ISQGD
ISQGD Global Network
International Seminar on Quantization, Geometry, and Dynamics (ISQGD)

Hosted by the School of Mathematical and Statistical Sciences at The University of Texas Rio Grande Valley (UTRGV), USA.

Guided by an Advisory and Governing Body composed of eminent senior professors.

The mission of the International Seminar on Quantization, Geometry, and Dynamics (ISQGD) is to advance and connect research in quantization, geometry, and dynamics by cultivating rigorous mathematical dialogue, promoting global collaboration, and bridging classical theory with emerging directions in contemporary mathematics.

A Truly Global Home of Mathematics
rooted in quantization, geometry, and dynamics—where ideas grow, collaborations flourish, and the next generation of researchers is inspired.

ISQGD is envisioned, in the long run, to evolve into an International Society
for Quantization, Geometry, and Dynamics.

About ISQGD

The International Seminar on Quantization, Geometry, and Dynamics (ISQGD) is an international scholarly platform dedicated to advancing research across a broad spectrum of interconnected mathematical disciplines. ISQGD brings together researchers working in quantization theory, fractal geometry, topology, dynamical systems, ergodic theory, operator theory, fixed point theory, harmonic and functional analysis, geometric analysis, geometric measure theory, optimal transport, variational methods, geometric optimization, and closely related areas spanning analysis, geometry, probability, computation, and applications.

ISQGD is designed to foster high-level international collaboration, highlight emerging developments, and provide a sustained and professionally organized environment for scholarly exchange among mathematicians at all career stages. Academic activities are scheduled with careful attention to global time zones to enable broad worldwide participation. When appropriate and feasible, selected presentations are recorded and archived through official ISQGD channels to serve as long-term scholarly resources for the global mathematical community.

ISQGD is currently hosted by the School of Mathematics and Statistical Sciences at the University of Texas Rio Grande Valley (UTRGV), Texas, USA, and is guided by an Advisory and Governing Body composed of distinguished senior professors. Their guidance helps ensure ISQGD’s academic quality, visibility, integrity, and long-term development.

In addition to regular seminar lectures, ISQGD actively facilitates the organization of workshops, thematic programs, mini-courses, special sessions, and conferences, subject to academic merit, organizational capacity, and available resources. Participation in and organization of ISQGD activities are structured to maintain professional standards and support sustainable growth.

Researchers interested in presenting their work or proposing academic activities are warmly encouraged to contact members of the organizing committee.

Long-Term Vision and Sustainability

ISQGD is envisioned, in the long run, to evolve into an International Society for Quantization, Geometry, and Dynamics (ISQGD), serving as a permanent global academic home for researchers in these areas. Achieving this vision requires sustained community engagement, careful planning, and the development of appropriate academic and organizational infrastructure.

To support this goal, ISQGD relies on community support and responsible resource management to maintain essential operations, including professional online platforms, digital archiving, administrative coordination, and academic programming. As ISQGD continues to grow, certain activities may involve registration fees, membership structures, or targeted fundraising initiatives, in line with standard practices of international academic societies.

Community Support

Voluntary contributions and institutional support play an important role in sustaining ISQGD’s activities and ensuring their quality and continuity. Such support is used to maintain professional online infrastructure, ensure reliable digital archiving, and facilitate seminars, workshops, special sessions, and outreach initiatives.

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To support ISQGD, please consider making a contribution:
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Research Areas and Core Pillars of ISQGD

ISQGD covers a broad range of research areas spanning quantization, geometry, and dynamics, together with their many deep connections to related fields. Talks are welcome in, but not limited to, the following areas:

  1. Quantization Theory

    Constrained and unconstrained quantization; optimal n-means for continuous, discrete, singular, and self-similar distributions; error analysis, high-resolution asymptotics, convergence rates, and stability results; quantization dimension, quantization coefficients, and local dimension relationships; quantization on Euclidean spaces, Riemannian manifolds, spherical surfaces, fractal sets, and other nonlinear metric spaces; geometric, variational, and algorithmic methods for computing optimal sets; and quantization on graphs, networks, and combinatorial metric structures.

  2. Fractal Geometry

    Self-similar, self-affine, and random fractal sets; Moran constructions, generalized Moran structures, and iterated function systems (IFS) with or without overlap; fractal functions, fractal interpolation schemes, and IFS-generated curves and surfaces; classical and generalized dimensions (Hausdorff, packing, box-counting, Assouad, and lower dimensions); multifractal analysis and spectrum theory for measures and dynamical quantities; fractal boundaries, attractors, invariant sets, Julia sets, and limit sets; fractal geometry on manifolds, spheres, and curved surfaces; and applications to dynamical systems, geometric structures, optimization, and measure-theoretic modeling.

  3. Topology

    Topological spaces and structures arising in quantization, geometry, and dynamical systems; general topology of metric and topological spaces, including compactness, connectedness, continuity, convergence, and completeness; low-dimensional and geometric topology, including knot theory, link theory, and embeddings of curves and graphs in manifolds, with connections to dynamical systems, geometry, and mathematical physics; topological manifolds and spaces appearing in geometric, fractal, and dynamical settings; topological and symbolic dynamics, shift spaces, subshifts of finite type, and coding of dynamical systems; invariant sets, attractors, limit sets, orbit closures, recurrence, and minimality; topological entropy, conjugacy, semi-conjugacy, and structural stability; Cantor-type sets and totally disconnected spaces; topological dimension theory and its relationships with Hausdorff, packing, box-counting, and other fractal dimensions; topology of self-similar, self-affine, and dynamically defined sets; graph, network, and combinatorial topology; topological constraints and stability phenomena in constrained and conditional quantization; and connections with shape theory, inverse limits, persistent homology, and topological data analysis, with applications to variational problems, optimal transport, and quantization on nonlinear and singular spaces.

  4. Dynamical Systems

    Uniformly, partially, and non-uniformly hyperbolic systems; symbolic dynamics, Markov partitions, and subshifts; thermodynamic formalism including pressure, equilibrium states, Gibbs measures, and large deviation principles; invariant sets, attractors, limit sets, Lyapunov exponents, entropy, and stability theory; chaotic dynamics, mixing, robustness, and quantum and semiclassical aspects of dynamical systems (quantum chaos); and random, parametric, and skew-product systems.

    The area also includes infinite-dimensional dynamical systems generated by partial differential equations, including fluid-dynamical flows, with focus on invariant structures, attractors, mixing, and ergodic properties.

    The scope further encompasses conformal and complex dynamics, including rational, meromorphic, and entire maps; Julia and Fatou sets; rational and transcendental semigroups; conformal graph-directed systems; dimension theory for conformal and holomorphic iterated function systems; and the thermodynamic and fractal properties of complex and random holomorphic dynamical systems.

  5. Ergodic Theory

    Ergodic measures, invariant transformations, and ergodic decompositions; unique ergodicity, rigidity phenomena, and classification of invariant measures; mixing, weak mixing, strong mixing, and decay of correlations; metric and topological entropy, recurrence theory, and orbit distributions; applications to quantization, information theory, and geometric measure structures; and connections with number theory, Diophantine approximation, and dynamical systems on homogeneous and arithmetic spaces.

  6. Operator Theory

    Linear and nonlinear operators on Banach and Hilbert spaces; bounded, compact, and self-adjoint operators; spectral theory and spectral geometry, including eigenvalue problems, spectral asymptotics, spectral measures, resonances, and inverse spectral questions; functional calculus, semigroups of operators, and generator theory; C*-algebras, von Neumann algebras, and noncommutative geometric methods in dynamics and geometry; transfer operators, Perron–Frobenius and Koopman operators arising in ergodic theory and dynamical systems; operator-theoretic methods in quantization, including spectral decompositions, compactness and stability properties, and operator-valued metrics; Laplacians, Schrödinger-type operators, and differential operators on manifolds, graphs, quantum graphs, and fractal sets; and applications to geometric analysis, harmonic analysis, complex dynamics, and mathematical physics.

  7. Fixed Point Theory

    Classical and modern fixed point theorems, including Banach, Schauder, Brouwer, Kakutani, Browder, and Krasnosel’skii-type results; fixed points of linear and nonlinear operators, multivalued maps, and nonexpansive mappings on Banach, Hilbert, and general metric spaces; contraction principles and generalized fixed point frameworks in metric and topological settings; invariant points and equilibrium states in dynamical systems, iterated function systems, and random and parametric processes; fixed points of transfer operators, Perron–Frobenius operators, and Markov operators arising in ergodic theory and thermodynamic formalism; applications to fractal geometry, self-similarity, and attractor theory; fixed point methods in variational problems, evolution equations, and partial differential equations; and connections with quantization, optimal transport, geometric optimization, and stability theory.

  8. Harmonic Analysis on Fractals and Metric Spaces

    Fourier and wavelet analysis on fractals, graphs, networks, and irregular metric spaces; frames, sampling theory, and multiresolution and multiscale structures; harmonic analysis on manifolds and metric-measure spaces; Fourier-analytic and spectral properties of self-similar and self-affine sets; heat kernel analysis and diffusion processes from a harmonic-analytic viewpoint; and applications to signal analysis, image processing, and data representation on complex geometric and multiscale structures.

  9. Functional Analysis (Foundations and Infinite-Dimensional Analysis)

    Banach and Hilbert space theory; locally convex spaces; weak, strong, and weak-* topologies; compactness, reflexivity, and duality methods; infinite-dimensional analysis; variational and convex-analytic frameworks; functional-analytic foundations underlying quantization, ergodic theory, and thermodynamic formalism; operator semigroups and evolution equations from a functional-analytic perspective; and interactions with infinite-dimensional dynamical systems, diffusion processes, and analysis on metric-measure and fractal spaces.

  10. Geometric Analysis

    Geometric analysis on smooth manifolds, including Riemannian and metric geometry; curvature-dependent geometric PDEs and variational problems; classical and sharp geometric inequalities with applications to quantization and optimization; Laplace–Beltrami operators, semiclassical and microlocal analysis, eigenvalue problems, and geometric spectral theory; structure and analysis of measure and metric-measure spaces; and spherical geometry involving small circles, spherical polygons, geodesic configurations, and geometric optimization on curved surfaces.

  11. Geometric Measure Theory

    Rectifiable and unrectifiable sets, geometric densities, and Hausdorff measures; projection theorems, slicing techniques, and dimension theory; measure-theoretic and geometric foundations of fractals, invariant sets, and dynamical systems; and applications to quantization, geometric approximation, and optimization on irregular, singular, or fractal geometric spaces.

  12. Optimal Transport

    Wasserstein distances (Wp), optimal transport maps, and Kantorovich formulations; transport-based approaches to quantization, clustering, and geometric approximation; geometric, analytic, and dynamical applications of optimal transport; gradient flows and evolution equations in Wasserstein spaces; transport and functional inequalities, including Talagrand, HWI, and logarithmic Sobolev inequalities; curvature-dimension conditions and displacement convexity; and metric-measure structures and geometric analysis arising from optimal transport theory.

  13. Variational Methods

    Variational principles underlying quantization, geometric partitioning, and energy-based optimization; minimization of geometric and analytic energies on Euclidean spaces, manifolds, and fractal domains; classical and modern tools from the calculus of variations, including Euler–Lagrange equations, variational inequalities, and geometric functionals; nonlocal variational models, peridynamics, and nonlocal continuum mechanics; discrete-to-continuum limits, Γ-convergence, and asymptotic analysis for local and nonlocal energies; and deep connections with elliptic and geometric partial differential equations, optimal transport, and geometric optimization on curved, singular, and irregular spaces.

  14. Geometric Optimization

    Centroidal Voronoi tessellations (CVTs) and optimal tessellations; energy-minimizing and equilibrium configurations on Euclidean domains, manifolds, and curved surfaces; sphere packing, covering, and best-packing problems; geometric coding theory, spherical designs, and optimal spherical codes; optimal partitions and quantization on geometric and metric-measure spaces; and applications to geometric approximation and optimization on curved and non-Euclidean surfaces.

  15. Probability Theory and Stochastic Processes

    Stochastic processes and random walks on manifolds, graphs, and fractal spaces; Markov chains, Markov processes, and random dynamical systems; Brownian motion and diffusions on irregular geometries; stochastic differential equations and stochastic flows; probabilistic potential theory and martingale methods in dimension theory; and random constructions in fractals, invariant measures, and quantization.

  16. Computational Mathematics and Numerical Methods

    Numerical algorithms for optimal quantization, clustering, and geometric approximation; simulation and computation of dynamical systems, fractal structures, and geometric flows; numerical schemes for partial differential equations and variational problems on manifolds, metric spaces, and irregular domains; numerical analysis and simulation of nonlocal and peridynamic models, including multiscale, adaptive, and nonlocal discretization techniques; high-performance and large-scale computing for geometric, dynamical, and stochastic models; and discrete and computational approaches to spectral problems, energy minimization, inverse problems, and optimal transport.

  17. Machine Learning, AI Geometry, and Data Science (Mathematical Foundations)

    Vector quantizers, prototype-based models, and clustering algorithms; geometric and manifold-based learning; Wasserstein and transport-based methods in data science; fractal and multiscale features in learning and signal analysis; mathematical foundations of geometric deep learning and representation learning; and rigorous links between quantization, statistical learning theory, and modern data-driven methods.

  18. Mathematical Physics and Discrete Energy Models

    Minimal-energy particle systems and Coulomb/Riesz-type interactions; discrete energies and equilibrium configurations on manifolds, spheres, graphs, and fractal sets; quantum and semiclassical models with geometric, spectral, or fractal structure; Schrödinger operators, quantum graphs, and spectral geometry; Gibbs states, free energy minimization, phase transitions, and quantum ergodicity; and statistical-mechanical frameworks involving potentials, equilibrium distributions, and thermodynamic limits with geometric or dynamical features.

  19. Information Geometry and Statistical Mechanics

    Divergences and information-theoretic distances (including α-divergences, Rényi and Tsallis entropies, and Bregman-type divergences); statistical manifolds, Fisher information metrics, and information-geometric flows; entropy-based variational principles and free energy functionals; gradient flows and evolution equations in spaces of probability measures; and connections with optimal transport, thermodynamic formalism, and equilibrium states in dynamical systems and quantization.

  20. Applications and Interdisciplinary Directions

    Applications in data compression, signal processing, and information theory; machine-learning methods including vector quantizers, clustering algorithms, and prototype-based models; numerical approximation and discretization techniques on manifolds and geometric domains; geometric modeling, mesh generation, and computer graphics; mathematical physics involving minimal-energy particle systems, Coulomb/Riesz interactions, and discrete energies; and statistical-mechanical frameworks involving free energy, potentials, and equilibrium distributions.

  21. Additional and Emerging Research Directions

    1. Nonlocal Models and Peridynamics.
      Nonlocal diffusion and interaction models; nonlocal variational formulations and peridynamics; discrete-to-continuum limits and convergence analysis; numerical and analytical methods for nonlocal operators; and applications to materials science, continuum mechanics, fracture modeling, and multiscale geometric structures.
    2. Dimension Theory and Multiscale Geometry.
      Dimension theory across geometry, dynamics, probability, and fractals; dimension spectra for measures and invariant sets; multiscale geometric analysis; and rigidity and stability phenomena.
    3. Metric Geometry and Analysis on Metric Spaces.
      Gromov–Hausdorff convergence; analysis on metric-measure spaces; curvature notions in nonsmooth settings; and applications to quantization and optimal transport.
    4. Random and Stochastic Geometry.
      Random geometric structures; Poisson point processes; random graphs and tessellations; stochastic geometry on manifolds and fractals; and probabilistic quantization methods.
    5. Discrete Geometry and Discrete Dynamical Systems.
      Combinatorial geometry; graph dynamics; cellular automata; and energy minimization and quantization on discrete structures.
    6. Inverse Problems and Geometric Reconstruction.
      Inverse problems on geometric and fractal domains; reconstruction from quantized or noisy data; stability and identifiability; and applications to imaging and data analysis.
    7. Partial Differential Equations on Irregular Domains.
      PDEs on fractals and singular spaces; heat, wave, and diffusion equations; spectral and variational aspects; and interactions with operator theory and harmonic analysis.
    8. Mathematical Foundations of Scientific Computing.
      Convergence and stability of numerical schemes; quantization-based discretization; and theoretical aspects of computation in geometry and dynamics.
    9. Mathematical Biology, Networks, and Complex Systems.
      Dynamical systems and networks in biological and complex systems; geometric and probabilistic modeling; quantization and clustering methods; and large-scale interacting systems.
    10. Spectral, Semiclassical, and Scaling Phenomena.
      Spectral asymptotics; semiclassical limits; renormalization and scaling methods; multifractal spectra of measures and eigenfunctions; spectral optimization and shape optimization; and interfaces between spectra, geometry, and dynamics.

    The above list is not exhaustive; ISQGD warmly welcomes contributions at the interfaces of these areas, as well as new and emerging directions aligned with its mission.

Objectives

The International Seminar on Quantization, Geometry, and Dynamics (ISQGD) is guided by the following objectives:

  1. Foster high-level international collaboration by bringing together researchers across the diverse and interconnected mathematical areas represented within ISQGD, with particular emphasis on deep structural, conceptual, and methodological interactions.
  2. Encourage broad, inclusive, and sustained participation from mathematicians at all career stages—including established researchers, postdoctoral scholars, graduate students, and early-career mathematicians—thereby cultivating a diverse, globally engaged, and intellectually vibrant research community.
  3. Promote the dissemination of significant recent advances and emerging directions in the mathematical sciences through professionally organized seminars, lectures, and scholarly activities that reflect the evolving landscape of contemporary research.
  4. Provide a sustained and well-structured forum for the exchange of ideas, the initiation of new collaborations, and the development of thematic academic activities, including workshops, mini-courses, conferences, special sessions, and collaborative research initiatives.
  5. Support expository, foundational, and interdisciplinary work that strengthens conceptual links across the areas represented by ISQGD, contributing to a deeper, more unified understanding of modern mathematical structures and methods.

Message from the Founding Chair, ISQGD

The vision of the International Seminar on Quantization, Geometry, and Dynamics (ISQGD) is to cultivate a truly global scholarly community in which meaningful mathematical exchange can flourish across continents, traditions, and research cultures. Mathematical progress grows not only from individual insight, but also from sustained dialogue, shared exploration, and the collective pursuit of deeper understanding. ISQGD was founded to embody and advance these values, fostering connections that enrich both the present and future landscape of mathematical research.

In the long run, ISQGD is envisioned to evolve into an International Society for Quantization, Geometry, and Dynamics (ISQGD), serving as a permanent international framework for scholarly interaction, collaboration, and academic leadership. This long-term aspiration guides the overall character and direction of ISQGD and informs how its activities are conceived, organized, and sustained.

The organizing committee is dedicated to fostering an environment in which researchers can engage in thoughtful exchange, explore new perspectives, and develop lasting professional connections. ISQGD strives to cultivate a scholarly program that is inclusive, intellectually vibrant, and professionally structured, welcoming participation from mathematicians worldwide at every stage of their academic journey.

The continued growth of ISQGD is made possible by the dedication and enthusiasm of its speakers, participants, and supporters around the world. It is our aspiration that ISQGD will continue to flourish, stimulate productive collaborations, inspire thematic workshops and related initiatives, and contribute meaningfully to the advancement of the global mathematical community for many years to come.

— Dr. Mrinal K. Roychowdhury
Founding Chair, ISQGD

Registration

Anyone interested in the International Seminar on Quantization, Geometry, and Dynamics (ISQGD) is welcome to join by subscribing using the button below. Subscribers will receive seminar announcements, Zoom links, updates, workshop and mini-course notices, special issue news, and other ISQGD-related communications.

Register for ISQGD Unsubscribe

If you experience any difficulty registering or unsubscribing, please contact: mrinal.roychowdhury@utrgv.edu.

For Speakers

ISQGD welcomes researchers from around the world to present their work in research areas represented within the scope of the International Seminar on Quantization, Geometry, and Dynamics (ISQGD). Our goal is to provide a globally visible, academically credible, and professionally structured platform for the presentation and exchange of new ideas.

ISQGD hosts talks by both invited speakers and researchers who wish to propose a presentation. Researchers interested in giving a talk are warmly encouraged to contact members of the organizing committee to discuss available speaking opportunities and scheduling.

Academic Credibility and Institutional Framework

Academic credibility is central to ensuring that speakers receive appropriate professional recognition for their contributions. ISQGD is currently hosted by the School of Mathematical and Statistical Sciences at the University of Texas Rio Grande Valley (UTRGV), USA, and is guided by an Advisory and Governing Body composed of distinguished senior professors.

Professor Palle E. T. Jorgensen (University of Iowa) serves as the President of this body. This leadership framework helps ensure the academic quality, visibility, and long-term credibility of ISQGD activities.

Visibility and Scholarly Recognition

Speakers presenting at ISQGD benefit from meaningful professional visibility, including:

  • Participation in a globally attended, international academic forum
  • Presentation within a formally organized and institutionally hosted seminar series
  • Inclusion in ISQGD event listings and the Past Talks Archive
  • Recognition on the official ISQGD website
  • When applicable, archiving of talks through official ISQGD media channels

Together, these mechanisms help ensure that each presentation contributes positively to the speaker’s scholarly profile.

Recording and Archiving Policy

With the consent of the speaker, ISQGD presentations may be recorded and archived through official ISQGD platforms, including the ISQGD YouTube channel and the ISQGD Past Talks Archive.

This practice supports long-term accessibility, broad dissemination of research ideas, and the creation of stable scholarly resources. Speakers may request edits, restricted access, or removal of recordings at any time, and ISQGD will make every reasonable effort to accommodate such requests.

Certificates of Presentation (Optional)

Upon request, ISQGD can provide presenters with an official Certificate of Presentation, signed by the Chair of ISQGD, for academic documentation and professional records.

Professional Support for Speakers

ISQGD is committed to ensuring that each presentation is conducted in a smooth, professional, and well-supported manner. To this end, ISQGD provides:

  • A professional online platform for seminars and events
  • Technical assistance before and during presentations
  • Publicity through mailing lists, announcements, and global academic networks
  • Coordination of scheduling, communication, and event logistics

Sustainability and Community Support

Operating a high-quality academic platform—including professional online infrastructure, technical support, digital archiving, publicity, and coordination of workshops and special sessions—incurs ongoing operational costs. To maintain these standards and to support the continued development of ISQGD in line with its long-term vision, ISQGD relies on a combination of institutional support, community engagement, and responsible resource planning.

Depending on the nature of the activity, ISQGD events may involve registration or participation fees, consistent with standard practices of international academic societies. In addition, voluntary contributions from speakers, participants, and supporters play an important role in sustaining ISQGD’s activities and expanding its global reach.

All such policies are designed to ensure academic quality, accessibility, and long-term sustainability, while remaining mindful of inclusivity and support for early-career researchers and students.

Support ISQGD

News & Community Updates

This section provides official updates on ISQGD-related matters, including organizational developments, community news, special issue and proceedings announcements, global academic support initiatives, seminar updates, media releases, and other important announcements. Information will be updated regularly as new developments arise.

1) ISQGD Talk Announcements

Regular ISQGD talks are held throughout the academic year.
Whether ISQGD will run sessions during the summer will be decided at a later date.

2) Important Updates

Recording Policy

Videos of all ISQGD talks will be posted shortly after each presentation on the ISQGD YouTube channel. This ensures open access for researchers, students, and the broader mathematical community worldwide.

Appointment of the President (Advisory & Governing Body)

Professor Palle E. T. Jorgensen (University of Iowa, USA) has been appointed President of the ISQGD Advisory and Governing Body.
A world-renowned scholar with influential contributions to harmonic analysis, operator theory, wavelet theory, and fractal geometry, Professor Jorgensen brings exceptional vision and leadership to ISQGD. His guidance will significantly shape the seminar’s academic mission, long-term development, and global presence.

3) Global Academic Support by ISQGD

ISQGD is committed to fostering international mathematical exchange by supporting researchers and institutions in organizing high-quality academic events. Subject to availability, ISQGD offers guidance and assistance in planning workshops, thematic workshops, mini-courses, special sessions, and conferences under the ISQGD platform. This support includes help with scheduling, coordination, and access to ISQGD-licensed Zoom links. Researchers interested in organizing such activities are warmly invited to contact ISQGD for further assistance.

• Workshops

General research-focused meetings that may span multiple themes within ISQGD related areas. Workshops typically feature invited talks, participant discussions, and opportunities for collaboration across interconnected topics.

• Thematic Workshops

Highly focused academic meetings built around a single, well-defined research theme—such as a specialized area within Fractal Geometry, Ergodic Theory, or a particular branch of Dynamical Systems. Their narrowly scoped structure enables deeper scientific engagement, cohesive dialogue, and meaningful research interaction among scholars working on closely related problems.

• Mini-Courses

Structured, pedagogical lecture series designed to train students and early-career researchers in emerging or advanced topics connected to ISQGD themes. Mini-courses emphasize clarity, accessibility, and conceptual development, offering participants sustained exposure to specialized material.

• Special Sessions

ISQGD supports the organization of Special Sessions dedicated to sharply defined research themes within its scope. These sessions typically consist of a curated collection of invited talks centered around a coherent topic, providing a platform for researchers to present new results, discuss open problems, and explore active directions in the field.

Their flexible format encourages interactive engagement, exchange of ideas, and the formation of new research collaborations, thereby strengthening ISQGD’s global academic community.

• Conferences

Medium- to large-scale academic events featuring plenary lectures, parallel sessions, specialized tracks, and broad research participation across ISQGD-related areas. Conferences provide an expansive platform for interdisciplinary exchange, global engagement, and enhanced visibility of emerging research.

4) Publications & Community News

  • The Special Issue titled Quantization, Fractals, Ergodic Theory, and Dynamical Systems, to be published in Chaos, Solitons & Fractals, is now accepting submissions.
    🔗 Special Issue Webpage

ISQGD Distinguished Lecture Series

The ISQGD Distinguished Lecture Series features invited talks by distinguished researchers and emerging leaders from around the world. A chronological record of speaker announcements appears below and is updated on an ongoing basis as new talks are confirmed.

Professor Stefano Galatolo (Dipartimento di Matematica and Centro Interdipartimentale per lo Studio dei Sistemi Complessi, Università di Pisa, Italy)

Webpage: Visit Webpage

Title: Extreme events, local dimension and hitting-time statistics in deterministic and random dynamical systems

Date & Time

  • GMT: Friday, January 16 — 3:00 PM
  • US Central Time (CST): Friday, January 16 — 9:00 AM
  • Speaker’s Local Time (Pisa, Italy): Friday, January 16 — 4:00 PM

Zoom Meeting Link: 🔗 Join the Meeting (Zoom)
Meeting ID: 882 8369 3708

Abstract:
In dynamical systems theory, extreme events have been extensively studied and related to the statistical and asymptotical behavior of waiting (or hitting) times to small targets. In this talk, I will review some recent and less recent results in this direction, showing how power-law behavior of waiting times is linked to the local (fractal) dimension of the invariant measure, both in the autonomous and in the non-autonomous setting. Time permitting we will move to more refined asymptotic estimates, we will also discuss the limiting distribution of the waiting time for extreme events. In particular, I will present recent results in this direction for stochastic differential equations.

Professor Jonathan Fraser (University of St Andrews, UK)

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Title: Dimension interpolation and the geometry of fractals

Date & Time

  • GMT: Friday, January 23 — 3:00 PM
  • US Central Time (CST): Friday, January 23 — 9:00 AM
  • Speaker’s Local Time (UK): Friday, January 23 — 3:00 PM

Zoom Meeting Link: 🔗 Join the Meeting (Zoom)
Meeting ID: 882 8369 3708

Abstract:
Dimension theory is an important sub-field of fractal geometry where one attempts to classify and describe fractal objects by assigning to them a 'dimension', that is, a quantity which reflects some geometric or analytic features of the object. It turns out there are many interesting and equally natural ways to define the 'dimension' of a fractal and one of the joys of the subject is in understanding how these different notations connect. Dimension interpolation is a relatively new programme where one tries to define 'dimension functions' which live in-between classical notions of dimension with the broad aim of gleaning more nuanced information about the object and a more holistic view of the field in general. I will survey some recent developments in this area.

Professor Patrick D. Shipman (The University of Arizona, USA)

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Title: Geometry, Fractals, and Dynamics from Nucleation and Growth

Date & Time

  • GMT: Friday, January 30 — 3:00 PM
  • US Central Time (CST): Friday, January 30 — 9:00 AM
  • Speaker’s Local Time (MST): Friday, January 30 — 8:00 AM

Zoom Meeting Link: 🔗 Join the Meeting (Zoom)
Meeting ID: 882 8369 3708

Abstract:

We begin by observing patterns, motion, fractals, and a variety of geometric structures in a series of chemical experiments ranging from plant pigments under the influence of atmospheric pollutants to microtornados. A common theme of these experiments is nucleation from the vapor or liquid phase of solid nanoparticles, followed by their subsequent growth. Applications of size-controlled, uniform nanoparticles are vast. Yet the chemical mechanisms governing particle formation—and how to control particle size distributions—have long remained an unsolved problem in materials chemistry.

We introduce Bayesian-enabled mechanism-enabled population balance modeling (BE-MEPBM), which allows us to determine previously inaccessible chemical mechanisms directly from measured particle size distributions. Mathematically, BE-MEPBM is based on coupled integro–partial differential equations describing nucleation, growth, and transport, and can be viewed as an infinite-dimensional dynamical system evolving in time (and, in many cases, space). Determining these parameters from experimental data leads naturally to a PDE-constrained inverse problem. By embedding the model within a Bayesian framework, we obtain uncertainty-aware reconstructions of kinetic mechanisms, posterior distributions over parameters, and quantitative assessments of identifiability and predictive reliability.

Many of these experiments originated in discussions on developing engaging activities for applied mathematics courses, where chemical pattern formation serves as a concrete setting for dynamical systems, inverse problems, and uncertainty quantification. We close with reflections on this pedagogical endeavor and its role in connecting mathematical structure to visually compelling physical phenomena.

Dr. William O'Regan (University of British Columbia, Canada)

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Title: To be announced.

Date & Time

  • GMT: Friday, February 06 — 3:00 PM
  • US Central Time (CST): Friday, February 06 — 9:00 AM
  • Speaker’s Local Time (UBC, Vancouver — PST, UTC−8): Friday, February 06 — 7:00 AM

Zoom Meeting Link: 🔗 Join the Meeting (Zoom)
Meeting ID: 882 8369 3708

Abstract:
To be announced.

Professor Károly Simon (Institute of Mathematics, Budapest University of Technology and Economics, Budapest, Hungary)

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Title: To be announced.

Date & Time

  • GMT: Friday, February 13 — 3:00 PM
  • US Central Time (CST): Friday, February 13 — 9:00 AM
  • Speaker’s Local Time (Budapest, Hungary): Friday, February 13 — 4:00 PM

Zoom Meeting Link: 🔗 Join the Meeting (Zoom)
Meeting ID: 882 8369 3708

Abstract:
To be announced.

Professor Christian Wolf (Department of Mathematics and Statistics, Mississippi State University, USA)

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Title: Computability of measures of maximal entropy on coded shift spaces

Date & Time

  • GMT: Friday, February 20 — 3:00 PM
  • US Central Time (CST): Friday, February 20 — 9:00 AM
  • Speaker’s Local Time (CST): Friday, February 20 — 9:00 AM

Zoom Meeting Link: 🔗 Join the Meeting (Zoom)
Meeting ID: 882 8369 3708

Abstract:
Coded shifts are natural generalizations of sofic shifts, defined as the closure of all bi-infinite concatenations of words (generators) from a countable generating set $\mathbb{G}$. In this talk, we present recent results on the computability of measures of maximal entropy (MMEs) for coded shift spaces. Our first main result shows that if an MME assigns full measure to the set of concatenations, then it is unique, $\mathbb{G}$-Bernoulli, and computable, provided that the Vere–Jones parameter of $\mathbb{G}$ is computable. This yields computability of the MME for several well-known classes of shift spaces, including S-gap shifts, multiple gap shifts, and $\beta$-shifts. The same methods also establish the computability of the two ergodic MMEs of the Dyck shift. We also examine the complementary case in which an MME assigns zero measure to the concatenation set. In this setting, MMEs are generally not unique. We show that even when the MME is unique and the Vere–Jones parameter is computable, the MME need not be computable in general. This is joint work with Tamara Kucherenko and Marco López.

Professor Kenneth Falconer (School of Mathematics and Statistics, University of St Andrews, UK)

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Title: To be announced.

Date & Time

  • GMT: Friday, February 27 — 3:00 PM
  • US Central Time (CST): Friday, February 27 — 9:00 AM
  • Speaker’s Local Time (UK): Friday, February 27 — 3:00 PM

Zoom Meeting Link: 🔗 Join the Meeting (Zoom)
Meeting ID: 882 8369 3708

Abstract:
To be announced.

Dr. Zhiqiang Wang (The University of British Columbia (Canada) & Chongqing University (China))

Title: To be announced.

Date & Time

  • GMT: Friday, March 13 — 2:00 PM
  • US Central Time (CST): Friday, March 13 — 9:00 AM
  • Speaker’s Local Time (British Columbia — PST): Friday, March 13 — 7:00 AM

Zoom Meeting Link: 🔗 Join the Meeting (Zoom)
Meeting ID: 882 8369 3708

Abstract:
To be announced.

Professor Lars Olsen (School of Mathematics and Statistics, University of St Andrews, UK)

Webpage: Visit Webpage

Title: The Baire Hierarchy, Multifractal Decomposition Sets and $\Pi^0_\gamma$-Completeness

Date & Time

  • GMT: Friday, March 27 — 2:00 PM
  • US Central Time (CST): Friday, March 27 — 9:00 AM
  • Speaker’s Local Time (UK): Friday, March 27 — 2:00 PM

Zoom Meeting Link: 🔗 Join the Meeting (Zoom)
Meeting ID: 882 8369 3708

Abstract:
This talk discusses the position of the so-called multifractal decomposition sets in the Baire hierarchy. In particular, we prove that multifractal decomposition sets are the building blocks from which all other $\Pi^0_\gamma$-sets can be constructed. More precisely, multifractal decomposition sets are $\Pi^0_\gamma$-complete. As an application, we determine the position of the classical Eggleston--Besicovitch set in the Baire hierarchy.

Professor Wuchen Li (Department of Mathematics, University of South Carolina, USA)

Webpage: Visit Webpage

Title: Transport alpha divergences

Date & Time

  • GMT: Friday, April 3 — 2:00 PM
  • US Central Time (CST): Friday, April 3 — 9:00 AM
  • Speaker’s Local Time (South Carolina, EDT): Friday, April 3 — 10:00 AM

Zoom Meeting Link: 🔗 Join the Meeting (Zoom)
Meeting ID: 882 8369 3708

Abstract:
We derive a class of divergences measuring the difference between probability density functions on a one-dimensional sample space. This divergence is a one-parameter variation of the {Itakura--Saito} divergence between quantile density functions. We prove that the proposed divergence is a one-parameter variation of transport Kullback-Leibler divergence and Hessian distance of negative Boltzmann entropy with respect to Wasserstein-2 metric. From Taylor expansions, we also formulate the 3-symmetric tensor in Wasserstein space, which is given by an iterative Gamma three operators. The alpha-geodesic on Wasserstein space is also derived. From these properties, we name the proposed information measures transport alpha divergences. We provide several examples of transport alpha divergences for generative models in machine learning applications.

ISQGD Special Sessions

ISQGD Special Sessions consist of thematically focused collections of invited talks, typically co-organized by leading researchers. These sessions foster concentrated interaction around emerging directions in ISQGD related areas.

ISQGD Special Session #1 – Fractal Geometry and Dynamical Systems (February 14–15, 2026)

Date: February 14-15, 2026 (Saturday-Sunday)
Format: Online via Zoom

Zoom Meeting Link: 🔗 Join the Meeting (Zoom)
Meeting ID: 882 8369 3708

Registration Fee: None

Voluntary Support: There is no registration fee; however, any form of voluntary support, including donations, is greatly appreciated and helps sustain ISQGD’s academic activities.

Deadline for Abstract Submission: January 14, 2026.

Event Registration, Title and Abstract Submission:
🔗 Register & Submit Title/Abstract

Time (Multiple Time Zones)
Saturday (February 14, 2026)
GMT: 3:00 PM – 6:00 PM, 8:00 PM – 11:00 PM
UK (GMT): 3:00 PM – 6:00 PM, 8:00 PM – 11:00 PM
Germany (CET): 4:00 PM – 7:00 PM, 9:00 PM – 12:00 AM (Sunday)
Japan (JST): 12:00 AM – 3:00 AM (Sunday), 5:00 AM – 8:00 AM (Sunday)
China (CST): 11:00 PM – 2:00 AM (Sunday), 4:00 AM – 7:00 AM (Sunday)
India (IST): 8:30 PM – 11:30 PM, 1:30 AM – 4:30 AM (Sunday)
USA (Eastern – EST): 10:00 AM – 1:00 PM, 3:00 PM – 6:00 PM
USA (Central – CST): 9:00 AM – 12:00 PM, 2:00 PM – 5:00 PM
USA (Western – PST): 7:00 AM – 10:00 AM, 12:00 PM – 3:00 PM
Sunday (February 15, 2026)
GMT: 3:00 PM – 6:00 PM
UK (GMT): 3:00 PM – 6:00 PM
Germany (CET): 4:00 PM – 7:00 PM
Japan (JST): 12:00 AM – 3:00 AM (Monday)
China (CST): 11:00 PM – 2:00 AM (Monday)
India (IST): 8:30 PM – 11:30 PM
USA (Eastern – EST): 10:00 AM – 1:00 PM
USA (Central – CST): 9:00 AM – 12:00 PM
USA (Western – PST): 7:00 AM – 10:00 AM
Note: Time zones are listed for convenience; please adjust if daylight saving time applies in your region.

Duration of Talk: Each presentation will be no more than 30 minutes, including time for questions and discussion.

Organizers:
• Dr. William Ott (University of Houston, USA)
  Email: william.ott.math@gmail.com
• Dr. Mrinal Kanti Roychowdhury (University of Texas Rio Grande Valley, USA)
  Email: mrinal.roychowdhury@utrgv.edu

Speakers & Schedule: Click here to view the full schedule

ISQGD Special Session #2 – Fractal Interpolation and Iterated Function Systems (February 21–22, 2026)

Date: February 21–22, 2026 (Saturday–Sunday)
Format: Online via Zoom

Zoom Meeting Link: 🔗 Join the Meeting (Zoom)
Meeting ID: 882 8369 3708

Registration Fee: None

Voluntary Support: There is no registration fee; however, any form of voluntary support, including donations, is greatly appreciated and helps sustain ISQGD’s academic activities.

Deadline for Abstract Submission: January 21, 2026.

Event Registration, Title and Abstract Submission:
🔗 Register & Submit Title/Abstract

Saturday (February 21, 2026)
GMT: 8:00 AM – 11:00 AM, 1:00 PM – 4:00 PM
UK (GMT): 8:00 AM – 11:00 AM, 1:00 PM – 4:00 PM
Germany (CET): 9:00 AM – 12:00 PM, 2:00 PM – 5:00 PM
Japan (JST): 5:00 PM – 8:00 PM, 10:00 PM – 1:00 AM (Sunday)
China (CST): 4:00 PM – 7:00 PM, 9:00 PM – 12:00 AM (Sunday)
India (IST): 1:30 PM – 4:30 PM, 6:30 PM – 9:30 PM
USA (Eastern – EST): 3:00 AM – 6:00 AM, 8:00 AM – 11:00 AM
USA (Central – CST): 2:00 AM – 5:00 AM, 7:00 AM – 10:00 AM
USA (Western – PST): 12:00 AM – 3:00 AM, 5:00 AM – 8:00 AM
Sunday (February 22, 2026)
GMT: 8:00 AM – 11:00 AM
UK (GMT): 8:00 AM – 11:00 AM
Germany (CET): 9:00 AM – 12:00 PM
Japan (JST): 5:00 PM – 8:00 PM
China (CST): 4:00 PM – 7:00 PM
India (IST): 1:30 PM – 4:30 PM
USA (Eastern – EST): 3:00 AM – 6:00 AM
USA (Central – CST): 2:00 AM – 5:00 AM
USA (Western – PST): 12:00 AM – 3:00 AM
Note: Time zones are listed for convenience; please adjust if daylight saving time applies in your region.

Duration of Talk: Each presentation will be no more than 30 minutes, including time for questions and discussion.

Organizers:
• Dr. Peter Massopust (Technical University of Munich, Germany)
  Email: massopust@ma.tum.de
• Dr. Megha Pandey (Northwest University, Xi’an, China)
  Email: meghapandey1071996@gmail.com
• Dr. Mrinal Kanti Roychowdhury (University of Texas Rio Grande Valley, USA)
  Email: mrinal.roychowdhury@utrgv.edu

Speakers & Schedule: Click here to view the full schedule

ISQGD Special Session #3 - Use of Harmonic Analysis in Quantization, Geometry, and Dynamics (March 7-8, 2026)

Date: March 7-8, 2026 (Saturday-Sunday)
Format: Online via Zoom

Zoom Meeting Link: 🔗 Join the Meeting (Zoom)
Meeting ID: 882 8369 3708

Registration Fee: None

Voluntary Support: There is no registration fee; however, any form of voluntary support, including donations, is greatly appreciated and helps sustain ISQGD’s academic activities.

Deadline for Abstract Submission: February 7, 2026.

Event Registration, Title and Abstract Submission:
🔗 Register & Submit Title/Abstract

Time (Multiple Time Zones)
Saturday (March 7, 2026)
GMT: 3:00 PM – 6:00 PM, 8:00 PM – 11:00 PM
UK (GMT): 3:00 PM – 6:00 PM, 8:00 PM – 11:00 PM
Germany (CET): 4:00 PM – 7:00 PM, 9:00 PM – 12:00 AM (Sunday, March 8)
Japan (JST): 12:00 AM – 3:00 AM, 5:00 AM – 8:00 AM (Sunday, March 8)
China (CST): 11:00 PM – 2:00 AM, 4:00 AM – 7:00 AM (Sunday, March 8)
India (IST): 8:30 PM – 11:30 PM, 1:30 AM – 4:30 AM (Sunday, March 8)
Canada (Pacific – PST): 7:00 AM – 10:00 AM, 12:00 PM – 3:00 PM
Canada (Eastern – EST): 10:00 AM – 1:00 PM, 3:00 PM – 6:00 PM
USA (Eastern – EST): 10:00 AM – 1:00 PM, 3:00 PM – 6:00 PM
USA (Central – CST): 9:00 AM – 12:00 PM, 2:00 PM – 5:00 PM
USA (Western – PST): 7:00 AM – 10:00 AM, 12:00 PM – 3:00 PM
Sunday (March 8, 2026)
GMT: 2:00 PM – 5:00 PM
UK (GMT): 2:00 PM – 5:00 PM
Germany (CET): 3:00 PM – 6:00 PM
Japan (JST): 11:00 PM – 2:00 AM (Monday, March 9)
China (CST): 10:00 PM – 1:00 AM (Monday, March 9)
India (IST): 7:30 PM – 10:30 PM
Canada (Pacific Time – PST): 7:00 AM – 10:00 AM
Canada (Eastern Time – EST): 10:00 AM – 1:00 PM
USA (Eastern – EST): 10:00 AM – 1:00 PM
USA (Central – CST): 9:00 AM – 12:00 PM
USA (Western – PST): 7:00 AM – 10:00 AM
Note: Time zones are listed for convenience; please adjust if daylight saving time applies in your region.

Duration of Talk: Each presentation will be no more than 30 minutes, including time for questions and discussion.

Organizers:
• Dr. Palle Jorgensen (University of Iowa, USA)
  Email: palle-jorgensen@uiowa.edu
• Dr. Mrinal Kanti Roychowdhury (University of Texas Rio Grande Valley, USA)
  Email: mrinal.roychowdhury@utrgv.edu

Speakers & Schedule: Click here to view the full schedule

ISQGD Special Session #4 - Analysis on Manifolds (March 14–15, 2026)

Date: March 14–15, 2026 (Saturday–Sunday)
Format: Online via Zoom

Zoom Meeting Link: 🔗 Join the Meeting (Zoom)
Meeting ID: 882 8369 3708

Registration Fee: None

Voluntary Support: There is no registration fee; however, any form of voluntary support, including donations, is greatly appreciated and helps sustain ISQGD’s academic activities.

Deadline for Abstract Submission: February 14, 2026.

Event Registration, Title and Abstract Submission:
🔗 Register & Submit Title/Abstract

Time (Multiple Time Zones)
Saturday (March 14, 2026)
GMT (UTC): 1:00 PM – 4:00 PM, 6:00 PM – 9:00 PM
UK (GMT): 1:00 PM – 4:00 PM, 6:00 PM – 9:00 PM
Germany (CET): 2:00 PM – 5:00 PM, 7:00 PM – 10:00 PM
Japan (JST): 10:00 PM – 1:00 AM (Sunday, March 15), 3:00 AM – 6:00 AM (Sunday, March 15)
China (CST): 9:00 PM – 12:00 AM (Sunday, March 15), 2:00 AM – 5:00 AM (Sunday, March 15)
India (IST): 6:30 PM – 9:30 PM, 11:30 PM – 2:30 AM (Sunday, March 15)
Canada (Pacific Time – PDT): 6:00 AM – 9:00 AM, 11:00 AM – 2:00 PM
Canada (Eastern Time – EDT): 9:00 AM – 12:00 PM, 2:00 PM – 5:00 PM
USA (Eastern – EDT): 9:00 AM – 12:00 PM, 2:00 PM – 5:00 PM
USA (Central – CDT): 8:00 AM – 11:00 AM, 1:00 PM – 4:00 PM
USA (Western – PDT): 6:00 AM – 9:00 AM, 11:00 AM – 2:00 PM
Sunday (March 15, 2026)
GMT (UTC): 1:00 PM – 4:00 PM
UK (GMT): 1:00 PM – 4:00 PM
Germany (CET): 2:00 PM – 5:00 PM
Japan (JST): 10:00 PM – 1:00 AM (Monday, March 16)
China (CST): 9:00 PM – 12:00 AM (Monday, March 16)
India (IST): 6:30 PM – 9:30 PM
Canada (Pacific Time – PDT): 6:00 AM – 9:00 AM
Canada (Eastern Time – EDT): 9:00 AM – 12:00 PM
USA (Eastern – EDT): 9:00 AM – 12:00 PM
USA (Central – CDT): 8:00 AM – 11:00 AM
USA (Western – PDT): 6:00 AM – 9:00 AM
Note: Time zones are listed for convenience; please adjust if daylight saving time applies in your region.

Duration of Talk: Each presentation will be no more than 30 minutes, including time for questions and discussion.

Organizers:
• Dr. Tatyana Barron (University of Western Ontario, Canada)
  Email: tatyana.barron@uwo.ca
• Dr. Rukmini Dey (International Center for Theoretical Sciences, Tata Institute of Fundamental Research, Bangalore, India)
  Email: rukmini@icts.res.in 

ISQGD Special Session #5 - Functional Analysis and Operator Theory (April 11–12, 2026)

Date: April 11–12, 2026 (Saturday–Sunday)
Format: Online via Zoom

Zoom Meeting Link: 🔗 Join the Meeting (Zoom)
Meeting ID: 882 8369 3708

Registration Fee: None

Voluntary Support: There is no registration fee; however, any form of voluntary support, including donations, is greatly appreciated and helps sustain ISQGD’s academic activities.

Deadline for Abstract Submission: March 11, 2026.

Event Registration, Title and Abstract Submission:
🔗 Register & Submit Title/Abstract

Time (Multiple Time Zones)
Saturday (April 11, 2026)
GMT (UTC): 2:00 PM – 5:00 PM, 7:00 PM – 10:00 PM
UK (BST): 3:00 PM – 6:00 PM, 8:00 PM – 11:00 PM
Germany (CEST): 4:00 PM – 7:00 PM, 9:00 PM – 12:00 AM (Sunday, April 5)
Japan (JST): 11:00 PM – 2:00 AM (Sunday, April 5), 4:00 AM – 7:00 AM (Sunday, April 5)
China (CST): 10:00 PM – 1:00 AM (Sunday, April 5), 3:00 AM – 6:00 AM (Sunday, April 5)
India (IST): 7:30 PM – 10:30 PM, 12:30 AM – 3:30 AM (Sunday, April 5)
Canada (Pacific Time – PDT): 7:00 AM – 10:00 AM, 12:00 PM – 3:00 PM
Canada (Eastern Time – EDT): 10:00 AM – 1:00 PM, 3:00 PM – 6:00 PM
USA (Eastern – EDT): 10:00 AM – 1:00 PM, 3:00 PM – 6:00 PM
USA (Central – CDT): 9:00 AM – 12:00 PM, 2:00 PM – 5:00 PM
USA (Western – PDT): 7:00 AM – 10:00 AM, 12:00 PM – 3:00 PM
Sunday (April 12, 2026)
GMT (UTC): 2:00 PM – 5:00 PM
UK (BST): 3:00 PM – 6:00 PM
Germany (CEST): 4:00 PM – 7:00 PM
Japan (JST): 11:00 PM – 2:00 AM (Monday, April 6)
China (CST): 10:00 PM – 1:00 AM (Monday, April 6)
India (IST): 7:30 PM – 10:30 PM
Canada (Pacific Time – PDT): 7:00 AM – 10:00 AM
Canada (Eastern Time – EDT): 10:00 AM – 1:00 PM
USA (Eastern – EDT): 10:00 AM – 1:00 PM
USA (Central – CDT): 9:00 AM – 12:00 PM
USA (Western – PDT): 7:00 AM – 10:00 AM
Note: Time zones are listed for convenience; please adjust if daylight saving time applies in your region.

Duration of Talk: Each presentation will be no more than 30 minutes, including time for questions and discussion.

Organizers:
• Dr. Christoph Fischbacher (Baylor University, USA)
  Email: c_fischbacher@baylor.edu
• Dr. Jonathan Stanfill (The Ohio State University, Columbus, OH, USA)
  Email: stanfill.13@osu.edu

ISQGD Special Session #6 - Topology and Geometry (May 2–3, 2026)

Date: May 2–3, 2026 (Saturday–Sunday)
Format: Online via Zoom

Zoom Meeting Link: 🔗 Join the Meeting (Zoom)
Meeting ID: 882 8369 3708

Registration Fee: None

Voluntary Support: There is no registration fee; however, any form of voluntary support, including donations, is greatly appreciated and helps sustain ISQGD’s academic activities.

Deadline for Abstract Submission: April 2, 2026

Event Registration, Title and Abstract Submission:
🔗 Register & Submit Title/Abstract

Time (Multiple Time Zones)
Saturday (May 02, 2026)
USA (Central – CDT): 9:00 AM – 12:00 PM, 2:00 PM – 5:00 PM
USA (Eastern – EDT): 10:00 AM – 1:00 PM, 3:00 PM – 6:00 PM
USA (Pacific – PDT): 7:00 AM – 10:00 AM, 12:00 PM – 3:00 PM
Canada (Eastern – EDT): 10:00 AM – 1:00 PM, 3:00 PM – 6:00 PM
Canada (Pacific – PDT): 7:00 AM – 10:00 AM, 12:00 PM – 3:00 PM
GMT (UTC): 2:00 PM – 5:00 PM, 7:00 PM – 10:00 PM
UK (BST): 3:00 PM – 6:00 PM, 8:00 PM – 11:00 PM
Germany (CEST): 4:00 PM – 7:00 PM, 9:00 PM – 12:00 AM (Sunday, May 03)
India (IST): 7:30 PM – 10:30 PM, 12:30 AM – 3:30 AM (Sunday, May 03)
China (CST): 10:00 PM – 1:00 AM (Sunday, May 03), 3:00 AM – 6:00 AM (Sunday, May 03)
Japan (JST): 11:00 PM – 2:00 AM (Sunday, May 03), 4:00 AM – 7:00 AM (Sunday, May 03)
Sunday (May 03, 2026)
USA (Central – CDT): 9:00 AM – 12:00 PM
USA (Eastern – EDT): 10:00 AM – 1:00 PM
USA (Pacific – PDT): 7:00 AM – 10:00 AM
Canada (Eastern – EDT): 10:00 AM – 1:00 PM
Canada (Pacific – PDT): 7:00 AM – 10:00 AM
GMT (UTC): 2:00 PM – 5:00 PM
UK (BST): 3:00 PM – 6:00 PM
Germany (CEST): 4:00 PM – 7:00 PM
India (IST): 7:30 PM – 10:30 PM
China (CST): 10:00 PM – 1:00 AM (Monday, May 04)
Japan (JST): 11:00 PM – 2:00 AM (Monday, May 04)
Note: Times are listed for convenience and reflect daylight saving time where applicable (CDT/EDT/PDT, BST, CEST).

Duration of Talk: Each presentation will be no more than 30 minutes, including time for questions and discussion.

Organizers:
Organizers:
• Dr. Azer Akhmedov (North Dakota State University, USA)
  Email: azer.akhmedov@ndsu.edu
• Dr. Mrinal Kanti Roychowdhury (University of Texas Rio Grande Valley, USA)
  Email: mrinal.roychowdhury@utrgv.edu

ISQGD Special Session #7 - Fixed Point Theory and Applications (May 9–10, 2026)

Date: May 9–10, 2026 (Saturday–Sunday)
Format: Online via Zoom

Zoom Meeting Link: 🔗 Join the Meeting (Zoom)
Meeting ID: 882 8369 3708

Registration Fee: None

Voluntary Support: There is no registration fee; however, any form of voluntary support, including donations, is greatly appreciated and helps sustain ISQGD’s academic activities.

Deadline for Abstract Submission: April 9, 2026

Event Registration, Title and Abstract Submission:
🔗 Register & Submit Title/Abstract

Time (Multiple Time Zones)
Saturday (May 09, 2026)
USA (Eastern – EDT): 9:00 AM – 12:00 PM, 2:00 PM – 3:00 PM
USA (Central – CDT): 8:00 AM – 11:00 AM, 1:00 PM – 2:00 PM
USA (Western – PDT): 6:00 AM – 9:00 AM, 11:00 AM – 12:00 PM
Canada (Eastern – EDT): 10:00 AM – 1:00 PM, 3:00 PM – 6:00 PM
Canada (Pacific – PDT): 7:00 AM – 10:00 AM, 12:00 PM – 3:00 PM
GMT (UTC): 2:00 PM – 5:00 PM, 7:00 PM – 10:00 PM
UK (BST): 3:00 PM – 6:00 PM, 8:00 PM – 11:00 PM
Germany (CEST): 4:00 PM – 7:00 PM, 9:00 PM – 12:00 AM (Sunday, May 10)
India (IST): 7:30 PM – 10:30 PM, 12:30 AM – 3:30 AM (Sunday, May 10)
China (CST): 10:00 PM – 1:00 AM (Sunday, May 10), 3:00 AM – 6:00 AM (Sunday, May 10)
Japan (JST): 11:00 PM – 2:00 AM (Sunday, May 10), 4:00 AM – 7:00 AM (Sunday, May 10)
Sunday (May 10, 2026)
USA (Eastern – EDT): 9:00 AM – 12:00 PM
USA (Central – CDT): 8:00 AM – 11:00 AM
USA (Western – PDT): 6:00 AM – 9:00 AM
Canada (Eastern – EDT): 10:00 AM – 1:00 PM
Canada (Pacific – PDT): 7:00 AM – 10:00 AM
GMT (UTC): 2:00 PM – 5:00 PM
UK (BST): 3:00 PM – 6:00 PM
Germany (CEST): 4:00 PM – 7:00 PM
India (IST): 7:30 PM – 10:30 PM
China (CST): 10:00 PM – 1:00 AM (Monday, May 11)
Japan (JST): 11:00 PM – 2:00 AM (Monday, May 11)
Note: Time zones are listed for convenience; please adjust if daylight saving time applies in your region.

Duration of Talk: Each presentation will be no more than 30 minutes, including time for questions and discussion.

Organizers:
• Dr. Meaza Bogale (Hampton University, USA)
  Email: meaza.bogale@hamptonu.edu
• Dr. Alemayehu Negash (Hampton University, USA)
  Email: alemayehu.negash@hamptonu.edu

ISQGD Special Session #8 - Dynamical Systems (May 23–24, 2026)

Date: May 23–24, 2026 (Saturday–Sunday)
Format: Online via Zoom

Zoom Meeting Link: 🔗 Join the Meeting (Zoom)
Meeting ID: 882 8369 3708

Registration Fee: None

Voluntary Support: There is no registration fee; however, any form of voluntary support, including donations, is greatly appreciated and helps sustain ISQGD’s academic activities.

Deadline for Abstract Submission: April 23, 2026

Event Registration, Title and Abstract Submission:
🔗 Register & Submit Title/Abstract

Time (Multiple Time Zones)
Saturday (May 23, 2026)
USA/Canada (Central – CDT): 9:00 AM – 12:00 PM, 2:00 PM – 5:00 PM
USA/Canada (Eastern – EDT): 10:00 AM – 1:00 PM, 3:00 PM – 6:00 PM
USA/Canada (Pacific – PDT): 7:00 AM – 10:00 AM, 12:00 PM – 3:00 PM
GMT (UTC): 2:00 PM – 5:00 PM, 7:00 PM – 10:00 PM
UK (BST): 3:00 PM – 6:00 PM, 8:00 PM – 11:00 PM
Germany (CEST): 4:00 PM – 7:00 PM, 9:00 PM – 12:00 AM (Sunday, May 24)
India (IST): 7:30 PM – 10:30 PM, 12:30 AM – 3:30 AM (Sunday, May 24)
China (CST): 10:00 PM – 1:00 AM (Sunday, May 24), 3:00 AM – 6:00 AM (Sunday, May 24)
Japan (JST): 11:00 PM – 2:00 AM (Sunday, May 24), 4:00 AM – 7:00 AM (Sunday, May 24)
Sunday (May 24, 2026)
USA/Canada (Central – CDT): 9:00 AM – 12:00 PM
USA/Canada (Eastern – EDT): 10:00 AM – 1:00 PM
USA/Canada (Pacific – PDT): 7:00 AM – 10:00 AM
GMT (UTC): 2:00 PM – 5:00 PM
UK (BST): 3:00 PM – 6:00 PM
Germany (CEST): 4:00 PM – 7:00 PM
India (IST): 7:30 PM – 10:30 PM
China (CST): 10:00 PM – 1:00 AM (Monday, May 25)
Japan (JST): 11:00 PM – 2:00 AM (Monday, May 25)
Note: Times above assume daylight saving time is in effect (EDT/CDT/PDT, BST, CEST).

Duration of Talk: Each presentation will be no more than 30 minutes, including time for questions and discussion.

Organizers:
• Dr. Mrinal Kanti Roychowdhury (University of Texas Rio Grande Valley, USA)
  Email: mrinal.roychowdhury@utrgv.edu
• Dr. Barbara A Shipman (University of Texas at Arlington, USA)
  Email: bshipman@uta.edu

ISQGD Special Session #9 - Fractal Geometry and Nonlinear Dynamics (May 23–24, 2026)

Date: May 23–24, 2026 (Saturday–Sunday)
Format: Online via Zoom

Zoom Meeting Link: 🔗 Join the Meeting (Zoom)
Meeting ID: 882 8369 3708

Speaker (Talk) Registration Fee:

There is no registration fee for audience participants. The following fee applies only to speakers presenting a talk.

  • PhD Student Speakers: USD 10
  • Faculty / Researcher Speakers: USD 25

Fee waivers or reductions are available for speakers from under-resourced regions or in special circumstances. Please contact the organizers if needed.

Speaker registration fees are used exclusively to support ISQGD’s academic activities, including seminar organization, technical infrastructure, website maintenance, student support initiatives, and the long-term sustainability of the platform.

Deadline for Abstract Submission: April 23, 2026

Event Registration, Title and Abstract Submission:
🔗 Register & Submit Title/Abstract

Time (Multiple Time Zones)
Saturday (May 23, 2026)
China (CST, UTC+8): 9:00 AM – 12:00 PM, 2:00 PM – 5:00 PM
Japan (JST): 10:00 AM – 1:00 PM, 3:00 PM – 6:00 PM
India (IST): 6:30 AM – 9:30 AM, 11:30 AM – 2:30 PM
Germany (CEST): 3:00 AM – 6:00 AM, 8:00 AM – 11:00 AM
UK (BST): 2:00 AM – 5:00 AM, 7:00 AM – 10:00 AM
GMT (UTC): 1:00 AM – 4:00 AM, 6:00 AM – 9:00 AM
USA/Canada (Eastern – EDT): 9:00 PM – 12:00 AM (Fri, May 22 → Sat, May 23), 2:00 AM – 5:00 AM
USA/Canada (Central – CDT): 8:00 PM – 11:00 PM (Fri, May 22), 1:00 AM – 4:00 AM
USA/Canada (Pacific – PDT): 6:00 PM – 9:00 PM (Fri, May 22), 11:00 PM – 2:00 AM (Fri, May 22 → Sat, May 23)
Sunday (May 24, 2026)
China (CST, UTC+8): 9:00 AM – 12:00 PM
Japan (JST): 10:00 AM – 1:00 PM
India (IST): 6:30 AM – 9:30 AM
Germany (CEST): 3:00 AM – 6:00 AM
UK (BST): 2:00 AM – 5:00 AM
GMT (UTC): 1:00 AM – 4:00 AM
USA/Canada (Eastern – EDT): 9:00 PM – 12:00 AM (Sat, May 23 → Sun, May 24)
USA/Canada (Central – CDT): 8:00 PM – 11:00 PM (Sat, May 23)
USA/Canada (Pacific – PDT): 6:00 PM – 9:00 PM (Sat, May 23)
Note: Times above assume daylight saving time is in effect where applicable (EDT/CDT/PDT, BST, CEST).

Duration of Talk: Each presentation will be no more than 30 minutes, including time for questions and discussion.

Organizers:
• Dr. Priyanka T.M.C. (Guizhou University, China)
  Email: priyankamohan195@gmail.com
• Dr. Mrinal Kanti Roychowdhury (University of Texas Rio Grande Valley, Texas, USA)
  Email: mrinal.roychowdhury@utrgv.edu

ISQGD Special Session #10 - Optimization and Data Analytics (May 30–31, 2026)

Date: May 30–31, 2026 (Saturday–Sunday)
Format: Online via Zoom

Zoom Meeting Link: 🔗 Join the Meeting (Zoom)
Meeting ID: 882 8369 3708

Speaker (Talk) Registration Fee:

There is no registration fee for audience participants. The following fee applies only to speakers presenting a talk.

  • PhD Student Speakers: USD 10
  • Faculty / Researcher Speakers: USD 25

Fee waivers or reductions are available for speakers from under-resourced regions or in special circumstances. Please contact the organizers if needed.

Speaker registration fees are used exclusively to support ISQGD’s academic activities, including seminar organization, technical infrastructure, website maintenance, student support initiatives, and the long-term sustainability of the platform.

Deadline for Abstract Submission: April 30, 2026

Event Registration, Title and Abstract Submission:
🔗 Register & Submit Title/Abstract

Time (Multiple Time Zones)
Saturday (May 23, 2026)
USA/Canada (Central – CDT): 9:00 AM – 12:00 PM, 2:00 PM – 5:00 PM
USA/Canada (Eastern – EDT): 10:00 AM – 1:00 PM, 3:00 PM – 6:00 PM
USA/Canada (Pacific – PDT): 7:00 AM – 10:00 AM, 12:00 PM – 3:00 PM
GMT (UTC): 2:00 PM – 5:00 PM, 7:00 PM – 10:00 PM
UK (BST): 3:00 PM – 6:00 PM, 8:00 PM – 11:00 PM
Germany (CEST): 4:00 PM – 7:00 PM, 9:00 PM – 12:00 AM
India (IST): 7:30 PM – 10:30 PM, 12:30 AM – 3:30 AM (Sun, May 24)
China (CST, UTC+8): 10:00 PM – 1:00 AM (Sun, May 24), 3:00 AM – 6:00 AM (Sun, May 24)
Japan (JST): 11:00 PM – 2:00 AM (Sun, May 24), 4:00 AM – 7:00 AM (Sun, May 24)
Sunday (May 24, 2026)
USA/Canada (Central – CDT): 9:00 AM – 12:00 PM
USA/Canada (Eastern – EDT): 10:00 AM – 1:00 PM
USA/Canada (Pacific – PDT): 7:00 AM – 10:00 AM
GMT (UTC): 2:00 PM – 5:00 PM
UK (BST): 3:00 PM – 6:00 PM
Germany (CEST): 4:00 PM – 7:00 PM
India (IST): 7:30 PM – 10:30 PM
China (CST, UTC+8): 10:00 PM – 1:00 AM (Mon, May 25)
Japan (JST): 11:00 PM – 2:00 AM (Mon, May 25)
Note: Times above assume daylight saving time is in effect where applicable (EDT/CDT/PDT, BST, CEST).

Duration of Talk: Each presentation will be no more than 30 minutes, including time for questions and discussion.

Organizers:

ISQGD Special Session #11 - Machine Learning and Data Analysis (June 6–7, 2026)

Date: June 6–7, 2026 (Saturday–Sunday)
Format: Online via Zoom

Zoom Meeting Link: 🔗 Join the Meeting (Zoom)
Meeting ID: 882 8369 3708

Speaker (Talk) Registration Fee:

There is no registration fee for audience participants. The following fee applies only to speakers presenting a talk.

  • PhD Student Speakers: USD 10
  • Faculty / Researcher Speakers: USD 25

Fee waivers or reductions are available for speakers from under-resourced regions or in special circumstances. Please contact the organizers if needed.

Speaker registration fees are used exclusively to support ISQGD’s academic activities, including seminar organization, technical infrastructure, website maintenance, student support initiatives, and the long-term sustainability of the platform.

Deadline for Abstract Submission: May 6, 2026

Event Registration, Title and Abstract Submission:
🔗 Register & Submit Title/Abstract

Time (Multiple Time Zones)
Saturday (June 6, 2026)
China (CST, UTC+8): 9:00 AM – 12:00 PM, 2:00 PM – 5:00 PM
Japan (JST): 10:00 AM – 1:00 PM, 3:00 PM – 6:00 PM
India (IST): 6:30 AM – 9:30 AM, 11:30 AM – 2:30 PM
Germany (CEST): 3:00 AM – 6:00 AM, 8:00 AM – 11:00 AM
UK (BST): 2:00 AM – 5:00 AM, 7:00 AM – 10:00 AM
GMT (UTC): 1:00 AM – 4:00 AM, 6:00 AM – 9:00 AM
USA/Canada (Eastern – EDT): 9:00 PM – 12:00 AM (Fri, June 5 → Sat, June 6), 2:00 AM – 5:00 AM
USA/Canada (Central – CDT): 8:00 PM – 11:00 PM (Fri, June 5), 1:00 AM – 4:00 AM
USA/Canada (Pacific – PDT): 6:00 PM – 9:00 PM (Fri, June 5), 11:00 PM – 2:00 AM (Fri, June 5 → Sat, June 6)
Sunday (June 7, 2026)
China (CST, UTC+8): 9:00 AM – 12:00 PM
Japan (JST): 10:00 AM – 1:00 PM
India (IST): 6:30 AM – 9:30 AM
Germany (CEST): 3:00 AM – 6:00 AM
UK (BST): 2:00 AM – 5:00 AM
GMT (UTC): 1:00 AM – 4:00 AM
USA/Canada (Eastern – EDT): 9:00 PM – 12:00 AM (Sat, June 6 → Sun, June 7)
USA/Canada (Central – CDT): 8:00 PM – 11:00 PM (Sat, June 6)
USA/Canada (Pacific – PDT): 6:00 PM – 9:00 PM (Sat, June 6)
Note: Times above assume daylight saving time is in effect where applicable (EDT/CDT/PDT, BST, CEST).

Duration of Talk: Each presentation will be no more than 30 minutes, including time for questions and discussion.

Organizers:

ISQGD Workshops

ISQGD Workshops are intensive research meetings designed to promote collaboration, discussion of open problems, and cross-fertilization of ideas among experts, postdoctoral researchers, and graduate students.

ISQGD Workshop #1 - Fractal Geometry (February 28, 2026)

Date: February 28, 2026 (Saturday)
Format: Online via Zoom

Zoom Meeting Link: TBA
Meeting ID: TBA

Registration Fee: None

Voluntary Support: There is no registration fee; however, any form of voluntary support, including donations, is greatly appreciated and helps sustain ISQGD’s academic activities.

Event Registration, Title and Abstract Submission:
🔗 Register & Submit Title/Abstract

Organizers:
• Dr. William O'Regan (University of British Columbia)
  Email: woregan@math.ubc.ca
• Dr. Zhiqiang Wang (University of British Columbia)
  Email: zqwang@math.ubc.ca

Speakers & Schedule: Click here to view the full schedule

ISQGD Mini-Courses

ISQGD Mini-Courses offer structured lecture series aimed at graduate students, early-career researchers, and newcomers to the field, providing accessible introductions to core concepts and emerging topics.

ISQGD Archive (Past Events & Activities)

The ISQGD Archive serves as the permanent scholarly record of lectures, special sessions, workshops, mini-courses and academic activities organized or sponsored by the ISQGD. Each archived program documents both the academic content and, when available, the corresponding media materials.

ISQGD YouTube Channel

Visit the ISQGD YouTube Channel: https://www.youtube.com/@ISQGD-c3q. The ISQGD YouTube Channel is the official media archive of ISQGD. It hosts recordings of ISQGD lectures, workshops, special sessions, and mini-courses, providing global access to high-level research talks in ISQGD-related fields.

Organizing Committee

Professor Mrinal Kanti Roychowdhury
School of Mathematics and Statistical Sciences, UTRGV, USA
✉ mrinal.roychowdhury@utrgv.edu
Chair and Convener
Professor William Ott
Department of Mathematics, University of Houston, USA
✉ william.ott.math@gmail.com
Co-Organizer
Professor Tatyana Barron
Department of Mathematics, University of Western Ontario, Canada
✉ tatyana.barron@uwo.ca
Co-Organizer
Dr. Megha Pandey
Northwest University, Xi’an, China
✉ meghapandey1071996@gmail.com
Co-Organizer

International Advisory Members

(Advisory & Governing Body of ISQGD)
Professor Palle Jorgensen (President, ISQGD)
Department of Mathematics, University of Iowa, USA
✉ palle-jorgensen@uiowa.edu
Professor Nandor Simanyi
Department of Mathematics, University of Alabama at Birmingham, USA
✉ simanyi@uab.edu
Professor Peter Massopust
Department of Mathematics, Technical University of Munich, Germany
✉ massopust@ma.tum.de
Professor Zhiming Li
Northwest University, Xi’an, Shaanxi Province, China
✉ china-lizhiming@163.com
Professor María A. Navascués
Department of Applied Mathematics, Universidad de Zaragoza, Spain
✉ manavas@unizar.es
Professor Lars Olsen
School of Mathematics and Statistics, University of St Andrews, UK
✉ lo@st-andrews.ac.uk
Professor John C. Mayer
Department of Mathematics, University of Alabama at Birmingham, USA
✉ jcmayer@uab.edu
Professor Christian Wolf
Department of Mathematics and Statistics,
Mississippi State University, USA
✉ CWolf@math.msstate.edu
Professor Balázs Bárány
Department of Stochastics, Institute of Mathematics,
Budapest University of Technology and Economics, Hungary
✉ balubs@math.bme.hu
Professor Pieter Allaart
Department of Mathematics, University of North Texas, USA
✉ pieter.allaart@unt.edu
Professor Kenneth Falconer
School of Mathematics and Statistics, University of St Andrews, UK
✉ kjf@st-andrews.ac.uk
Professor Cesar E. Silva
Department of Mathematics, Williams College, USA
✉ csilva@williams.edu
Professor Mariusz Urbański
Department of Mathematics, University of North Texas, USA
✉ urbanski@unt.edu
Professor Tanmoy Som
Department of Mathematical Sciences, Indian Institute of Technology (BHU), India
✉ tsom.apm@iitbhu.ac.in, t.som75@gmail.com

Support ISQGD

The International Seminar on Quantization, Geometry, and Dynamics (ISQGD) is a globally oriented academic platform dedicated to fostering high-level mathematical exchange, collaboration, and scholarly engagement across international research communities. ISQGD’s activities are professionally organized and designed to ensure academic quality, accessibility, and long-term sustainability.

Depending on the nature of the activity, ISQGD events may involve registration or participation fees, consistent with standard practices of international academic societies. In addition, selected materials—such as recordings, slides, or related resources—may be made available when appropriate to support broad scholarly dissemination.

Community support plays an important role in sustaining and expanding ISQGD’s activities. Contributions directly assist in organizing and strengthening:

  • Regular seminar lectures
  • Thematic workshops
  • Mini-courses
  • Special sessions
  • Conferences
  • Special lecture series and collaborative initiatives
  • Online resources, archives, and outreach activities
  • Student and early-career researcher engagement and participation opportunities

Current Funding Priority

ISQGD is currently expanding its global academic initiatives—such as upcoming workshops, mini-courses, special sessions, and large international events—which require stable and high-quality online infrastructure. A key priority at this stage is securing and maintaining a professional Zoom subscription.

This subscription is essential for:

  • Hosting large international audiences
  • Running multi-speaker and multi-session programs
  • Ensuring reliable, high-quality transmissions across countries and time zones

Strengthening this core infrastructure directly enhances ISQGD’s ability to serve the international mathematical community with excellence, professionalism, and consistency.

How to Support ISQGD

To make a contribution, please visit:

🔗 Support ISQGD

For Assistance or Institutional Support

For guidance regarding contributions or to explore opportunities for institutional, collaborative, or long-term support, please refer to the contact information provided on this page.

We are deeply grateful for all forms of support—financial, organizational, or advisory—that help ISQGD grow as a sustainable, professionally structured, and globally connected mathematical community.

Contact

For questions or participation inquiries, contact:
Dr. Mrinal Kanti Roychowdhury
Founding Chair, ISQGD
Professor of Mathematics, School of Mathematical and Statistical Sciences
The University of Texas Rio Grande Valley (UTRGV), Texas, USA
Email: mrinal.roychowdhury@utrgv.edu