ISQGD

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

Hosted by the School of Mathematics 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.

About ISQGD

The International Seminar on Quantization, Geometry, and Dynamics (ISQGD) is a global scholarly platform devoted to advancing research across a wide spectrum of interconnected mathematical disciplines. ISQGD brings together researchers working in quantization theory, fractal geometry, dynamical systems, ergodic theory, operator theory, geometric analysis, geometric measure theory, optimal transport, variational methods, geometric optimization, and several closely related areas.

The seminar aims to foster international collaboration, highlight emerging developments, and provide a sustained environment for scholarly exchange among mathematicians at all career stages. Talks are scheduled with attention to global time zones to enable broad participation, and recordings of most presentations are made available through the official ISQGD YouTube channel, offering a lasting resource for the research community.

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

Researchers interested in presenting their work are warmly welcome to contact any member of the organizing committee. In addition to regular seminar lectures, ISQGD also supports the organization of workshops, thematic programs, mini-courses, special sessions, and conferences, depending on community interest and available resources.

Research Areas Covered by 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. Dynamical Systems

    Uniformly, partially, and non-uniformly hyperbolic systems; symbolic dynamics, Markov partitions, and subshifts; thermodynamic formalism including pressure, equilibrium states, and Gibbs measures; invariant sets, attractors, limit sets, Lyapunov exponents, entropy, and stability theory; chaotic dynamics, mixing, and robustness; and random, parametric, and skew-product systems. The area also 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 IFS; and the thermodynamic and fractal properties of complex and random holomorphic dynamical systems.

  4. 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.

  5. Operator Theory

    Linear and nonlinear operators on Banach and Hilbert spaces; bounded, compact, and self-adjoint operators; spectral theory, eigenvalue distributions, and spectral measures; functional calculus, semigroups of operators, and generator theory; C*-algebras, von Neumann algebras, and operator-algebraic tools 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 and differential operators on manifolds and fractal sets; and applications to geometric analysis, harmonic analysis, complex dynamics, and mathematical physics.

  6. Harmonic and Functional Analysis on Fractals and Metric Spaces

    Fourier and wavelet analysis on fractals, graphs, and irregular metric spaces; frames, sampling theory, and multiresolution structures; spectral triples and noncommutative geometric tools; heat kernels, diffusion processes, and Laplace-type operators on fractal geometries; functional-analytic methods in thermodynamic formalism, transfer operators, and quantization; and connections with signal analysis, image processing, and harmonic analysis on networks and manifolds.

  7. 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, 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.

  8. 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.

  9. 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.

  10. 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 and geometric functionals; and connections with elliptic and geometric partial differential equations, optimal transport, and geometric optimization on curved and singular spaces.

  11. 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.

  12. 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.

  13. Computational Mathematics and Numerical Methods

    Numerical algorithms for optimal quantization, clustering, and geometric approximation; simulation of dynamical systems and fractal structures; numerical schemes for PDEs and variational problems on manifolds and metric spaces; high-performance computing for large-scale geometric and dynamical models; and discrete and computational approaches to spectral problems, energy minimization, and optimal transport.

  14. 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.

  15. Mathematical Physics and Discrete Energy Models

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

  16. 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.

  17. 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.

Objectives

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

  1. Promote meaningful global collaboration in quantization theory, fractal geometry, dynamical systems, ergodic theory, operator theory, geometric analysis, geometric measure theory, optimal transport, variational methods, geometric optimization, and closely related fields—highlighting the deep structural connections that emerge from interactions among these disciplines.
  2. Encourage broad and inclusive participation from mathematicians at all stages of their academic careers—established researchers, postdoctoral scholars, graduate students, and early-career mathematicians—thereby fostering a diverse, collaborative, and internationally engaged research community.
  3. Disseminate significant recent advances in quantization, geometry, dynamics, operator theory, optimization on Euclidean and non-Euclidean spaces, geometric analysis, geometric measure theory, and mathematical structures connected to complex systems and mathematical physics.
  4. Provide a sustained and vibrant forum for the exchange of ideas, the development of new collaborations, and the promotion of thematic workshops, mini-courses, conferences, special sessions, and joint publications within the global mathematical community.
  5. Support expository, foundational, and interdisciplinary work that strengthens conceptual links among quantization, operator theory, geometric analysis, dynamical and fractal structures, ergodic theory, optimal transport, and geometric optimization—thereby advancing understanding across these interconnected areas of modern mathematics.

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.

The organizing committee is dedicated to fostering an environment where researchers can share new ideas, explore emerging directions, and engage with colleagues working across a wide spectrum of interconnected fields. ISQGD strives to cultivate a seminar series that remains accessible, inclusive, and intellectually vibrant, 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 ISQGD’s aspiration that the seminar 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.

— 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.

Subscribe to 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 ISQGD research related areas. Our goal is to provide a globally visible, academically credible, and professionally supportive platform for sharing new ideas.

ISQGD hosts talks by both invited speakers and interested researchers who wish to propose a talk. Researchers who would like to give a presentation are warmly encouraged to contact any of the organizers to discuss available speaking opportunities.

Academic Credibility and Institutional Support

Academic credibility is essential for ensuring that speakers receive proper professional recognition for their contributions. ISQGD is formally hosted by the School of Mathematics and Statistical Sciences at The University of Texas Rio Grande Valley (UTRGV), USA, and is guided by an Advisory and Governing Body composed of eminent senior professors.

Professor Palle E. T. Jorgensen of the University of Iowa serves as the President of this body. This leadership framework guarantees the academic value, visibility, and long-term credibility of all ISQGD events.

Visibility and Scholarly Recognition

Speakers presenting at ISQGD receive meaningful professional visibility through:

  • Global participation and international audiences
  • Presentation within a formally hosted academic seminar series
  • Archiving of talks on the ISQGD YouTube channel
  • Inclusion in ISQGD event listings and the Past Talks Archive
  • Formal recognition on the ISQGD website

These mechanisms ensure that each talk contributes to a speaker’s scholarly record.

Recording and Archiving Policy

With the permission of the speaker, ISQGD talks are recorded and archived on:

  • The ISQGD YouTube channel
  • The ISQGD Past Talks Archive

This provides:

  • Long-term accessibility
  • Broad dissemination of the speaker’s ideas
  • A stable, citable, and publicly accessible resource

Speakers may request edits, removal, or selective privacy settings at any time, and ISQGD will make every reasonable effort to honor such requests.

Certificates (Optional)

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

Support for Speakers

ISQGD is committed to making the speaker experience smooth, professional, and rewarding. To this end, ISQGD provides:

  • A professional Zoom platform for all events
  • Technical assistance before and during the talk
  • Publicity through mailing lists, social media, and global academic networks
  • Coordination of scheduling, announcements, and communication with participants

The mission of ISQGD is to ensure that every presentation is professionally supported, impactful, and reaches a broad international audience.

Operating a high-quality seminar series—Zoom hosting, technical support, video archiving, publicity, and workshop coordination—incurs ongoing expenses. To cover these operational costs and to ensure that ISQGD continues to serve the global mathematical community at the highest level, ISQGD depends in part on the generosity of the speakers.

While donations are never required, they play a vital role in sustaining ISQGD’s activities and expanding its international reach. ISQGD warmly encourages speakers who are able to contribute to do so.

To make a donation, please click Support ISQGD .

Upcoming Talks & Announcements (Chronological Order)

A chronological record of speaker announcements for the International Seminar on Quantization, Geometry, and Dynamics (ISQGD) appears below. This list is updated on an ongoing basis as new talks are confirmed.

Professor Peter Massopust (Technical University of Munich, Germany)

Webpage: Visit Webpage

Title: Fractal Interpolation and Quaternions

Date & Time

  • GMT: Friday, December 12 — 3:00 PM
  • US Central Time (CST): Friday, December 12 — 9:00 AM
  • Speaker’s Local Time (Germany): Friday, December 12 — 4:00 PM

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

Abstract:
In recent years, quaternionic methodologies have found their way into many applications, one of which is digital signal processing. The main idea is to use the multidimensionality of the quaternions to model signals with multiple channels or images with multiple color values, and to use the underlying algebraic structure of quaternions to operate on these signals or images. The results of these algebraic or analytic operations again produce quaternions. This holistic approach cannot be performed in ℝⁿ, as these vector spaces do not possess an intrinsic algebraic structure.

On the other hand, the concept of fractal interpolation has been employed successfully in numerous applied settings over the last decades. The main purpose of fractal interpolation or approximation is to take into account complex geometric self-referential structures and to employ approximants that are well suited to model these types of structures. These approximants or interpolants are elements of vector spaces and cannot be operated on in an algebraic way so as to produce the same type of object. Hence, there is a natural need for an extension of fractal interpolation to the quaternionic setting.

This talk focuses on fractal interpolation in the quaternionic setting. Properties and main results are presented.

Professor Balázs Bárány (Budapest University of Technology and Economics, Hungary)

Webpage: Visit Webpage

Title: Exponential separation of analytic self-conformal sets on the real line

Date & Time

  • GMT: Friday, December 19 — 3:00 PM
  • US Central Time (CST): Friday, December 19 — 9:00 AM
  • Speaker’s Local Time (Budapest): Friday, December 19 — 4:00 PM

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

Abstract:
In a recent article, Rapaport showed that there is no dimension drop for exponentially separated analytic IFSs on the real line. We show that the set of exponentially separated IFSs in the space of analytic IFSs contains an open and dense set in the C2 topology. Moreover, we provide sufficient conditions for the IFS to be exponentially separated, thereby allowing us to construct explicit examples that are exponentially separated. The key technical tool is the introduction of the dual IFS, which we believe has significant interest in its own right. As an application, we also characterise when an analytic IFS can be conjugated to a self-similar IFS. This is a joint work with István Kolossváry and Sascha Troscheit.

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

Webpage: Visit Webpage

Title: To be announced.

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:
To be announced.

Professor Jonathan Fraser (University of St Andrews, UK)

Webpage: Visit Webpage

Title: To be announced.

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 — 4:00 PM

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

Abstract:
To be announced.

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

Webpage: Visit Webpage

Title: To be announced.

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:
To be announced.

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

Webpage: Visit Webpage

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)

Webpage: Visit Webpage

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)

Webpage: Visit Webpage

Title: To be announced.

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:
To be announced.

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

Webpage: Visit Webpage

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:

Webpage: Visit Webpage

Title: To be announced.

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:
To be announced.

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.

News and Events

This section provides official updates on ISQGD-related activities, including seminar announcements, organizational developments, workshops and global academic support initiatives, special issue and proceedings announcements, community news, and other relevant information. Additional details—including dates, times, and registration links—will be posted as they become available.

1) Seminar Announcements

Regular seminar 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.

ISQGD Special Session on "Use of Harmonic Analysis in Quantization, Geometry, and Dynamics" (March 7, 2026)

Meeting #1
Dates: March 7, 2026 (Saturday)
Format: Online via Zoom

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

Organizer: Palle Jorgensen (University of Iowa) and Mrinal Kanti Roychowdhury (University of Texas Rio Grande Valley)
Speakers:
Schedule: Click here to view the full schedule

Past Talks Archive

  1. December 5, 2025 — Palle E. T. Jorgensen (University of Iowa, USA), ISQGD Inaugural Lecture — Harmonic analysis, frames, and algorithms for fractal IFS L2 spaces via infinite products of projections — Watch Video

Organizing Committee

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

International Advisory Members
(Advisory & Governing Body of ISQGD)
Dr. Palle Jorgensen (President, ISQGD)
Department of Mathematics, University of Iowa, USA
✉ palle-jorgensen@uiowa.edu
Dr. Nandor Simanyi
Department of Mathematics, University of Alabama at Birmingham, USA
✉ simanyi@uab.edu
Dr. Peter Massopust
Department of Mathematics, Technical University of Munich, Germany
✉ massopust@ma.tum.edu
Dr. Zhiming Li
Northwest University, Xi’an, Shaanxi Province, China
✉ china-lizhiming@163.com
Dr. María A. Navascués
Department of Applied Mathematics, Universidad de Zaragoza, Spain
✉ manavas@unizar.es
Dr. Lars Olsen
School of Mathematics and Statistics, University of St Andrews, UK
✉ lo@st-andrews.ac.uk
Dr. John C. Mayer
Department of Mathematics, University of Alabama at Birmingham, USA
✉ jcmayer@uab.edu
Dr. Christian Wolf
Department of Mathematics and Statistics,
Mississippi State University, USA
✉ CWolf@math.msstate.edu
Dr. Balázs Bárány
Department of Stochastics, Institute of Mathematics, Budapest University of Technology and Economics, Hungary
✉ balubs@math.bme.hu
Dr. Pieter Allaart
Department of Mathematics, University of North Texas, USA
✉ pieter.allaart@unt.edu
Dr. Kenneth Falconer
School of Mathematics and Statistics, University of St Andrews, UK
✉ kjf@st-andrews.ac.uk
Dr. Cesar E. Silva
Department of Mathematics, Williams College, USA
✉ csilva@williams.edu
Dr. Mariusz Urbański
Department of Mathematics, University of North Texas, USA
✉ urbanski@unt.edu

Support ISQGD

The International Seminar on Quantization, Geometry, and Dynamics (ISQGD) is a free, community-driven initiative dedicated to fostering global mathematical exchange. All talks and activities are offered without registration fees, and, whenever possible, recordings, slides, and related materials are made freely available for the benefit of the international research community.

Your support plays a vital 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 engagement and participation opportunities

Important 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. To support these activities, ISQGD urgently requires 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

Supporting this critical infrastructure will directly enhance ISQGD’s ability to serve the international mathematical community with excellence and consistency.

How to Support ISQGD

To make a contribution, please visit:

🔗 https://www.utrgv.edu/institutional-advancement/

To ensure your donation is directed specifically to ISQGD, kindly write “ISQGD” in the Additional Comments section of the donation form.

For Assistance or Institutional Support

If you would like guidance on the donation process or wish to explore opportunities for institutional or collaborative support, please contact:

Dr. Mrinal Kanti Roychowdhury
School of Mathematical and Statistical Sciences
The University of Texas Rio Grande Valley (UTRGV)
Email: mrinal.roychowdhury@utrgv.edu

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

Contact

For questions or participation inquiries, contact:
Dr. Mrinal Kanti Roychowdhury
Email: mrinal.roychowdhury@utrgv.edu