Profile Photo
Mrinal Kanti Roychowdhury
Founding Chair, ISQGD
Professor of Mathematics
School of Mathematics and Statistical Sciences
The University of Texas Rio Grande Valley (UTRGV)
Email: mrinal.roychowdhury@utrgv.edu
“If someone finds a mistake in your work, take it as a blessing, not a setback. Every correction is an opportunity to improve and deepen understanding. Constructive criticism refines both the work and the worker.”
— M. K. Roychowdhury
“Intelligence alone is not enough; popularity, dedication, and sound judgment are equally important for leading an organization.”
— M. K. Roychowdhury

About

I am a Professor of Mathematics at the University of Texas Rio Grande Valley (UTRGV). My research interests lie in the theory and applications of quantization, fractal geometry, dynamical systems, and related areas of analysis and geometry.

I am the Founding Chair of the International Seminar on Quantization, Geometry, and Dynamics (ISQGD), an online platform dedicated to fostering collaboration and the exchange of ideas among researchers worldwide.

ISQGD

The International Seminar on Quantization, Geometry, and Dynamics (ISQGD) is an international research seminar established to promote scholarly exchange and collaboration in quantization theory, geometric analysis, dynamical systems, and adjacent fields. Through weekly lectures, specialized workshops, and thematic programs, ISQGD provides a rigorous platform for disseminating current research and fostering connections among mathematicians worldwide. The seminar operates with a strong commitment to accessibility and academic excellence, offering all events free of charge to the global mathematical community.

For details see ISQGD webpage.

YouTube Channel

I maintain a YouTube channel dedicated primarily to my research area of quantization. The channel features introductory explanations, conceptual discussions, and helpful insights for students and researchers who wish to learn the foundational ideas of quantization theory. In my leisure time, I also enjoy playing the violin, and the channel includes several recordings of my violin songs. For details, please visit my YouTube channel: https://www.youtube.com/@mrinalkantiroychowdhury92 .

Education

Ph.D. in Mathematics, Department of Mathematics, Wesleyan University, Middletown, CT 06459, USA, May 2005.
Dissertation Title: Finitary Orbit Equivalence
Ph.D. Advisor: Professor Michael S. Keane
Postdoctoral Supervisor: Professor Daniel J. Rudolph

M.Sc. in Mathematics (with specialization in Advanced Functional Analysis and Advanced Topology), Jadavpur University, Kolkata, India.

Research Interest

My research focuses on the theory and applications of quantization, particularly the study of how probability measures can be efficiently approximated by discrete distributions. This includes both unconstrained quantization—the classical framework in which the support of the approximating distribution is free to lie anywhere—and constrained quantization, where the supporting points are required to lie on a specified geometric set. My work also explores deep connections between quantization, fractal geometry, dynamical systems, ergodic theory, and geometric measure theory.

Constrained quantization, introduced by Roychowdhury jointly with one of his collaborators, provides a powerful extension of classical quantization by incorporating geometric or physical restrictions on where support points may lie. This refinement has led to a natural classification of quantization theory into two branches: constrained and unconstrained quantization. Constrained quantization has numerous real-world applications. In radiation therapy for cancer treatment, it can be used to determine optimal placements of radiation sources while avoiding sensitive regions. In national security, constrained quantization provides a mathematical framework for optimally locating missile stations targeting specific regions. Additional applications include designing communication networks by determining optimal tower locations to minimize signal distortion.

I have further introduced the concept of conditional quantization in both constrained and unconstrained settings jointly with the same collaborator. Conditional quantization models situations in which some support points are preassigned. For example, in radiation therapy, if a subset of radiation centers must remain fixed, the remaining centers can be optimally placed using conditional quantization. These developments significantly enrich quantization theory and extend its applicability across mathematics, engineering, medicine, and national security.

My broader research interests also include higher-dimensional and geometric quantization on spheres, curves, manifolds, and fractal sets, as well as the interplay between quantization phenomena and dynamical or ergodic properties of measures. For additional details, one may consult my preprints and publications.

Research Grant

Faculty Seed Research Grant, University of Texas Rio Grande Valley, Texas, USA, May 2022. Principal Investigator (PI).

U.S. National Security Agency (NSA), Grant #H98230-14-1-0320, Award Period: September 12, 2014 – September 11, 2016. Principal Investigator (PI).

Research Grant

  • Faculty Seed Research Grant, University of Texas Rio Grande Valley, Texas, USA, May 2022. Principal Investigator (PI).
  • U.S. National Security Agency (NSA), Grant #H98230-14-1-0320, Award Period: September 12, 2014 – September 11, 2016. Principal Investigator (PI).

Editorial Service

  • AMS Contemporary Mathematics, Recent Developments in Fractal Geometry and Dynamical Systems, edited by: Sangita Jha, Mrinal Kanti Roychowdhury, and Saurabh Verma, Volume 797 (2024), 257 pages. MSC: Primary 28, 35, 37. ISBN: 978-1-4704-7216-0.
  • Special Issue on Fractal Geometry, Dynamical Systems, and Their Applications, edited by: Michael Barnsley, James Keesling, and Mrinal Kanti Roychowdhury, published January 1, 2019 in Discrete & Continuous Dynamical Systems – S.

Publications

  1. A. Barua, A. Chavera, I. Djordjevic, V. Manzano, S.S. Quintero, M.K. Roychowdhury, and H. Tejeda, Quantization for the mixtures of overlap probability distributions, to appear, Houston Journal of Mathematics.
  2. A. Barua, G. Fernandez, A. Gomez, O. Lopez, and M.K. Roychowdhury, Quantization for the mixtures of uniform distributions on connected and disconnected line segments, to appear, Arabian Journal of Mathematics.
  3. E. Nyanney, M. Pandey, and M.K. Roychowdhury, Conditional optimal sets and the quantization coefficients for some uniform distributions, Mathematics 2025, 13(15), 2350; https://doi.org/10.3390/math13152350.
  4. R. Cabasag, S. Huq, E. Mendoza, and M.K. Roychowdhury, Optimal quantization for nonuniform discrete distributions, Contemporary Mathematics, AMS, 825 (2025).
  5. M. Pandey and M.K. Roychowdhury, Constrained quantization for probability distributions, to appear, Journal of Fractal Geometry.
  6. M. Pandey and M.K. Roychowdhury, Optimal quantization for a probability measure on a nonuniform stretched Sierpiński triangle, Discrete and Continuous Dynamical Systems - Series S, 2025, doi: 10.3934/dcdss.2025087.
  7. E. Gonzalez, M.K. Roychowdhury, D. Salinas, and V. Veeramachaneni, Conditional quantization for some discrete distributions, Mathematics 2025, 13(11), 1717; https://doi.org/10.3390/math13111717.
  8. C. Hamilton, E. Nyanney, M. Pandey, and M.K. Roychowdhury, Conditional constrained and unconstrained quantization for uniform distributions on regular polygons, Real Analysis Exchange, Vol 50(2), pp. 1-45.
  9. S. Dubey, M.K. Roychowdhury, and S. Verma, Quantization for a condensation system, Mathematics 2025, 13(9), 1424; https://doi.org/10.3390/math13091424.
  10. P. Biteng, M. Caguiat, T. Dominguez, and M.K. Roychowdhury, Conditional quantization for uniform distributions on line segments and regular polygons, Mathematics 2025, 13(7), 1024; https://doi.org/10.3390/math13071024.
  11. A. Priyadarshi, M.K. Roychowdhury and M. Verma, Quantization dimension for inhomogeneous bi-Lipschitz iterated function systems, Monatshefte für Mathematik, 207, 125-140 (2025), https://doi.org/10.1007/s00605-025-02063-4.
  12. A. Priyadarshi, M.K. Roychowdhury and M. Verma, Quantization dimensions for the bi-Lipschitz recurrent iterated function systems, Dynamical Systems, 2025, Vol 40, No. 1, 71-90.
  13. P. Biteng, M. Caguiat, D. Deb, M.K. Roychowdhury, and B. Villanueva, Constrained quantization for a uniform distribution, Houston Journal of Mathematics, Volume 50, Number 1, 2024, Pages 121–142.
  14. M. Pandey and M.K. Roychowdhury, Constrained quantization for the Cantor distribution, J. Fractal Geom. 11 (2024), no. 3/4, pp. 319-341.
  15. M.K. Roychowdhury, Optimal quantizers for a nonuniform distribution on a Sierpinski carpet, Springer Proceedings in Mathematics & Statistics, Applied Analysis, Optimization and Soft Computing, ICNAAO-2021, Varanasi, India, December 21–23, pp. 43-62, 2023.
  16. M.K. Roychowdhury, Optimal quantization for some triadic uniform Cantor distributions with exact bounds, Qualitative Theory of Dynamical Systems 21, Article 149 (2022).
  17. J. Rosenblatt and M.K. Roychowdhury, Uniform distributions on curves and quantization, Commun. Korean Math. Soc. 38 (2023), No. 2, pp. 431–450.
  18. D. Comez and M.K. Roychowdhury, Canonical sequences of optimal quantization for condensation measures, Qualitative Theory of Dynamical Systems, 21, Article 79 (2022).
  19. D. Comez and M.K. Roychowdhury, Quantization for infinite affine transformations, Fractal and Fractional 2022, 6(5), 239. https://doi.org/10.3390/fractalfract6050239.
  20. L. Roychowdhury and M.K. Roychowdhury, Quantization for a probability distribution generated by an infinite iterated function system, Commun. Korean Math. Soc. 37 (2022), No. 3, pp. 765–800.
  21. J. Hansen, I. Marquez, M.K. Roychowdhury, and E. Torres, Quantization coefficients for uniform distributions on the boundaries of regular polygons, Statistics & Probability Letters, Volume 173, June 2021, 109060.
  22. M.K. Roychowdhury, Optimal quantization for mixed distributions, Real Anal. Exchange 46(2): 451-484 (2021).
  23. G. Pena, H. Rodrigo, M.K. Roychowdhury, J. Sifuentes, and E. Suazo, Quantization for uniform distributions on hexagonal, semicircular, and elliptical curves, Journal of Optimization Theory and Applications (2021), 188: 113-142.
  24. M.K. Roychowdhury and B. Selmi, Local dimensions and quantization dimensions in dynamical systems, The Journal of Geometric Analysis, 31, 6387–6409 (2021).
  25. C.P. Dettmann and M.K. Roychowdhury, An algorithm to compute CVTs for finitely generated Cantor distributions, Southeast Asian Bulletin of Mathematics (2021) 45:173–188.
  26. S. Chakraborty, M.K. Roychowdhury, and J. Sifuentes, High precision numerical computation of principal points for univariate distributions, Sankhya B 83, 558–584 (2021).
  27. M.K. Roychowdhury, Topological pressure and fractal dimensions of cookie-cutter-like sets, Southeast Asian Bulletin of Mathematics, 44(5), 719–732 (2020).
  28. M.K. Roychowdhury and W. Salinas, Quantization for a mixture of uniform distributions associated with probability vectors, Uniform Distribution Theory 15 (2020), no. 1, 105–142.
  29. J. Rosenblatt and M.K. Roychowdhury, Optimal quantization via dynamics, Dynamical Systems, 35(3), 522–538 (2020).
  30. J. Rosenblatt and M.K. Roychowdhury, Geometric and Measure-Theoretic Shrinking Targets in Dynamical Systems, J. Math. Anal. Appl. 485(1), 123–769 (2020).
  31. D. Comez and M.K. Roychowdhury, Quantization for uniform distributions of Cantor dusts on $\mathbb{R}^2$, Topology Proceedings, Volume 56 (2020), Pages 195-218.
  32. M.K. Roychowdhury, The quantization of the standard triadic Cantor distribution, Houston Journal of Mathematics, Volume 46, Number 2, 2020, Pages 389-407.
  33. M.K. Roychowdhury, Center of mass and the optimal quantizers for some continuous and discrete uniform distributions, Journal of Interdisciplinary Mathematics, Vol. 22 (2019), No. 4, pp. 451-471.
  34. D. Comez and M.K. Roychowdhury, Quantization for uniform distributions on stretched Sierpinski triangles, Monatshefte für Mathematik, Volume 190, Issue 1 (2019), 79-100.
  35. M.K. Roychowdhury, Optimal quantization for the Cantor distribution generated by infinite similitudes, Israel Journal of Mathematics 231 (2019), 437-466.
  36. M.K. Roychowdhury, Least upper bound of the exact formula for optimal quantization of some uniform Cantor distributions, Discrete and Continuous Dynamical Systems – Series A, Volume 38, Number 9, 2018, pp. 4555-4570.
  37. J. Rosenblatt and M.K. Roychowdhury, Optimal quantization for piecewise uniform distributions, Uniform Distribution Theory 13 (2018), no. 2, 23-55.
  38. M.K. Roychowdhury, Optimal quantizers for some absolutely continuous probability measures, Real Analysis Exchange, Vol. 43(1), 2017, pp. 105-136.
  39. M.K. Roychowdhury, Quantization and centroidal Voronoi tessellations for probability measures on dyadic Cantor sets, Journal of Fractal Geometry, 4 (2017), 127-146.
  40. C.P. Dettmann and M.K. Roychowdhury, Quantization for uniform distributions on equilateral triangles, Real Analysis Exchange, Vol. 42(1), 2017, pp. 149-166.
  41. E. Mihailescu and M.K. Roychowdhury, Quantization coefficients in infinite systems, Kyoto Journal of Mathematics, Vol. 55, No. 4 (2015), 857-873.
  42. M.K. Roychowdhury and N. Snigireva, Asymptotic of the geometric mean error in the quantization of recurrent self-similar measures, Journal of Mathematical Analysis and Applications, Vol. 431 (2015), 737-751.
  43. M.K. Roychowdhury, Hausdorff and upper box dimension estimate of hyperbolic recurrent sets, Israel Journal of Mathematics, 201 (2014), 507–523.
  44. M.K. Roychowdhury, Quantization dimension estimate of probability measures on hyperbolic recurrent sets, Dynamical Systems, Vol. 29, No. 2 (2014), 225-238.
  45. M.K. Roychowdhury, Quantization coefficients for ergodic measures on infinite symbolic space, Discrete and Continuous Dynamical Systems – Series A, 34(7), 2829-2846 (2014).
  46. M.K. Roychowdhury, Quantization dimension for Gibbs-like measures on cookie-cutter sets, Kyoto Journal of Mathematics, 54(2) (2014), 239-257.
  47. M.K. Roychowdhury, Quantization dimension estimate for condensation systems of conformal mappings, Real Analysis Exchange, 38(2) (2013), 317-335.
  48. M.K. Roychowdhury, Quantization dimension estimate of inhomogeneous self-similar measures, Bulletin of the Polish Academy of Sciences Mathematics, 61(1) (2013), 35-45.
  49. M.K. Roychowdhury, Quantization dimension and temperature function for bi-Lipschitz mappings, Israel Journal of Mathematics, 192 (2012), 473-488.
  50. M.K. Roychowdhury, Quantization dimension for infinite self-similar probabilities, Journal of Mathematical Analysis and Applications, 383 (2011), 499-505.
  51. M.K. Roychowdhury, Quantization dimension and temperature function for recurrent self-similar measures, Chaos, Solitons & Fractals, 44 (2011), 947-953.
  52. M.K. Roychowdhury, Lower quantization coefficient and the F-conformal measure, Colloquium Mathematicum, 122 (2011), 255-263.
  53. M.K. Roychowdhury, Quantization dimension function and Gibbs measure associated with Moran set, Journal of Mathematical Analysis and Applications, 373 (2011), 73-82.
  54. R.K. Bose and M.K. Roychowdhury, Fixed point theorems for some generalized contractive multi-valued mappings and fuzzy mappings, Matematicki Vesnik, 63 (2011), no. 1, 7-26.
  55. M.K. Roychowdhury, Quantization dimension for some Moran measures, Proceedings of the American Mathematical Society, 138 (2010), 4045-4057.
  56. R.K. Bose and M.K. Roychowdhury, Fixed point theorems for multi-valued mappings and fuzzy mappings, International Journal of Pure and Applied Mathematics, 61(1) (2010), 53-72.
  57. M.K. Roychowdhury, Quantization dimension function and ergodic measure with bounded distortion, Bulletin of the Polish Academy of Sciences Mathematics, 57 (2009), 251-262.
  58. R.K. Bose and M.K. Roychowdhury, Fixed point theorems for generalized weakly contractive mappings, Surveys in Mathematics and its Applications, 4 (2009), 215-238.
  59. M.K. Roychowdhury and D.J. Rudolph, Any two irreducible Markov chains are finitarily orbit equivalent, Israel Journal of Mathematics, 174 (2009), 349–368.
  60. M.K. Roychowdhury and D.J. Rudolph, Nearly continuous Kakutani equivalence of adding machines, Journal of Modern Dynamics, 3(1) (2009), 103-119.
  61. M.K. Roychowdhury and D.J. Rudolph, Any two irreducible Markov chains of equal entropy are finitarily Kakutani equivalent, Israel Journal of Mathematics, 165(1) (2008), 29-41.
  62. T. Hamachi, M.S. Keane and M.K. Roychowdhury, Finitary orbit equivalence and measured Bratteli diagrams, Colloquium Mathematicum, 110(2) (2008), 363-382.
  63. M.K. Roychowdhury and D.J. Rudolph, The Morse minimal system is finitarily Kakutani equivalent to the binary odometer, Fundamenta Mathematicae, 198(2) (2008), 149-163.
  64. M.K. Roychowdhury, Irrational rotation of the circle and the binary odometer are finitarily orbit equivalent, Publications of the Research Institute for Mathematical Sciences, Kyoto University, 43(2) (2007), 385-402.
  65. M.K. Roychowdhury, $\{m_n\}$-odometer and the binary odometer are finitarily orbit equivalent, Contemporary Mathematics, AMS, 430 (2007), 123-134.

Preprints

  1. P. Singh, S.K. Katiyar, M.K. Roychowdhury, Optimal Quantization on Spherical Curves: Uniform Distributions on Arcs, Circles, and Equilateral Triangles, arXiv:
  2. M.K. Roychowdhury, Optimal Quantization of Finite Uniform Data on the Sphere, arXiv:
  3. M.K. Roychowdhury, Discrete Quantization on Spherical Geometries: Explicit Models, Computations, and Didactic Exposition, arXiv:
  4. M.K. Roychowdhury, Optimal Quantization on Spherical Surfaces: Continuous and Discrete Models — A Beginner-Friendly Expository Study, arXiv:2511.05099 [math.OC].
  5. P. Tamrakar, B. Bimpong, S.K. Katiyar, S. Pandit, M.K. Roychowdhury, Optimal Sets and Quantization Errors under Geometric Constraints for Discrete Distributions, arXiv:2507.07923 [math.PR].
  6. S. Dubey, M.K. Roychowdhury, S. Verma, Quantization Dimension for a Generalized Inhomogeneous Bi-Lipschitz Iterated Function System, arXiv:2503.11105 [math.DS].
  7. W. Ott, M.K. Roychowdhury, Conditional Constrained Quantization for the Cantor Distribution, arXiv: will be posted.
  8. M. Pandey, M.K. Roychowdhury, Constrained Quantization for the Cantor Distribution with a Family of Constraints, arXiv:2401.01958 [math.DS].
  9. M. Pandey, M.K. Roychowdhury, Conditional Constrained and Unconstrained Quantization for Probability Distributions, arXiv:2312.02965 [math.PR].
  10. P. Singh, S.K. Katiyar, M. Pandey, M.K. Roychowdhury, Constrained Quantization for Uniform Distributions with Two Constraint Families, arXiv:2309.11498 [math.PR].
  11. J. Gomez, H. Martinez, M.K. Roychowdhury, A. Salazar, D.J. Vallez, Quantization for a Set of Discrete Distributions on the Set of Natural Numbers, arXiv:2305.02372 [math.PR].
  12. M.K. Roychowdhury, K. Simon, Quantization Dimension for Self-Similar Measures of Overlapping Construction, arXiv:2208.11749 [math.DS].
  13. M.K. Roychowdhury, S. Verma, Quantization Dimension and Stability for Infinite Self-Similar Measures with Respect to Geometric Mean Error, arXiv:2008.05136 [math.DS].
  14. M.K. Roychowdhury, S. Verma, A Study on Quantization Dimension in Complete Metric Spaces, arXiv:2005.07840 [math.DS].
  15. J. Atnip, M.K. Roychowdhury, M. Urbanski, Quantization Dimension for Infinite Conformal Iterated Function Systems, arXiv:1811.00299 [math.DS].
  16. E. Mihailescu, M.K. Roychowdhury, A Class of Measures and Non-Stationary Fractals Associated to f-Expansions, arXiv:1308.5543 [math.DS].

Academic Award

  • Gold Medal – Awarded for achieving the highest examination score in B.Sc. (Mathematics Honors) in the Tripura University system, Tripura, India.

Professional Qualifications

  1. September 2020 – Present, Professor, School of Mathematical and Statistical Sciences, University of Texas Rio Grande Valley, Edinburg, TX 78539, USA.
  2. September 2015 – August 2020, Associate Professor, School of Mathematical and Statistical Sciences, University of Texas Rio Grande Valley, Edinburg, TX 78539, USA.
  3. September 2014 – August 2015, Associate Professor, Department of Mathematics, The University of Texas–Pan American, Edinburg, TX 78539, USA.
  4. June 01 – July 31, 2011, Visiting Scientist, School of Mathematics, Tata Institute of Fundamental Research (TIFR), Mumbai, India.
  5. September 2008 – August 2014, Assistant Professor, Department of Mathematics, The University of Texas–Pan American, Edinburg, TX 78539, USA.
  6. September 2007 – August 2008, Visiting Assistant Professor, Department of Mathematics, University of North Texas, Denton, TX, USA.
  7. August 2005 – August 2007, Postdoctoral Fellow, Department of Mathematics, Colorado State University, working in Ergodic Theory with Professor Daniel J. Rudolph, Fort Collins, CO, USA.
  8. June – July 2005, Mathematics Teacher, Wesleyan Upward Bound / ConnCAP, Wesleyan University, Middletown, CT, USA.
  9. September 2001 – May 2005, Graduate Teaching Assistant, Department of Mathematics, Wesleyan University, Middletown, CT, USA.
  10. February 1997 – August 2001, Assistant Teacher of Mathematics, Netaji Subhash Vidyaniketan (Higher Secondary School), Agartala, Tripura, India.

Student Supervision

Master's Students

  1. Hugo Edgar Olvera (Thesis, Spring 2014)
  2. Shankar Parajulee (Thesis, Fall 2018)
  3. Bryan K. Neal (Project, Fall 2018)
  4. Gabriela Pena (Project, Spring 2019)
  5. Wasiela Salinas (Project, Summer II 2019)
  6. Itzamar Marquez (Project, Summer II 2020)
  7. Eduardo Orozco (Thesis, Spring 2021)
  8. Iris Angeles (Project, Summer II 2021)
  9. Ogla Lopez (Project, Spring 2022)
  10. Gustavo Fernandez (Project, Summer I 2022)
  11. Asha Barua (Thesis, Summer II 2022)
  12. Sergio Soto Quintero (Project, Summer II 2022)
  13. Daniel J. Vallez (Project, Spring 2023)
  14. Beatriz Vela Villanueva (Project, Summer II 2023)
  15. Ramiro Leal Garcia (Project, Fall 2023)
  16. Tsianna Dominguez (Thesis, Spring 2024)
  17. Christina Hamilton (Thesis, Summer 2024)
  18. Dipok Deb (Thesis, Summer 2024)
  19. Evans Nyanney (Thesis, Summer 2024)

Senior Undergraduate Research Project Students

  1. Emilio Cortez (Fall 2012)
  2. Daisy Gonzalez (Fall 2012)
  3. Elia Valenzuela (Spring 2013)
  4. Hector Solis (Spring 2013)
  5. Ricardo Villescas (Spring 2013)
  6. Ana Hernandez (Spring 2013)
  7. Karen Leal (Fall 2013)
  8. Luis Trevino (Fall 2013)
  9. Eduardo Orozco (Fall 2017)
  10. Tsianna D. Dominguez (Spring 2019)
  11. Alicia Tinajero (Fall 2021)
  12. Ashley Gomez (Spring 2022)
  13. Jesus A. Flores (Fall 2022)
  14. Michael Vazquez (Fall 2022)
  15. Alexis Salazar (Spring 2023)
  16. Jose Vivian (Fall 2023)
  17. Ramiro Alvarado (Fall 2024)

MSA High School Student Research Projects
(UTRGV High Scholars Program)

  1. Satya Holla (Summer 2017)
  2. Rosendo Torres (Summer 2018)
  3. Alejandro Escobedo (Summer 2018)
  4. Youssef Galal (Summer 2019)
  5. Russel Cabasag (Spring & Summer 2020)
  6. Samir Huq (Spring & Summer 2020)
  7. Eric Mendoza (Spring & Summer 2020)
  8. Joel Hansen (Summer 2020)
  9. Mariam Daghestani (Summer 2021)
  10. Dylan Wu (Summer 2021)
  11. Angelina Chavera (Summer 2022)
  12. Ivan Djordjevic (Summer 2022)
  13. Haily Martinez (Fall 2022, Spring 2023)
  14. Juan Gomez (Spring 2023)
  15. Pigar Biteng (Summer–Fall 2023, Spring 2024)
  16. Mathieu Caguiat (Summer–Fall 2023, Spring 2024)
  17. Edgar Allan Gonzalez (Summer 2024)
  18. David Alexander Salinas (Summer 2024)
  19. Vishal Veeramachaneni (Summer 2024)

UTRGV Math Pathways Summer REU Students

  1. Valerie Manzano (Summer 2022)
  2. Hilda Tejeda (Summer 2022)

Conference/Symposium/Special Session Organized

  1. AMS Sectional Meeting#1210: Special Session on Fractal Geometry and Dynamical Systems (organizers: M.K. Roychowdhury and William Ott), AMS Fall Southeastern Sectional Meeting, Tulane University, New Orleans, LA, October 3-5, 2025 (Friday-Sunday).
  2. AMS Sectional Meeting#1198: Special Session on Dynamical Systems: Statistical Properties, Spectral Theory, and Fractal Geometry (organizers: M.K. Roychowdhury and William Ott), AMS Fall Central Sectional Meeting, University of Texas at San Antonio, San Antonio, September 14-15, 2024 (Saturday - Sunday).
  3. AMS Sectional Meeting#1198: Special Session on Machine Learning, Data Science and Related Fields (organizers: Hansapani Rodrigo, Lakshmi Roychowdhury, and M.K. Roychowdhury), AMS Fall Central Sectional Meeting, University of Texas at San Antonio, San Antonio, September 14-15, 2024 (Saturday - Sunday).
  4. AMS Sectional Meeting#1190: Special Session on Ergodic Theory and Dynamical Systems (organizers: Joanna Marie Furno and M.K. Roychowdhury), AMS Fall Southeastern Sectional Meeting, University of South Alabama, Mobile, AL, October 13-15, 2023 (Friday - Sunday).
  5. AIMS Special session on Fractal Geometry, Dynamical Systems, and Their Applications (organizers: Sangita Jha, M.K. Roychowdhury, and Saurabh Verma) at the 13th AIMS Conference on Dynamical Systems, Differential Equations and Applications, May 31-June 4, 2023, Wilmington, NC, USA.
  6. AMS Sectional Meeting#1185: Special Session on Fractal Geometry and Dynamical Systems (organizers: Sangita Jha, M.K. Roychowdhury, and Saurabh Verma), AMS Spring Eastern Sectional Meeting, meeting virtually, April 01-02, 2023 (Saturday - Sunday).
  7. AMS Sectional Meeting#1184: Special Session on Fractal Geometry and Dynamical Systems (organizers: Scott Kaschner and M.K. Roychowdhury), AMS Spring Southeastern Sectional Meeting, Georgia Institute of Technology, Atlanta, GA, March 18-19, 2023 (Saturday - Sunday).
  8. AMS Sectional Meeting#1178: Special Session on Fractal Geometry and Dynamical Systems (organizers: Sangita Jha, M.K. Roychowdhury, and Saurabh Verma), AMS Spring Western Sectional Meeting (formerly at University of Denver) now meeting virtually, May 14-15, 2022 (Saturday - Sunday).
  9. AMS Sectional Meeting#1172: Special Session on Fractal Geometry and Dynamical Systems (organizers: Sangita Jha, M.K. Roychowdhury, and Saurabh Verma), AMS Fall Western Sectional Meeting (formerly at University of New Mexico) now meeting virtually, Albuquerque, NM, October 23-24, 2021 (Saturday - Sunday).
  10. AMS Joint Mathematics Meetings#1163: Special session on Quantization on Probability Distributions and Dynamical Systems, January 06-09 (Wednesday-Saturday), 2021, happened virtually.
  11. AMS Joint Mathematics Meetings#1154: Special session on Quantization on Probability Distributions and Dynamical Systems, January 15-18 (Wednesday-Saturday), 2020, Denver, CO, USA.
  12. AMS Sectional Meeting#1152: Special session on Fractal Geometry and Dynamical Systems, November 2-3, 2019 (Saturday - Sunday), University of Florida, Gainesville, FL, USA.
  13. AMS Sectional Meeting#1138: Special session on Quantization for Probability Distributions and Dynamical Systems, April 14-15, 2018 (Saturday-Sunday), Vanderbilt University, Nashville, TN, USA.
  14. AMS Sectional Meeting#1133: Special session on Fractal Geometry, Dynamical Systems, and Their Applications, September 23-24, 2017 (Saturday-Sunday), University of Central Florida, Orlando, FL, USA.
  15. AMS Sectional Meeting#1131: Special session on Fractal Geometry and Ergodic Theory, September 09-10, 2017 (Saturday-Sunday), University of North Texas, Denton, TX, USA.
  16. AMS Joint Mathematics Meetings#1125: Special session on Ergodic Theory and Dynamical Systems (organizers: Tamara Kucherenko and M.K. Roychowdhury), January 04-07 (Wednesday-Saturday), 2017, Atlanta, USA.
  17. AIMS Special session on Fractal Geometry, Dynamical Systems, and Their Applications (organizers: M. Barnsley, J. Keesling and M.K. Roychowdhury) at the 11th AIMS Conference on Dynamical Systems, Differential Equations and Applications, Orlando, Florida, USA, July 1-5, 2016.
  18. Special session on Centroidal Voronoi Tessellations and Their Applications (organizers: M.K. Roychowdhury and Huayi Wei) at the SIAM Conference, Georgia State University, Georgia, USA, June 6-10, 2016.
  19. AMS Sectional Meeting#1120: Special session on Ergodic Theory and Dynamical Systems (organizers: Doğan Çömez and M. K. Roychowdhury), April 16-17, 2016 (Saturday-Sunday), North Dakota State University, Fargo, ND, USA.
  20. AMS Sectional Meeting#1113: Special session on Fractal Geometry and Dynamical Systems, October 17-18, 2015 (Saturday-Sunday), University of Memphis, Memphis, TN, USA.
  21. Special session on Dynamics of Time Series, Dynamical Systems and Quantization (organizers: M.K. Roychowdhury and Milan Stehlik) at 9th International Conference on Differential Equations and Dynamical Systems, May 14-16, 2015, Dallas, Texas, USA.
  22. AMS Sectional Meeting#1109: Special session on Fractal Geometry and Ergodic Theory, March 27-29 (Friday-Sunday), 2015, University of Alabama, Huntsville, USA.
  23. AMS Joint Mathematics Meetings#1106: Special session on Ergodic Theory and Dynamical Systems, January 10-13 (Saturday-Tuesday), 2015, San Antonio, USA.
  24. AMS Sectional Meeting#2000: Special session on Fractal Geometry and Dynamical Systems, April 11-13 (Friday-Sunday), 2014, Texas Tech University, Lubbock, Texas, USA.
  25. AMS Sectional Meeting#1097: Special session on Fractal Geometry and Ergodic Theory, March 21-23 (Friday-Sunday), 2014, University of Tennessee, Knoxville, Tennessee, USA.
  26. AMS Sectional Meeting#1087: Special session on Fractal Geometry and Ergodic Theory, March 1-3 (Friday-Sunday), 2013, University of Mississippi, Oxford, MS, USA.
  27. Symposium on Fractal Geometry, Quantization Dimension and Related Topics, within ICNAAM 2012, Kypriotis Hotels and Conference Center, Kos, Greece, 19-25 September, 2012.

Talks

  1. October 17-18, 2025, Twentieth Annual Texas Undergraduate Mathematics Conference, St. Mary's University, Texas, USA.
  2. October 3-5, 2025, AMS Fall Southeastern Sectional Meeting: Special Session on Fractal Geometry and Dynamical Systems, Tulane University, New Orleans, LA, USA.
  3. November 8-9, 2024, Nineteenth Annual Texas Undergraduate Mathematics Conference, The University of Texas at Tyler, Texas, USA.
  4. (Colloquium Talk) October 04, 2024, Department of Mathematics, The University of Alabama at Birmingham, Birmingham, Alabama, USA.
  5. September 14-15, 2024, AMS Fall Central Sectional Meeting: Special Session on Dynamical Systems: Statistical Properties, Spectral Theory, and Fractal Geometry, University of Texas at San Antonio, San Antonio, TX.
  6. September 14-15, 2024, AMS Fall Central Sectional Meeting: Special Session on Machine Learning, Data Science and Related Fields, University of Texas at San Antonio, San Antonio, TX.
  7. July 27, 2024, MADP-2024 (Meeting on Analysis, Dimensions and PDE), IIIT Allahabad, INDIA.
  8. May 14-17, 2024, Dynamical Systems and Fractal Geometry Conference, University of North Texas, Denton, TX, USA.
  9. April 06, 2024, 8th Coastal Bend Mathematics and Statistics Conference, Texas A&M University, Kingsville, TX, USA.
  10. October 13-15, 2023, AMS Fall Southeastern Sectional Meeting: Special Session on Ergodic Theory and Dynamical Systems, University of South Alabama, Mobile, AL.
  11. October 06, 2023, Statistics and Data Science Day, University of Texas Rio Grande Valley, Edinburg, TX 78539, USA.
  12. May 31-June 4, 2023, Special Session on Fractal Geometry, Dynamical Systems, and Their Applications, at the 13th AIMS Conference on Dynamical Systems, Differential Equations and Applications, Wilmington, NC, USA.
  13. April 01-02, 2023, AMS Spring Eastern Sectional Meeting, meeting virtually: Special Session on Fractal Geometry and Dynamical Systems, USA.
  14. March 18-19, 2023, AMS Spring Southeastern Sectional Meeting, Georgia Institute of Technology, Atlanta, GA: Special Session on Fractal Geometry and Dynamical Systems, USA.
  15. (Colloquium Talk) January 18, 2023, Department of Mathematics and Statistics, Indian Institute of Technology (IIT) Tirupati, INDIA.
  16. (Plenary Talk) December 19-22, 2022, International Conference on Nonlinear Applied Analysis and Optimization (ICNAAO-2021), Department of Mathematical Sciences, Indian Institute of Technology (BHU), Varanasi, INDIA.
  17. September 22-October 1, 2022, Workshop on Fractal Geometry and Related Fields, Department of Applied Sciences, Indian Institute of Information Technology Allahabad (IIIT-A), INDIA.
  18. September 16-17, 2022, The 12th BUAP-UAM-I-UTRGV Joint International Conference, University of Texas Rio Grande Valley, Texas, USA.
  19. July 29-31, 2022, Workshop in Analysis and Probability, Department of Mathematics, Texas A&M University, College Station, Texas, USA.
  20. May 14-15, 2022, AMS Spring Western Sectional Meeting (formerly at University of Denver, now meeting virtually): Special Session on Interactions between Probability and Statistics, USA.
  21. May 14-15, 2022, AMS Spring Western Sectional Meeting (formerly at University of Denver, now meeting virtually): Special Session on Fractal Geometry and Dynamical Systems, USA.
  22. (Plenary Talk) December 21-23, 2021, International Conference on Nonlinear Applied Analysis and Optimization (ICNAAO-2021), Department of Mathematical Sciences, Indian Institute of Technology (BHU), Varanasi, INDIA.
  23. October 23-24, 2021, AMS Fall Western Sectional Meeting (formerly at University of New Mexico, now meeting virtually): Special Session on Fractal Geometry and Dynamical Systems, Albuquerque, NM, USA.
  24. May 01-02, 2021, AMS Spring Western Sectional Meeting (formerly at San Francisco State University, now meeting virtually): Special Session on Analysis, Combinatorics, and Geometry of Fractals, USA.
  25. January 06, 2021, Special Session on Quantization for Probability Distributions and Dynamical Systems, Joint Mathematics Meetings, January 06-09, 2021, happened virtually, USA.
  26. January 18, 2020, Special Session on Quantization for Probability Distributions and Dynamical Systems, January 15-18, 2020, Denver, Colorado, USA.
  27. November 09-10, 2019, AMS Fall Western Sectional Meeting: Special Session on Dynamical Systems and Ergodic Theory, University of California, Riverside, CA, USA.
  28. November 09-10, 2019, AMS Fall Western Sectional Meeting: Special Session on Fractal Geometry, Dynamical Systems, and Related Topics, University of California, Riverside, CA, USA.
  29. November 02-03, 2019, AMS Fall Southeastern Sectional Meeting: Special session on Fractal Geometry and Dynamical Systems, University of Florida, Gainesville, FL, USA.
  30. July 10, 2019, Workshop in Analysis and Probability, Texas A&M University, College Station, TX, USA.
  31. May 02, 2019, BUAP-UAM-I-UTRGV Joint Functional Analysis Workshop, University of Texas Rio Grande Valley, Edinburg, Texas, USA.
  32. April 27, 2019, Statistics Day, Texas A&M University, Kingsville, Texas, USA.
  33. (Colloquium Talk) April 12, 2019, Department of Mathematics, The University of Texas at San Antonio, San Antonio, Texas, USA.
  34. March 23, 2019, 4th Coastal Bend Mathematics and Statistics Conference, University of Texas Rio Grande Valley, Edinburg, Texas, USA.
  35. March 15-17, 2019, Spring Southeastern Sectional Meeting: Special Session on Probability and Stochastic Processes, Auburn University, Auburn, AL, USA.
  36. March 15-17, 2019, Spring Southeastern Sectional Meeting: Special Session on Clustering Methods and Applications, Auburn University, Auburn, AL, USA.
  37. (Colloquium Talk) February 21, 2019, Department of Mathematics, The University of Iowa, Iowa City, Iowa, USA.
  38. January 24-27, 2019, Ergodic Theory Workshops, Department of Mathematics, University of North Carolina-Chapel Hill, NC, USA.
  39. January 16, 2019, AMS-ASL Special Session on Algorithmic Dimensions and Fractal Geometry, Joint Mathematics Meetings, January 16-19, 2019, Baltimore, Maryland, USA.
  40. April 21-22, 2018, AMS Spring Eastern Sectional Meeting: Special session on Ergodic Theory and Dynamics on Combinatorial Number Theory, Northeastern University, Boston, MA, USA.
  41. April 19-22, 2018, Ergodic Theory Workshops, Department of Mathematics, University of North Carolina-Chapel Hill, NC, USA.
  42. April 14-15, 2018, AMS Spring Southeastern Sectional Meeting: Special session on Quantization for Probability Distributions and Dynamical Systems, Vanderbilt University, Nashville, TN, USA.
  43. (Colloquium Talk) March 16, 2018, Department of Mathematical Sciences, The University of Memphis, Memphis, Tennessee, USA.
  44. (Colloquium Talk) February 09, 2018, Department of Mathematics, The University of Alabama at Birmingham, Birmingham, Alabama, USA.
  45. (Colloquium Talk) February 08, 2018, Department of Mathematics and Statistics, University of South Alabama, Mobile, Alabama, USA.
  46. (Colloquium Talk) November 09, 2017, Department of Mathematics, The City College of New York, New York, USA.
  47. November 04-05, 2017, AMS Fall Western Sectional Meeting: Special Session on Analysis and Geometry of Fractals, University of California, Riverside, CA, USA.
  48. October 23, 2017, Dynamical Systems Seminar, University of Houston, Houston, TX, USA.
  49. September 23-24, 2017, AMS Southeastern Sectional Meeting: Special session on Fractal Geometry, Dynamical Systems, and Their Applications, University of Central Florida, Orlando, FL, USA.
  50. September 09-10, 2017, AMS Fall Central Sectional Meeting: Special session on Fractal Geometry and Ergodic Theory, University of North Texas, Denton, TX, USA.
  51. July 10, 2017, Workshop in Analysis and Probability Seminar, Texas A&M University, College Station, TX, USA.
  52. April 20-23, 2017, Ergodic Theory Workshops, Department of Mathematics, University of North Carolina-Chapel Hill, NC, USA.
  53. April 01-02, 2017, AMS Spring Central Sectional Meeting: Special Session on Dependence in Probability and Statistics, Indiana University, Bloomington, IN, USA.
  54. January 04-07, 2017, Special Session on Measure and Measurable Dynamics (In Memory of Dorothy Maharam, 1917-2014), AMS Joint Mathematics Meetings 2017, Atlanta, GA, USA.
  55. July 1-5, 2016, Special Session on Inverse Limits in Dynamical Systems, at the 11th AIMS Conference on Dynamical Systems, Differential Equations and Applications, Orlando, Florida, USA.
  56. July 1-5, 2016, Special Session on Fractal Geometry, Dynamical Systems, and Their Applications, at the 11th AIMS Conference on Dynamical Systems, Differential Equations and Applications, Orlando, Florida, USA.
  57. June 6-10, 2016, Special Session on Centroidal Voronoi Tessellations and Their Applications, SIAM Conference on Discrete Mathematics, Georgia State University, Georgia, USA.
  58. April 16-17, 2016, AMS Spring Central Sectional Meeting: Special session on Ergodic Theory and Dynamical Systems, North Dakota State University, Fargo, ND, USA.
  59. March 10-13, 2016, 50th Spring Topology and Dynamical Systems Conference, Baylor University, Waco, TX, USA.
  60. October 17-18, 2015, AMS Fall Southeastern Sectional Meeting: Special session on Fractal Geometry and Dynamical Systems, University of Memphis, Memphis, TN, USA.
  61. May 18-20, 2015, The Dynamical Systems, Ergodic Theory, and Probability Conference dedicated to the memory of Nikolai Chernov, University of Alabama at Birmingham, USA.
  62. May 14-16, 2015, Special session on Dynamics of Time Series, Dynamical Systems and Quantization at 9th International Conference on Differential Equations and Dynamical Systems, Dallas, Texas, USA.
  63. March 27-29, 2015, AMS Spring Southeastern Sectional Meeting: Special session on Fractal Geometry and Dynamical Systems, University of Alabama in Huntsville, Huntsville, AL, USA.
  64. January 10-13, 2015, Special Session on Topological Measures of Complexity: Inverse Limits, Entropy, and Structures of Attractors, AMS Joint Mathematics Meetings 2015, San Antonio, TX, USA.
  65. June 2-6, 2014, RTG Research Conference: Logic, Dynamics, and their Interactions II, University of North Texas, TX, USA.
  66. April 11-13 (Friday-Sunday), 2014, AMS Spring Central Sectional Meeting: Special session on Fractal Geometry and Dynamical Systems, Texas Tech University, Lubbock, Texas, USA.
  67. March 21-23 (Friday-Sunday), 2014, AMS Southeastern Spring Sectional Meeting: Special session on Fractal Geometry and Ergodic Theory, University of Tennessee, Knoxville, Tennessee, USA.
  68. April 24, 2013, Workshop on Applied Analysis and Differential Equations, Department of Mathematics, University of Texas-Pan American, TX, USA.
  69. April 13, 2013, South Texas Mathematics Consortium, University of Texas at San Antonio, San Antonio, TX, USA.
  70. March 21-24, 2013, Ergodic Theory Workshop, Department of Mathematics, UNC Chapel Hill, NC, USA.
  71. March 1-3, 2013, AMS Spring Southeastern Sectional Meeting: Special session on Fractal Geometry and Ergodic Theory, University of Mississippi, Oxford, MS, USA.
  72. December 17-21, 2012, International Conference on the Theory, Methods and Applications of Nonlinear Equations, Texas A&M University-Kingsville, Texas, USA.
  73. June 4-8, 2012, RTG Research Conference: Logic, Dynamics and their Interactions with a Celebration of the Work of Dan Mauldin, University of North Texas, TX, USA.
  74. March 22-25, 2012, Workshop on Groups, Geometry and Random Structures, Department of Mathematics, Texas A&M University, College Station, Texas, USA.
  75. January 5, 2012, Geometric Functional Analysis & Probability Seminar, Department of Mathematics, Weizmann Institute, ISRAEL.
  76. December 20, 2011, Ergodic Theory and Probability Theory Seminar, Department of Mathematics, Ben-Gurion University of the Negev, ISRAEL.
  77. October 7, 2011, RTG Logic and Dynamics Seminar, University of North Texas, TX, USA.
  78. (Colloquium Talk) July 21, 2011, School of Mathematics, Tata Institute of Fundamental Research (TIFR), Mumbai, INDIA.
  79. July 08, 2011, Statistics & Probability Seminar, Dept of Mathematics, Indian Institute of Technology (IIT), Mumbai, INDIA.
  80. March 24-27, 2011, Group action on measure spaces, Texas A&M University, Texas, USA.
  81. February 19, 2011, 19th Annual South Texas Mathematics Consortium, Texas, USA.
  82. January 06-09, 2011, AMS Joint Mathematics Meetings, New Orleans, Louisiana, USA.
  83. January 04-05, 2011, Workshop in Analysis and Geometry, Louisiana State University, Baton Rouge, LA, USA.
  84. May 17-21, 2010, NSF/CBMS Regional Research Conference, The University of Texas-Pan American, USA.
  85. January 13-16, 2010, AMS Joint Mathematics Meetings, San Francisco, California, USA.
  86. November 7-8, 2009, AMS Fall Western Sectional Meetings, University of California, Riverside, CA, USA.
  87. February 19-22, 2009, Probability and Ergodic Theory Workshop, Department of Mathematics, UNC Chapel Hill, NC, USA.
  88. June 18-20, 2008, Pingree Park Dynamics Workshop, Colorado State University, Fort Collins, CO, USA.
  89. October 5-6, 2007, AMS Fall Sectional Meetings, Depaul University, Chicago, IL, USA.
  90. February 16-19, 2006, Probability and Ergodic Theory Workshop at UNC Chapel Hill, NC, USA.
  91. March 19-22, 2005, Maryland-Penn State Dynamics Workshop, University of Maryland, College Park, MD, USA.
  92. February 18-20, 2005, Probability and Ergodic Theory Workshop, Department of Mathematics, UNC Chapel Hill, NC, USA.