Roman Vershynin is Professor of Mathematics at the University of California, Irvine, and Associate Director of the Center for Algorithms, Combinatorics and Optimization. His area of expertise is high dimensional probability and data science. He studies random structures that appear across mathematics and data science, especially in high dimensional probability, high dimensional statistics, machine learning, signal processing, and data privacy.
Roman Vershynin received an equivalent of M.S. from Kharkiv National University in Ukraine in 1996 and Ph.D. from University of Missouri-Columbia in 2000. Prior to his appointment at the University of California, Irvine, he was a faculty at the University of Michigan (2008-2017), the University of California, Davis (2003-2008) and a postdoctoral fellow at the University of Alberta in Canada (2001-2003) and Weizmann Institute of Science in Israel (2000-2001). He is a Founding Editor of Mathematical Statistics and Learning (2016-present), and an Associate Editor of the Bernoulli Journal (2022-present), Michigan Mathematical Journal (2016-2017), Journal of Fourier Analysis and Applications (2010-2021), Acta Mathematica Hungarica (2019-2022), and SIAM Journal on Mathematics of Data Science (2022-2024). His honors include the Alfred Sloan Research Fellowship in 2005, an invited talk at the International Congress of Mathematicians in Hyderabad in 2010, Bessel Research Award from Humboldt Foundation in 2013, Distinguished Mid-Career Faculty Award for Research in 2020, and the Medallion Award and Lecture from the Institute of Mathematical Statistics in 2022. He is the author of the textbook "High dimensional probability. An introduction with applications in Data Science", the winner of 2019 PROSE Award for Mathematics from the Association of American Publishers.
Address: Department of Mathematics, University of California, Irvine, CA 92697, U.S.A.
E-mail: rvershyn "at" uci "dot" edu
Phone: 949-824-6592
B.A.in Mathematics, Zaporizhzhya National University, 1994.
M.S. in Mathematics, Kharkiv National University, 1996.
Ph. D., Mathematics, University of Missouri, Columbia, 2000. Advisor: Professor Nigel Kalton.
1997: Teaching Assistant, Kharkiv National University, Ukraine
1997-1998: Junior Visiting Professor, Politecnic Institute of Milan, Italy
1998: Research Graduate Student, Friedrich Schiller University, Jena, Germany
1999-2000: Teaching Assistant and Associate Instructor, University of Missouri-Columbia
2000-2001: Research Postdoctoral Fellow, Weizmann Institute of Science, Israel
2001-2003: PIMS Postdoctoral Fellow, Pacific Institute for Mathematical Sciences and University of Alberta, Canada
2002: Visiting Fellow, Australian National University, Canberra, Australia
2003-2006: Assistant Professor, University of California, Davis
2006: Visiting Professor, University of Paris-Est, France
2006-2008: Associate Professor, University of California, Davis
2008-2017: Professor, University of Michigan, Ann Arbor
2017-present: Professor, University of California, Irvine
2005: Sloan Research Fellowship
2010: Invited talk at the International Congress of Mathematicians in Hyderabad
2013: Bessel Research Award, awarded by Humboldt Research Foundation
2019: PROSE Award in Mathematics for the book "High dimensional probability. An introduction with applications in Data Science", awarded by the Association of American Publishers
2020: Distinguished Mid-Career Faculty Award for Research, awarded by the University of California, Irvine
2022: Medallion Award and Lecture, awarded by the Institute of Mathematical Statistics
1997-1998: CNR Research Fellowship, awarded by the National Research Council of Italy
1999-2000: Lee and Cozette McFarlan Doctorate Fellowship, awarded by the University of Missouri-Columbia
2001-2002: PIMS Postdoctoral Fellowship, awarded by the Pacific Institute for Mathematical Sciences
2004: Oberwolfach Research in Pairs Grant, awarded by Mathematisches Forschungsinstitut Oberwolfach.
2004-2007: NSF Grant DMS 0401032 "Probabilistic and combinatorial approach to geometric functional analysis".
2004: Miller Visitor Fellowship, swarded by University of Missori-Columbia.
2005-2009: Sloan Research Fellowship
2007-2012: NSF Focused Research Group Grant DMS 0652617, 0918623 "FRG: Fourier analytic and probabilistic methods in geometric functional analysis and convexity".
2010: Invited talk at the International Congress of Mathematicians in Hyderabad
2010-2013: NSF Grant DMS 1001829 "Non-asymptotic problems on random operators in geometric functional analysis and applications".
2012 IEEE SPS Young Author Best Paper Award for the paper "Signal recovery from incomplete and inaccurate measurements via Regularized Orthogonal Matching Pursuit", IEEE Journal of Selected Topicsin Signal Processing 4 (2010), 310--316. This paper was co-authored with my former student Deanna Needell; she was the Young Author receiving this award.
2013-2016: NSF Grant DMS 1265782 "Geometric functional analysis, random matrices and applications"
2013: Bessel Research Award, awarded by Humboldt Research Foundation
2014-2017: U.S. Air Force Grant FA9550-14-1-0009 "Probabilistic signal recovery and random matrices"
2017-2020: U.S. Air Force Grant FA9550-18-1-0031 "Hunting for low-dimensional structures in high dimensional data"
2020-2023: NSF Grant DMS 1954233 "High-dimensional probability for high-dimensional data"
2020-2023: NSF Grant DMS 2027299 "A mathematical framework for generating synthetic data"
2020-2023: U.S. Army Grant 76649-CS "Foundations of deep learning"
2020-2025: NSF+Simons Research Collaborations on the Mathematical and Scientific Foundations of Deep Learning
2003: Conference on Geometric Functional Analysis, Kiel, Germany (plenary)
2004: Phenomena in Large Dimensions, Vancouver, Canada (invited)
2004: Workshop on Geometry of Banach spaces, Oberwolfach, Germany (invited)
2004: IV International Conference in honor of Hans Han, Chernivci, Ukraine (plenary)
2004: Mathematical Foundations of Learning Theory, Barcelona, Spain (invited)
2004: Convex Geometric Analysis, BIRS, Canada (invited)
2004: Ehrhart-Quasipolynomials: Algebra, Combinatorics, and Geometry, Oberwolfach, Germany (invited)
2005: Southeast Geometry Conference, Columbia, SC (invited)
2005: Sparse Representation in Redundant Systems, CSCAM,College Park, MD (invited)
2005: FOCS 2005: 46th Annual Symposium on Foundations of Computer Science, Pittsburgh, PA
2006: Convex Sets and their Applications, BIRS, Canada (invited)
2006: CISS 2006: 40th Conference on Information Sciences and Systems, Princeton (invited)
2006: Banach spaces and their applications in analysis, Oxford, OH (plenary)
2006: Asymptotic Geometric Analysis and Applications, Paris, France (plenary)
2006: RANDOM 2006: 10th International Workshop on Randomization and Computation, Barcelona, Spain
2006: Theory of Computation Colloquium, Georgia Institute of Techlology, Atlanta
2006: FOCS 2006: 47th Annual Symposium on Foundations of Computer Science, Berkeley, CA
2007: Short Course on Sparse Representations and High Dimensional Geometry, IPAM, Los Angeles, CA (invited)
2007: Trends in Harmonic Analysis, Strobl, Austria (plenary)
2007: Phenomena in High Dimensions, Samos, Greece (plenary)
2007: AMS Von Neumann Symposium, Snowbird, UT (invited)
2007: Fourier analytic methods in convex geometry, AIM, Palo Alto, CA (invited)
2007: Algorithmic convex geometry, AIM, Palo Alto, CA (invited)
2007: Colloquium, University of Minnesota, Minneapolis
2007: Colloquium, Georgia Institute of Techlology, Atlanta
2008: Special Mathematics Seminar, MIT
2008: Colloquium, Vanderbilt University
2009: Spring Meeting of the Western Section of AMS, San Francisco (plenary)
2009: Probability in Asymptotic Geometry, Texas A&M University (lecture series)
2009: Southeastern Analysis Meeting, Georgia Institute of Technology (plenary)
2010: Colloquium, Case Western Reserve University
2010: Bonn Mathematics Colloquium; Sparsity and Computation, Hausdorff Center, University of Bonn, Germany (plenary)
2010: International Congress of Mathematicians, Hyderabad, India (invited)
2010: PACM Colloquium, PACM, Princeton University
2011: Canadian Mathematical Society Summer Meeting, Edmonton, Canada (plenary)
2011: Summer School on random matrices, stochastic geometry, and compressed sensing, Institut Henri Poincare, France (lecture series)
2011: Colloquium, University of Michigan
2012: Phenomena in high dimensions in geometric analysis, random matrices and computational geometry, Roscoff, France (invited)
2012: Journees MAS, Clermont-Ferrand, France (plenary)
2013: Colloquium, University of Pittsburgh
2013: Asymptotic Geometric Analysis II, Euler International Mathematical Institute, Saint-Petersburg, Russia (invited)
2013: SampTA 2013 (Sampling Theory and Applications), Bremen, Germany (plenary)
2014: Colloquium, Wayne State University
2015: Colloquium, Technical University of Berlin
2015: A mini-course "Recent progress in non-asymptotic random matrix theory", ETH Zurich
2015: SPARS 2015, Cambridge, UK (plenary)
2015: Matheon Conference "Compressed Sensing and its Applications", Berlin, Germany (plenary)
2016: Colloquium, UT Austin
2016: Riviere-Fabes Symposium, UMN (two hour talk)
2016: Summer School on Random Matrices, University of Michigan (lecture series)
2016: PCMI Graduate Summer School, Park City, UT (lecture series)
2016: Midwest Probability Colloquium (two hour tutorial)
2017: MSRI Introductory Workshop (three hour tutorial)
2017: Charles River Lecture, Harvard, MIT and Microsoft Research New England.
2018: A mini-course in high dimensional probability, Columbia University.
2019: Colloquiua, UCLA and UCSD
2019: Joint Mathematics and Statistics Colloquium, UC Davis
2022: Stiefel Lecture, ETH Zurich
2022: Medallion Lecture, Annual IMS Meeting, London
2023: UCLA Synthetic Data Workshop (keynote)
2023: Inaugural CAMDA Conference, Texas A&M University (plenary)
2023: Math&Computation, MIT (invited)
2008: Summer School on Fourier analytic and probabilistic methods in geometric functional analysis and convexity (co-organized with our NSF FRG), Kent State University
2009: Special Session on Concentration Inequalities (organized by Sourav Chatterjee and myself), Spring Meeting of the Western Section of AMS, San Francisco
2009: Mini-symposium on Probability and Convex Geometry (organized jointly with Bo'az Klartag), Israel
2010: Perspectives in High Dimensions (co-organized with our NSF FRG), Case Western Reserve University, Cleveland
2011-12: IMA Thematic Year on Mathematics of Information, IMA, Minneapolis. (Organizing Commitee). Fall 2011: Workshop on High Dimensional Phenomena (co-organized with Rich Baraniuk and Aarti Singh)
2014: Informal Analysis and Probability Seminar
2017: Introductory Workshop: phenomena in high dimensions (Chair of the Organizing Committee), MSRI, Berkeley
2018: IPAM Workshop on Random Matrices and Free Probability Theory
2010-2021: Journal of Fourier Analysis and Applications
2016-2017: Michigan Mathematical Journal
2019-2022: Acta Mathematica Hungarica
2016-present: Mathematical Statistics and Learning
2022-present: Bernoulli Journal
2022-2024: SIAM Journal on Mathematics of Data Science (SIMODS)
Journals: Acta Applicanda Mathematicae, Advances in Applied Probability, Advances in Mathematics, ALEA Latin American Journal of Probability and Mathematical Statistics, Annals of Applied Probability, Annals of Mathematics, Annals of Probability, Applied and Computational Harmonic Analysis, Bernoulli, Bulletin of the London Mathematical Society, Combinatorica, Communications in Contemporary Mathematics, Communications on Pure and Applied Mathematics, Computational Advances in Multi-Sensor Adaptive Processing, Discrete Analysis, Discrete and Computational Geometry, Duke Mathematical Journal, Electronic Communications in Probability, Electronic Journal of Statistics, Electronic Journal of Probability, Enseignement Mathematique, ESAIM: Probability and Statistics, Forum of Mathematics Pi, Foundations of Computational Mathematics, FOCS (Symposium on Foundations of Computer Science), Geometric and Functional Analysis (GAFA), IEEE Signal Processing Letters, IEEE Transactions on Information Theory, Information and Inference (a journal of the IMA), International Mathematics Research Notices, Inventiones Mathematicae, Inverse Problems and Imaging, Involve, Israel Journal of Mathematics, Journal fur die Reine und Angewandte Mathematik (Crelle's Journal), Journal of the ACM, Journal of the American Mathematical Society, Journal of Approximation Theory, Journal of Computational Mathematics, Journal of the European Mathematical Society, Journal of Functional Analysis, Journal of Inequalities and Applications, Journal of Mathematical Analysis and Applications, Lecture Notes in Mathematics (GAFA Seminar Notes), Lecture Notes/Monograph Series of the Institute of Mathematical Statistics, Mathematical Methods of Operations Research, Mathematical Programming, Mathematics of Operations Research, Mathematika, Memoirs of the AMS, Michigan Mathematical Journal, Monatshefte fur Mathematik, NIPS (Conference on Neural Information Processing Systems), Panoramas et Syntheses of the French Mathematics Society, PNAS (Proceedings of the National Academy of Sciences of the USA), Probability Theory and Related Fields, Problems of Information Transmission, Proceedings of the AMS, Proceedings of the London Mathematical Society, Proceedings of the National Academy of Sciences (PNAS), Publicacions Matematiques, Publications mathematiques de l'IHES, Pure and Applied Functional Analysis, Random Structures and Algorithms, SIAM Journal on Discrete Mathematics, SIAM Journal of Computing, SIAM Journal on Matrix Analysis and Applications, SODA (Symposium on Discrete Algorithms), Statistics and Probability Letters, Studia Mathematica
Publishers: Cambridge University Press, CRC Press, Duke University Press, Princeton University Press
Granting agencies: NSA (National Security Agency), NSF (National Science Foundation), ERC (European Research Counsil), ISF (Israel Science Foundation), GIF (German-Israeli Foundation for Scientific Research and Development), McArthur Foundation, Packard Foundation, France-Berkeley Fund
Yuting Yang, M.S. in Financial Mathematics, 2009.
Deanna Needell, Ph.D. in Mathematics, 2009. Professor of Mathematics at UCLA since Fall 2017.
Can Le, Ph.D. in Statistics, 2016, co-advised with Professor Elizaveta Levina. Professor of Statistics at UC Davis since Fall 2016.
Elizaveta Rebrova, Ph.D. in Mathematics, 2018.
Yan Shuo Tan, Ph.D. in Mathematics, 2018.
Joseph Borja, M.S. in Applied and Interdisciplinary Mathematics, 2015.
Jennifer Bryson, Ph.D. in Mathematics, 2020.
Kathryn Dover, Ph.D. in Mathematics, 2023 (expected).
Yuyin He, Ph.D. in Mathematics (in progress).
2004-05: Leader of the NSF VIGRE Research Focus Group "Probabilistic Aspects of Combinatorics and Convexity"
2006-07: Colloquium Chair; Chair of the Postdoctoral Search Committee
2011-13: Executive Committee; Leader of the Analysis Area
2013-14: Director of Applied and Interdisciplinary Mathematics Program
2018-20: Advisor for Undergraduate Concentration in Data Science
2018-present: Associate Director of the Center for Algorithms, Combinatorics and Optimization