Roman Vershynin

Biographical Sketch

Roman Vershynin

Roman Vershynin is a Professor of Mathematics working at the University of Michigan. His primary area of expertise is high dimensional probability. He is interested in random geometric structures that appear across mathematics and data sciences, in particular in random matrix theory, geometric functional analysis, convex and discrete geometry, geometric combinatorics, high dimensional statistics, information theory, learning theory, signal processing, numerical analysis, and network science.

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 Michigan, he was a faculty at 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 has served on the Editorial Board of the Journal of Fourier Analysis and Applications since 2010 and Michigan Mathematical Journal since 2016. His honors include the Alfred Sloan Research Fellowship in 2005, an invited talk at the International Congress of Mathematicians in Hyderabad in 2010, a plenary talk at the Summer Meeting of the Canadian Mathematical Society in 2011, and Bessel Research Award from Humboldt Foundation in 2013.

Contact Information

Address: Department of Mathematics, University of Michigan, 530 Church Street, Ann Arbor, MI 48109, U.S.A.

E-mail: romanv "at" umich "dot" edu


Phone: 1-734-647-5696, Fax: 1-734-763-0937

Education 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-: Professor, University of Michigan, Ann Arbor

Awards and Grants

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".

Selected Talks

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: FoCM 2017 - Foundations of Computational Mathematics, Barcelona (plenary)

Events Organized

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 (co-organized with the Analysis group of Kent State University).

2017: Introductory Workshop: phenomena in high dimensions (Chair of the Organizing Committee), MSRI, Berkeley



Journals: Acta Applicanda Mathematicae, Annals of Applied Probability, Annals of Probability, Applied and Computational Harmonic Analysis, Bernoulli, Communications in Contemporary Mathematics, Communications on Pure and Applied Mathematics, Computational Advances in Multi-Sensor Adaptive Processing, Discrete and Computational Geometry, Duke Mathematical Journal, Electronic Communications in Probability, Electronic Journal of Statistics, Electronic Journal of Probability, Foundations of Computational Mathematics, FOCS (Symposium on Foundations of Computer Science), Geometric and Functional Analysis, 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, Israel Journal of Mathematics, Journal fur die Reine und Angewandte Mathematik (Crelle's Journal), 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, Mathematics of Operations Research, Mathematika, Michigan Mathematical Journal, NIPS (Conference on Neural Information Processing Systems), Panoramas et Synth├Ęses" of the French Mathematics Society, PNAS (Proceedings of the National Academy of Sciences of the USA), Probability Theory and Related Fields, Proceedings of the AMS, Proceedings of the National Academy of Sciences (PNAS), Publicacions Matematiques, 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), Studia Mathematica

Publishers: Cambridge University 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

Graduate Students

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 (expected).

Yan Shuo Tan, Ph.D. in Mathematics, 2018 (expected).

Yun Wei, Ph.D. in Applied and Interdisciplinary Mathematics, co-advised with Professor Al Hero, EEECS, 2018 (expected).

Yuting Yang, M.S. in Financial Mathematics, 2009.

Joseph Borja, M.S. in Applied and Interdisciplinary Mathematics, 2015.


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