Roman Vershynin
Home page:
http://www.math.ucdavis.edu/~vershynin/
Position: Associate Professor
Year joining UC Davis: 2003
Degree: Ph.D., 2000, University of Missouri-Columbia
Refereed publications: Via
Math Reviews
Recent publications: Via
math arXiv
Research
Roman Vershynin works in geometric functional analysis, exploring connections among functional analysis,
convex geometry, and
probability theory.
Some of his work extends to probability theory,
combinatorics,
convex and discrete geometry,
harmonic analysis, theoretical computer science, and
numerical analysis.
Selected Publications
[1] M. Rudelson, R. Vershynin. " The Littlewood-Offord Problem and invertibility of random matrices." Advances in Mathematics, to appear,
arXiv:math-ph/0703.5503.
[2] M. Rudelson, R. Vershynin. " Sampling from large matrices: an approach through geometric functional analysis" Journal of the ACM, Art. 21, 19 pp., 2007,
arXiv:math-ph/0503.5442.
[3] M. Rudelson, R.Vershynin. " Combinatorics of random processes and sections of convex bodies. " Annals of Mathematics, 164: 603—648, 2006, arXiv:math-ph/0404.5192.
[4] R. Vershynin. " Integer cells in convex sets. " Advances in Mathematics, 197: 248—273, 2005,
arXiv:math-ph/0403.5278.
[5] R. Vershynin. " Beyond Hirsch Conjecture: walks on random polytopes and smoothed complexity of the simplex method, " FOCS 2006 (47th Annual Symposium on Foundations of Computer Science), 133—142,
arXiv:math-ph/0604.6055.
Awards and Fellowships
- Sloan Research Fellowship, 2005-2009
Last updated: 2008/02/11
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