Cornell University Operations Research and Information Engineering Operations Research and Information Engineering

About me

I am a Ph.D. student in Cornell University at the School of Operations Research and Information Engineering. I am originally from Minsk, Belarus. In 1998, my family moved to the United States, and I have been living in New York ever since.

Research interests

My interests are in nonsmooth optimization, variational analysis, and the connections of these disciplines to semi-algebraic geometry. In particular, I enjoy working on problems exhibiting strong structural properties. The interplay between geometry, analysis, and optimization has been central in my work. My Ph.D. advisor is Adrian S. Lewis.

Education

Degree	Year	University
Ph.D. (Operations Research)	Exp. 2013	Cornell
M.S. (Operations Research)	2011	Cornell
B.S. (Computer Science)	2008	Polytechnic Institute of NYU

Publications (accepted or appeared)

• Tilt stability, uniform quadratic growth, and strong metric regularity of the subdifferential, D. Drusvyatskiy, A.S. Lewis. SIAM J. Optim., 23(1): 256-267, 2013.
• The dimension of semi-algebraic subdifferential graphs, D. Drusvyatskiy, A.S. Lewis, A. D. Ioffe. Nonlinear Analysis, 75(3):1231-1245, 2012.
• Semi-algebraic functions have small subdifferentials, D. Drusvyatskiy, A.S. Lewis. Manuscript, 21 pages. To appear in special issue of Mathematical Programming Ser. B in honor of Claude Lemaréchal.
• Generic nondegeneracy in convex optimization, D. Drusvyatskiy, A.S. Lewis. Proc. Amer. Soc. 139 (2011), 2519-2527.

Articles in review

• Optimality, identifiability, and sensitivity, D. Drusvyatskiy, A.S. Lewis. Manuscript, 43 pages, Mathematical Programming Ser. A, 2012.
• Approximating functions on stratifiable sets, D. Drusvyatskiy, M. Larsson. Manuscript, 23 pages, Transactions of the AMS, 2012.
• Clarke subgradients for directionally Lipschitzian stratifiable functions, D. Drusvyatskiy, A.D. Ioffe, A.S. Lewis. Manuscript, 23 pages, Mathematics of Operations Research, 2012.
• Curves of descent, D. Drusvyatskiy, A.D. Ioffe, A.S. Lewis. Manuscript, 23 pages, SIAM Journal on Control and Optimization, 2013.
• Orthogonal invariance and identifiability, A. Daniilidis, D. Drusvyatskiy, A.S. Lewis. Manuscript, 21 pages, SIAM Journal on Matrix Analysis and Applications, 2013.
• Second-order growth, tilt stability, and metric regularity of the subdifferential , D. Drusvyatskiy, B.S. Mordukhovich, T.T.A. Nghia. Manuscript, 23 pages, Journal of Convex Analysis, 2013.

Articles in preparation

• Solutions of foliations, A.Daniilidis, D. Drusvyatskiy, A.S. Lewis. Short note, 10 pages.
• Alternating projections: a new approach, D. Drusvyatskiy, A.D. Ioffe, A.S. Lewis.
• Tame variational analysis, D. Drusvyatskiy, A.D. Ioffe, A.S. Lewis. Invited survey article to be published in the Journal of Optimization Theory and Applications.
• Universal nature of partial smoothness, D. Drusvyatskiy, A.D. Ioffe, A.S. Lewis.

Technical Reports

• Complexity of a Single Face in an Arrangement of s-Intersecting Curves, Boris Aronov, Dmitriy Drusvyatskiy. Short note, 9 pages, arXiv:1108.4336v1 [cs.CG].

Seminar

• In the Fall of 2011, Shanshan Zhang and I are leading a seminar on Variational and Nonsmooth Analysis.

Recent Research Talks

• Optimization and intrinsic geometry (invited talk), ISE seminar, Lehigh University, Bethlehem, Pennsylvania, Feb. 2013. Slides
• Slope and geometry in variational mathematics (invited talk), South Pacific Optimization Meeting (SPOM 2013), The University of Newcastle, Newcastle, Australia, Feb. 2013. Slides
• Slope and geometry in variational mathematics (invited talk), UW-PIMS Mathematics Colloquium, University of Washington, Seattle, Washington, USA, Jan. 2013. Slides
• Active sets, steepest descent, and smooth approximations of functions (invited talk), Combinatorics and Optimization Seminar, University of Waterloo, Waterloo, Ontario, Canada, Jan. 2013. Slides
• Active sets, steepest descent, and smooth approximations of functions (invited talk), Nonlinear Analysis and Optimization Seminar, Technion - Israel Institute of Tech., Haifa, Israel, Nov. 2012. Slides
• Active sets, steepest descent, and smooth approximations of functions (invited talk), UW Optimization seminar, University of Washington, Seattle, Washington, USA, Oct. 2012. Slides
• Identifiability and the foundations of sensitivity analysis (session chair), International Symposium on Mathematical Programming, Berlin Institute of Technology, Berlin, Germany, Aug. 2012. Slides
• Variational analysis and smooth substructure, Constructive Nonsmooth Analysis and Related Topics, Euler International Mathematical Institute, St. Petersburg, Russia, June 2012. Slides
• Variational analysis and smooth substructure (invited talk), Variational Analysis and Applications, Erice, Sicily, May 2012. Slides
• Variational analysis and smooth substructure (invited talk), Seminar on Nonlinear Analysis and Optimization, Technion - Israel Institute of Technology, Haifa, Israel, Jan. 2012. Slides
• Identifiable sets in optimization, 13th Midwest Optimization Meeting & Workshop on Large Scale Optimization and Applications , Fields Institute, Toronto, Canada, Oct. 2011. Slides
• Critical Manifolds: Characterization and Existence, Optimization 2011, Caparica, Portugal, July 2011.
• The dimension of semi-algebraic subdifferential graphs, Advances in Optimization and Related Topics (ADORT-2010), Centre de Recerca Matemàtica, Bellaterra, Spain, Dec. 2011.

Activities

In my spare time, I enjoy playing basketball and tennis, as well as lifting weights. I am also a big fan of eating good food.