Dmitry Vaintrob

Office: E18-401C
Email: mitkav[at]math[dot]mit[dot]edu

I am a fifth-year graduate student at MIT. My advisor is Roman Bezrukavnikov. I'm interested in geometric representation theory, number theory, derived algebraic geometry and topology. A draft of my thesis can be found here.

Publications

Introduction to Representation Theory. with P. Etingof, O. Goldberg, S. Hensel, T. Liu, A. Schwendler and E. Yudovina. AMS Publishing (2011)

The string topology BV algebra, Hochschild cohomology and the Goldman bracket on surfaces. arXiv:math/0702859 (2006)

On the Surjectivity of Galois Representations Associated to Elliptic Curves over Number Fields. with E. Larson. Bulletin of the London Mathematics Society, vol. 46. Pp. 197-209. (2014)

Determinants of Subquotients of Galois Representations Associated to Abelian Varieties. with E. Larson and Appendix by B. Conrad. Journal of the Institute of Mathematics of Jussieu, vol. 13 No. 3, pp 517-559 (2014)

The non-equivariant coherent-constructible correspondence and incomplete topologies. Preprint (2015)

Nonabelian Hodge Theory and the Local Monodromy Theorem. with V. Vologodsky. (2015)

Talks

• Building a Better $K$ Theory for $p$-adic Representations: The Compactified Category and Character Formulas, Stanford Number Theory Seminar, November 2015.
• Monodromy of the Noncommutative Gauss-Manin Connection, UC Berkeley GRASP Seminar, November 2015.
• Proof of the Geometric Satake Isomorphism, Park City Mathematics Institute, July 2015.
• Quantization and Morita Equivalence, MIT Derived Categories Seminar, May 2015.
• Neron Models, MIT Number Theory Reading Seminar, October 2014.
• Regularity of the Noncommutative Gauss-Manin Connection via Lifting from Positive Characteristic, UPenn Algebra Seminar, February 2014
• Noncommutative Cartier Isomorphism (after Kaledin), UOregon Algebra Seminar, January 2014.
• Rigid Analytic Geomtry according to Tate, MIT STAGE (Some Topics in Algebraic Geometry, Etc.), September 2013.
• Dirac's Quantum Quaternions, MIT SPAMS (Simple Person's Applied Math Seminar), May 2013.
• Derived Moduli Problems (after Lurie), UOregon Algebra Seminar, January 2013.
• Mazur's Isogeny Theorem and Generalizations, SUNY Number Theory Conference, April 2012.