Biography:Alexander A. Voronov
Alexander A. Voronov (Russian: Александр Александрович Воронов) (born November 25, 1962) is a Russian-American mathematician specializing in mathematical physics, algebraic topology, and algebraic geometry. He is currently a Professor of Mathematics at the University of Minnesota and a Visiting Senior Scientist at the Kavli Institute for the Physics and Mathematics of the Universe.[1]
Biography
Voronov graduated from Moscow State School 57 in 1980. He received an M.S. in Mathematics in 1985 and a Ph.D. in Mathematics at Moscow State University in 1988 under Yuri I. Manin.[2] Alexander Voronov is known for his work on the super Mumford isomorphism (see Mumford measure), semi-infinite cohomology, operads in quantum field theory (see Swiss-cheese operad), Deligne's and Kontsevich's conjectures on Hochschild cohomology, cohomology of vertex operator algebras, and string topology (see cactus operad). He is a Fellow of the American Mathematical Society[3], an AMS Centennial Fellow,[4], a Simons Fellow,[5] and a 2010 Japan Society for the Promotion of Science (JSPS) Research Fellow.
Selected publications
- Voronov, A. A. (1988). "A formula for Mumford measure in superstring theory" (in en). Russian: Functional Anal. Appl. 22 (2): 139–140.
- Rosly, A. A.; Schwarz, A. S.; Voronov, A. A. (1989). "Geometry of superconformal manifolds" (in en). Comm. Math. Phys. 119 (1): 129–152. doi:10.1007/BF01218264. http://projecteuclid.org/euclid.cmp/1104162274.
- Voronov, A. A. (1993). "Semi-infinite homological algebra" (in en). Invent. Math. 113 (1): 103–146. doi:10.1007/BF01244304. Bibcode: 1993InMat.113..103V.
- Gerstenhaber, M.; Voronov, A. A. (1995). "Homotopy G-algebras and moduli space operad" (in en). Int. Math. Res. Not. 1995 (3): 141–153. doi:10.1155/S1073792895000110.
- Kimura, T.; Stasheff, J.; Voronov, A. A. (1995). "On operad structures of moduli spaces and string theory" (in en). Comm. Math. Phys. 171 (1): 1–25. doi:10.1007/BF02103769. Bibcode: 1995CMaPh.171....1K.
- Voronov, A. A. (1999). "The Swiss-cheese operad". Homotopy invariant algebraic structures (Baltimore, MD, 1998). Contemp. Math.. 239. Providence: AMS. pp. 365–373.
- Bakalov, B.; Kac, V. G.; Voronov, A. A. (1999). "Cohomology of conformal algebras" (in en). Comm. Math. Phys. 200 (3): 561–598. doi:10.1007/s002200050541. Bibcode: 1999CMaPh.200..561B.
- Voronov, A. A. (2000). "Homotopy Gerstenhaber algebras". Conférence Moshé Flato 1999, Vol. II (Dijon). Math. Phys. Stud.. 22. The Netherlands: Kluwer Academic Publishers. pp. 307–331.
- Voronov, A. A. (2005). "Notes on universal algebra". Graphs and patterns in mathematics and theoretical physics. Proc. Sympos. Pure Math.. 73. Providence: AMS. pp. 81–103.
- Hu, P.; Kriz, I.; Voronov, A. A. (2006). "On Kontsevich's Hochschild cohomology conjecture" (in en). Compositio Mathematica 142 (1): 143–168. doi:10.1112/S0010437X05001521.
- Cohen, R. L.; Hess, K.; Voronov, A. A. (2006). String topology and cyclic homology. Advanced Courses in Mathematics. CRM Barcelona. Basel: Birkhäuser. pp. viii+163. ISBN 9783764373887. https://books.google.com/books?id=ZKkHb7iOwlwC.[6]
References
- ↑ Kavli IPMU Affiliate member page
- ↑ Mathematics Genealogy Project
- ↑ "2019 Class of the Fellows of the AMS" (in en-US). American Mathematical Society. http://www.ams.org/fellows_by_year.cgi?year=2019.
- ↑ "1996-1997 AMS Centennial Fellowships Awarded" (in en-US). American Mathematical Society. https://www.ams.org/notices/199606/people.pdf.
- ↑ "2012 Simons Fellow in Mathematics" (in en-US). https://www.simonsfoundation.org/grant/simons-fellows-in-mathematics/?tab=awardees.
- ↑ Latschev, Janko (2010). "Review: String topology and cyclic homology by R. L. Cohen, K. Hess, and A. A. Voronov". Bull. Amer. Math. Soc. (N.S.) 47 (4): 705–712. doi:10.1090/s0273-0979-09-01265-8. https://www.ams.org/journals/bull/2010-47-04/S0273-0979-09-01265-8/S0273-0979-09-01265-8.pdf.
External links
 |  |
