Alexander A. Voronov - Misplaced Pages

Russian-American mathematician

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.

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. 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, an AMS Centennial Fellow,, a Simons Fellow, 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". Russian: Functional Anal. Appl.. 22 (2): 139–140.
Rosly, A. A.; Schwarz, A. S.; Voronov, A. A. (1989). "Geometry of superconformal manifolds". Comm. Math. Phys. 119 (1): 129–152. doi:10.1007/BF01218264. S2CID 120761645.
Voronov, A. A. (1993). "Semi-infinite homological algebra". Invent. Math. 113 (1): 103–146. Bibcode:1993InMat.113..103V. doi:10.1007/BF01244304. S2CID 122758764.
Gerstenhaber, M.; Voronov, A. A. (1995). "Homotopy G-algebras and moduli space operad". Int. Math. Res. Not. 1995 (3): 141–153. arXiv:hep-th/9409063. doi:10.1155/S1073792895000110.
Kimura, T.; Stasheff, J.; Voronov, A. A. (1995). "On operad structures of moduli spaces and string theory". Comm. Math. Phys. 171 (1): 1–25. arXiv:hep-th/9307114. Bibcode:1995CMaPh.171....1K. doi:10.1007/BF02103769. S2CID 17765612.
Voronov, A. A. (1999). "The Swiss-cheese operad". Homotopy invariant algebraic structures (Baltimore, MD, 1998). Contemp. Math. Vol. 239. Providence: AMS. pp. 365–373.
Bakalov, B.; Kac, V. G.; Voronov, A. A. (1999). "Cohomology of conformal algebras". Comm. Math. Phys. 200 (3): 561–598. arXiv:math/9803022. Bibcode:1999CMaPh.200..561B. doi:10.1007/s002200050541. S2CID 15848034.
Voronov, A. A. (2000). "Homotopy Gerstenhaber algebras". Conférence Moshé Flato 1999, Vol. II (Dijon). Math. Phys. Stud. Vol. 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. Vol. 73. Providence: AMS. pp. 81–103.
Hu, P.; Kriz, I.; Voronov, A. A. (2006). "On Kontsevich's Hochschild cohomology conjecture". Compositio Mathematica. 142 (1): 143–168. arXiv:math/0309369. doi:10.1112/S0010437X05001521 (inactive 1 November 2024). S2CID 15153116.{{cite journal}}: CS1 maint: DOI inactive as of November 2024 (link)
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.

References

Kavli IPMU Affiliate member page
Mathematics Genealogy Project
"2019 Class of the Fellows of the AMS". American Mathematical Society.
"1996-1997 AMS Centennial Fellowships Awarded" (PDF). American Mathematical Society.
"2012 Simons Fellow in Mathematics".
Latschev, Janko (2010). "Review: String topology and cyclic homology by R. L. Cohen, K. Hess, and A. A. Voronov" (PDF). Bull. Amer. Math. Soc. (N.S.). 47 (4): 705–712. doi:10.1090/s0273-0979-09-01265-8.

External links

Alexander Voronov's University of Minnesota web page

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