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Kapranov Mikhail Mikhailovich

Statistics Math-Net.Ru
Total publications: 18
Scientific articles: 17

Number of views:
This page:1568
Abstract pages:10830
Full texts:4525
References:591
Professor
E-mail:
Website: http://www.math.yale.edu/~mk486/

Subject:

Algebraic geometry Representation theory Mathematical physics

Biography

Education:
B.S. Moscow University (1982), Ph.D. Steklov Institute (Moscow) 1988.

Professional experience:
Research associate, Steklov Institute, 1988-90.
Postdoctoral research associate, Cornell University, 1990-91.
Assistant Professor, Northwestern University, 1991-93.
Associate Professor, Northwestern University, 1993-95.
Professor, Northwestern University, 1995-99.
Professor, University of Toronto, 1999-2003.
Professor, Yale University, 2003-present.

   
Main publications:
  • 1. (with Y. Manin) Modules and Morita theory for operads, Amer. J. Math. 123 (2001), no. 5, 811--838.
  • 2. Semiinfinite symmetric powers, preprint math.QA/0107089. (with I. Ciocan-Fontanine) Derived Hilbert schemes, J. Amer. Math. Soc. 15 (2002), no. 4, 787-815.
  • 3. (with E. Vasserot) Vertex algebras and the formal loop space. Publ. Math. Inst. Hautes Études Sci. 100 (2004), 209-269. (with M. Einsiedler, D. Lind) Non-archimedean amoebas and tropical varieties, J. reine und angew. Math. 601 (2006), 139-158.
  • 4. (with S. Arkhipov) Toric arc schemes and quantum cohomology of toric varieties, Math. Ann. 335 (2006), 953-964.
  • 5. Harmonic analysis on algebraic groups over two-dimensional local fields of equal characteristic. Invitation to higher local fields (Münster, 1999), 255--262, Geom. Topol. Monogr., 3 , Geom. Topol. Publ., Coventry, 2000.

http://www.mathnet.ru/eng/person18751
List of publications on Google Scholar
List of publications on ZentralBlatt
https://mathscinet.ams.org/mathscinet/MRAuthorID/200368

Publications in Math-Net.Ru
1. Perverse schobers and birational geometry
Alexey Bondal, Mikhail Kapranov, Vadim Schechtman
Selecta Math. (N.S.), 24:1 (2018),  85–143
2. A Correction to the Paper “Hypergeometric Functions and Toric Varieties”
I. M. Gel'fand, A. V. Zelevinskii, M. M. Kapranov
Funktsional. Anal. i Prilozhen., 27:4 (1993),  91
3. Free $n$-category generated by a cube, oriented matroids, and higher Bruhat orders
V. A. Voevodskii, M. M. Kapranov
Funktsional. Anal. i Prilozhen., 25:1 (1991),  62–65
4. Discriminants of polynomials in several variables and triangulations of Newton polyhedra
I. M. Gel'fand, A. V. Zelevinskii, M. M. Kapranov
Algebra i Analiz, 2:3 (1990),  1–62
5. Mutations and serre functors on constructive bundles
M. M. Kapranov
Funktsional. Anal. i Prilozhen., 24:2 (1990),  85–86
6. Discriminants of polynomials in many variables
I. M. Gel'fand, A. V. Zelevinskii, M. M. Kapranov
Funktsional. Anal. i Prilozhen., 24:1 (1990),  1–4
7. $\infty$-Groupoids as a model for a homotopy category
V. A. Voevodskii, M. M. Kapranov
Uspekhi Mat. Nauk, 45:5(275) (1990),  183–184
8. Enhanced triangulated categories
A. I. Bondal, M. M. Kapranov
Mat. Sb., 181:5 (1990),  669–683
9. Nonholonomic $\mathcal{D}$-modules and nonconstructible perverse sheaves
M. M. Kapranov
Funktsional. Anal. i Prilozhen., 23:4 (1989),  83–84
10. Hypergeometric functions and toral manifolds
I. M. Gel'fand, A. V. Zelevinskii, M. M. Kapranov
Funktsional. Anal. i Prilozhen., 23:2 (1989),  12–26
11. Representable functors, Serre functors, and mutations
A. I. Bondal, M. M. Kapranov
Izv. Akad. Nauk SSSR Ser. Mat., 53:6 (1989),  1183–1205
12. On the derived category and $K$-functor of coherent sheaves on intersections of quadrics
M. M. Kapranov
Izv. Akad. Nauk SSSR Ser. Mat., 52:1 (1988),  186–199
13. On cuspidal divisors on the modular varieties of elliptic modules
M. M. Kapranov
Izv. Akad. Nauk SSSR Ser. Mat., 51:3 (1987),  568–583
14. The derived category of coherent sheaves on the square
M. M. Kapranov
Funktsional. Anal. i Prilozhen., 20:2 (1986),  67
15. The twistor transformation and algebraic-geometric constructions of solutions of the equations of field theory
M. M. Kapranov, Yu. I. Manin
Uspekhi Mat. Nauk, 41:5(251) (1986),  85–107
16. Iterative method for planning structural growth of large-scale systems
V. K. Akinfiev, M. M. Kapranov, A. D. Tsvirkun
Avtomat. i Telemekh., 1985, no. 8,  72–80
17. On the derived category of coherent sheaves on Grassmann manifolds
M. M. Kapranov
Izv. Akad. Nauk SSSR Ser. Mat., 48:1 (1984),  192–202
18. Derived category of coherent sheaves on Grassman manifolds
M. M. Kapranov
Funktsional. Anal. i Prilozhen., 17:2 (1983),  78–79

19. Vladimir Aleksandrovich Voevodsky (obituary)
A. A. Beilinson, A. S. Vishik, D. A. Kazhdan, M. M. Kapranov, A. S. Merkurjev, D. O. Orlov, I. A. Panin, A. A. Suslin, N. A. Tyurin, G. B. Shabat
Uspekhi Mat. Nauk, 73:3(441) (2018),  157–168

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