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Kapranov, Mikhail Mikhailovich
Professor

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.

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

Publications in Math-Net.Ru Citations
2020
1. Mikhail Kapranov, Vadim Schechtman, “Contingency Tables with Variable Margins (with an Appendix by Pavel Etingof)”, SIGMA, 16 (2020), 062, 22 pp.  mathnet  isi  scopus
2018
2. Alexey Bondal, Mikhail Kapranov, Vadim Schechtman, “Perverse schobers and birational geometry”, Selecta Math. (N.S.), 24:1 (2018),  85–143  mathnet  mathscinet  isi  scopus 13
1993
3. I. M. Gel'fand, A. V. Zelevinskii, M. M. Kapranov, “A Correction to the Paper “Hypergeometric Functions and Toric Varieties””, Funktsional. Anal. i Prilozhen., 27:4 (1993),  91  mathnet  mathscinet  zmath; Funct. Anal. Appl., 27:4 (1993), 295  isi 9
1991
4. V. A. Voevodskii, M. M. Kapranov, “Free $n$-category generated by a cube, oriented matroids, and higher Bruhat orders”, Funktsional. Anal. i Prilozhen., 25:1 (1991),  62–65  mathnet  mathscinet  zmath; Funct. Anal. Appl., 25:1 (1991), 50–52  isi 51
1990
5. I. M. Gel'fand, A. V. Zelevinskii, M. M. Kapranov, “Discriminants of polynomials in several variables and triangulations of Newton polyhedra”, Algebra i Analiz, 2:3 (1990),  1–62  mathnet  mathscinet  zmath; Leningrad Math. J., 2:3 (1991), 499–505 7
6. M. M. Kapranov, “Mutations and serre functors on constructive bundles”, Funktsional. Anal. i Prilozhen., 24:2 (1990),  85–86  mathnet  mathscinet  zmath; Funct. Anal. Appl., 24:2 (1990), 155–156  isi 3
7. I. M. Gel'fand, A. V. Zelevinskii, M. M. Kapranov, “Discriminants of polynomials in many variables”, Funktsional. Anal. i Prilozhen., 24:1 (1990),  1–4  mathnet  mathscinet  zmath; Funct. Anal. Appl., 24:1 (1990), 1–4  isi 6
8. V. A. Voevodskii, M. M. Kapranov, “$\infty$-Groupoids as a model for a homotopy category”, Uspekhi Mat. Nauk, 45:5(275) (1990),  183–184  mathnet  mathscinet  zmath; Russian Math. Surveys, 45:5 (1990), 239–240  isi 1
9. A. I. Bondal, M. M. Kapranov, “Enhanced triangulated categories”, Mat. Sb., 181:5 (1990),  669–683  mathnet  mathscinet  zmath; Math. USSR-Sb., 70:1 (1991), 93–107  isi 173
1989
10. I. M. Gel'fand, A. V. Zelevinskii, M. M. Kapranov, “Newton polyhedra of principal $A$-determinants”, Dokl. Akad. Nauk SSSR, 308:1 (1989),  20–23  mathnet  mathscinet  zmath; Dokl. Math., 40:2 (1990), 278–281 1
11. I. M. Gel'fand, A. V. Zelevinskii, M. M. Kapranov, “$A$-discriminants and Cayley–Koszul complexes”, Dokl. Akad. Nauk SSSR, 307:6 (1989),  1307–1311  mathnet  mathscinet  zmath; Dokl. Math., 40:1 (1990), 239–243 1
12. I. M. Gel'fand, A. V. Zelevinskii, M. M. Kapranov, “Projective-dual varieties and hyperdeterminants”, Dokl. Akad. Nauk SSSR, 305:6 (1989),  1294–1298  mathnet  mathscinet  zmath; Dokl. Math., 39:2 (1989), 385–389 1
13. M. M. Kapranov, “Nonholonomic $\mathcal{D}$-modules and nonconstructible perverse sheaves”, Funktsional. Anal. i Prilozhen., 23:4 (1989),  83–84  mathnet  mathscinet  zmath; Funct. Anal. Appl., 23:4 (1989), 325–326  isi
14. I. M. Gel'fand, A. V. Zelevinskii, M. M. Kapranov, “Hypergeometric functions and toral manifolds”, Funktsional. Anal. i Prilozhen., 23:2 (1989),  12–26  mathnet  mathscinet  zmath; Funct. Anal. Appl., 23:2 (1989), 94–106  isi 141
15. A. I. Bondal, M. M. Kapranov, “Representable functors, Serre functors, and mutations”, Izv. Akad. Nauk SSSR Ser. Mat., 53:6 (1989),  1183–1205  mathnet  mathscinet  zmath; Math. USSR-Izv., 35:3 (1990), 519–541  isi  scopus 152
1988
16. I. M. Gel'fand, A. V. Zelevinskii, M. M. Kapranov, “Equations of hypergeometric type and Newton polyhedra”, Dokl. Akad. Nauk SSSR, 300:3 (1988),  529–534  mathnet  mathscinet  zmath; Dokl. Math., 37:3 (1988), 678–682 4
17. M. M. Kapranov, “On the derived category and $K$-functor of coherent sheaves on intersections of quadrics”, Izv. Akad. Nauk SSSR Ser. Mat., 52:1 (1988),  186–199  mathnet  mathscinet  zmath; Math. USSR-Izv., 32:1 (1989), 191–204 11
1987
18. M. M. Kapranov, “On cuspidal divisors on the modular varieties of elliptic modules”, Izv. Akad. Nauk SSSR Ser. Mat., 51:3 (1987),  568–583  mathnet  mathscinet  zmath; Math. USSR-Izv., 30:3 (1988), 533–547 4
1986
19. M. M. Kapranov, “The derived category of coherent sheaves on the square”, Funktsional. Anal. i Prilozhen., 20:2 (1986),  67  mathnet  mathscinet  zmath; Funct. Anal. Appl., 20:2 (1986), 141–142  isi 23
20. M. M. Kapranov, Yu. I. Manin, “The twistor transformation and algebraic-geometric constructions of solutions of the equations of field theory”, Uspekhi Mat. Nauk, 41:5(251) (1986),  85–107  mathnet  mathscinet  zmath; Russian Math. Surveys, 41:5 (1986), 33–61  isi 4
1985
21. V. K. Akinfiev, M. M. Kapranov, A. D. Tsvirkun, “Iterative method for planning structural growth of large-scale systems”, Avtomat. i Telemekh., 1985, no. 8,  72–80  mathnet  zmath; Autom. Remote Control, 46 (1985), 986–993 1
1984
22. M. M. Kapranov, “On the derived category of coherent sheaves on Grassmann manifolds”, Izv. Akad. Nauk SSSR Ser. Mat., 48:1 (1984),  192–202  mathnet  mathscinet  zmath; Math. USSR-Izv., 24:1 (1985), 183–192 37
1983
23. M. M. Kapranov, “Derived category of coherent sheaves on Grassman manifolds”, Funktsional. Anal. i Prilozhen., 17:2 (1983),  78–79  mathnet  mathscinet  zmath; Funct. Anal. Appl., 17:2 (1983), 145–146  isi 12
2018
24. 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, “Vladimir Aleksandrovich Voevodsky (obituary)”, Uspekhi Mat. Nauk, 73:3(441) (2018),  157–168  mathnet  mathscinet  zmath  elib; Russian Math. Surveys, 73:3 (2018), 519–531  isi

Presentations in Math-Net.Ru
1. Euler continuants, $N$-spherical functors and periodic semi-orthogonal decompositions
M. M. Kapranov
Conference in honour of Alexey Bondal's 60th birthday
December 15, 2021 11:00   

Organisations
 
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