Mikhail Kapranov
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Russian mathematician
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Mikhail Kapranovmathematics Degrees
Mathematics
#1488
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#2435
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Algebraic Geometry
#75
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#79
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Measure Theory
#2028
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#2459
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Mathematics
Mikhail Kapranov's Degrees
- PhD Mathematics Moscow State University
Why Is Mikhail Kapranov Influential?
(Suggest an Edit or Addition)According to Wikipedia, Mikhail Kapranov, is a Russian mathematician, specializing in algebraic geometry, representation theory, mathematical physics, and category theory. He is currently a professor of the Kavli Institute for the Physics and Mathematics of the Universe at the University of Tokyo.
Mikhail Kapranov's Published Works
Number of citations in a given year to any of this author's works
Total number of citations to an author for the works they published in a given year. This highlights publication of the most important work(s) by the author
Published Works
- Discriminants, Resultants, and Multidimensional Determinants (1994) (2273)
- Koszul duality for Operads (1994) (842)
- On the derived categories of coherent sheaves on some homogeneous spaces (1988) (350)
- ENHANCED TRIANGULATED CATEGORIES (1991) (346)
- Non-archimedean amoebas and tropical varieties (2004) (336)
- 2-Categories and Zamolodchikov tetrahedra equations (1994) (280)
- REPRESENTABLE FUNCTORS, SERRE FUNCTORS, AND MUTATIONS (1990) (271)
- Generalized Euler integrals and A-hypergeometric functions (1990) (271)
- Cyclic Operads and Cyclic Homology (1995) (204)
- Chow quotients of Grassmannian I (1992) (201)
- Hypergeometric functions and toral manifolds (1989) (190)
- Rozansky–Witten invariants via Atiyah classes (1997) (189)
- The elliptic curve in the S-duality theory and Eisenstein series for Kac-Moody groups (2000) (180)
- Kleinian singularities, derived categories and Hall algebras (1998) (180)
- Geometry and Dynamics of Groups and Spaces (2008) (160)
- Derived quot schemes (1999) (146)
- The permutoassociahedron, Mac Lane's coherence theorem and asymptotic zones for the KZ equation (1993) (142)
- Langlands Reciprocity for Algebraic Surfaces (1995) (135)
- Quotients of toric varieties (1991) (131)
- Chow polytopes and general resultants (1992) (126)
- On the q-analog of homological algebra (1996) (116)
- Eisenstein series and quantum affine algebras (1996) (108)
- A characterization ofA-discriminantal hypersurfaces in terms of the logarithmic Gauss map (1991) (101)
- Higher Segal Spaces (2012) (101)
- Noncommutative geometry based on commutator expansions (1998) (97)
- Modules and Morita theorem for operads (1999) (96)
- Combinatorial-geometric aspects of polycategory theory : pasting schemes and higher Bruhat orders (list of results) (1991) (89)
- Virtual fundamental classes via dg-manifolds (2007) (88)
- Arrangements of hyperplanes and vector bundles on $P^n$ (1992) (85)
- Vertex algebras and the formal loop space (2001) (83)
- Braided monoidal 2-categories and Manin-Schechtman higher braid groups (1994) (81)
- Cellular strings on polytopes (1994) (78)
- ON THE DERIVED CATEGORY OF COHERENT SHEAVES ON GRASSMANN MANIFOLDS (1985) (75)
- Representation and character theory in 2-categories (2006) (74)
- Elliptic Algebras and Equivariant Elliptic Cohomology (1995) (74)
- Heisenberg doubles and derived categories. (1997) (70)
- Triangulated surfaces in triangulated categories (2013) (63)
- Derived Hilbert schemes (2000) (63)
- Analogies between the Langlands Correspondence and Topological Quantum Field Theory (1995) (60)
- Free n-category generated by a cube, oriented matroids, and higher Bruhat orders (1991) (59)
- The Gauss map and a noncompact Riemann-Roch formula for constructible sheaves on semiabelian varieties (1999) (56)
- On DG-modules over the de rham complex and the vanishing cycles functor (1991) (54)
- Double affine Hecke algebras and 2-dimensional local fields (1998) (49)
- Newton polytopes of the classical resultant and discriminant (1990) (46)
- Injective resolutions of BG and derived moduli spaces of local systems (1997) (46)
- Perverse sheaves over real hyperplane arrangements (2014) (45)
- Free Lie algebroids and the space of paths (2007) (44)
- Residue Construction of Hecke Algebras (1995) (38)
- Perverse Schobers (2014) (35)
- Semiinfinite symmetric powers (2001) (34)
- Crossed simplicial groups and structured surfaces (2014) (33)
- SYMMETRIC AND EXTERIOR POWERS OF CATEGORIES (2011) (32)
- The cohomological Hall algebra of a surface and factorization cohomology (2019) (32)
- Higher Category Theory (1998) (31)
- A correction to the paper “hypergeometric functions and toric varieties” (1993) (28)
- The derived category of coherent sheaves on the square (1986) (27)
- Microlocal sheaves and quiver varieties (2015) (26)
- Perverse schobers and birational geometry (2018) (26)
- ON THE DERIVED CATEGORY AND K-FUNCTOR OF COHERENT SHEAVES ON INTERSECTIONS OF QUADRICS (1989) (25)
- Formal loops II: A local Riemann–Roch theorem for determinantal gerbes (2005) (24)
- ON CUSPIDAL DIVISORS ON THE MODULAR VARIETIES OF ELLIPTIC MODULES (1988) (23)
- HYPERGEOMETRIC FUNCTIONS, TORIC VARIETIES AND NEWTON POLYHEDRA (1991) (22)
- Algebra of the infrared and secondary polytopes (2014) (21)
- Thermodynamics and the moment map (2011) (20)
- Hypergeometric functions on reductive groups (1997) (20)
- Derived category of coherent sheaves on Grassman manifolds (1983) (19)
- The Hall algebra of a curve (2012) (19)
- $\infty $-groupoids and homotopy types (1991) (18)
- Book Review: Gröbner deformations of hypergeometric\linebreak[1] differential equations (2001) (18)
- Hidden Stasheff polytopes in algebraic K-theory and in the space of Morse functions. (1999) (17)
- Formal loops IV: Chiral differential operators (2006) (17)
- Higher Kac–Moody algebras and moduli spaces of G-bundles (2017) (17)
- Supersymmetry and the formal loop space (2010) (14)
- Perverse sheaves and graphs on surfaces (2016) (13)
- Toric arc schemes and quantum cohomology of toric varieties (2004) (12)
- Erratum to “Koszul duality for operads,” vol. 76 (1994) pp. 203–272 (1995) (11)
- Discriminants of polynomials in many variables (1990) (11)
- Noncommutative Geometry and Path Integrals (2006) (11)
- Shuffle algebras and perverse sheaves (2019) (10)
- Supergeometry in Mathematics and Physics (2015) (10)
- The twistor transformation and algebraic-geometric constructions of solutions of the equations of field theory (1986) (9)
- Discriminants and Resultants for Forms in Several Variables (1994) (9)
- Helices and Vector Bundles: Seminaire Rudakov: Homogeneous Bundles (1990) (8)
- Geometry and dynamics of groups and spaces :: in memory of Alexander Reznikov (2008) (8)
- Gelfand-Fuchs cohomology in algebraic geometry and factorization algebras (2018) (8)
- Riemann–Roch for Real Varieties (2006) (8)
- On the Dimension and Degree of the Projective Dual Variety: A q-Analog of the Katz-Kleiman Formula (1993) (7)
- Real mixed Hodge structures (2008) (7)
- Spherical adjunctions of stable $\infty$-categories and the relative S-construction (2021) (7)
- Formal loops III: Additive functions and the Radon transform (2008) (5)
- Schur quadrics, cubic surfaces and rank 2 vector bundles over the projective plane (1993) (5)
- Perverse schobers and the Algebra of the Infrared (2020) (5)
- The spherical Hall algebra of Spec(Z) (2012) (4)
- Formal loops III: Factorizing functions and the Radon transform (2005) (4)
- Mutations and serre functors on constructive bundles (1990) (4)
- Membranes and higher groupoids (2015) (3)
- Principal A-Determinants (1994) (3)
- Parabolic induction and perverse sheaves on W﹨h (2020) (3)
- Harmonic analysis on algebraic groups over two-dimensional local fields of equal characteristic (2000) (3)
- COMMUNICATIONS OF THE MOSCOW MATHEMATICAL SOCIETY: 8-Groupoids as a model for a homotopy category (1990) (2)
- Contingency Tables with Variable Margins (with an Appendix by Pavel Etingof) (2020) (2)
- A Higher-Dimensional Generalization of the Goss Zeta Function (1995) (2)
- Perverse sheaves on Riemann surfaces as Milnor sheaves (2020) (2)
- Derived varieties of complexes and Kostant’s theorem for gl(m|n) (2015) (2)
- Contingency tables with variable margins (2019) (1)
- Infinite-dimensional (dg) Lie algebras and factorization algebras in algebraic geometry (2021) (1)
- Perverse Sheaves over Real Hyperplane Arrangements II (2019) (1)
- Discriminants and Resultants for Polynomials in One Variable (1994) (1)
- A-Resultants and Chow Polytopes of Toric Varieties (1994) (1)
- Triangulations and Secondary Polytopes (1994) (1)
- Invitation to higher local fields, Part II, section 5: Harmonic analysis on algebraic groups over tw (2000) (1)
- Conformal maps in higher dimensions and derived geometry (2021) (1)
- The Cayley Method for Studying Discriminants (1994) (0)
- Hall (∞, 2)-Categories (2019) (0)
- An (∞, 2)-Categorical Theory of Spans (2019) (0)
- ON THE DUALS OF SEGRE VARIETIES (2002) (0)
- Model Categories and Bousfield Localization (2019) (0)
- The Path Space Criterion for 2-Segal Spaces (2019) (0)
- Regular A-Determinants and A-Discriminants (1994) (0)
- K T ] 2 2 Fe b 20 06 REPRESENTATION AND CHARACTER THEORY IN 2-CATEGORIES (2007) (0)
- References [1] V. A. Voevodskiĭ. Galois group Gal ( ¯ Q/Q) and Teihmuller modular groups. In Proc. (2010) (0)
- Complete complexes and spectral sequences (2017) (0)
- Associated Varieties and General Resultants (1994) (0)
- Newton Polytopes and Chow Polytopes (1994) (0)
- Hidden Stashe polytopes in algebraic K-theory and inthe space of Morse functionsMikhail (1997) (0)
- Preliminaries (1991) (0)
- 2-Segal Spaces as Monads in Bispans (2019) (0)
- Higher category theory : Workshop on Higher Category Theory and Physics, March 28-30, 1997, Northwestern University, Evanston, IL (1998) (0)
- PROJECTIVE BUNDLES, MONOIDAL TRANSFORMATIONS, AND DERIVED CATEGORIES OF COHERENT SHEAVES (2017) (0)
- The 1-Segal and 2-Segal Model Structures (2019) (0)
- PROBs and perverse sheaves II. Ran spaces and 0-cycles with coefficients (2022) (0)
- Projective Dual Varieties and General Discriminants (1994) (0)
- Fourier transform on hyperplane arrangements (2017) (0)
- 2-Segal Spaces from Higher Categories (2019) (0)
- Derived Varieties of Complexes and Kostant’s Theorem for $$\mathfrak{gl}(\mathrm{m}|\mathrm{n})$$ (2017) (0)
- Topological 1-Segal and 2-Segal Spaces (2019) (0)
- Spherical Hall Algebra of \overline{\text{Spec }(\mathbb{Z})} (2014) (0)
- A G ] 2 7 M ay 1 99 9 DERIVED QUOT SCHEMES (2008) (0)
- A G ] 2 2 Ja n 20 05 NON-ARCHIMEDEAN AMOEBAS AND TROPICAL VARIETIES (2019) (0)
- Perverse schobers and birational geometry (2018) (0)
- NonholonomicD-modules and nonconstructible perverse sheaves (1989) (0)
- Vladimir Aleksandrovich Voevodsky (2018) (0)
- Hall Algebras Associated to 2-Segal Spaces (2019) (0)
- PROBs and perverse sheaves I. Symmetric products (2021) (0)
- K T ] 1 6 O ct 2 00 7 REPRESENTATION AND CHARACTER THEORY IN 2-CATEGORIES (2020) (0)
- The Hall algebra of a curve (2016) (0)
- Infinite-dimensional (dg) Lie algebras and factorization algebras in algebraic geometry (2021) (0)
- Discrete 2-Segal Spaces (2019) (0)
- SYMMETRIC AND EXTERIOR POWERS OF CATEGORIES (2014) (0)
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