Shrawan Kumar
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Indian mathematician
Shrawan Kumar 's AcademicInfluence.com Rankings
Shrawan Kumar mathematics Degrees
Mathematics
#3923
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#5670
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#1400
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Group Theory
#217
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#257
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#45
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Number Theory
#332
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#413
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#55
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Algebra
#552
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#731
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#100
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Mathematics
Shrawan Kumar 's Degrees
- Bachelors Mathematics Delhi University
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Why Is Shrawan Kumar Influential?
(Suggest an Edit or Addition)According to Wikipedia, Shrawan Kumar is the John R. and Louise S. Parker distinguished professor of mathematics at the University of North Carolina at Chapel Hill. He has written two books: Kac-Moody groups, their flag varieties, and representation theory and Frobenius splitting methods in geometry and representation theory .
Shrawan Kumar '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
- Kac-Moody Groups, their Flag Varieties and Representation Theory (2002) (823)
- Frobenius splitting methods in geometry and representation theory (2004) (420)
- Differential Geometry and its Applications (2007) (161)
- Demazure character formula in arbitrary Kac-Moody setting (1987) (159)
- Eigenvalue problem and a new product in cohomology of flag varieties (2004) (117)
- Their flag varieties and representation theory (2002) (113)
- Proof of the Parthasarathy-Ranga Rao-Varadarajan conjecture (1988) (102)
- Frobenius splitting of cotangent bundles of flag varieties (1998) (87)
- Picard group of the moduli spaces of G-bundles (1995) (70)
- Tensor Product Decomposition (2011) (60)
- Infinite Grassmannians and moduli spaces ofG-bundles (1994) (53)
- EIGENCONE, SATURATION AND HORN PROBLEMS FOR SYMPLECTIC AND ODD ORTHOGONAL GROUPS (2007) (37)
- The nil Hecke ring and singularity of Schubert varieties (1995) (36)
- Γ-EQUIVARIANT ^-THEORY OF GENERALIZED FLAG VARIETIES (2008) (35)
- A refinement of the PRV conjecture (1989) (32)
- On Positivity in T-Equivariant K-Theory of Flag Varieties (2008) (32)
- Finiteness of the number of compatibly-split subvarieties (2009) (31)
- T-equivariant K-theory of generalized flag varieties (1987) (30)
- A study of the representations supported by the orbit closure of the determinant (2011) (29)
- Vector Bundles on Curves — New Directions (1997) (28)
- The generalized triangle inequalities for rank 3 symmetric spaces of noncompact type. (2003) (28)
- A SURVEY OF THE ADDITIVE EIGENVALUE PROBLEM (2014) (27)
- Algebraization of Frobenius splitting via quantum groups (2000) (24)
- A generalization of Fulton’s conjecture for arbitrary groups (2010) (23)
- Characters of simplylaced nonconnected groups versus characters of nonsimplylaced connected groups (2007) (22)
- Geometry of orbits of permanents and determinants (2010) (22)
- The Eigencone and Saturation for Spin(8) (2009) (20)
- Geometry of schubert cells and cohomology of Kac-Moody Lie-Algebras (1984) (20)
- Positivity in $T$-equivariant $K$-theory of flag varieties associated to Kac-Moody groups II (2012) (19)
- PROOF OF WAHL'S CONJECTURE ON SURJECTIVITY OF THE GAUSSIAN MAP FOR FLAG VARIETIES (1992) (19)
- Extension of the Category Og and a Vanishing Theorem for the Ext Functor for Kac-Moody Algebras (1987) (18)
- The multiplicative eigenvalue problem and deformed quantum cohomology (2013) (18)
- Dimension of zero weight space: An algebro-geometric approach (2013) (18)
- A SURVEY OF THE ADDITIVE EIGENVALUE PROBLEM (WITH APPENDIX BY M. KAPOVICH) (2014) (17)
- Frobenius splitting in characteristic zero and the quantum Frobenius map (2000) (17)
- Descent of Line Bundles to Git Quotients of Flag Varieties by Maximal Torus (2007) (17)
- Rational Homotopy Theory of Flag Varieties Associated to Kac-Moody Groups (1985) (16)
- Richardson Varieties Have Kawamata Log Terminal Singularities (2012) (16)
- Bernstein-Gelfand-Gelfand resolution for arbitrary Kac-Moody algebras (1990) (14)
- Induction functor in noncommutative equivariant cohomology and Dirac cohomology (2003) (14)
- Toward Proof of Lusztig′s Conjecture Concerning Negative Level Representations of Affine Lie Algebras (1994) (14)
- An algebro-geometric realization of equivariant cohomology of some Springer fibers (2011) (13)
- Positivity of the Cup Product in Cohomology of Flag Varieties Associated to Kac-Moody Groups (1998) (13)
- The Nil Hecke Ring and Cohomology of (2003) (13)
- Elliptic classes of Schubert varieties (2019) (12)
- In nite Grassmannians and moduli spaces of G-bundles (1994) (11)
- Connections between conjectures of Alon-Tarsi, Hadamard-Howe, and integrals over the special unitary group (2014) (11)
- On the Cachazo-Douglas-Seiberg-Witten conjecture for simple Lie algebras (2004) (11)
- Frobenius splitting of Hilbert schemes of points on surfaces (1999) (11)
- Equivariant cohomology with generalized coefficients (2019) (10)
- A conjectural presentation of fusion algebras (2008) (9)
- Shapovalov determinant for restricted and quantized restricted enveloping algebras (1997) (9)
- Conformal blocks for Galois covers of algebraic curves (2018) (9)
- A new geometric invariant associated to the space of flat connections (1990) (9)
- Conformal Blocks, Generalized Theta Functions and the Verlinde Formula (2021) (9)
- A remark on universal connections (1982) (8)
- A study of saturated tensor cone for symmetrizable Kac–Moody algebras (2013) (8)
- Special Isogenies and Tensor Product Multiplicities (2007) (8)
- Equivariant Cohomology with Generalised Coeecients (1993) (7)
- A homology vanishing theorem for Kac-Moody algebras with coefficients in the category O (1986) (7)
- Explicit determination of the Picard group of moduli spaces of semistable G-bundles on curves (2004) (7)
- Homology of certain truncated Lie algebras (1999) (6)
- The nil Hecke ring and singularity of Schubert varieties (1996) (5)
- Saturation and Irredundancy for Spin(8) (2006) (5)
- Equivariant Analogue of Grothendieck’s Theorem for Vector Bundles on ℙ 1 (2003) (4)
- Finiteness of local fundamental groups for quotients of affine varieties under reductive groups (1993) (4)
- A generalization of Cachazo–Douglas–Seiberg–Witten conjecture for symmetric spaces (2008) (4)
- Radau Quadrature for an Almost Quasi-Hermite-Fejer-Type Interpolation in Rational Spaces (2021) (3)
- Hitchin's conjecture for simply-laced Lie algebras implies that for any simple Lie algebra (2013) (3)
- Additive Eigenvalue Problem (a survey), (With appendix by M. Kapovich) (2013) (3)
- Fusion Product of Positive Level Representations and Lie Algebra Homology (2021) (3)
- On the faces of the tensor cone of symmetrizable Kac-Moody lie algebras. (2019) (2)
- Additive Eigenvalue Problem (2015) (2)
- Symmetric and exterior powers of homogeneous vector bundles (1994) (2)
- COMPONENTS OF V (ρ) ⊗ V (ρ) (2017) (2)
- A conjectural generalization of the n! result to arbitrary groups (2002) (2)
- A new realization of the cohomology of Springer fibers (2002) (2)
- Conjectural Positivity of Chern–Schwartz–MacPherson Classes for Richardson Cells (2022) (2)
- Root components for tensor product of affine Kac-Moody Lie algebra modules (2021) (2)
- A generalization of the conner conjecture and topology of Stein spaces dominated by Cn (1986) (2)
- Enveloping Algebras and Geometric Representation Theory (2005) (1)
- A $G$-minimal model for principal $G$-bundles (1982) (1)
- An approach towards the Kollar-Peskine problem via the Instanton Moduli Space (2012) (1)
- Topology of Kac-Moody Groups and Their Flag Varieties (2002) (1)
- Weyl group representations on zero weight spaces (2014) (1)
- RATIONAL PÁL TYPE (0, 1; 0)-INTERPOLATION AND QUADRATURE FORMULA WITH CHEBYSHEV–MARKOV FRACTIONS (2021) (1)
- Representation ring of Levi subgroups versus cohomology ring of flag varieties (2015) (1)
- Twisted conformal blocks and their dimension (2022) (1)
- EQUIVARIANT K-THEORY OF FLAG VARIETIES (2012) (1)
- Lie algebra cohomology of the positive part of twisted affine Lie algebras (2023) (1)
- A COMPLETE SET OF INTERTWINERS FOR ARBITRARY TENSOR PRODUCT REPRESENTATIONS VIA CURRENT ALGEBRAS (2016) (1)
- Components of $V(\rho) \otimes V(\rho)$ and dominant weight polyhedra for affine Kac-Moody Lie algebras (2022) (0)
- Laudatio of Bertram Kostant (2017) (0)
- Defining Equations of G/P and Conjugacy Theorems (2002) (0)
- A study of saturated tensor cone for symmetrizable Kac–Moody algebras (2014) (0)
- Components of V(\rho)\otimes V(\rho) (2015) (0)
- A generalization of Fulton’s conjecture for arbitrary groups (2011) (0)
- An Introduction to Affine Kac Moody Lie Algebras and Groups (2002) (0)
- Components of V(\rho)⊗V(\rho) (2015) (0)
- Kumar Positivity in T-equivariant K-theory of flag varieties associated to Kac – (2017) (0)
- Subalgebra generated by ad-locally nilpotent elements of Borcherds Generalized Kac-Moody Lie algebras (2021) (0)
- Vector bundles on curves, new directions : lectures given at the 3rd Session of the Centro Internazionale Matematico Estivo (C.I.M.E.) held in Cetraro (Cosenza), Italy, June 19-27, 1995 (1997) (0)
- Generalized Flag Varieties of Kac-Moody Groups (2002) (0)
- Demazure and Weyl-Kac Character Formulas (2002) (0)
- Category ${\mathscr{C}}_{k}$ of multi-loop algebra representations versus modular representations: Questions of G. Lusztig (2022) (0)
- Equivariant analogue of Grothendieck's theorem for vector bundles on $\Bbb{P}^1$ (2003) (0)
- INTERNATIONAL JOURNAL OF PURE AND APPLIED RESEARCH IN ENGINEERING AND TECHNOLOGY (2015) (0)
- Elliptic classes of Schubert varieties (2020) (0)
- RADAU QUADRATURE FOR A RATIONAL ALMOST QUASI-HERMITE-FEJÉR-TYPE INTERPOLATION (2022) (0)
- Non-representability of cohomology classes by bi-invariant forms (gauge and Kac-Moody groups) (1986) (0)
- Eigenvalue problem for Hermitian matrices and its generalization to arbitrary reductive groups (2011) (0)
- Some new formulations and generalizations of n! conjecture to arbitrary groups (2002) (0)
- An Introduction to ind-Varieties and pro-Groups (2002) (0)
- A COMPLETE SET OF INTERTWINERS FOR ARBITRARY TENSOR PRODUCT REPRESENTATIONS VIA CURRENT ALGEBRAS (2017) (0)
- problem via the Instanton Moduli Space (2013) (0)
- Lie Algebra Homology and Cohomology (2002) (0)
- BGG and Kempf Resolutions (2002) (0)
- Newton’s Algorithms (2003) (0)
- Ju n 20 07 Special Isogenies and Tensor Product Multiplicities (2021) (0)
- Representation ring of Levi subgroups versus cohomology ring of flag varieties (2015) (0)
- Smoothness and Rational Smoothness of Schubert Varieties (2002) (0)
- Ju l 2 00 6 SATURATION AND IRREDUNDANCY FOR SPIN ( 8 ) (2019) (0)
- Representation Theory of Kac-Moody Algebras (2002) (0)
- A SURVEY OF THE ADDITIVE EIGENVALUE PROBLEM (WITH APPENDIX BY M. KAPOVICH) (2014) (0)
- COMPONENTS OF V (ρ) ⊗ V (ρ) (2016) (0)
- Positivity in $T$-Equivariant $K$-theory of partial flag varieties associated to Kac-Moody groups (2023) (0)
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