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## Belkale, Prakash

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 Author ID: belkale.prakash Published as: Belkale, Prakash; Belkale, P.
 Documents Indexed: 30 Publications since 2001
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#### Co-Authors

 13 single-authored 5 Gibney, Angela 4 Kumar, Shrawan 4 Mukhopadhyay, Swarnava 3 Brosnan, Patrick 2 Fakhruddin, Najmuddin 1 Kazanova, Anna 1 Kiers, Joshua 1 Mukhin, Evgeny 1 Ressayre, Nicolas 1 Varchenko, Alexander Nikolaevich
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#### Serials

 3 IMRN. International Mathematics Research Notices 2 Advances in Mathematics 2 Compositio Mathematica 2 Mathematische Annalen 2 Journal of the American Mathematical Society 2 Journal of Algebraic Geometry 2 Transformation Groups 2 Algebraic Geometry 1 Annales de l’Institut Fourier 1 Canadian Mathematical Bulletin 1 Duke Mathematical Journal 1 Inventiones Mathematicae 1 Journal of Differential Geometry 1 Mathematische Zeitschrift 1 Michigan Mathematical Journal 1 Transactions of the American Mathematical Society 1 Journal de Mathématiques Pures et Appliquées. Neuvième Série
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#### Fields

 28 Algebraic geometry (14-XX) 7 Quantum theory (81-XX) 5 Several complex variables and analytic spaces (32-XX) 4 Linear and multilinear algebra; matrix theory (15-XX) 4 Nonassociative rings and algebras (17-XX) 4 Group theory and generalizations (20-XX) 3 Combinatorics (05-XX) 2 Number theory (11-XX) 2 Topological groups, Lie groups (22-XX) 1 Ordinary differential equations (34-XX) 1 Convex and discrete geometry (52-XX) 1 Statistical mechanics, structure of matter (82-XX)

#### Citations contained in zbMATH Open

28 Publications have been cited 246 times in 146 Documents Cited by Year
Eigenvalue problem and a new product in cohomology of flag varieties. Zbl 1106.14037
Belkale, Prakash; Kumar, Shrawan
2006
Local systems on $${\mathbb{P}}^1-S$$ for $$S$$ a finite set. Zbl 1042.14031
Belkale, Prakash
2001
Matroids, motives, and a conjecture of Kontsevich. Zbl 1076.14026
Belkale, Prakash; Brosnan, Patrick
2003
The strange duality conjecture for generic curves. Zbl 1132.14028
Belkale, Prakash
2008
Geometric proofs of Horn and saturation conjectures. Zbl 1090.14014
Belkale, Prakash
2006
Quantum generalization of the Horn conjecture. Zbl 1134.14029
Belkale, Prakash
2008
Eigencone, saturation and Horn problems for symplectic and odd orthogonal groups. Zbl 1233.20040
Belkale, Prakash; Kumar, Shrawan
2010
Invariant theory of GL$$(n)$$ and intersection theory of Grassmannians. Zbl 1082.14050
Belkale, Prakash
2004
Geometric proof of a conjecture of Fulton. Zbl 1129.14063
Belkale, Prakash
2007
Periods and Igusa local zeta functions. Zbl 1067.11075
Belkale, Prakash; Brosnan, Patrick
2003
Strange duality and the Hitchin/WZW connection. Zbl 1193.14013
Belkale, Prakash
2009
Vanishing and identities of conformal blocks divisors. Zbl 1322.14081
Belkale, Prakash; Gibney, Angela; Mukhopadhyay, Swarnava
2015
Nonvanishing of conformal blocks divisors on $$\overline{\mathrm{M}}_{0,n}$$. Zbl 1395.14019
Belkale, P.; Gibney, A.; Mukhopadhyay, Swarnava
2016
The multiplicative eigenvalue problem and deformed quantum cohomology. Zbl 1329.81177
Belkale, Prakash; Kumar, Shrawan
2016
Transformation formulas in quantum cohomology. Zbl 1077.14080
Belkale, Prakash
2004
Orthogonal bundles, theta characteristics and symplectic strange duality. Zbl 1276.14048
Belkale, Prakash
2012
A generalization of Fulton’s conjecture for arbitrary groups. Zbl 1258.14008
Belkale, Prakash; Kumar, Shrawan; Ressayre, Nicolas
2012
Triviality properties of principal bundles on singular curves. Zbl 1444.14036
Belkale, Prakash; Fakhruddin, Najmuddin
2019
Scaling of conformal blocks and generalized theta functions over $$\overline{\mathcal {M}}_{g,n}$$. Zbl 1388.14079
Belkale, Prakash; Gibney, Angela; Kazanova, Anna
2016
Extremal unitary local systems on $$\mathbb P^1-{p_1,...,p_s}$$. Zbl 1133.14048
Belkale, Prakash
2007
Unitarity of the KZ/Hitchin connection on conformal blocks in genus 0 for arbitrary Lie algebras. Zbl 1277.14035
Belkale, Prakash
2012
The tangent space to an enumerative problem. Zbl 1225.14041
Belkale, Prakash
2011
Multiplicity of critical points of master functions and Schubert calculus. Zbl 1356.14042
Belkale, Prakash; Mukhin, Evgeny; Varchenko, Alexander
2007
Conformal blocks and cohomology in genus 0. (Blocs conformes et cohomologie dans le genre 0.) Zbl 1361.17023
Belkale, Prakash; Mukhopadhyay, Swarnava
2014
Extremal rays in the Hermitian eigenvalue problem for arbitrary types. Zbl 1448.14017
Belkale, P.; Kiers, J.
2020
On finite generation of the section ring of the determinant of cohomology line bundle. Zbl 1433.14027
Belkale, P.; Gibney, A.
2019
Extremal rays in the Hermitian eigenvalue problem. Zbl 1416.15030
Belkale, Prakash
2019
Triviality properties of principal bundles on singular curves. II. Zbl 1454.14093
Belkale, P.; Fakhruddin, N.
2020
Extremal rays in the Hermitian eigenvalue problem for arbitrary types. Zbl 1448.14017
Belkale, P.; Kiers, J.
2020
Triviality properties of principal bundles on singular curves. II. Zbl 1454.14093
Belkale, P.; Fakhruddin, N.
2020
Triviality properties of principal bundles on singular curves. Zbl 1444.14036
Belkale, Prakash; Fakhruddin, Najmuddin
2019
On finite generation of the section ring of the determinant of cohomology line bundle. Zbl 1433.14027
Belkale, P.; Gibney, A.
2019
Extremal rays in the Hermitian eigenvalue problem. Zbl 1416.15030
Belkale, Prakash
2019
Nonvanishing of conformal blocks divisors on $$\overline{\mathrm{M}}_{0,n}$$. Zbl 1395.14019
Belkale, P.; Gibney, A.; Mukhopadhyay, Swarnava
2016
The multiplicative eigenvalue problem and deformed quantum cohomology. Zbl 1329.81177
Belkale, Prakash; Kumar, Shrawan
2016
Scaling of conformal blocks and generalized theta functions over $$\overline{\mathcal {M}}_{g,n}$$. Zbl 1388.14079
Belkale, Prakash; Gibney, Angela; Kazanova, Anna
2016
Vanishing and identities of conformal blocks divisors. Zbl 1322.14081
Belkale, Prakash; Gibney, Angela; Mukhopadhyay, Swarnava
2015
Conformal blocks and cohomology in genus 0. (Blocs conformes et cohomologie dans le genre 0.) Zbl 1361.17023
Belkale, Prakash; Mukhopadhyay, Swarnava
2014
Orthogonal bundles, theta characteristics and symplectic strange duality. Zbl 1276.14048
Belkale, Prakash
2012
A generalization of Fulton’s conjecture for arbitrary groups. Zbl 1258.14008
Belkale, Prakash; Kumar, Shrawan; Ressayre, Nicolas
2012
Unitarity of the KZ/Hitchin connection on conformal blocks in genus 0 for arbitrary Lie algebras. Zbl 1277.14035
Belkale, Prakash
2012
The tangent space to an enumerative problem. Zbl 1225.14041
Belkale, Prakash
2011
Eigencone, saturation and Horn problems for symplectic and odd orthogonal groups. Zbl 1233.20040
Belkale, Prakash; Kumar, Shrawan
2010
Strange duality and the Hitchin/WZW connection. Zbl 1193.14013
Belkale, Prakash
2009
The strange duality conjecture for generic curves. Zbl 1132.14028
Belkale, Prakash
2008
Quantum generalization of the Horn conjecture. Zbl 1134.14029
Belkale, Prakash
2008
Geometric proof of a conjecture of Fulton. Zbl 1129.14063
Belkale, Prakash
2007
Extremal unitary local systems on $$\mathbb P^1-{p_1,...,p_s}$$. Zbl 1133.14048
Belkale, Prakash
2007
Multiplicity of critical points of master functions and Schubert calculus. Zbl 1356.14042
Belkale, Prakash; Mukhin, Evgeny; Varchenko, Alexander
2007
Eigenvalue problem and a new product in cohomology of flag varieties. Zbl 1106.14037
Belkale, Prakash; Kumar, Shrawan
2006
Geometric proofs of Horn and saturation conjectures. Zbl 1090.14014
Belkale, Prakash
2006
Invariant theory of GL$$(n)$$ and intersection theory of Grassmannians. Zbl 1082.14050
Belkale, Prakash
2004
Transformation formulas in quantum cohomology. Zbl 1077.14080
Belkale, Prakash
2004
Matroids, motives, and a conjecture of Kontsevich. Zbl 1076.14026
Belkale, Prakash; Brosnan, Patrick
2003
Periods and Igusa local zeta functions. Zbl 1067.11075
Belkale, Prakash; Brosnan, Patrick
2003
Local systems on $${\mathbb{P}}^1-S$$ for $$S$$ a finite set. Zbl 1042.14031
Belkale, Prakash
2001
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#### Cited by 165 Authors

 16 Belkale, Prakash 9 Kumar, Shrawan 9 Mukhopadhyay, Swarnava 9 Ressayre, Nicolas 6 Marcolli, Matilde 5 Oprea, Dragos 5 Richmond, Edward 4 Abe, Takeshi 4 Yong, Alexander 4 Zúñiga-Galindo, Wilson A. 3 Gibney, Angela 3 Kapovich, Michael 3 Kiers, Joshua 3 Purbhoo, Kevin 3 Sottile, Frank 3 Woodward, Christopher T. 3 Yuan, Yao 2 Bercovici, Hari 2 Berenstein, Arkady 2 Bloch, Spencer J. 2 Bocardo-Gaspar, Miriam 2 Bogner, Christian 2 Brown, Francis C. S. 2 Collins, Benoît 2 Dimitrov, Ivan P. 2 Duhr, Claude 2 Dykema, Kenneth J. 2 Falbel, Elisha 2 Kazanova, Anna 2 Li, Wing Suet 2 Marian, Alina 2 Mathai, Varghese 2 Millson, John J. 2 Mukhin, Evgeny 2 Orevkov, Stepan Yur’evich 2 Pasquier, Boris 2 Roth, Mike 2 Tarasov, Vitaly Olegovich 2 Varchenko, Alexander Nikolaevich 2 Veys, Willem 2 Weinzierl, Stefan 2 Wentworth, Richard A. 1 Abdesselam, Abdelmalek 1 Abreu, Samuel 1 Adve, Anshul 1 Albeverio, Sergio A. 1 Alekseev, Anton Yu. 1 Alexandersson, Per 1 Aluffi, Paolo 1 Anderson, Dave Edward 1 Arbesfeld, Noah 1 Beekveldt, Robert 1 Bejleri, Dori 1 Berline, Nicole 1 Biswas, Indranil 1 Borinsky, Michael 1 Boysal, Arzu 1 Britto, Ruth 1 Brosnan, Patrick 1 Brown, Merrick 1 Skovsted Buch, Anders 1 Bushek, Nathaniel 1 Carnevale, Angela 1 Casalaina-Martin, Sebastian 1 Ceyhan, Özgür 1 Chau, Hoi Fung 1 Chirivì, Rocco 1 Chowdhury, Subhadip 1 Chun, Sungbong 1 Collins, Brett 1 Crawley-Boevey, William 1 Daftuar, Sumit 1 Damiolini, Chiara 1 Dasu, Shival 1 Denham, Graham 1 Derksen, Harm 1 Doryn, Dzmitry 1 Esnault, Hélène 1 Evens, Sam 1 Fakhruddin, Najmuddin 1 Faust, Theodore 1 Fok, Chi-Kwong 1 Fulton, William 1 Gangl, Herbert 1 Gardi, Einan 1 Gille, Philippe 1 Goncharov, Alexander Borisovich 1 Göttsche, Lothar 1 Graham, William A. 1 Grégoire, Chloé 1 Gukov, Sergei 1 Gwena, Tawanda 1 Haines, Thomas J. 1 Hayden, Patrick M. 1 Hein, Georg 1 Herzog, Franz 1 Hobson, Natalie L. F. 1 Hong, Jiuzu 1 Johnson, Drew 1 King, Ronald C. ...and 65 more Authors
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#### Cited in 65 Serials

 12 Advances in Mathematics 7 Transformation Groups 6 Communications in Mathematical Physics 6 Mathematische Annalen 6 Journal of Algebraic Geometry 5 Journal of Algebra 5 Transactions of the American Mathematical Society 5 Journal of the American Mathematical Society 5 Journal of High Energy Physics 4 Letters in Mathematical Physics 4 Annales de l’Institut Fourier 4 Mathematische Zeitschrift 4 Journal of Algebraic Combinatorics 3 Journal of Geometry and Physics 3 Duke Mathematical Journal 3 Inventiones Mathematicae 3 Michigan Mathematical Journal 3 Proceedings of the American Mathematical Society 2 Journal of Mathematical Physics 2 Compositio Mathematica 2 Geometriae Dedicata 2 Journal of Number Theory 2 Manuscripta Mathematica 2 Topology and its Applications 2 Linear Algebra and its Applications 2 Bulletin of the American Mathematical Society. New Series 2 Experimental Mathematics 2 Comptes Rendus. Mathématique. Académie des Sciences, Paris 1 International Journal of Modern Physics A 1 Discrete Mathematics 1 Israel Journal of Mathematics 1 Mathematical Notes 1 Canadian Journal of Mathematics 1 Canadian Mathematical Bulletin 1 Publications Mathématiques 1 Journal of Combinatorial Theory. Series A 1 Journal of Functional Analysis 1 Journal of the London Mathematical Society. Second Series 1 Journal für die Reine und Angewandte Mathematik 1 Monatshefte für Mathematik 1 Publications of the Research Institute for Mathematical Sciences, Kyoto University 1 Advances in Applied Mathematics 1 Ergodic Theory and Dynamical Systems 1 Forum Mathematicum 1 Differential Geometry and its Applications 1 Annals of Physics 1 L’Enseignement Mathématique. 2e Série 1 Indagationes Mathematicae. New Series 1 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI 1 Computational Complexity 1 The Electronic Journal of Combinatorics 1 Journal of Lie Theory 1 Bulletin des Sciences Mathématiques 1 Journal of Inequalities and Applications 1 Algebras and Representation Theory 1 Advances in Geometry 1 International Journal of Number Theory 1 Functional Analysis and Other Mathematics 1 Groups, Geometry, and Dynamics 1 Algebra & Number Theory 1 Japanese Journal of Mathematics. 3rd Series 1 Journal of Singularities 1 $$p$$-Adic Numbers, Ultrametric Analysis, and Applications 1 Kyoto Journal of Mathematics 1 Algebraic Combinatorics
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#### Cited in 31 Fields

 99 Algebraic geometry (14-XX) 32 Quantum theory (81-XX) 26 Group theory and generalizations (20-XX) 25 Combinatorics (05-XX) 23 Nonassociative rings and algebras (17-XX) 17 Topological groups, Lie groups (22-XX) 14 Linear and multilinear algebra; matrix theory (15-XX) 12 Number theory (11-XX) 12 Associative rings and algebras (16-XX) 8 Several complex variables and analytic spaces (32-XX) 6 Differential geometry (53-XX) 4 Convex and discrete geometry (52-XX) 4 Manifolds and cell complexes (57-XX) 3 $$K$$-theory (19-XX) 3 Functional analysis (46-XX) 3 Geometry (51-XX) 3 Statistical mechanics, structure of matter (82-XX) 3 Relativity and gravitational theory (83-XX) 2 Mathematical logic and foundations (03-XX) 2 Commutative algebra (13-XX) 2 Ordinary differential equations (34-XX) 2 Operator theory (47-XX) 2 Global analysis, analysis on manifolds (58-XX) 2 Computer science (68-XX) 1 History and biography (01-XX) 1 Real functions (26-XX) 1 Functions of a complex variable (30-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Numerical analysis (65-XX) 1 Operations research, mathematical programming (90-XX)