Chandrashekhar Khare

Q: What Schools Are Affiliated With Chandrashekhar Khare

Chandrashekhar Khare is affiliated with the following schools: California Institute of Technology, University of Strasbourg, University of California, Los Angeles, Princeton University, University of Mumbai, University of Utah

Chandrashekhar Khare's AcademicInfluence.com Rankings

Mathematics

#957

World Rank

#1662

Historical Rank

#417

USA Rank

Number Theory

#63

World Rank

#93

Historical Rank

#15

USA Rank

Algebraic Geometry

#160

World Rank

#167

Historical Rank

#40

USA Rank

Measure Theory

#4442

World Rank

#5217

Historical Rank

#1236

USA Rank

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Mathematics

Chandrashekhar Khare's Degrees

Bachelors Mathematics University of Mumbai

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Why Is Chandrashekhar Khare Influential?

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According to Wikipedia, Chandrashekhar B. Khare is a professor of mathematics at the University of California Los Angeles. In 2005, he made a major advance in the field of Galois representations and number theory by proving the level 1 Serre conjecture, and later a proof of the full conjecture with Jean-Pierre Wintenberger. He has been on the Mathematical Sciences jury for the Infosys Prize from 2015, serving as Jury Chair from 2020.

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Chandrashekhar Khare'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

Serre's Modularity Conjecture (2011) (262)
Serre's modularity conjecture: The level one case (2006) (81)
On Serre's conjecture for 2-dimensional mod p representations of Gal( Q=Q) (2009) (70)
Functoriality and the inverse Galois problem (2006) (46)
On isomorphisms between deformation rings and Hecke rings (2002) (40)
Potential Automorphy and the Leopoldt conjecture (2014) (39)
$\hat{G}$-local systems on smooth projective curves are potentially automorphic (2016) (36)
Finiteness of Selmer groups and deformation rings (2002) (28)
Level 1 Hecke algebras of modular forms modulo $p$ (2014) (25)
Mod ` representations of arithmetic fundamental groups II ( A conjecture of A (2003) (24)
Reduction of homomorphisms mod p and algebraicity (2002) (24)
Constructing semisimple p-adic Galois representations with prescribed properties (2003) (24)
On Serre's reciprocity conjecture for 2-dimensional mod p representations of the Galois group of Q (2004) (23)
Compatible systems of mod $p$ Galois representations and Hecke characters (2003) (23)
Remarks on mod p forms of weight one (1997) (22)
Mod $\ell$ representations of arithmetic fundamental groups II: A conjecture of A. J. de Jong (2003) (20)
The density of Ramified primes in semisimple p-adic Galois representations (2000) (19)
A local analysis of congruences in the (p,p) case: Part II (2001) (17)
Congruences between cusp forms: the $(p,p)$ case (1995) (16)
Base Change, Lifting, and Serre's Conjecture☆ (1997) (15)
Functoriality and the Inverse Galois problem II: groups of type B_n and G_2 (2008) (15)
Hasse invariant and group cohomology (2002) (14)
Modularity of Galois representations and motives with good reduction properties (2007) (14)
A Local Analysis of Congruences in the (p, p) Case: Part I (1998) (14)
Relative deformation theory and lifting irreducible Galois representations. (2019) (13)
L -functions and Galois Representations: Serre's modularity conjecture: a survey of the level one case (2007) (13)
Serre’s conjecture and its consequences (2010) (12)
On Serre's modularity conjecture for 2-dimensional mod p representations of G_Q unramified outside p (2005) (11)
Transcendental $\ell$-adic Galois representations (2004) (10)
Modularity of p-adic Galois representations via p-adic approximations (2002) (10)
Reciprocity Law for Compatible Systems of Abelian mod $p$ Galois Representations (2003) (10)
Converging sequences of p-adic Galois representations and density theorems (2004) (9)
Wieferich Primes and a mod $p$ Leopoldt Conjecture (2018) (9)
LIFTING TORSION GALOIS REPRESENTATIONS (2014) (9)
Limits of residually irreducible p-adic Galois representations (2002) (9)
Compatible systems of mod p Galois representations II (2002) (9)
Relative deformation theory, relative Selmer groups, and lifting irreducible Galois representations (2019) (8)
Ramification in Iwasawa Theory and Splitting Conjectures (2014) (8)
On Serre's reciprocity conjecture for 2-dimensional mod p representations of Gal(Q/Q) (2009) (6)
Mod $\mathbf p$ Descent for Hilbert Modular Forms (2000) (6)
MOD p DESCENT FOR HILBERT MODULAR FORMS (2004) (6)
Automorphy of some residually $$S_5$$S5 Galois representations (2015) (6)
Mod ℓ representations of arithmetic fundamental groups, I: An analog of Serre's conjecture for function fields (2005) (6)
Abelian varieties with isogenous reductions (2020) (5)
Lifting irreducible Galois representations (2018) (5)
Extending local representations to global representations (1996) (5)
Wiles defect for Hecke algebras that are not complete intersections (2019) (4)
Quantitative level lowering for Galois representations (2019) (4)
Lifting and automorphy of reducible mod p Galois representations over global fields (2020) (4)
Mod pq Galois representations and Serre's conjecture (2002) (4)
Ramification in Iwasawa modules (2010) (4)
Cyclic base change of cuspidal automorphic representations over function fields (2022) (4)
On the Steinitz module and capitulation of ideals (2000) (4)
Wiles defect of Hecke algebras via local-global arguments (2021) (3)
On the Local Langlands Correspondence mod ℓ (2001) (3)
A local Langlands parameterization for generic supercuspidal representations of $p$-adic $G_2$ (2019) (3)
A freeness criterion without patching for modules over local rings (2020) (3)
Liftable groups, negligible cohomology and Heisenberg representations (2020) (3)
F-split galois representations are potentially abelian (2002) (2)
Lifting $G$-irreducible but $\mathrm{GL}_n$-reducible Galois representations (2019) (2)
Congruences between cusp forms (1995) (2)
Maps between Jacobians of Modular Curves (1997) (2)
Wiles defect for modules and criteria for freeness (2021) (2)
Reduction of abstract homomorphisms of lattices mod p and rigidity (2002) (2)
Belyi parametrisations of elliptic curves and congruence defects (2002) (2)
A pr 2 00 4 Mod l representations of arithmetic fundamental groups I ( An analog of Serre ’ s conjecture for function fields ) (2004) (2)
On the local Langlands correspondence mod ell (2000) (2)
Splitting fields of $X^n-X-1$ (particularly for $n=5$), prime decomposition and modular forms (2022) (1)
Multiplicities of mod p Galois representations (1998) (1)
Lifting and modularity of reducible mod p Galois representations (2020) (1)
On Heegner points of large conductors (2000) (1)
Jean-Pierre Wintenberger (2020) (1)
Correction to “Congruences between cusp forms: The $(p,p)$ case” (1996) (1)
Congruence modules and the Wiles-Lenstra-Diamond numerical criterion in higher codimensions (2022) (1)
O ct 2 00 1 On ordinary forms & ordinary Galois representations (2001) (0)
Multiplicities of modp Galois representations (1998) (0)
Modularity of PGL 2 ( F p )-representations over totally real ﬁelds (2021) (0)
Modularity of PGL2(𝔽p)-representations over totally real fields (2021) (0)
A note on restriction maps in the cohomology¶of S-arithmetic groups (2000) (0)
N T ] 2 5 O ct 2 00 2 F-split Galois representations are potentially abelian (2008) (0)
On ordinary forms and ordinary Galois representations (2001) (0)
Elementary Problems: E3313-E3318 (1989) (0)
Mod $\ell$ representations of arithmetic fundamental groups: Part I (An analog of Serre's conjecture for function fields) (2003) (0)
Memorial Tribute: Jean-Pierre Wintenberger (2020) (0)
Modularity of $\operatorname{GL}_2(\mathbb{F}_p)$-representations over CM fields (2019) (0)
Splitting fields of <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline" id="d1e1013" altimg="si11.svg"><mml:mrow><mml:msup><mml:mrow><mml:mi>X</mml:mi></mml:mrow><mml:mrow><mml:mi>n</mml:mi></mml:mrow></mml:msup><mml:mo linebreak="goodbreak" linebreakstyle="after">−</mml:mo><mm (2023) (0)
Automorphy lifting via level lowering congruences (2018) (0)
A LOCAL LANGLANDS PARAMETERIZATION FOR GENERIC SUPERCUSPIDAL REPRESENTATIONS OF p-ADIC G2 WITH APPENDIX BY GORDAN SAVIN MICHAEL HARRIS, CHANDRASHEKHAR B. KHARE, AND JACK A. THORNE (2019) (0)
Remembering M. S. Narasimhan (1932–2021) (2022) (0)
HECKE ALGEBRAS OF MODULAR FORMS MODULO p JOËL BELLAÏCHE AND CHANDRASHEKHAR KHARE (2013) (0)
Number of irreducible mod l rank 2 sheaves on curves over finite fields (2016) (0)
Maps between Jacobians of Shimura curves and congruence kernels (2001) (0)
Kolyvagin’s Euler system for elliptic curves and its application in recent work of Ciperjani-Wiles (2007) (0)
Deformation Rings and Base Change (1999) (0)
Automorphic Forms and Galois Representations: Intertwining of ramified and unramified zeros of Iwasawa modules (2010) (0)
Remembering M. S. Narasimhan (1932–2021) Arnaud Garc´ıa-Prada, (2022) (0)
Potential automorphy of Ĝ-local systems (2018) (0)
Trianguline lifts of global mod p Galois representations (2022) (0)
Derived Hecke action at p and the ordinary Hida tower (2020) (0)
On the number of irreducible mod $\ell$ rank $2$ sheaves on curves over finite fields (2017) (0)
Derived Hecke action at $p$ and the ordinary $p$-adic cohomology of arithmetic manifolds (2020) (0)
LIFTING TORSION GALOIS REPRESENTATIONS – CORRIGENDUM (2016) (0)
Freeness of Hecke modules at non-minimal levels (2022) (0)

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Why Is Chandrashekhar Khare Influential?

Chandrashekhar Khare's Published Works

Published Works

Other Resources About Chandrashekhar Khare

What Schools Are Affiliated With Chandrashekhar Khare?

Chandrashekhar Khare's AcademicInfluence.com Rankings