Eknath Ghate

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All published works

Action	Title	Year	Authors
+	Modular representations of GL<sub>2</sub>(𝔽<sub>𝑞</sub>) using calculus	2025	Eknath Ghate Arindam Jana
+ PDF Chat	Erratum: Non-admissible irreducible representations of 𝑝-adic 𝐺𝐿_{𝑛} in characteristic 𝑝	2024	Eknath Ghate Daniel Le Mihir Sheth
+ PDF Chat	None	2023	Eknath Ghate Daniel Le Mihir Sheth
+ PDF Chat	Non-admissible irreducible representations of 𝑝-adic 𝐺𝐿_{𝑛} in characteristic 𝑝	2023	Eknath Ghate Daniel Le Mihir Sheth
+	Modular induced representations of $\mathrm{GL}_2(\mathbb F_q)$ as cokernels of symmetric power representations	2023	Eknath Ghate Arindam Jana
+	Reductions of semi-stable representations using the Iwahori mod $p$ Local Langlands Correspondence	2023	Anand Chitrao Eknath Ghate
+ PDF Chat	Reductions of Galois representations and the theta operator	2022	Eknath Ghate Arvind Kumar
+	Diagrams and Mod p Representations of p-adic Groups	2022	Eknath Ghate Mihir Sheth
+	Non-admissible irreducible representations of $p$-adic $\mathrm{GL}_{n}$ in characteristic $p$	2022	Eknath Ghate Daniel Le Mihir Sheth
+	Zig-zag for Galois Representations	2022	Eknath Ghate
+ PDF Chat	The Monomial Lattice in Modular Symmetric Power Representations	2021	Eknath Ghate Ravitheja Vangala
+	Semi-stable representations as limits of crystalline representations	2021	Anand Chitrao Eknath Ghate Seidai Yasuda
+ PDF Chat	On non-admissible irreducible modulo $p$ representations of $\protect \mathrm{GL}_{2}(\protect \mathbb{Q}_{p^{2}})$	2020	Eknath Ghate Mihir Sheth
+	On non-admissible irreducible modulo $p$ representations of $GL_{2}(\mathbb{Q}_{p^{2}})$	2020	Eknath Ghate Mihir Sheth
+ PDF Chat	p-adic Asai L-functions Attached to Bianchi Cusp Forms	2020	Baskar Balasubramanyam Eknath Ghate Ravitheja Vangala
+	$p$-adic Asai $L$-functions attached to Bianchi cusp forms	2019	Baskar Balasubramanyam Eknath Ghate Ravitheja Vangala
+	The Monomial Lattice in Modular Symmetric Power Representations	2019	Eknath Ghate Ravitheja Vangala
+	Reductions of Galois representations of Slope $\frac{3}{2}$	2019	Eknath Ghate Vivek Rai
+	$p$-adic Rankin product $L$-functions	2019	Eknath Ghate Ravitheja Vangala
+	A zig-zag conjecture and local constancy for Galois representations	2019	Eknath Ghate
+	Reductions of Galois representations and the theta operator	2019	Eknath Ghate Arvind Kumar
+	The Monomial Lattice in Modular Symmetric Power Representations	2019	Eknath Ghate Ravitheja Vangala
+ PDF Chat	Reductions of Galois representations of slope 1	2018	Shalini Bhattacharya Eknath Ghate Sandra Rozensztajn
+	Sums of fractions and finiteness of monodromy	2017	Eknath Ghate T. N. Venkataramana
+	Sums of Fractions and Finiteness of Monodromy	2016	Eknath Ghate T. N. Venkataramana
+	Sums of Fractions and Finiteness of Monodromy	2016	Eknath Ghate T. N. Venkataramana
+	Supercuspidal ramification of modular endomorphism algebras	2015	Shalini Bhattacharya Eknath Ghate
+	Reductions of Galois representations for slopes in $(1,2)$	2015	Shalini Bhattacharya Eknath Ghate
+ PDF Chat	Reductions of Galois representations for slopes in $(1,2)$	2015	Shalini Bhattacharya Eknath Ghate
+	Reductions of Galois representations via the mod p Local Langlands Correspondence	2014	Abhik Ganguli Eknath Ghate
+	On local Galois representations associated to ordinary Hilbert modular forms	2013	Baskar Balasubramanyam Eknath Ghate Vinayak Vatsal
+ PDF Chat	Adjoint lifts and modular endomorphism algebras	2012	Debargha Banerjee Eknath Ghate
+ PDF Chat	On uniform large Galois images for modular abelian varieties	2012	Eknath Ghate Pierre Parent
+ PDF Chat	On classical weight one forms in Hida families	2012	Mladen Dimitrov Eknath Ghate
+ PDF Chat	(<i>p,p</i>)-Galois representations attached to automorphic forms on GL<sub><i>n</i></sub>	2011	Eknath Ghate Narasimha Kumar
+ PDF Chat	Crossed product algebras attached to weight one forms	2011	Debargha Banerjee Eknath Ghate
+ PDF Chat	Locally Indecomposable Galois Representations	2010	Eknath Ghate Vinayak Vatsal
+	On the average number of octahedral newforms of prime level	2009	Manjul Bhargava Eknath Ghate
+ PDF Chat	Filtered modules with coefficients	2008	Eknath Ghate Ariane Mézard
+	None	2005	Eknath Ghate Enrique González–Jiménez Jordi Quer
+	Ordinary forms and their local Galois representations	2005	Eknath Ghate
+	On the Local Behavior of Ordinary Modular Galois Representations	2004	Eknath Ghate
+ PDF Chat	On the local behaviour of ordinary $\Lambda$-adic representations	2004	Eknath Ghate Vinayak Vatsal
+ PDF Chat	Endomorphism algebras of motives attached to elliptic modular forms	2003	Alexander F. Brown Eknath Ghate
+	Complex Multiplication	2003	Eknath Ghate
+	Dihedral Congruence Primes and Class Fields of Real Quadratic Fields	2002	Alexander F. Brown Eknath Ghate
+ PDF Chat	On products of eigenforms	2002	Eknath Ghate
+ PDF Chat	None	2002	Eknath Ghate
+	An Introduction to Congruences Between Modular Forms	2002	Eknath Ghate
+ PDF Chat	The arithmetic and geometry of Salem numbers	2001	Eknath Ghate Eriko Hironaka
+	Critical values of the twisted tensor L-function in the imaginary quadratic case	1999	Eknath Ghate
+	Critical values of twisted tensor 𝐿-functions over CM-fields	1999	Eknath Ghate

Common Coauthors

Coauthor	Papers Together
Ravitheja Vangala	6
Daniel Le	4
Shalini Bhattacharya	4
Mihir Sheth	4
T. N. Venkataramana	3
Baskar Balasubramanyam	3
Vinayak Vatsal	3
Mihir Sheth	3
Debargha Banerjee	2
Anand Chitrao	2
Alexander F. Brown	2
Enrique González–Jiménez	1
Abhik Ganguli	1
Mladen Dimitrov	1
Arvind Kumar	1
Pierre Parent	1
Seidai Yasuda	1
Jordi Quer	1
Arindam Jana	1
Eriko Hironaka	1
Vivek Rai	1
Arindam Jana	1
Narasimha Kumar	1
Ariane Mézard	1
Arvind Kumar	1
Manjul Bhargava	1
Sandra Rozensztajn	1

Commonly Cited References

Action	Title	Year	Authors	# of times referenced
+ PDF Chat	None	2003	Christophe Breuil	9
+	The weight in Serre's conjectures on modular forms	1992	Bas Edixhoven	9
+	Explicit Reduction Modulo p of Certain Two-Dimensional Crystalline Representations	2009	Kevin Buzzard Toby Gee	9
+	On ordinary ?-adic representations associated to modular forms	1988	Andrew Wiles	8
+	Galois representations into GL2 (Z p [[X]]) attached to ordinary cusp forms	1986	Haruzo Hida	8
+	Reductions of Galois representations via the mod p Local Langlands Correspondence	2014	Abhik Ganguli Eknath Ghate	7
+	Elementary Theory of L-functions and Eisenstein Series	1993	Haruzo Hida	7
+	Irreducible modular representations of GL2 of a local field	1994	Laure Barthel Ron Livné	6
+ PDF Chat	Construction of some families of 2-dimensional crystalline representations	2004	Laurent Berger Hanfeng Li Hui June Zhu	6
+ PDF Chat	On the local behaviour of ordinary $\Lambda$-adic representations	2004	Eknath Ghate Vinayak Vatsal	6
+ PDF Chat	Reductions of Galois representations for slopes in $(1,2)$	2015	Shalini Bhattacharya Eknath Ghate	6
+ PDF Chat	Iwasawa modules attached to congruences of cusp forms	1986	Haruzo Hida	5
+	Twists of modular forms and endomorphisms of Abelian varieties	1980	Kenneth A. Ribet	5
+ PDF Chat	Abelian Varieties over Q and Modular Forms	2004	Kenneth A. Ribet	5
+ PDF Chat	Explicit reduction modulo <i>p</i> of certain 2-dimensional crystalline representations, II	2013	Kevin Buzzard Toby Gee	5
+	Towards a modulo 𝑝 Langlands correspondence for 𝐺𝐿₂	2011	Christophe Breuil Vytautas Paškūnas	5
+	SUR QUELQUES REPRÉSENTATIONS MODULAIRES ET $p$-ADIQUES DE $\mathrm{GL}_2(\bm{Q}_{p})$. II	2003	Christophe Breuil	5
+ PDF Chat	Reduction of certain crystalline representations and local constancy in the weight space	2020	Shalini Bhattacharya	4
+ PDF Chat	Central Characters for Smooth Irreducible Modular Representations of GL$_2$ ($Q_p$)	2012	Laurent Berger	4
+	Modular Forms and Galois Cohomology	2000	Haruzo Hida	4
+	Towards a Modulo p Langlands Correspondence for GL2	2012	Chistophe Breuil Vytautas Paškūnas	4
+	Abelian l-Adic Representations and Elliptic Curves	1997	Jean-Pierre Serre	4
+	A tameness criterion for Galois representations associated to modular forms (mod p)	1990	Benedict H. Gross	4
+	La classe de Brauer de l'algèbre d'endomorphismes d'une variété abélienne modulaire	1998	Jordi Quer	4
+	Eisenstein cohomology of arithmetic groups. The case GL2	1987	G. Harder	4
+	Introduction to the Arithmetic Theory of Automorphic Functions	1972	Marvin Tretkoff Goro Shimura	4
+	Serre’s modularity conjecture (II)	2009	Chandrashekhar Khare Jean-Pierre Wintenberger	4
+ PDF Chat	Harmonic Analysis on Reductive p-adic Groups	1970	Harish-chandra Harish-Chandra	4
+ PDF Chat	Endomorphism algebras of motives attached to elliptic modular forms	2003	Alexander F. Brown Eknath Ghate	4
+	On $p$-adic analytic families of Galois representations	1986	Barry Mazur Andrew Wiles	4
+	Graduate Texts in Mathematics	1977	Rajendra Bhatia Glen Bredon Wolfgang Walter Joseph Rotman M. Ram Murty Jane Gilman Peter Walters Martin Golubitsky Ioannis Karatzas Henri Cohen	3
+	Sur quelques représentations potentiellement cristallines de GL_2(Q_p)	2006	Laurent Berger Christophe Breuil	3
+ PDF Chat	Algebraic number theory	1999	Kazuya Katô Nobushige Kurokawa Takeshi Saito	3
+	Introduction to Cyclotomic Fields	1982	Lawrence C. Washington	3
+	Modular forms of weight one and Galois representations	2003	Jean-Pierre Serre	3
+	Questions on mod p representations of reductive p-adic groups	2017	Noriyuki Abe Guy Henniart Florian Herzig Marie‐France Vignéras	3
+	A zig-zag conjecture and local constancy for Galois representations	2019	Eknath Ghate	3
+ PDF Chat	Asymptotic values of modular multiplicities for \operatorname{GL}_2	2014	Sandra Rozensztajn	3
+	Class Fields Over Real Quadratic Fields and Hecke Operators	1972	Goro Shimura	3
+	Analytic continuation of overconvergent eigenforms	2002	Kevin Buzzard	3
+	On ?-adic representations attached to modular forms	1975	Kenneth A. Ribet	3
+	A modular construction of unramifiedp-extensions ofQ(? p )	1976	Kenneth A. Ribet	3
+ PDF Chat	Companion Forms and Weight One Forms	1999	Kevin Buzzard Richard Taylor	3
+	None	2005	Eknath Ghate Enrique González–Jiménez Jordi Quer	3
+	Non-Archimedean L-Functions and Arithmetical Siegel Modular Forms	1991	Michel Courtieu Alexei Panchishkin	3
+	Motives for modular forms	1990	A. J. Scholl	3
+	NON-ARCHIMEDEAN RANKIN<i>L</i>-FUNCTIONS AND THEIR FUNCTIONAL EQUATIONS	1989	Alexei Panchishkin	3
+	La correspondance de Langlands locale p-adique pour GL_2(Q_p)	2010	Laurent Berger	3
+ PDF Chat	on <i>l</i>-adic representations attached to modular forms II	1985	Kenneth A. Ribet	3
+	Twists of newforms and pseudo-eigenvalues ofW-operators	1978	A. O. L. Atkin W Li	3