Ila Varma

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All published works

Action	Title	Year	Authors
+ PDF Chat	Local-global compatibility for regular algebraic cuspidal automorphic representations when	2024	Ila Varma
+	Power-Saving Error Terms for the Number of $$D_4$$-Quartic Extensions over a Number Field Ordered by Discriminant	2024	Alina Bucur Alexandra Florea Allechar Serrano López Ila Varma
+ PDF Chat	On unit signatures and narrow class groups of odd degree abelian number fields	2023	Benjamin Breen Ila Varma John Voight
+ PDF Chat	The mean number of 3-torsion elements in ray class groups of quadratic fields	2022	Ila Varma
+	Power-saving error terms for the number of $D_4$-quartic extensions over a number field ordered by discriminant	2022	Alina Bucur Alexandra Florea Allechar Serrano López Ila Varma
+	Geometry-of-numbers methods in the cusp and applications to class groups.	2021	Arul Shankar Artane Siad Ashvin Swaminathan Ila Varma
+	The number of $D_4$-fields ordered by conductor	2021	Salim Ali Altuğ Arul Shankar Ila Varma Kevin H. Wilson
+	Geometry-of-numbers methods in the cusp	2021	Arul Shankar Artane Siad Ashvin Swaminathan Ila Varma
+	On unit signatures and narrow class groups of odd abelian number fields: structure and heuristics	2019	Benjamin Breen Ila Varma John Voight
+	On unit signatures and narrow class groups of odd degree abelian number fields	2019	Benjamin Breen Ila Varma John Voight appendix with Noam Elkies
+ PDF Chat	Odd degree number fields with odd class number	2018	Wei Ho Arul Shankar Ila Varma
+ PDF Chat	Differential Operators and Families of Automorphic Forms on Unitary Groups of Arbitrary Signature	2018	Ellen Eischen Jessica Fintzen Elena Mantovan Ila Varma
+	The number of quartic $D_4$-fields ordered by conductor	2017	Salim Ali Altuğ Arul Shankar Ila Varma Kevin H. Wilson
+	The mean number of 2-torsion elements in class groups of odd degree number fields arising from binary n-ic forms	2016	Wei Ho Arul Shankar Ila Varma
+ PDF Chat	The mean number of 3-torsion elements in the class groups and ideal groups of quadratic orders	2016	Manjul Bhargava Ila Varma
+ PDF Chat	p-Adic q-Expansion Principles on Unitary Shimura Varieties	2016	Ana Caraiani Ellen Eischen Jessica Fintzen Elena Mantovan Ila Varma
+	The mean number of 3-torsion elements in ray class groups of quadratic fields	2016	Ila Varma
+ PDF Chat	On the mean number of 2 -torsion elements in the class groups, narrow class groups, and ideal groups of cubic orders and fields	2015	Manjul Bhargava Ila Varma
+	Differential operators and families of automorphic forms on unitary groups of arbitrary signature	2015	Ellen Eischen Jessica Fintzen Elena Mantovan Ila Varma
+	On local-global compatibility for cuspidal regular algebraic automorphic representations of GLn	2015	Ila Varma
+	The mean number of 3-torsion elements in the class groups and ideal groups of quadratic orders	2014	Manjul Bhargava Ila Varma
+	Local-global compatibility for regular algebraic cuspidal automorphic representation when $\ell \neq p$	2014	Ila Varma
+	The mean number of 3-torsion elements in the class groups and ideal groups of quadratic orders	2014	Manjul Bhargava Ila Varma
+	Finding elementary formulas for theta functions associated to even sums of squares	2011	Ila Varma

Common Coauthors

Coauthor	Papers Together
Arul Shankar	6
Manjul Bhargava	4
John Voight	3
Ellen Eischen	3
Elena Mantovan	3
Jessica Fintzen	3
Alina Bucur	2
Artane Siad	2
Wei Ho	2
Salim Ali Altuğ	2
Ashvin Swaminathan	2
Kevin H. Wilson	2
Allechar Serrano López	2
Benjamin Breen	2
Alexandra Florea	2
appendix with Noam Elkies	1
Benjamin Breen	1
Ana Caraiani	1

Commonly Cited References

Action	Title	Year	Authors	# of times referenced
+ PDF Chat	Heuristics on class groups of number fields	1984	Henri Cohen H. W. Lenstra	7
+ PDF Chat	The density of discriminants of quartic rings and fields	2005	Manjul Bhargava	6
+ PDF Chat	The mean number of 3-torsion elements in the class groups and ideal groups of quadratic orders	2016	Manjul Bhargava Ila Varma	5
+	The Theory of Irrationalities of the Third Degree	2009	B. Delone D. K. Faddeev	5
+ PDF Chat	On the Distribution of Class Groups of Number Fields	2010	Gunter Malle	5
+	On the density of discriminants of cubic fields. II	1971	H. Davenport H. Heilbronn	5
+ PDF Chat	On Dirichlet series whose coefficients are class numbers of integral binary cubic forms	1972	Takuro Shintani	4
+ PDF Chat	On the Davenport–Heilbronn theorems and second order terms	2012	Manjul Bhargava Arul Shankar Jacob Tsimerman	4
+ PDF Chat	Binary quartic forms having bounded invariants, and the boundedness of the average rank of elliptic curves	2014	Manjul Bhargava Arul Shankar	4
+	Étude heuristique des groupes de classes des corps de nombres.	1990	Henri Cohen Jacques Martinet	4
+	Degeneration of Abelian Varieties	1990	Герд Фалтингс Ching-Li Chai	3
+	On the relations among the class numbers of binary cubic forms	1998	Jin Nakagawa	3
+ PDF Chat	Elliptic curves with no rational points	1988	Jin Nakagawa Kuniaki Horie	3
+ PDF Chat	The density of abelian cubic fields	1954	Harvey Cohn	3
+ PDF Chat	Differential operators, pullbacks, and families of automorphic forms on unitary groups	2016	Ellen Eischen	3
+	Values of abelianL-functions at negative integers over totally real fields	1980	Pierre Deligne Kenneth A. Ribet	3
+	Generalized Heegner Cycles, Shimura Curves, and Special Values of p-ADIC L-Functions.	2013	Ernest Hunter Brooks	3
+	Compactifications of PEL-Type Shimura Varieties and Kuga Families with Ordinary Loci	2016	Kai‐Wen Lan	3
+	The average size of the 5-Selmer group of elliptic curves is 6, and the average rank is less than 1	2013	Manjul Bhargava Arul Shankar	3
+ PDF Chat	On the negative Pell equation	2010	Étienne Fouvry Jürgen Klüners	3
+ PDF Chat	Parametrization of ideal classes in rings associated to binary forms	2012	Melanie Matchett Wood	3
+ PDF Chat	The 2‐Selmer group of a number field and heuristics for narrow class groups and signature ranks of units	2018	David S. Dummit John Voight	3
+	Arithmetic Compactifications of PEL-Type Shimura Varieties	2013	Kai‐Wen Lan	3
+ PDF Chat	On the mean number of 2 -torsion elements in the class groups, narrow class groups, and ideal groups of cubic orders and fields	2015	Manjul Bhargava Ila Varma	3
+	Density of discriminants of cubic extensions.	1988	B. Datskovsky D. J. Wright	3
+ PDF Chat	Heuristics on Class Groups: Some Good Primes are not too Good	1994	Henri Cohen Jacques Martinet	3
+ PDF Chat	Higher composition laws II: On cubic analogues of Gauss composition	2004	Manjul Bhargava	3
+ PDF Chat	Galois representations arising from some compact Shimura varieties	2011	Sug Woo Shin	3
+	Algebraic topology and modular forms	2002	Michael J. Hopkins	3
+ PDF Chat	The Number of Real Quadratic Fields Having Units of Negative Norm	1993	Peter Stevenhagen	3
+ PDF Chat	Mass Formulae for Extensions of Local Fields, and Conjectures on the Density of Number Field Discriminants	2007	Manjul Bhargava	3
+	On the Class-Number of Binary Cubic Forms (II)	1951	H. Davenport	3
+	Residually reducible representations and modular forms	1999	Christopher Skinner Andrew Wiles	3
+	Advanced Topics in Computational Number Theory	2011	Henri Cohen	2
+	Representations of Algebraic Groups	2007	Jens Carsten Jantzen	2
+	On the density of discriminants of cyclic extensions of prime degree	2002	Henri Cohen Fredéric Diaz Michel Olivier	2
+	Galois Module Structure of Algebraic Integers	1983	A. Fröhlich	2
+	Galois representations associated to Siegel modular forms of low weight	1991	Richard Taylor	2
+ PDF Chat	On the Distribution of Galois Groups, II	2004	Gunter Malle	2
+	The Geometry and Cohomology of Some Simple Shimura Varieties.	2001	Michael Harris Richard Taylor Vladimir G. Berkovich	2
+ PDF Chat	p-Adic q-Expansion Principles on Unitary Shimura Varieties	2016	Ana Caraiani Ellen Eischen Jessica Fintzen Elena Mantovan Ila Varma	2
+	p-AdicL-functions for CM fields	1978	Nicholas M. Katz	2
+ PDF Chat	Théorèmes de réflexion	1998	Georges Gras	2
+ PDF Chat	A class group heuristic based on the distribution of 1-eigenspaces in matrix groups	2014	Michael Adam Gunter Malle	2
+ PDF Chat	Eisenstein congruence on unitary groups and Iwasawa main conjectures for CM fields	2014	Ming-Lun Hsieh	2
+ PDF Chat	Selmer groups and quadratic reciprocity	2006	Franz Lemmermeyer	2
+	Cohen–Lenstra heuristic and roots of unity	2008	Gunter Malle	2
+	Compatibility of local and global Langlands correspondences	2006	Richard Taylor Teruyoshi Yoshida	2
+	Cohen–Lenstra Heuristics and the Spiegelungssatz: Number Fields	2002	Yoonjin Lee	2
+	Canonical periods and congruence formulae	1999	Vinayak Vatsal	2