Neil Dummigan

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All published works

Action	Title	Year	Authors
+ PDF Chat	Residual paramodularity of a certain Calabi-Yau threefold	2024	Neil Dummigan Gonzalo Tornaría
+ PDF Chat	Quinary forms and paramodular forms	2024	Neil Dummigan Ariel Pacetti Gonzalo Rama Gonzalo Tornaría
+	Lifting congruences to half-integral weight	2022	Neil Dummigan
+ PDF Chat	CONGRUENCES OF SAITO–KUROKAWA LIFTS AND DENOMINATORS OF CENTRAL SPINOR<i>L</i>-VALUES	2021	Neil Dummigan
+ PDF Chat	Automorphic forms for some even unimodular lattices	2021	Neil Dummigan Dan Fretwell
+	Quinary forms and paramodular forms	2021	Neil Dummigan Ariel Pacetti Gustavo Rama Gonzalo Tornaría
+ PDF Chat	Congruences of local origin and automorphic induction	2020	Neil Dummigan David Spencer
+ PDF Chat	Twisted adjoint L-values, dihedral congruence primes and the Bloch–Kato conjecture	2020	Neil Dummigan
+	GL2xGSp2 L-values and Hecke eigenvalue congruences	2020	Jonas Bergström Neil Dummigan David W. Farmer S. Koutsoliotas
+ PDF Chat	Automorphic forms for some even unimodular lattices	2020	Neil Dummigan Dan Fretwell
+	Automorphic forms for some even unimodular lattices	2020	Neil Dummigan Dan Fretwell
+ PDF Chat	Automorphic Forms on Feit’s Hermitian Lattices	2019	Neil Dummigan Sebastian Schönnenbeck
+	$\mathrm{GL}_2\times\mathrm{GSp}_2$ $L$-values and Hecke eigenvalue congruences	2019	Jonas Bergström Neil Dummigan David W. Farmer S. Koutsoliotas
+ PDF Chat	$\protect \mathrm{GL}_2\times \protect \mathrm{GSp}_2$ $L$-values and Hecke eigenvalue congruences	2019	Jonas Bergström Neil Dummigan David W. Farmer S. Koutsoliotas
+ PDF Chat	Kurokawa–Mizumoto congruences and degree-8 L-values	2018	Neil Dummigan Bernhard Heim Angelo Rendina
+	Automorphic Forms on Feit's Hermitian Lattices	2018	Neil Dummigan Sebastian Schönnenbeck
+	Automorphic Forms on Feit's Hermitian Lattices	2018	Neil Dummigan Sebastian Schönnenbeck
+	Lifting puzzles and congruences of Ikeda and Ikeda–Miyawaki lifts	2017	Neil Dummigan
+ PDF Chat	Eisenstein Congruences for SO(4, 3), SO(4, 4), Spinor, and Triple Product<i>L</i>-values	2016	Jonas Bergström Neil Dummigan Thomas Mégarbané Tomoyoshi Ibukiyama Hidenori Katsurada
+	Eisenstein congruences for SO(4,3), SO(4,4), spinor and triple product L-values	2016	Jonas Bergström Neil Dummigan Thomas Mégarbané
+	Eisenstein congruences for SO(4,3), SO(4,4), spinor and triple product L-values	2016	Jonas Bergström Neil Dummigan Thomas Mégarbané
+ PDF Chat	Eisenstein congruences for split reductive groups	2015	Jonas Bergström Neil Dummigan
+	Quadratic Q-curves, units and Hecke L-values	2015	Neil Dummigan Vasily Golyshev
+ PDF Chat	Quadratic $${\mathbb {Q}}$$ Q -curves, units and Hecke $$L$$ L -values	2015	Neil Dummigan Vasily Golyshev
+	Eisenstein congruences for split reductive groups	2015	Jonas Bergström Neil Dummigan
+	Lifting Congruences to weight 3/2	2015	Neil Dummigan Srilakshmi Krishnamoorthy
+	Eisenstein congruences for split reductive groups	2015	Jonas Bergström Neil Dummigan
+	Ramanujan-style congruences of local origin	2014	Neil Dummigan Dan Fretwell
+	Exact holomorphic differentials on a quotient of the Ree curve	2013	Neil Dummigan Shabieh Farwa
+	A Simple Trace Formula for Algebraic Modular Forms	2013	Neil Dummigan
+	Powers of 2 in modular degrees of modular abelian varieties	2012	Neil Dummigan Srilakshmi Krishnamoorthy
+	Yoshida lifts and Selmer groups	2012	Siegfried Böcherer Neil Dummigan Rainer Schulze‐Pillot
+	Some Siegel modular standard L-values, and Shafarevich–Tate groups	2011	Neil Dummigan Tomoyoshi Ibukiyama Hidenori Katsurada
+	Yoshida lifts and Selmer groups	2010	Siegfried Böcherer Neil Dummigan Rainer Schulze‐Pillot
+	Symmetric square L-values and dihedral congruences for cusp forms	2010	Neil Dummigan Bernhard Heim
+	Yoshida lifts and Selmer groups	2010	Siegfried Böcherer Neil Dummigan Rainer Schulze‐Pillot
+	Triple Product L-values and Dihedral Congruences for Cusp Forms	2009	Neil Dummigan B. Heim
+	SYMMETRIC SQUARE L-FUNCTIONS AND SHAFAREVICH–TATE GROUPS, II	2009	Neil Dummigan
+	SOME SIEGEL MODULAR STANDARD L-VALUES, AND SHAFAREVICH-TATE GROUPS	2009	Neil Dummigan Tomoyoshi Ibukiyama Hidenori Katsurada
+	SELMER GROUPS FOR TENSOR PRODUCT $\mathsf{L}$-FUNCTIONS (Automorphic representations, automorphic $L$-functions and arithmetic)	2009	Neil Dummigan
+ PDF Chat	Euler Factors and Local Root Numbers for Symmetric Powers of Elliptic Curves	2009	Neil Dummigan Phil Martin Mark E. Watkins
+ PDF Chat	Critical Values of Symmetric Power L-functions	2009	Neil Dummigan Mark E. Watkins
+	Rational points of order 7	2008	Neil Dummigan
+ PDF Chat	Eisenstein primes, critical values and global torsion	2007	Neil Dummigan
+ PDF Chat	On a conjecture of Watkins	2006	Neil Dummigan
+	RATIONAL TORSION ON OPTIMAL CURVES	2005	Neil Dummigan
+	CONGRUENCES OF MODULAR FORMS AND TENSOR PRODUCT $L$-FUNCTIONS	2004	Neil Dummigan
+ PDF Chat	Constructing elements in Shafarevich–Tate groups of modular motives	2004	Neil Dummigan William Stein Mark E. Watkins
+ PDF Chat	Tamagawa factors for symmetric squares of Tate curves	2003	Neil Dummigan
+ PDF Chat	Symmetric Squares of Elliptic Curves: Rational Points and Selmer Groups	2002	Neil Dummigan
+ PDF Chat	Congruences of modular forms and Selmer groups	2001	Neil Dummigan
+ PDF Chat	Symmetric Square L-Functions and Shafarevich-Tate Groups	2001	Neil Dummigan
+	Period ratios of modular forms	2000	Neil Dummigan
+	Lower bounds for the minima of certain symplectic and unitary group lattices	1999	Neil Dummigan Pham Huu Tiep
+ PDF Chat	None	1999	Neil Dummigan
+	Theta series congruences	1999	Neil Dummigan
+	Congruences for Certain Theta Series	1998	Neil Dummigan Pham Huu Tiep
+ PDF Chat	The representation of integers by binary additive forms	1998	Michael A. Bennett Neil Dummigan Trevor D. Wooley
+ PDF Chat	Algebraic Cycles and Even Unimodular Lattices	1997	Neil Dummigan
+	Symplectic Group Lattices as Mordell–Weil Sublattices	1996	Neil Dummigan
+	The Determinants of Certain Mordell-Weil Lattices	1995	Neil Dummigan

Common Coauthors

Coauthor	Papers Together
Jonas Bergström	9
Dan Fretwell	4
Thomas Mégarbané	3
Gonzalo Tornaría	3
Sebastian Schönnenbeck	3
David W. Farmer	3
Tomoyoshi Ibukiyama	3
Hidenori Katsurada	3
S. Koutsoliotas	3
Rainer Schulze‐Pillot	3
Siegfried Böcherer	3
Mark E. Watkins	3
Vasily Golyshev	2
Srilakshmi Krishnamoorthy	2
Ariel Pacetti	2
Bernhard Heim	2
Pham Huu Tiep	2
William Stein	1
Gonzalo Rama	1
Phil Martin	1
Michael A. Bennett	1
Angelo Rendina	1
Trevor D. Wooley	1
David Spencer	1
Gustavo Rama	1
Shabieh Farwa	1
B. Heim	1

Commonly Cited References

Action	Title	Year	Authors	# of times referenced
+ PDF Chat	The Tamagawa number conjecture of adjoint motives of modular forms	2004	Fred Diamond Matthias Flach Li Guo	22
+	L-Functions and Tamagawa Numbers of Motives	2007	Spencer Bloch Kazuya Katô	20
+ PDF Chat	Symmetric Square L-Functions and Shafarevich-Tate Groups	2001	Neil Dummigan	16
+	Valeurs de fonctions L et périodes d’intégrales	1979	Pierre Deligne	15
+	A modular construction of unramifiedp-extensions ofQ(? p )	1976	Kenneth A. Ribet	13
+ PDF Chat	Saito–Kurokawa lifts and applications to the Bloch–Kato conjecture	2007	Jim Brown	12
+	Valeurs de fonctions 𝐿 et périodes d’intégrales	1979	Pierre Deligne	12
+ PDF Chat	Eisenstein congruences for split reductive groups	2015	Jonas Bergström Neil Dummigan	12
+	Congruence Between a Siegel and an Elliptic Modular Form	2008	Günter Harder	11
+	SYMMETRIC SQUARE L-FUNCTIONS AND SHAFAREVICH–TATE GROUPS, II	2009	Neil Dummigan	11
+	Siegel Modular Forms and Their Applications	2008	Gerard van der Geer	10
+	Geometric Modular Forms and Elliptic Curves	2011	Haruzo Hida	9
+	Ramanujan-style congruences of local origin	2014	Neil Dummigan Dan Fretwell	8
+	The Magma Algebra System I: The User Language	1997	Wieb Bosma John Cannon Catherine Playoust	8
+ PDF Chat	Sur la cohomologie des systèmes locaux sur les espaces de modules des courbes de genre 2 et des surfaces abéliennes, I	2004	Carel Faber Gerard van der Geer	7
+	Some Siegel modular standard L-values, and Shafarevich–Tate groups	2011	Neil Dummigan Tomoyoshi Ibukiyama Hidenori Katsurada	7
+	Modular forms whose fourier coefficients involve zeta-functions of quadratic fields	1977	Don Zagier	7
+	Formes modulaires et représentations e-adiques	2006	Pierre Deligne	7
+	Onp-adic analogues of the conjectures of Birch and Swinnerton-Dyer	1986	Barry Mazur John Tate Jeremy Teitelbaum	7
+ PDF Chat	Congruence of Siegel modular forms and special values of their standard zeta functions	2007	Hidenori Katsurada	7
+	On the Pullback of a Differential Operator and Its Application to Vector Valued Eisenstein Series	1992	Siegfried Böcherer Takakazu Satoh Tadashi Yamazaki	7
+ PDF Chat	Computing the Modular Degree of an Elliptic Curve	2002	Mark E. Watkins	7
+	Congruences for eigenvalues of Hecke operators on Siegel modular forms of degree two	1986	Shin-ichiro Mizumoto	7
+ PDF Chat	On certain vector valued Siegel modular forms of degree two	1986	Takakazu Satoh	7
+ PDF Chat	The Bloch-Kato conjecture for adjoint motives of modular forms	2001	Fred Diamond Matthias Flach Li Guo	7
+	Modular Elliptic Curves and Fermat's Last Theorem	1995	Andrew Wiles	7
+	Congruences of cusp forms and special values of their zeta functions	1981	Haruzo Hida	7
+	Pullback of the lifting of elliptic cusp forms and Miyawaki's conjecture	2006	Tamotsu Ikeda	6
+	Algebraic modular forms	1999	Benedict H. Gross	6
+	Level one algebraic cusp forms of classical groups of small rank	2015	Gaëtan Chenevier David Renard	6
+ PDF Chat	Modular curves and the eisenstein ideal	1977	Barry Mazur	6
+	Vector valued Siegel's modular forms of degree two and the associated Andrianov L-functions	1983	Tsuneo Arakawa	6
+	On modular representations of $$(\bar Q/Q)$$ arising from modular forms	1990	Kenneth A. Ribet	6
+	A Simple Trace Formula for Algebraic Modular Forms	2013	Neil Dummigan	6
+ PDF Chat	Congruences between Siegel modular forms of degree two, II	1981	Nobushige Kurokawa	6
+	On ℓ-adic representations and congruences for coefficients of modular forms (II)	1977	H. P. F. Swinnerton-Dyer	6
+ PDF Chat	Visualizing Elements in the Shafarevich—Tate Group	2000	J. E. Cremona Barry Mazur	6
+	Geometric Modular Forms and Elliptic Curves	2000	Haruzo Hida	6
+ PDF Chat	Group representations and lattices	1990	Benedict H. Gross	6
+	Modular Forms and Galois Cohomology	2000	Haruzo Hida	6
+	Motives for modular forms	1990	A. J. Scholl	6
+	Crystalline cohomology and p-adic Galois-representations	1988	Герд Фалтингс	6
+	Heegner points and derivatives ofL-series	1986	Benedict H. Gross Don Zagier	5
+	SUR LES DÉFORMATIONS p-ADIQUES DE CERTAINES REPRÉSENTATIONS AUTOMORPHES	2006	Christopher Skinner Eric Urban	5
+ PDF Chat	Eisenstein primes, critical values and global torsion	2007	Neil Dummigan	5
+ PDF Chat	Construction de représentations $p$-adiques	1982	Jean-Marc Fontaine Guy Laffaille	5
+ PDF Chat	Siegel modular forms of degree three and the cohomology of local systems	2013	Jonas Bergström Carel Faber Gerard van der Geer	5
+	Propri�t�s galoisiennes des points d'ordre fini des courbes elliptiques	1971	Jean-Pierre Serre	5
+	Dihedral Congruence Primes and Class Fields of Real Quadratic Fields	2002	Alexander F. Brown Eknath Ghate	5
+ PDF Chat	Lattice Methods for Algebraic Modular Forms on Classical Groups	2014	Matthew Greenberg John Voight	5