Jeffrey Hatley

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All published works

Action	Title	Year	Authors
+ PDF Chat	Iwasawa theory and ranks of elliptic curves in quadratic twist families	2024	Jeffrey Hatley Anwesh Ray
+ PDF Chat	Elliptic curves of conductor $2^m p$, quadratic twists, and Watkins's conjecture	2024	Jeffrey Hatley Debanjana Kundu
+	Statistics for anticyclotomic Iwasawa invariants of elliptic curves	2024	Jeffrey Hatley Debanjana Kundu Anwesh Ray
+	On a conjecture of Mazur predicting the growth of Mordell--Weil ranks in $\mathbb{Z}_p$-extensions	2024	Rylan Gajek-Leonard Jeffrey Hatley Debanjana Kundu Antonio Lei
+ PDF Chat	$$\lambda $$-Invariant stability in families of modular Galois representations	2023	Jeffrey Hatley Debanjana Kundu
+ PDF Chat	Polynomials in Fp[x] Which Commute Under Composition	2023	Jeffrey Hatley Mayah Teplitskiy
+ PDF Chat	The vanishing of anticyclotomic <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"><mml:mi>μ</mml:mi></mml:math>-invariants for non-ordinary modular forms	2023	Jeffrey Hatley Antonio Lei
+ PDF Chat	Control theorems for fine Selmer groups, and duality of fine Selmer groups attached to modular forms	2022	Jeffrey Hatley Debanjana Kundu Antonio Lei Jishnu Ray
+	Control theorems for fine Selmer groups, and duality of fine Selmer groups attached to modular forms	2022	Jeffrey Hatley Debanjana Kundu Antonio Lei Jishnu Ray
+	$λ$-invariant stability in families of modular Galois representations	2022	Jeffrey Hatley Debanjana Kundu
+	Polynomials in $\mathbb{F}_p[x]$ which commute under composition	2022	Jeffrey Hatley Mayah Teplitskiy
+ PDF Chat	Comparing anticyclotomic Selmer groups of positive coranks for congruent modular forms – Part II	2021	Jeffrey Hatley Antonio Lei
+	Two infinite families of elliptic curves with rank greater than one	2021	Jeffrey Hatley J.R. Stack
+ PDF Chat	$$\Lambda $$-submodules of finite index of anticyclotomic plus and minus Selmer groups of elliptic curves	2021	Jeffrey Hatley Antonio Lei Stefano Vigni
+	The vanishing of anticyclotomic $μ$-invariants for non-ordinary modular forms	2021	Jeffrey Hatley Antonio Lei
+	Statistics for Anticyclotomic Iwasawa Invariants of Elliptic Curves	2021	Jeffrey Hatley Debanjana Kundu Anwesh Ray
+	Two infinite families of elliptic curves with rank greater than one	2021	Jeffrey Hatley J.R. Stack
+	$\Lambda$-submodules of finite index of anticyclotomic plus and minus Selmer groups of elliptic curves	2020	Jeffrey Hatley Antonio Lei Stefano Vigni
+	$Λ$-submodules of finite index of anticyclotomic plus and minus Selmer groups of elliptic curves	2020	Jeffrey Hatley Antonio Lei Stefano Vigni
+ PDF Chat	Groups of generalized G‐type and applications to torsion subgroups of rational elliptic curves over infinite extensions of Q	2019	Harris B. Daniels Maarten Derickx Jeffrey Hatley
+ PDF Chat	Arithmetic properties of signed Selmer groups at non-ordinary primes	2019	Jeffrey Hatley Antonio Lei
+ PDF Chat	Comparing anticyclotomic Selmer groups of positive co-ranks for congruent modular forms	2019	Jeffrey Hatley Antonio Lei
+	Comparing anticyclotomic Selmer groups of positive coranks for congruent modular forms	2017	Jeffrey Hatley Antonio Lei
+	Rank parity for congruent supersingular elliptic curves	2016	Jeffrey Hatley
+	Modular forms of arbitrary even weight with no exceptional primes	2016	Jeffrey Hatley
+	Arithmetic properties of signed Selmer groups at non-ordinary primes	2016	Jeffrey Hatley Antonio Lei
+ PDF Chat	Elliptic curves with maximally disjoint division fields	2016	Harris B. Daniels Jeffrey Hatley James Ricci
+ PDF Chat	Obstruction criteria for modular deformation problems	2015	Jeffrey Hatley
+	Elliptic curves with maximally disjoint division fields	2015	Harris B. Daniels Jeffrey Hatley James Ricci
+	Elliptic curves with maximally disjoint division fields	2015	Harris B. Daniels Jeffrey Hatley James Ricci
+ PDF Chat	The probability of relatively prime polynomials in ℤ<sub><i>p</i><sup>k</sup></sub>[<i>x</i>]	2010	Thomas Hagedorn Jeffrey Hatley
+ PDF Chat	Numerical evidence on the uniform distribution of power residues for elliptic curves	2009	Jeffrey Hatley Amanda Hittson
+	On the Rank of the Elliptic Curve y^2=x(x-p)(x-2)	2009	Jeffrey Hatley

Common Coauthors

Coauthor	Papers Together
Antonio Lei	13
Debanjana Kundu	8
Harris B. Daniels	4
Anwesh Ray	3
Stefano Vigni	3
Mayah Teplitskiy	2
Jishnu Ray	2
James Ricci	2
J.R. Stack	2
James Ricci	1
Rylan Gajek-Leonard	1
Amanda Hittson	1
Thomas Hagedorn	1
Maarten Derickx	1

Commonly Cited References

Action	Title	Year	Authors	# of times referenced
+ PDF Chat	Variation of Iwasawa invariants in Hida families	2005	Matthew Emerton Robert Pollack Tom Weston	9
+	Iwasawa theory for elliptic curves at supersingular primes	2003	Shin-ichi Kobayashi	8
+	The Magma Algebra System I: The User Language	1997	Wieb Bosma John Cannon Catherine Playoust	8
+ PDF Chat	The Iwasawa Invariants of the Plus/Minus Selmer Groups	2009	Byoung Du Kim	8
+ PDF Chat	Comparing anticyclotomic Selmer groups of positive coranks for congruent modular forms – Part II	2021	Jeffrey Hatley Antonio Lei	6
+ PDF Chat	Iwasawa theory for elliptic curves	1999	Ralph Greenberg	6
+ PDF Chat	On the Iwasawa invariants of elliptic curves	2000	Ralph Greenberg Vinayak Vatsal	6
+ PDF Chat	THE PLUS/MINUS SELMER GROUPS FOR SUPERSINGULAR PRIMES	2013	Byoung Du Kim	6
+	Iwasawa theory for elliptic curves at supersingular primes: A pair of main conjectures	2012	Florian Sprung	6
+	Anticyclotomic main conjecture for modular forms and integral Perrin-Riou twists	2021	Shinichi Kobayashi Kazuto Ota	5
+ PDF Chat	The Heegner point Kolyvagin system	2004	Benjamin Howard	5
+ PDF Chat	Comparing anticyclotomic Selmer groups of positive co-ranks for congruent modular forms	2019	Jeffrey Hatley Antonio Lei	5
+ PDF Chat	Generalized Heegner cycles and p-adic Rankin L-series	2013	Massimo Bertolini Henri Darmon Kartik Prasanna	5
+	Rational points of abelian varieties with values in towers of number fields	1972	Barry Mazur	5
+	p-adic heights of Heegner points and Beilinson-Flach classes	2017	Francesc Castella	4
+	Iwasawa Theory for $p$-adic Representations	2018	Ralph Greenberg	4
+ PDF Chat	On anticyclotomic <i>μ</i>-invariants of modular forms	2011	Robert Pollack Tom Weston	4
+ PDF Chat	Plus/minus Heegner points and Iwasawa theory of elliptic curves at supersingular primes	2018	Matteo Longo Stefano Vigni	3
+ PDF Chat	Prime decomposition in the anti-cyclotomic extension	2007	D.M. Brink	3
+ PDF Chat	Iwasawa theory of Heegner points on abelian varieties of GL2 type	2004	Benjamin Howard	3
+ PDF Chat	Derived heights and generalized Mazur-Tate regulators	1994	Massimo Bertolini Henri Darmon	3
+	Propri�t�s galoisiennes des points d'ordre fini des courbes elliptiques	1971	Jean-Pierre Serre	3
+ PDF Chat	Ternary cubic forms having bounded invariants, and the existence of a positive proportion of elliptic curves having rank 0	2014	Manjul Bhargava Arul Shankar	3
+ PDF Chat	Arithmetic properties of signed Selmer groups at non-ordinary primes	2019	Jeffrey Hatley Antonio Lei	3
+ PDF Chat	Statistics for Iwasawa invariants of elliptic curves	2021	Debanjana Kundu Anwesh Ray	3
+	On the p-adic L-function of a modular form at a supersingular prime	2003	Robert Pollack	3
+ PDF Chat	Variation of anticyclotomic Iwasawa invariants in Hida families	2017	Francesc Castella Chan-Ho Kim Matteo Longo	3
+ PDF Chat	Anticyclotomic <i>p</i>-ordinary Iwasawa theory of elliptic modular forms	2017	Kâzım Büyükboduk Antonio Lei	3
+	The Arithmetic of Elliptic Curves	2009	Joseph H. Silverman	3
+	Advanced Topics in the Arithmetic of Elliptic Curves	1994	Joseph H. Silverman	3
+	Galois Cohomology of Elliptic Curves	2000	J. Coates R. Sujatha	3
+ PDF Chat	Special values of anticyclotomic Rankin-Selberg $L$-functions	2014	Ming-Lun Hsieh	3
+	$p$-adic heights of Heegner points and Beilinson-Flach elements	2015	Francesc Castella	3
+ PDF Chat	Fonctions $L$ $p$-adiques, théorie d'Iwasawa et points de Heegner	1987	Bernadette Perrin-Riou	3
+ PDF Chat	Some consequences of a formula of Mazur and Rubin for arithmetic local constants	2013	Jan Nekovář	3
+	Fine Selmer groups of elliptic curves over p-adic Lie extensions	2005	J. Coates R. Sujatha	3
+ PDF Chat	On the structure of signed Selmer groups	2019	Gautier Ponsinet	3
+ PDF Chat	A class group heuristic based on the distribution of 1-eigenspaces in matrix groups	2014	Michael Adam Gunter Malle	2
+	Formes modulaires et représentations e-adiques	2006	Pierre Deligne	2
+	The average number of elements in the 4-Selmer groups of elliptic curves is 7	2013	Manjul Bhargava Arul Shankar	2
+	Modular Forms and the Chebotarev Density Theorem II	1997	V. Kumar Murty	2
+ PDF Chat	Uniform distribution of Heegner points	2002	Vinayak Vatsal	2
+ PDF Chat	Surjectivity of the global-to-local map defining a Selmer group	2010	Ralph Greenberg	2
+ PDF Chat	ON THE NON-TRIVIALITY OF THE -ADIC ABEL–JACOBI IMAGE OF GENERALISED HEEGNER CYCLES MODULO , II: SHIMURA CURVES	2015	Ashay Burungale	2
+ PDF Chat	THE ANTICYCLOTOMIC MAIN CONJECTURE FOR ELLIPTIC CURVES AT SUPERSINGULAR PRIMES	2007	Henri Darmon Adrian Iovita	2
+ PDF Chat	IMAGES OF ADELIC GALOIS REPRESENTATIONS FOR MODULAR FORMS	2016	David Loeffler	2
+	BOUNDS FOR THE TORSION OF ELLIPTIC CURVES OVER EXTENSIONS WITH BOUNDED RAMIFICATION	2010	Álvaro Lozano‐Robledo Benjamin Lundell	2
+ PDF Chat	Iwasawa invariants of galois deformations	2005	Tom Weston	2
+	On the distribution of divisor class groups of curves over a finite field	1989	Eduardo Friedman Lawrence C. Washington	2
+	Variation of the reduction type of elliptic curves under small base change with wild ramification	2003	Masanari Kida	2