Ashay Burungale

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All published works

Action	Title	Year	Authors
+ PDF Chat	Zeta elements for elliptic curves and applications	2024	Ashay Burungale Christopher Skinner Ye Tian Xin Wan
+ PDF Chat	Hecke $L$-values, definite Shimura sets and Mod $\ell$ non-vanishing	2024	Ashay Burungale Wei He Shinichi Kobayashi Kazuto Ota
+	Kato's epsilon conjecture for anticyclotomic CM deformations at inert primes	2024	Ashay Burungale Shinichi Kobayashi Kazuto Ota Seidai Yasuda
+ PDF Chat	Dimension of the deformation space of ordinary representations in the cyclotomic limit	2024	Ashay Burungale Laurent Clozel Barry Mazur
+ PDF Chat	On the Frobenius fields of abelian varieties over number fields	2024	Ashay Burungale Haruzo Hida Shilin Lai
+	Anticyclotomic Iwasawa theory of abelian varieties of GL2-type at non-ordinary primes	2024	Ashay Burungale Kâzım Büyükboduk Antonio Lei
+ PDF Chat	The conjecture of Birch and Swinnerton-Dyer for certain elliptic curves with complex multiplication	2024	Ashay Burungale Matthias Flach
+ PDF Chat	<i>p</i>-ADIC <i>L</i>-FUNCTIONS AND RATIONAL POINTS ON CM ELLIPTIC CURVES AT INERT PRIMES	2023	Ashay Burungale Shinichi Kobayashi Kazuto Ota
+ PDF Chat	A note on rank one quadratic twists of elliptic curves and the non-degeneracy of 𝑝-adic regulators at Eisenstein primes	2023	Ashay Burungale Christopher Skinner
+ PDF Chat	Ordinary deformations are unobstructed in the cyclotomic limit	2023	Ashay Burungale Laurent Clozel
+	Anticyclotomic Iwasawa theory of abelian varieties of $\mathrm{GL}_2$-type at non-ordinary primes II	2023	Ashay Burungale Kâzım Büyükboduk Antonio Lei
+	Non-vanishing of Kolyvagin systems and Iwasawa theory	2023	Giada Grossi Ashay Burungale Francesc Castella Christopher Skinner
+ PDF Chat	$$p^\infty $$-Selmer groups and rational points on CM elliptic curves	2022	Ashay Burungale Francesc Castella Christopher Skinner Ye Tian
+	A p-adic Waldspurger Formula and the Conjecture of Birch and Swinnerton-Dyer	2022	Ashay Burungale
+	The conjecture of Birch and Swinnerton-Dyer for certain elliptic curves with complex multiplication	2022	Ashay Burungale Matthias Flach
+	Anticyclotomic Iwasawa theory of abelian varieties of $\mathrm{GL}_2$-type at non-ordinary primes	2022	Ashay Burungale Kâzım Büyükboduk Antonio Lei
+ PDF Chat	A proof of Perrin-Riou’s Heegner point main conjecture	2021	Ashay Burungale Francesc Castella Chan-Ho Kim
+ PDF Chat	Rubin's conjecture on local units in the anticyclotomic tower at inert primes	2021	Ashay Burungale Shinichi Kobayashi Kazuto Ota
+ PDF Chat	The even parity Goldfeld conjecture: Congruent number elliptic curves	2021	Ashay Burungale Ye Tian
+ PDF Chat	On the non-vanishing of <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"><mml:mi>p</mml:mi></mml:math>-adic heights on CM abelian varieties, and the arithmetic of Katz <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"><mml:mi>p</mml:mi></mml:math>-adic <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"><mml:mi>L</mml:mi></mml:math>-functions	2021	Ashay Burungale Daniel Disegni
+	The even parity Goldfeld conjecture: congruent number elliptic curves	2021	Ashay Burungale Ye Tian
+	The Birch and Swinnerton-Dyer Conjecture: A brief survey	2021	Ashay Burungale Christopher Skinner Ye Tian
+	Quantitative non-vanishing of Dirichlet L-values modulo p	2020	Ashay Burungale Hae-Sang Sun
+ PDF Chat	On the non-triviality of the $p$-adic Abel–Jacobi image of generalised Heegner cycles modulo $p$, I: Modular curves	2020	Ashay Burungale
+	Horizontal non-vanishing of Heegner points and toric periods	2019	Ashay Burungale Ye Tian
+	p-converse to a theorem of Gross–Zagier, Kolyvagin and Rubin	2019	Ashay Burungale Ye Tian
+	A proof of Perrin-Riou's Heegner point main conjecture	2019	Ashay Burungale Francesc Castella Chan-Ho Kim
+	Ordinary deformations are unobstructed in the cyclotomic limit	2019	Ashay Burungale Laurent Clozel
+	On the non-vanishing of $p$-adic heights on CM abelian varieties, and the arithmetic of Katz $p$-adic $L$-functions	2018	Ashay Burungale Daniel Disegni
+	Indivisibility of Heegner points and arithmetic applications	2018	Ashay Burungale Francesc Castella Chan-Ho Kim
+	On the non-vanishing of $p$-adic heights on CM abelian varieties, and the arithmetic of Katz $p$-adic $L$-functions	2018	Ashay Burungale Daniel Disegni
+ PDF Chat	p-rigidity and Iwasawa μ-invariants	2017	Ashay Burungale Haruzo Hida
+	Horizontal non-vanishing of Heegner points and toric periods	2017	Ashay Burungale Ye Tian
+	Horizontal variation of Tate--Shafarevich groups	2017	Ashay Burungale Haruzo Hida Ye Tian
+	Non-triviality of generalised Heegner cycles over anticyclotomic towers: a survey	2016	Ashay Burungale
+ PDF Chat	An $$l \ne p$$ l ≠ p -interpolation of genuine p-adic L-functions	2016	Ashay Burungale
+ PDF Chat	ANDRÉ–OORT CONJECTURE AND NONVANISHING OF CENTRAL -VALUES OVER HILBERT CLASS FIELDS	2016	Ashay Burungale Haruzo Hida
+ PDF Chat	ON THE NON-TRIVIALITY OF THE -ADIC ABEL–JACOBI IMAGE OF GENERALISED HEEGNER CYCLES MODULO , II: SHIMURA CURVES	2015	Ashay Burungale
+	On the Non-Triviality of Arithmetic Invariants Modulo p	2015	Ashay Burungale
+ PDF Chat	On the -invariant of the cyclotomic derivative of a Katz<i>p</i>-adic -function	2014	Ashay Burungale
+	On the non-triviality of the $p$-adic Abel-Jacobi image of generalised Heegner cycles modulo $p$, I: modular curves	2014	Ashay Burungale
+	The Vanishing of μ-Invariant of p-adic Hecke L-Functions for CM Fields	2012	Ashay Burungale Ming-Lun Hsieh
+	Corrigendum and Statement on Priority for: Conjugacy Classes and Class Number	2010	Ashay Burungale
+	Conjugacy Classes and Class Number	2009	Ashay Burungale

Common Coauthors

Coauthor	Papers Together
Francesc Castella	5
Ye Tian	5
Christopher Skinner	5
Haruzo Hida	4
Kazuto Ota	4
Shinichi Kobayashi	4
Daniel Disegni	3
Chan-Ho Kim	3
Kâzım Büyükboduk	3
Antonio Lei	3
Laurent Clozel	3
Ye Tian	2
Matthias Flach	2
Xin Wan	1
Ye Tian	1
Shilin Lai	1
Giada Grossi	1
Ye Tian	1
Ming-Lun Hsieh	1
Barry Mazur	1
Seidai Yasuda	1
Hae-Sang Sun	1
Wei He	1

Commonly Cited References

Action	Title	Year	Authors	# of times referenced
+ PDF Chat	Selmer groups and the indivisibility of Heegner points	2014	Wei Zhang	15
+	Heegner points and derivatives ofL-series	1986	Benedict H. Gross Don Zagier	13
+	The Gross-Zagier Formula on Shimura Curves	2012	Xinyi Yuan Shou-wu Zhang Wei Zhang	13
+	The ?main conjectures? of iwasawa theory for imaginary quadratic fields	1991	Karl Rubin	12
+ PDF Chat	The Iwasawa<i>μ</i>-invariant of<i>p</i>-adic Hecke<i>L</i>-functions	2010	Haruzo Hida	12
+ PDF Chat	Generalized Heegner cycles and p-adic Rankin L-series	2013	Massimo Bertolini Henri Darmon Kartik Prasanna	11
+ PDF Chat	A p-adic Waldspurger formula	2018	Yifeng Liu Shou-Wu Zhang Wei Zhang	11
+ PDF Chat	ON THE NON-TRIVIALITY OF THE -ADIC ABEL–JACOBI IMAGE OF GENERALISED HEEGNER CYCLES MODULO , II: SHIMURA CURVES	2015	Ashay Burungale	11
+	p-AdicL-functions for CM fields	1978	Nicholas M. Katz	10
+ PDF Chat	Anti-cyclotomic Katz $p$-adic $L$-functions and congruence modules	1993	Haruzo Hida Jacques Tilouine	10
+ PDF Chat	Anticyclotomic Iwasawa theory of CM elliptic curves	2006	A. Agboola Benjamin Howard	10
+ PDF Chat	On the -invariant of the cyclotomic derivative of a Katz<i>p</i>-adic -function	2014	Ashay Burungale	9
+	Non-triviality of generalised Heegner cycles over anticyclotomic towers: a survey	2016	Ashay Burungale	9
+ PDF Chat	A converse to a theorem of Gross, Zagier, and Kolyvagin	2020	Christopher Skinner	9
+	p-converse to a theorem of Gross–Zagier, Kolyvagin and Rubin	2019	Ashay Burungale Ye Tian	9
+ PDF Chat	Special values of anticyclotomic Rankin-Selberg $L$-functions	2014	Ming-Lun Hsieh	9
+	Abelian Varieties with Complex Multiplication and Modular Functions	1998	Goro Shimura	9
+ PDF Chat	Explicit Gross–Zagier and Waldspurger formulae	2014	Li Cai Jie Shu Ye Tian	8
+ PDF Chat	The Iwasawa Main Conjectures for GL2	2013	Christopher Skinner Eric Urban	8
+	p-adicL-functions and rational points on elliptic curves with complex multiplication	1992	Karl Rubin	8
+ PDF Chat	Shimura Curves and Special Values of p-adic L-functions	2014	Ernest Hunter Brooks	8
+ PDF Chat	Fonctions $L$ $p$-adiques, théorie d'Iwasawa et points de Heegner	1987	Bernadette Perrin-Riou	8
+	Mazur’s conjecture on higher Heegner points	2002	Christophe Cornut	8
+	Hecke orbits as Shimura varieties in positive characteristic	2006	Ching-Li Chai	7
+ PDF Chat	<i>p</i>-adic Rankin<i>L</i>-series and rational points on CM elliptic curves	2012	Massimo Bertolini Henri Darmon Kartik Prasanna	7
+	On the μ-invariant of anticyclotomic <i>p</i>-adic <i>L</i>-functions for CM fields	2012	Ming-Lun Hsieh	7
+ PDF Chat	Nontriviality of Rankin-Selberg <i>L</i>-functions and CM points	2007	Christophe Cornut Vinayak Vatsal	7
+ PDF Chat	The Heegner point Kolyvagin system	2004	Benjamin Howard	7
+ PDF Chat	The Birch and Swinnerton–Dyer formula for elliptic curves of analytic rank one	2017	Dimitar Jetchev Christopher Skinner Xin Wan	7
+	Elliptic Curves and Arithmetic Invariants	2013	Haruzo Hida	7
+	Special values of anticyclotomic $L$-functions	2003	Vinayak Vatsal	7
+	The p-adic Gross-Zagier formula for elliptic curves at supersingular primes	2012	Shinichi Kobayashi	7
+	Every ordinary symplectic isogeny class in positive characteristic is dense in the moduli	1995	Ching-Li Chai	7
+ PDF Chat	Uniform distribution of Heegner points	2002	Vinayak Vatsal	7
+	Conjectures on elliptic curves over quadratic fields	1979	Dorian Goldfeld	6
+	p-Adic Automorphic Forms on Shimura Varieties	2004	Haruzo Hida	6
+ PDF Chat	On the non-vanishing of Hecke <i>L</i>-values modulo <i>p</i>	2012	Ming-Lun Hsieh	6
+	Sur les valeurs de certaines fonctions $L$ automorphes en leur centre de symétrie	1985	J. L. Waldspurger	6
+	L-Functions and Tamagawa Numbers of Motives	2007	Spencer Bloch Kazuya Katô	6
+	Hilbert Modular Forms and Iwasawa Theory	2006	Haruzo Hida	6
+	Tate-Shafarevich groups andL-functions of elliptic curves with complex multiplication	1987	Karl Rubin	6
+	Non-triviality of CM points in ring class field towers	2010	Esther Aflalo Jan Nekovář	5
+	On the conjecture of Birch and Swinnerton-Dyer	1977	J. Coates Andrew Wiles	5
+ PDF Chat	Iwasawa main conjecture for Rankin–Selberg p-adic L-functions	2020	Xin Wan	5
+ PDF Chat	On the non-triviality of the $p$-adic Abel–Jacobi image of generalised Heegner cycles modulo $p$, I: Modular curves	2020	Ashay Burungale	5
+ PDF Chat	Level Raising and Anticyclotomic Selmer Groups for Hilbert Modular Forms of Weight Two	2011	Jan Nekovář	5
+	Irreducibility of the Igusa tower	2008	Haruzo Hida	5
+	p-adic heights of Heegner points and Beilinson-Flach classes	2017	Francesc Castella	5
+	Kolyvagin's method for Chow groups of Kuga-Sato varieties	1992	Jan Nekovář	5
+	Th�orie d'Iwasawa des repr�sentationsp-adiques sur un corps local	1994	Bernadette Perrin-Riou	5