- Burungale, Ashay A. (2022) A
p-adic Waldspurger Formula and the Conjecture of Birch and
Swinnerton-Dyer; Journal of the Indian Institute of Science; Vol.
102; No. 3; 885-894; 10.1007/s41745-022-00313-0
- Burungale, Ashay; Castella, Francesc; et el. (2022) p∞-Selmer
groups and rational points on CM elliptic curves; Annales
mathématiques du Québec; 10.1007/s40316-022-00203-y
- Burungale, Ashay and Tian, Ye (2022) The
even parity Goldfeld conjecture: Congruent number elliptic curves;
Journal of Number Theory; Vol. 230; 161-195; 10.1016/j.jnt.2021.05.001
- Burungale, Ashay; Castella, Francesc; et el. (2021) A
proof of Perrin-Riou’s Heegner point main conjecture; Algebra &
Number Theory; Vol. 15; No. 7; 1627-1653; 10.2140/ant.2021.15.1627
- Burungale, Ashay; Kobayashi, Shinichi; et el. (2021) Rubin’s
conjecture on local units in the anticyclotomic tower at inert
primes; Annals of Mathematics; Vol. 194; No. 3; 943-966; 10.4007/annals.2021.194.3.8
- Burungale, Ashay A. and Disegni, Daniel (2021) On
the non-vanishing of p-adic heights on CM abelian varieties, and the
arithmetic of Katz p-adic L-functions; Annales de l’Institut
Fourier; Vol. 70; No. 5; 2077-2101; 10.5802/aif.3381
- Burungale, Ashay and Sun, Hae-Sang (2020) Quantitative
non-vanishing of Dirichlet L-values modulo p; Mathematische Annalen;
Vol. 378; 317-358; 10.1007/s00208-020-02017-1
- Burungale, Ashay A. and Tian, Ye (2020) p-converse
to a theorem of Gross–Zagier, Kolyvagin and Rubin; Inventiones
Mathematicae; Vol. 220; 211-253; 10.1007/s00222-019-00929-7
- Burungale, Ashay A. and Tian, Ye (2020) Horizontal
non-vanishing of Heegner points and toric periods; Advances in
Mathematics; Vol. 362; Art. No. 106938; 10.1016/j.aim.2019.106938
- Burungale, Ashay A. (2020) On
the non-triviality of the p-adic Abel–Jacobi image of generalised
Heegner cycles modulo p, I: Modular curves; Journal of Algebraic
Geometry; Vol. 29; No. 2; 329-371; 10.1090/jag/748