<h1>Burungale, Ashay A.</h1> <h2>Article from <a href="https://authors.library.caltech.edu">CaltechAUTHORS</a></h2> <ul> <li>Burungale, Ashay A. (2022) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20221028-653838600.6">A p-adic Waldspurger Formula and the Conjecture of Birch and Swinnerton-Dyer</a>; Journal of the Indian Institute of Science; Vol. 102; No. 3; 885-894; <a href="https://doi.org/10.1007/s41745-022-00313-0">10.1007/s41745-022-00313-0</a></li> <li>Burungale, Ashay and Castella, Francesc, el al. (2022) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20220802-744239000">p∞-Selmer groups and rational points on CM elliptic curves</a>; Annales mathématiques du Québec; <a href="https://doi.org/10.1007/s40316-022-00203-y">10.1007/s40316-022-00203-y</a></li> <li>Burungale, Ashay and Tian, Ye (2022) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20210714-164422990">The even parity Goldfeld conjecture: Congruent number elliptic curves</a>; Journal of Number Theory; Vol. 230; 161-195; <a href="https://doi.org/10.1016/j.jnt.2021.05.001">10.1016/j.jnt.2021.05.001</a></li> <li>Burungale, Ashay and Castella, Francesc, el al. (2021) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20211130-203141758">A proof of Perrin-Riou's Heegner point main conjecture</a>; Algebra & Number Theory; Vol. 15; No. 7; 1627-1653; <a href="https://doi.org/10.2140/ant.2021.15.1627">10.2140/ant.2021.15.1627</a></li> <li>Burungale, Ashay and Kobayashi, Shinichi, el al. (2021) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20211208-951535000">Rubin's conjecture on local units in the anticyclotomic tower at inert primes</a>; Annals of Mathematics; Vol. 194; No. 3; 943-966; <a href="https://doi.org/10.4007/annals.2021.194.3.8">10.4007/annals.2021.194.3.8</a></li> <li>Burungale, Ashay A. and Disegni, Daniel (2021) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20210528-104049998">On the non-vanishing of p-adic heights on CM abelian varieties, and the arithmetic of Katz p-adic L-functions</a>; Annales de l'Institut Fourier; Vol. 70; No. 5; 2077-2101; <a href="https://doi.org/10.5802/aif.3381">10.5802/aif.3381</a></li> <li>Burungale, Ashay and Sun, Hae-Sang (2020) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20200710-102009367">Quantitative non-vanishing of Dirichlet L-values modulo p</a>; Mathematische Annalen; Vol. 378; 317-358; <a href="https://doi.org/10.1007/s00208-020-02017-1">10.1007/s00208-020-02017-1</a></li> <li>Burungale, Ashay A. and Tian, Ye (2020) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20191104-080339248">p-converse to a theorem of Gross–Zagier, Kolyvagin and Rubin</a>; Inventiones Mathematicae; Vol. 220; 211-253; <a href="https://doi.org/10.1007/s00222-019-00929-7">10.1007/s00222-019-00929-7</a></li> <li>Burungale, Ashay A. and Tian, Ye (2020) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20200102-101210515">Horizontal non-vanishing of Heegner points and toric periods</a>; Advances in Mathematics; Vol. 362; Art. No. 106938; <a href="https://doi.org/10.1016/j.aim.2019.106938">10.1016/j.aim.2019.106938</a></li> <li>Burungale, Ashay A. (2020) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20200312-112116706">On the non-triviality of the p-adic Abel–Jacobi image of generalised Heegner cycles modulo p, I: Modular curves</a>; Journal of Algebraic Geometry; Vol. 29; No. 2; 329-371; <a href="https://doi.org/10.1090/jag/748">10.1090/jag/748</a></li> </ul>