@article{https://authors.library.caltech.edu/records/cdmzn-kdq67, author = "Burungale, Ashay A.", title = "A p-adic Waldspurger Formula and the Conjecture of Birch and Swinnerton-Dyer", year = "2022", url = "https://resolver.caltech.edu/CaltechAUTHORS:20221028-653838600.6", id = "https://authors.library.caltech.edu/records/cdmzn-kdq67", issn = "0970-4140", doi = "10.1007/s41745-022-00313-0", volume = "102", number = "3", pages = "885-894" } @article{https://authors.library.caltech.edu/records/1791g-a9y92, author = "Burungale, Ashay and Castella, Francesc and Skinner, Christopher and Tian, Ye", title = "p∞-Selmer groups and rational points on CM elliptic curves", year = "2022", url = "https://resolver.caltech.edu/CaltechAUTHORS:20220802-744239000", id = "https://authors.library.caltech.edu/records/1791g-a9y92", issn = "2195-4755", doi = "10.1007/s40316-022-00203-y" } @article{https://authors.library.caltech.edu/records/nawb8-1r938, author = "Burungale, Ashay and Tian, Ye", title = "The even parity Goldfeld conjecture: Congruent number elliptic curves", year = "2022", url = "https://resolver.caltech.edu/CaltechAUTHORS:20210714-164422990", id = "https://authors.library.caltech.edu/records/nawb8-1r938", issn = "0022-314X", doi = "10.1016/j.jnt.2021.05.001", volume = "230", pages = "161-195" } @article{https://authors.library.caltech.edu/records/zq3sc-8jx23, author = "Burungale, Ashay and Castella, Francesc and Kim, Chan-Ho", title = "A proof of Perrin-Riou's Heegner point main conjecture", year = "2021", url = "https://resolver.caltech.edu/CaltechAUTHORS:20211130-203141758", id = "https://authors.library.caltech.edu/records/zq3sc-8jx23", issn = "1944-7833", doi = "10.2140/ant.2021.15.1627", volume = "15", number = "7", pages = "1627-1653" } @article{https://authors.library.caltech.edu/records/8svwt-jn031, author = "Burungale, Ashay and Kobayashi, Shinichi and Ota, Kazuto", title = "Rubin's conjecture on local units in the anticyclotomic tower at inert primes", year = "2021", url = "https://resolver.caltech.edu/CaltechAUTHORS:20211208-951535000", id = "https://authors.library.caltech.edu/records/8svwt-jn031", issn = "0003-486X", doi = "10.4007/annals.2021.194.3.8", volume = "194", number = "3", pages = "943-966" } @article{https://authors.library.caltech.edu/records/68ph6-am867, author = "Burungale, Ashay A. and Disegni, Daniel", title = "On the non-vanishing of p-adic heights on CM abelian varieties, and the arithmetic of Katz p-adic L-functions", year = "2021", url = "https://resolver.caltech.edu/CaltechAUTHORS:20210528-104049998", id = "https://authors.library.caltech.edu/records/68ph6-am867", issn = "1777-5310", doi = "10.5802/aif.3381", volume = "70", number = "5", pages = "2077-2101" } @article{https://authors.library.caltech.edu/records/ax54e-sse24, author = "Burungale, Ashay and Sun, Hae-Sang", title = "Quantitative non-vanishing of Dirichlet L-values modulo p", year = "2020", url = "https://resolver.caltech.edu/CaltechAUTHORS:20200710-102009367", id = "https://authors.library.caltech.edu/records/ax54e-sse24", issn = "0025-5831", doi = "10.1007/s00208-020-02017-1", volume = "378", pages = "317-358" } @article{https://authors.library.caltech.edu/records/va3nw-phx39, author = "Burungale, Ashay A. and Tian, Ye", title = "p-converse to a theorem of Gross–Zagier, Kolyvagin and Rubin", year = "2020", url = "https://resolver.caltech.edu/CaltechAUTHORS:20191104-080339248", id = "https://authors.library.caltech.edu/records/va3nw-phx39", issn = "0020-9910", doi = "10.1007/s00222-019-00929-7", volume = "220", pages = "211-253" } @article{https://authors.library.caltech.edu/records/pby48-75q47, author = "Burungale, Ashay A. and Tian, Ye", title = "Horizontal non-vanishing of Heegner points and toric periods", year = "2020", url = "https://resolver.caltech.edu/CaltechAUTHORS:20200102-101210515", id = "https://authors.library.caltech.edu/records/pby48-75q47", issn = "0001-8708", doi = "10.1016/j.aim.2019.106938", volume = "362", pages = "Art. No. 106938" } @article{https://authors.library.caltech.edu/records/5n08d-y2286, author = "Burungale, Ashay A.", title = "On the non-triviality of the p-adic Abel–Jacobi image of generalised Heegner cycles modulo p, I: Modular curves", year = "2020", url = "https://resolver.caltech.edu/CaltechAUTHORS:20200312-112116706", id = "https://authors.library.caltech.edu/records/5n08d-y2286", issn = "1056-3911", doi = "10.1090/jag/748", volume = "29", number = "2", pages = "329-371" }