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Kudla--Rapoport cycles and derivatives of local densities, (with Chao Li), arxiv:1908.01701.
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A majority of elliptic curves over Q satisfy the Birch and Swinnerton-Dyer conjecture. (with Manjul Bhargava, Christopher Skinner) preprint, Arxiv.
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Regular formal moduli spaces and arithmetic transfer conjectures (with M. Rapoport, B. Smithling), Math. Annalen., 2018, Vol. 370, 1079--1175.
On the arithmetic transfer conjecture for exotic smooth formal moduli spaces. (with M. Rapoport, B. Smithling). Duke Math. J., Vol. 166, Number 12 (2017), 2183--2336.
Selmer groups and the indivisibility of Heegner points. Cambridge Journal of Math., Vol. 2 (2014), No. 2, 191--253.
The Birch--Swinnerton-Dyer conjecture and Heegner points: a survey. Current Developments in Mathematics, Volume 2013, 169--203.
Fourier transform and the global Gan-Gross-Prasad conjecture for unitary groups. Ann. of Math. Vol. 180 (2014), Issue 3, 971--1049
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Automorphic period and the central value of Rankin-Selberg L-function. J. Amer. Math. Soc. 27 (2014), 541-612.
On the Arithmetic Fundamental Lemma in the minuscule case (with Michael Rapoport, Ulrich Terstiege), Compositio Mathematica, 2013, volume 149, issue 10, pp. 1631-1666. Arxiv.
Harmonic analysis for relative trace formula. in ?Automorphic Representations and L-Functions", edited by: D. Prasad, C. S. Rajan, A. Sankaranarayanan, and J. Sengupta, Tata Institute of Fundamental Research, 2013, Mumbai, India. ISBN-10: 93-80250-49-5, ISBN-13: 978-93-80250-49-6
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On arithmetic fundamental lemmas, Invent. Math., Volume 188, Number 1 (2012), 197-252.
The Gross-Zagier formula on Shimura curves (with Xinyi Yuan, Shou-Wu Zhang). Annals of Math. Studies vol. 184, Princeton University Press, 2012.
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