Lecturer

Department of Mathematics

Ben-Gurion University of the Negev

P.O. Box 653

Be'er Sheva 84105

Israel/...

Office: 108

Email: disegni {at} bgu.ac.il

Before coming to BGU I was a postdoc at Orsay, McGill, and MSRI. I obtained my Ph.D. from Columbia in 2013 (advisor: Shou-Wu Zhang).

Postdoctoral and Ph.D. fellowships at BGU are available.

Candidates with compatible research interests are encouraged to email with any questions.

The HUJI-BGU Number Theory Seminar

The HUJI-BGU Workshop in Arithmetic

Research

I am interested in the arithmetic of algebraic varieties and its relation to (p-adic) L-functions.

(What is this? The Afterword to my thesis was written to explain it to friends and family and the general public. My thesis was a preliminary version of paper [1] below.)

Papers and preprints

(For published papers, the version appearing here may differ slightly from the journal version; for preprints, the version appearing here may differ slightly from, and be more up-to-date than, the arXiv version.)

[9] The universal p-adic Gross-Zagier formula, preprint [pdf]

(last update: 09/2021)

[8] p-adic L-functions for GL_2 × GU(1), preprint [pdf]

(last update: 02/2021)

[7] The p-adic Gross-Zagier formula on Shimura curves, II: nonsplit primes, preprint [pdf]

(last update: 09/2021)

[6] p-adic equidistribution of CM points, preprint [pdf]

(last update: 03/2021)

[5] Local Langlands correspondence, L-functions and zeta integrals in analytic families [pdf]

Journal of the London Mathematical Society 101-2 (2020), 735-764.

[4] On the non-vanishing of p-adic heights on CM abelian varieties, and the arithmetic of Katz p-adic L-functions (with Ashay Burungale) [pdf]

Annales de l'Institut Fourier, 70-5 (2020), 2077-2101.

[3] On the p-adic Birch and Swinnerton-Dyer conjecture for elliptic curves over number fields [pdf]

Kyoto Journal of Mathematics 60-2 (2020), 473-510.

[2] The p-adic Gross-Zagier formula on Shimura curves [pdf]

Compositio Mathematica 153-10 (2017), 1987-2074.

The main result is off by a factor of 2. A list of errata to this paper is in part II ([7] above), Appendix B.

[1] p-adic heights of Heegner points on Shimura curves [pdf]

Algebra & Number Theory 9-7 (2015), 1571-1646.

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