Daniel Disegni

Professor, Université d'Aix-Marseille / Institut de Mathématiques de Marseille (I2M)

Associate Professor, Ben-Gurion University of the Negev (on leave during 2023-24)

Office: 324, bâtiment TPR2

Mail: case 907, campus de Luminy - 13288 Marseille, France

Enseignementici

"CV": at AMU since 2023, at BGU since 2018, previously postdoc at Orsay, McGill, MSRI.

Ph.D. from Columbia, 2013 (advisor: Shou-Wu Zhang).

Postdoctoral and Ph.D. fellowships at AMU or BGU may be available.

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

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.)

[13]Gan-Gross-Prasad cycles and derivatives of p-adic L-functions(with Wei Zhang), preprint [pdf]

[12]Euler systems for conjugate-symplectic motives, preprint [pdf] [slides]

[11]Theta cycles and the Beilinson-Bloch-Kato conjectures, [pdf]

Journal of Number Theory (special issue: Proceedings of the Second JNT Biennial Conference 2022), to appear.

[10]A p-adic arithmetic inner product formula(with Yifeng Liu) [pdf]

Inventiones mathematicae 236-1 (2024), 219-371.

[9] The universal p-adic Gross-Zagier formula [pdf including a correction as Appendix B]

Inventiones mathematicae 230-2 (2022), 509-649; correction to appear.

[8] p-adic L-functions via local-global interpolation: the case of GL_2 × GU(1) [pdf]

Canadian Journal of Mathematics 75-3 (2023), 965-1017.

[7] The p-adic Gross-Zagier formula on Shimura curves, II: nonsplit primes [pdf including a correction as Appendix C]

Journal de l'Institut de Mathématiques de Jussieu 22-5 (2023), 2199-2240; correction to appear.

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

Commentarii Mathematici Helvetici 97-4 (2022), 635-668.

[5] Local Langlands correspondence, local factors, and zeta integrals in analytic families [pdf]

Journal of the London Mathematical Society 101-2 (2020), 735-764. Errata in [8], Appendix B.

[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. Errata 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.

Some seminars and conferences

Conference "Arithmetic theta series and p-adic modular forms" (Cetraro, June 3-7, 2024)

Séminaire Représentations des Groupes Réductifs (RGR) (I2M)

The HUJI-BGU Workshop in Arithmetic (2019-)

The HUJI-BGU Number Theory Seminar (2020-2021)