Daniel Disegni
Professor, Université d'Aix-Marseille / Institut de Mathématiques de
Marseille
Lecturer, Ben-Gurion University of the Negev (on leave during
2023-24)
Email: daniel.disegni {at} univ-amu.
"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 BGU are available.
Candidates with compatible research interests are encouraged to
email with any questions.
Enseignement
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] Euler systems for conjugate-symplectic motives, in
preparation [slides]
[12] Gan-Gross-Prasad cycles and derivatives of p-adic
L-functions (with Wei Zhang), preliminary draft [pdf]
[11] Theta cycles and the Beilinson-Bloch-Kato
conjectures, preprint [pdf]
[10] A p-adic arithmetic inner product formula (with Yifeng
Liu), preprint [pdf]
[9] The universal p-adic
Gross-Zagier formula [pdf]
Inventiones mathematicae 230 (2022), 509-649.
[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]
Journal de l'Institut de Mathématiques de Jussieu 22-5 (2023),
2199-2240.
The proof has a gap, correction coming soon (under some ramification
restrictions).
[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. 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.
Some seminars
The HUJI-BGU
Workshop in Arithmetic (2019-)
The
HUJI-BGU Number Theory Seminar (2020-2021)
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