Daniel Disegni
Professor, Université d'Aix-Marseille / Institut de Mathématiques
de Marseille (I2M)
Associate Professor, Ben-Gurion University of the Negev (on leave
during 2023-25)
Email: daniel.disegni {at} univ-amu.fr
Office: 324, bâtiment TPR2
Mail: case 907, campus de Luminy
- 13288 Marseille, France
Enseignement
ici
"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 in JIMJ 23-6 (2024), 2543-2548.
[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
Séminaire Représentations des Groupes
Réductifs (RGR) (I2M)
Conference
"Arithmetic theta series and p-adic modular forms" (Cetraro,
June 3-7, 2024)
The
HUJI-BGU Workshop in Arithmetic (2019-)
The
HUJI-BGU Number Theory Seminar (2020-2021)