Welcome! Since December 2024, I am a Postdoctoral fellow at the University of Duisburg-Essen in the research group of Massimo Bertolini.

Previous positions:

From March 2024 to June 2024, I was an Invited Researcher at the I.H.E.S..

From March 2023 to February 2024, I was a Postdoctoral fellow at the University of Heidelberg in the research group of Otmar Venjakob.

From March 2022 to December 2022, I was a Postdoctoral fellow at the University of Bordeaux under the supervision of Denis Benois as part of the GALF project.

From March 2021 to February 2022, I was a Postdoctoral fellow at the Università degli Studi di Genova working with Stefano Vigni. I was supported by the INdAM and the research grant: assegni di collaborazione ad attività di ricerca « Ing. G. Schirillo ».

From August 2018 to December 2020, I was a Postdoctoral fellow at the Max Planck Institute for Mathematics. In Fall 2020, I was also a (remote) Postdoctoral participant of the program Cohomology in Arithmetic held at the Centre de Recherches Mathématiques in Montréal.

My Ph.D. advisor is Antonio Lei.

I am interested in number theory, especially in Iwasawa theory and p‑adic Hodge theory.

Contact & C.V.

Address:

Thea-Leymann-Str. 9, 45127 Essen, Germany

Office:

WSC-O-3.44

Phone:

+49201183

E-mail:

gautier.ponsinet@uni-due.de

Other e-mail addresses:

• gponsinet@gmail.com
• gautier@gautierponsinet.xyz

C.V. :

PDF

Teaching

Winter Semester 2025/2026:

• Number theory seminar: elliptic curves, with Xiaoyu Zhang.
• Modular forms I, with Xiaoyu Zhang.

Previous teaching:

Summer Semester 2025:

• Number theory seminar: modular forms, with Xiaoyu Zhang. Moodle page.
• Modular forms II, with Xiaoyu Zhang. Moodle page.

Articles

arXiv:

ponsinet_g_1

ORCID:

0000-0003-2297-268X

MathSciNet:

1210959

Submitted

• On a characterisation of perfectoid fields by Iwasawa theory
  

  arXiv:

  2507.21801

• Bloch-Kato groups over perfectoid fields and Galois theory of p‑adic periods
  

  arXiv:

  2412.00227

• On the Iwasawa invariants of Kato's zeta elements for modular forms
  with C.-H. Kim and J. Lee
  

  arXiv:

  1909.01764

Published

• Universal norms and the Fargues–Fontaine curve
  Mathematische Annalen, Vol. 392, pp. 2853-2912 (2025)
  

  DOI (journal):

  10.1007/s00208-025-03131-8

  arXiv:

  2010.02292

  Videos of talks about it: YouTube (~1h), YouTube (~20min).
• On Shafarevich–Tate groups and analytic ranks in families of modular forms, II. Coleman families
  with M. R. Pati and S. Vigni
  Mathematical Research Letters, Vol. 31, No. 3, pp. 861-913 (2024)
  

  DOI (journal):

  10.4310/MRL.241113043906

  arXiv:

  2112.11847

• On the Mordell–Weil ranks of supersingular abelian varieties in cyclotomic extensions
  with A. Lei
  Proceedings of the American Mathematical Society, Ser. B, Vol. 7, pp. 1-16 (2020)
  

  DOI (journal):

  10.1090/bproc/43

  arXiv:

  1807.07604

• On the structure of signed Selmer groups
  Mathematische Zeitschrift, Vol. 294, Issue 3-4, pp. 1635-1658 (2020)
  

  DOI (journal):

  10.1007/s00209-019-02328-3

  arXiv:

  1807.07607

• Functional equations for multi-signed Selmer groups
  with A. Lei
  Annales Mathématiques du Québec, Vol. 41, Issue 1, pp. 155-167 (2017)
  

  DOI (journal):

  10.1007/s40316-016-0063-9

  arXiv:

  1601.04999