Giada Grossi

Chargée de Recherche en mathématiques au CNRS

E-mail: grossi[AT]math[dot]univ-paris13[dot]fr

LAGA
Université Sorbonne Paris Nord (Paris 13)
99, avenue Jean-Baptiste Clément
93430 - Villetaneuse

I am Chargée de Recherche with the CNRS at LAGA since October 2022. I visited the MSRI for the special programme Algebraic Cycles, L-Values, and Euler Systems from January till May 2023. Previosuly, I was an FSMP postdoc at LAGA with Jacques Tilouine and before that, I was a Ph.D. student at the London School of Geometry and Number Theory working under the supervision of Sarah Zerbes.


Research

My research area is Number Theory and Arithmetic Geometry and, more precisely, I am interested in Iwasawa theory, Euler systems, special values of L-functions, automorphic forms and cohomology of Shimura varieties.


Preprints

[8.] Non-vanishing of Kolyvagin systems and Iwasawa theory, with A. Burungale, F. Castella, and C. Skinner.
Preprint, 2023, Oberwolfach report.
[7.] Asai-Flach classes and p-adic L-functions, with D. Loeffler and S. Zerbes.
Preprint, 2023.
[6.] P-adic Asai L-functions for quadratic Hilbert eigenforms, with D. Loeffler and S. Zerbes.
Preprint, 2023.
[5.] Mazur's main conjecture at Eisenstein primes, with F. Castella and C. Skinner.
Preprint, 2023.
[4.] Higher Hida theory for Hilbert modular varieties in the totally split case
Preprint, 2021.
[3.] On the anticyclotomic Iwasawa theory of rational elliptic curves at Eisenstein primes, with F. Castella, J. Lee and C. Skinner.
Invent. Math., 227, 517–580 (2022).
[2.] Finite descent obstruction for Hilbert modular varieties, with G. Baldi
arXiv, 2019, Canadian Mathematical Bulletin, Volume 64 , Issue 2 , June 2021 , pp. 452 - 473.
[1.] On norm relations for Asai-Flach classes
arXiv, 2018, Int. J. Number Theory 16, No. 10, 2311-2377 (2020).

Notes and theses

Euler systems and their applications, Ph.D. thesis (2020, UCL).
Root numbers for Artin twists of elliptic curves, Note about root numbers and L-functions associated to compatible systems of l-adic representations, focusing on the case of Artis twists of elliptic curves. We also generalise a result by Rohlrich.
Heegner points and a p-adic Gross-Zagier formula, Master thesis