Research

Papers and preprints


  • F. Gatti, X. Guitart: On the elliptic Stark conjecture in higher weights, to appear in Publicacions Matemàtiques. https://arxiv.org/pdf/1903.02430.pdf

  • F. Gatti, X. Guitart, M. Masdeu, V. Rotger: Special values of triple-product p-adic L-functions and non-crystalline diagonal classes, to appear in Journal de Théorie des Nombres de Bordeaux. https://arxiv.org/pdf/1912.07892.pdf

  • F. Gatti, V. Rotger: Kolyvagin classes arising from Heegner points versus non-cristalline diagonal classes, in progress. arxiv.org/pdf/2103.11492.pdf

PhD Thesis


  • The values of the triple product p-adic L-function, March 2021. Pdf

Selected talks


  • The elliptic Stark conjecture in higher weight. 3rd Nisyros Conference on Automorphic Representations and Related Topics, Nysiros (Greece), July 2017.

  • On the elliptic Stark conjecture in higher weights. One-day workshop on Euler systems and p-adic L-functions, Cardedeu, Barcelona, November 2017.

  • Generalized Heegner cycles and p-adic L-functions. Seminari de Teoria de Nombres de Barcelona, Barcelona, January 2018.

  • The elliptic Stark conjecture. 1st BYMAT conference, ICMAT, Madrid, May 2018.

  • Introduction to the Birch and Swinnerton–Dyer conjecture. ICMAT, Madrid, May 2018.

  • Non-cristalline generalized Kato classes and the values of the triple-product p-adic L-function at classical points. Genova (Italy), January 2019.

  • Non-cristalline generalized Kato classes and the values of the triple-product p-adic L-function at classical points. Seminari de Teoria de Nombres de Barcelona, Barcelona, January 2019.

  • Special values of the triple product p-adic L-function and non-cristalline Kolyvagin classes. Fourth one-day workshop in Cardedeu: p-adic, Cardedeu (Barcelona), April 2019.

  • A special case of triple product p-adic L-function and non-cristalline Kato classes. p-adic modular forms: Mini-satellite conference to Journees Arithmetiques XXXI, Istanbul, July 2019.