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E-mail francesc.bars@uab.cat
Position Associate Professor
Research interests Number Theory
Area Algebra Geometry Number Theory And Topology
Group Algebra Geometry Number Theory And Topology
Bars Cortina, Francesc
Biosketch

Associate Professor at UAB since 2008. Pre-doc position at Münster University, in C. Deninger team, between 1998-2000. Prize Evariste Galois 1998 from Societat Catalana de Matemàtiques, IEC, Catalonia. Coorganizer of a research programm on Arithmetic Geometry at CRM, Bellaterra, 2009-10.

Research Group: Barcelona Number Theory Group (STNB)

Website: https://mat.uab.cat/~francesc/publicac.html

Other Research Interests

L-functions Iwasawa theory Drinfeld modules Arithmetic of curves of lower genus and modular curves

Projects

PID2020-116542GB-I00, Ministerio de Ciencia y Universidades of Spanish government Grup consolidat Seminari de Teoria de Nombres, 2021 SGR 01468 (AGAUR)

Selected publications

Bruno Anglès, Andrea Bandini, Francesc Bars, Ignazio Longhi: Iwasawa main conjecture for the Carlitz cyclotomic extension and applications. Math. Ann. 376, No. 1-2, 475-523 (2020).

Francesc Bars, Josep González, Automorhism group of the modular curve $X_0^*(N)$ with square-free levels. Trans. Amer. Math. Soc. 374 (2021), 5783-5803

Eslam Badr, Francesc Bars, Elisa Lorenzo: On twists of smooth plane curves. Math. Comp. 88 (2019), 421--438, Francesc Bars: Bielliptic modular curves. J. Number Theory 76 (1999), no. 1, 154—165

F. Bars, M.Kamel, A. Schweizer: Bielliptic quotient curves of X_0(N). Mathematics of Computation AMS Volume 92, Number 340, (2023), Pages 895–929.

F. Bars, T.Dalal: The modular automorphisms of quotient modular curves. Manuscript, July 2024 (submitted).