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Administrative data

Zsolt Patakfalvi

zsolt.patakfalvi@epfl.ch http://cag.epfl.ch

EPFL SB MATH CAG
MA C3 635 (Bâtiment MA)
Station 8
1015 Lausanne

See CV here.

Selected publications

Projectivity of the moduli space of stable log-varieties and subadditvity of log-Kodaira dimension

Sándor Kovács and Zsolt Patakfalvi
Published in to appear in Journal of the American Mathematical Society in

Semi-positivity in positive characteristics

Zsolt Patakfalvi
Published in Annales Scientifiques de l’école normale supérieure, vol. 47, no. 5, 991–1025 (2014) in

Generic vanishing in characteristic p > 0 and the characterization of ordinary abelian varieties

Christopher Hacon and Zsolt Patakfalvi
Published in to appear in American Journal of Mathematics in

Viehweg’s hyperbolicity conjecture is true over compact bases

Zsolt Patakfalvi
Published in Advances in Mathematics, vol. 229., 1640–1642 (2012) in

Research

Research

See the description at the CAG webpage.

Teaching & PhD

PhD Students

Emre Alp Özavci, Jefferson Jacques Christophe Baudin, Léo Navarro Chafloque, Yang Zhang

Past EPFL PhD Students

Ursina Schweizer (2021), Emelie Kerstin Arvidsson (2021), Quentin Arthur Frantisek Posva (2022), Linus Erik Rösler (2026)

Courses

Algebra III - rings and fields

MATH-215

This is an introductory course in ring and field theory.

K-stability

MATH-750

The topic is K-stability of Fano varieties, including (as time permits): the definitions, the equivalences of definitions, examples, the connection to the existence Kahler-Einstein metrics, and the construction of the moduli space.