Prof. Dr. Thomas Krämer

Professor of Complex Algebraic Geoemtry

Address

University of Hamburg

Department of Mathematics

AD – Analysis and Differential Geometry

Bundesstraße 55

20146 Hamburg

Office

Room: 217

Contact

Email: thomas.kraemer"AT"uni-hamburg.de

Research interests

algebraic and arithmetic geometry
subvarieties of abelian varieties
topology and arithmetic of irregular varieties
perverse sheaves
representation theory

Publications

E6-local systems from cubic threefolds
With Daniel Litt and Marco Maculan. Preprint (2026).
The Shafarevich conjecture for varieties with globally generated cotangent
With Marco Maculan. Preprint (2025).
Arithmetic finiteness of very irregular varieties
With Marco Maculan. Duke Math. J. (to appear).
Exceptional Tannaka groups only arise from cubic threefolds
With C. Lehn and M. Maculan. J. Reine Angew. Math. 830 (2026) 51-99.
The monodromy of families of subvarieties on abelian varieties
With A. Javanpeykar, C. Lehn and M. Maculan. Duke Math. J. 174 (2025) 1045-1149.
Semicontinuity of Gauss maps and the Schottky problem
With Giulio Codogni. Math. Annalen 382 (2022) 607-630.
Characteristic cycles and the microlocal geometry of the Gauss map I
Ann. Sci. ENS 55 (2022) 1475-1527.´
Characteristic cycles and the microlocal geometry of the Gauss map II
J. Reine Angew. Math. 774 (2021) 53-92.
Summands of theta divisors on Jacobians
Compos. Math. 156 (2020) 1457-1475.
Characteristic classes and Hilbert-Poincaré series for perverse sheaves
Selecta Math. 22 (2016) 1337-1356.
Cubic threefolds, Fano surfaces and the monodromy of the Gauss map
Manuscripta Math. 149 (2016) 303-314.
On the Tannaka group attached to the theta divisor of a generic ppav
With R. Weissauer. Math. Zeitschrift 281 (2015) 723-745.
On a family of surfaces of general type attached to abelian fourfolds
Int. Math. Res. Notices IMRN 24 (2015) 13062-13105.
Semisimple super Tannakian categories with a small tensor generator
With R. Weissauer. Pacific J. Math. 276 (2015) 229-248.
Vanishing theorems for constructible sheaves on abelian varieties
With R. Weissauer. J. Alg. Geom. 24 (2015) 531-568.
Perverse sheaves on semiabelian varieties
Rendiconti Semin. Mat. Padova 132 (2014) 83-102.