Prof. Dr. Thomas Krämer
Contact
| thomas.kraemer@mathematik.tu-chemnitz.de | |
| Office | C46.615 | Address | TU Chemnitz Fakultät für Mathematik Reichenhainer Str. 39 / 09126 Chemnitz |
Research
I work in algebraic and arithmetic geometry. Among other things I am interested in subvarieties of abelian varieties, the topology and arithmetic of irregular varieties, perverse sheaves and representation theory.
You can find my publications here: 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.
Research Group
- Dr. Constantin Podelski
- Aaron Beumer (PhD student)
- Khanh Hung Nguyen (PhD student)
- Xiaoxiang Zhou (PhD student)
Teaching
In the summer 2026, I am teaching the following classes:
Lecture Notes
Here are some notes from my lectures: Lecture Notes
- Linear Algebra II (Summer 2025) [Notes] [Extra] [Problems]
- Linear Algebra I (Winter 24/25) [Notes] [Problems]
- Class Field Theory (Winter 23/24) [Notes] [Problems]
- Intersection Theory (Summer 2023) [Notes] [Problems]
- Algebraic Geometry II (Winter 22/23) [Notes] [Problems]
- Algebraic Geometry I (Summer 2022) [Notes] [Problems]
- Algebra and Complex Analysis (Winter 21/22) [Notes] [Problems]
- Elliptic Curves (Winter 19/20) [Notes] [Problems]
- Algebraic D-Modules (Summer 2019) [Notes] [Problems]
- Commutative Algebra (Winter 18/19) [Notes] [Problems]
- Representation Theory (Winter 17/18) [Notes] [Problems]
- Number Theory (Summer 2017) [Notes] [Problems]
Other activities
Links