Dr. Timo Keller

Lehrstuhl für Computeralgebra
Mathematisches Institut
Universität Bayreuth
95440 Bayreuth, Germany

Zimmer: NW II, 3.2.02.743
Telefon: +49-(0)921-55 3386
E-Mail: "Vorname"."Nachname" "at" uni-bayreuth.de
Lehrstuhl: Michael Stoll
Sprechstunde: nach Vereinbarung


Research interests: Arithmetic Geometry, especially Arithmetic of Abelian schemes, their L-functions and étale, crystalline and flat cohomology; rational points on varieties over number fields


Publications

  1. On the Tate-Shafarevich group of Abelian schemes over higher dimensional bases over finite fields, Manuscripta math. 150, 211–245 (2016)

Preprints

  1. On an analogue of the conjecture of Birch and Swinnerton-Dyer for Abelian schemes over higher dimensional bases over finite fields 48 pp.
  2. Finiteness properties for flat cohomology of varieties over finite fields 11 pp.
  3. A duality theorem for Tate-Shafarevich groups of curves over algebraically closed fields 5 pp.
  4. Cohomology operations in Milnor K-theory mod ℓ, transfer of quadratic forms and Stiefel-Whitney invariants 19 pp.

Theses

PhD Thesis (Extended Edition): On the conjecture of Birch and Swinnerton-Dyer for Abelian schemes over higher dimensional bases over finite fields
PhD Thesis: The conjecture of Birch and Swinnerton-Dyer for Jacobians of constant curves over higher dimensional bases over finite fields


Lectures

Lecture on Brauer groups in arithmetic geometry WS 2018/19.
Topics covered:
  1. Crash course in Galois cohomology and Brauer groups of fields
  2. Crash course in étale cohomology and (cohomological) Brauer groups of schemes
  3. Brauer-Manin obstruction, theorems, examples, conjectures
Lecture notes (I will say and write more in the lecture):
Exercise sets:

Kleine AG:
Kleine Arbeitsgemeinschaft »Algebraische Geometrie und Zahlentheorie«

Bayerische Kleine AG:
Kleine Arbeitsgemeinschaft »Algebraische Geometrie und Zahlentheorie« in Bayern


Schülerzirkel Mathematik Regensburg:
Homepage des Schülerzirkels Mathematik Regensburg