Dr. Timo Keller

Contact information

Lehrstuhl für Computeralgebra
Mathematisches Institut
Universität Bayreuth
Universitätsstraße 30
95440 Bayreuth, Germany

Zimmer: Gebäude NW II, Raum 3.2.02.737
Telefon: +49-(0)921-55 3384
E-Mail: "Vorname""Punkt""Nachname" "at" uni"Minus"bayreuth"Punkt"de public GPG key
Arbeitsgruppe: Prof. Dr. Michael Stoll
Lehrstuhl: Mathematik II (Computeralgebra, Algorithmische Arithmetische Geometrie)
Sprechstunde: nach Vereinbarung

Research interests

Arithmetic Geometry, especially arithmetic and computational aspects of modular abelian varieties, rational points, L-functions and étale cohomology

Publications

Published

  1. On an Analogue of the Conjecture of Birch and Swinnerton-Dyer for Abelian Schemes over Higher Dimensional Bases over Finite Fields, Doc. Math. 24 (2019), 915–993. DOI: 10.25537/dm.2019v24.915-993
  2. A duality theorem for Tate–Shafarevich groups of curves over algebraically closed fields, Abh. Math. Semin. Univ. Hambg. (2018) 88(2), 289–295. DOI: 10.1007/s12188-018-0196-7
  3. On the Tate-Shafarevich group of Abelian schemes over higher dimensional bases over finite fields, manuscripta math. (2016) 150(1–2), 211–245. DOI: 10.1007/s00229-015-0803-1

Preprints

  1. Efficient irreducibility of residual Galois representations of abelian surfaces with RM over Q (Poster)
  2. Finiteness theorems for flat cohomology over finite fields
  3. Cohomology operations in Milnor K-theory mod ℓ, transfer of quadratic forms and Stiefel-Whitney invariants

In preparation

  1. Reduction Theorems for an Analogue of the Conjecture of Birch and Swinnerton-Dyer over Higher Dimensional Bases over Finite Fields

Activities

Oberseminar Arithmetische Geometrie

Friday, 12:00–13:30 in S82

Bayerische Arbeitsgemeinschaft

Bayerische Arbeitsgemeinschaft »Algebraische Geometrie und Zahlentheorie«
Next topic: Topological Modular Forms, Bayreuth, December 14, 2019

Kleine AG

Kleine Arbeitsgemeinschaft »Algebraische Geometrie und Zahlentheorie«
Last modified: December 2 2019
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