Mathematical Institute of the University of Bonn

Lectures (in Bonn and Frankfurt)

étale cohomology

• Winter 2021/22: Seminar (S4A1) - Étale cohomology (advanced topics)

• Summer 2021: Lecture (V4A2) - Étale cohomology

• Summer 2020: Lecture (V4A1) - Algebraic Geometry 2

• Winter 2019/20: Lecture (V4A1) - Algebraic Geometry 1
  

• Summer 2019: Lecture (V5A4) - Deligne-Lusztig theory
  

• Winter 2018/19:

  • Lecture (Frankfurt): Elementarmathematik I

  • Lecture (Frankfurt): Funktionentheorie und gewöhnliche Differenzialgleichungen

• Winter 2017/18: Lecture (V5A3) Linear Algebraic Groups

Former teaching (at the TU Munich)

• Winter 2015/16: Organization of the exercise sessions for the lecture ''Mathematik für Physiker 1 (Linear Algebra)'' of Prof. Dr. E. Viehmann

• Winter 2015/16: Advanced seminar ''Special cycles on Shimura varieties'' (with Prof. Dr. E. Viehmann)

• Summer 2015: Organisation of the exercise sessions for the lecture ''Commutative algebra'' of Prof. Dr. C. Liedtke

• Summer 2014: Seminar ''Lie algebras'' (with Prof. Dr. C. Liedtke)

• Summer 2014: Advanced seminar ''Period spaces and maps'' (with B. Werner)

• Winter 2013/14: Seminar ''Classical algebraic geometry'' (with Prof. Dr. C. Liedtke)

• Winter 2013/14: Advanced seminar ''Shimura varieties of infinite level at p'' (with Dr. P. Hamacher), cooperation with Universities of Bielefeld and Paderborn

• Summer 2013: Exercise sessions for the lecture ''Computeralgebra'' of Prof. Dr. G. Kemper

• Summer 2013: Advanced seminar ''Perfectoid spaces'' (with Dr. P. Hamacher)

Supervised theses (bachelor and master)

• About Deligne--Lusztig varieties for \(GL_3\) over finite fields and \(p\)-adic fields,
  (Master thesis, completed 2022)

• Deligne--Lusztig stacks,
  (Master thesis, completed 2021)

• Some examples and applications of Greenberg's structure theorem,
  (Master thesis, completed 2021)

• On modulo \(\ell\) cohomology of \(p\)-adic Deligne--Lusztig varieties for \(GL_n\),
  (Master thesis, completed 2021)

• On extended affine Deligne--Lusztig varieties for \(GL_2\) in characteristic \(2\),
  (Master thesis, completed 2020)

• Poincaré Duality of étale cohomology,
  (Bachelor thesis, completed 2020)

• On some Deligne--Lusztig varieties for orthogonal groups over finite fields,
  (Master thesis, completed 2020)

• Deligne--Lusztig constructions for two dimensional unitary groups,
  (Master thesis, completed 2019)

Last modified: 05.12.2020, Alexander Ivanov