Mathematical Institute of the University of Bonn

Teaching (WS 2022/23)

• V4A3 - Representation Theory II
  Wednesdays 10–12 and Fridays 10–12 in the Zeichensaal at Wegeler Str. 10.
  The lectures are planned to be held in person at the location above.

The first lecture is on October 12.


• Oberseminar Darstellungstheorie
  Fridays, 14-16 (SR 1.008)

Teaching (SS 2022)

• V4A3 - Representation Theory I
  Wednesdays 10-12, Fridays 8-10 (Kleiner Hörsaal, Wegeler Str. 10)
  
  In this course we will give an introduction into semisimple Lie algebras. This will involve the basic notions and classifications, but then in particular their representation theory.
  
  Regarding the exam: The Klausureinsicht will take place Monday 25. Juli at noon. The precise room will be announced on the course webpage.

• S4A2 Graduate Seminar on Representation Theory: Bow varieties and 3d mirror symmetry
  Fridays, 10-12 (SR 0.006)
  
  Description: Bow varieties are constructed via symplectic reduction of certain affine varieties generalizing the construction of Nakajima quiver varieties. Due to their construction, these varieties are equipped with rich structures such as a symplectic form and tautological bundles. The family of Bow varieties is of recent interest in mathematics because this family is the natural collection of varieties to study the 3d mirror symmetry phenomenon. This is a prediction from theoretical physics stating that there is an intimate relationship between a bow variety and its dual bow variety. Mathematical manifestations of this phenomenon lead to interesting applications in algebraic geometry and representation theory. We will study these varieties and see some applications.

• Oberseminar Darstellungstheorie
  Fridays, 14-16 (SR 1.008)
  
  

Teaching (WS 2021/22)

• V4A5 Advanced Algebra I (with J. Matherne)
  
  These lectures will give an introduction to canonical bases and crystals (Good knowledge on Lie theory is required and knowledge on quantum groups helpful.) Wednesdays 10-12, Fridays 10-12

• V4A5 Exercises to Advanced Algebra I
  Wednesdays 16-18

• S4A3 Graduate Seminar on Advanced Algebra (with. T. Heidersdorf) pdf
  


• Oberseminar Darstellungstheorie
  Fridays, 14-16 (SR 1.008)
  

Sabbatical in Summer 2021

Teaching (WS 2020/21)

• V5A5 Advanced Topics in Representation Theory

• S4A2 Graduate Seminar on knot homology (jointly with P. Wedrich)
  
• S4A2 Graduate Seminar on Real Reductive Groups and d-Modules (run by Jens Eberhardt)

Teaching Summer Semester 2020

• V5A5 Advanced Topics in Representation Theory
• S4A3 Graduate Seminar on Advanced Algebra/Supermathematics (Dr. Thorsten Heidersdorf)
  S4A2 Graduate Seminar on Representation Theory (with Dr. Pieter Belmans)
  
• Oberseminar Darstellungstheorie (with Dr. Pieter Belmans)

Teaching (WS 2019/20)

• V4A4 Representation Theory II (with. Dr. Pieter Belmans)
• S4A3 Graduate Seminar on Advanced Algebras/Hall Algebras (with Dr. Jens Eberhardt)
  
• S4A1 Graduate Seminar on Algebraic Geometry (with Prof. Oberdieck)
  
• Oberseminar Darstellungstheorie (with Dr. Paul Wedrich)
  

Teaching (SoSe 2019)

V4A3 Representation Theory I

S4A2 Graduate Seminar on Representation Theory

Oberseminar Darstellungstheorie

Teaching (WS 2018/19)

Algebra II V3A2/F4A1

S4A2 Graduate Seminar on Representation Theory

Graduate Seminar on cohomological Hall algebras

Oberseminar Darstellungstheorie

Oberseminar Representation Theory

Teaching (SoSe 2018)

Forschungsfreisemester

Teaching (WS 2017/18)

Einführung in die Algebra V2A1/MB10

Oberseminar Darstellungstheorie

Graduate Seminar on Representation Theory (S4A2)

Teaching (SoSe 2017)

  

Lineare Algebra II (V1G4)

Seminar Darstellungstheorie (S1G1)

Oberseminar Darstellungstheorie

Graduate Seminar on Representation Theory

Teaching (WS 2016/17)

Lineare Algebra I (V1G3)

Oberseminar Darstellungstheorie

Graduate Seminar on Representation Theory (S4A2)

Teaching (SoSe 2016)

Advanced Algebra I – Introduction to algebraic categorification (V4A5)

Graduate Seminar on Advanced Algebra (S4A3)

Graduate Seminar on Representation Theory (S4A2)

Oberseminar Darstellungstheorie