Slides of the ICM plenary talk 2022: The Beauty of Braids
ICM plenary talk 2022: The Beauty of Braids

Our working group:
Algebra and Representation Theory in Bonn 

Research:

Publications/Preprints (see also the arxiv)

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Teaching (WS 2022/23)


Some information about the seminars next semester will appear on that page over the weekend.




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)
  
  


Teaching (former years)






PhD / Diploma / Master / Bachelor students

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Math Talks/Veranstaltungskalender

• fdlist

• Hausdorff Kolloquium
• Hirzebruch Lectures

• The n-Category Cafe

Applications for a PhD via the Bonn International Graduate School (BIGS)

Google Scholar Profile
MathSciNet Profile
Math. Genealogy Profile