Johannes Flake
Postdoc at RWTH Aachen with Ghislain Fourier
PhD from Rutgers University (2018) with Siddhartha Sahi
Lehrstuhl B für Mathematik (Algebra)
RWTH Aachen University
Pontdriesch 10-16
52062 Aachen, Germany
Office: room 402, building no. 1952
Email: second name at mathb dot rwth minus aachen dot de
**workshop** Deligne categories and quantum groups (Mar 30 – Apr 3, 2020)

Research
I am interested in algebra and representation theory, more specifically: Lie algebras, Hecke algebras, Hopf algebras, PBW deformations, Dirac operators and Dirac cohomology, vertex operator algebras, monoidal categories, diagram algebras, ...
preprint with Robert Laugwitz: *On the Monoidal Center of Deligne's Category Rep(S_t)*, January 2019
preprint with Siddhartha Sahi: *Hopf-Hecke algebras, infinitesimal Cherednik algebras and Dirac cohomology*, August 2016
articlepreprint *Barbasch-Sahi algebras and Dirac cohomology.* Trans. Amer. Math. Soc. 371.10 (2019): 6883-6902.
PhD thesis Dirac cohomology for Hopf-Hecke algebras, September 2018.

Teaching
RWTH
- Spring 2019: Lecture in Pairs on filtered-graded transfer and PBW deformations with Viktor Levandovskyy
- Spring 2019: Begleitpraktikum 2
- Fall 2018: Begleitpraktikum
Rutgers
- Spring 2018: TA for Math 351 – Introduction to Abstract Algebra I
- Fall 2017: TA for Math 351 – Introduction to Abstract Algebra I
- Fall 2017: TA for Math 451 – Abstract Algebra I
- Spring 2017: TA for Math 311 – Introduction to Real Analysis I
- Spring 2017: TA-at-large for Math 354 – Linear Optimization
- Fall 2016: TA-at-large for Math 421 – Advanced Calculus for Engineering
- Spring 2016: TA for Math 251 – Multivariable Calculus
- Fall 2015: TA for Math 152 – Calculus II for the Mathematical and Physical Sciences

Misc
slides on quantum Schur-Weyl duality and link invariants
slides on Deligne's category Rep(S_t)
slides on some constructions of vertex operator algebras and their modules
slides on quantum groups and tensor categories
3d rendering of affine surfaces
visualization of the 2.5-opt algorithm approximately solving a random traveling salesman problem live in your browser

Maintained by me. Last update on Feb 10, 2020.