Johannes Flake
Math PhD Candidate at Rutgers University
Department of Mathematics – Hill Center
Rutgers, The State University of New Jersey
110 Frelinghuysen Road
Piscataway, NJ 08854–8019
Office: room 624, Hill Center
Email: first name dot second name at math dot rutgers dot edu

Research
I am interested in Lie algebras, Hecke algebras, Hopf algebras, PBW deformations, representation theory, Dirac operators and Dirac cohomology, vertex operator algebras, monoidal categories, diagram algebras.
preprint with Siddhartha Sahi: *Hopf-Hecke algebras, infinitesimal Cherednik algebras and Dirac cohomology*, August 2016
preprint *Barbasch-Sahi algebras and Dirac cohomology*, August 2016 (Trans. Amer. Math. Soc., in press)

Teaching
- 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

Maintained by me. Last update on Jun 13, 2018.