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
Teaching - Fall 2017: TA for Math 351 – Introduction to Abstract Algebra I Prof. Tiep's page (see "Fall 2017 Classes") general course page - Fall 2017: TA for Math 451 – Abstract Algebra I Prof. Kopparty's course page general course page - 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 Dec 13, 2017.