johannesflake.de
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.