johannesflake.de
Johannes Flake Postdoc at RWTH Aachen with Ghislain Fourier member of the SFB-TRR 195 PhD from Rutgers University (2018) with Siddhartha Sahi Algebra and Representation Theory RWTH Aachen University Pontdriesch 10–16, 52062 Aachen, Germany Office: room 402, building no. 1952 Email: second name at art dot rwth minus aachen dot de workshop Deligne categories and quantum groups (postponed due to COVID-19)
Research I am interested in algebra and representation theory, more specifically: Lie algebras, Hecke algebras / Cherednik algebras, Hopf algebras, PBW deformations, Dirac operators and Dirac cohomology, vertex operator algebras, tensor categories, Deligne's interpolation categories, monoidal categories, diagram algebras, "easy quantum groups", partition categories, p-groups, computer algebra, ... preprint with Laura Maaßen: Semisimplicity and Indecomposable Objects in Interpolating Partition Categories (2020) preprint with Andrea Thevis: Strata of p-Origamis (2020) preprint with Ghislain Fourier and Viktor Levandovskyy: Gröbner bases for fusion products (2020) preprint with Robert Laugwitz: On the Monoidal Center of Deligne's Category Rep(S_t) (2019) preprint with Siddhartha Sahi: Hopf-Hecke algebras, infinitesimal Cherednik algebras and Dirac cohomology. Pure Appl. Math. Q., Kostant edition (in press). 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 polybases.jl, a Julia package for monomial bases using OSCAR and polymake (under development; example) KnopCategoriesForGap, a GAP/CAP package for Knop’s tensor envelopes 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 my implementaton of an 2.5-opt algorithm approximately solving a random traveling salesman problem live in your browser (slowed down for visualization purposes) ... which traveling salesman? pictures of some D6-symmetric unit-distance graphs in the plane with 745 vertices and chromatic number five that I discovered with a SAT solver ... so what?
Maintained by me. Last update on Sep 22, 2020.