Johannes Flake member of the SFB-TRR 195 Postdoc at RWTH Aachen with Ghislain Fourier 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 and, more specifically, things like: - tensor categories, Deligne's interpolation categories, monoidal centers - algebraic Dirac operators, Dirac cohomology, cohomology functors - PBW deformations, various kinds of Hecke and Cherednik algebras - "easy quantum groups", diagram algebras - 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 Siddhartha Sahi: Hopf-Hecke algebras, infinitesimal Cherednik algebras and Dirac cohomology. Pure Appl. Math. Q., Kostant edition (in press). articlepreprint with Robert Laugwitz: On the Monoidal Center of Deligne's Category Rep(S_t). J. London Math. Soc. (2020). 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 2021: Algebraic Geometry course page - 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 johannesflake/oscar, my personal unofficial OSCAR docker image 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 Jan 24, 2021.