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
Robert Laugwitz:
On the Monoidal Center of Deligne's Category Rep(S_t). J. London Math. Soc. (in press).
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
Maintained by me. Last update on Jan 8, 2021.