Tashi Walde

Mathematical Institute
University of Bonn
Endenicher Allee 60
53115 Bonn
Germany

Office	N2.013
Email	twalde (at math.uni-bonn.de)
Telephone	+49 (0) 228 73 3789

I am a Ph.D. student at the University of Bonn. My advisors are Catharina Stroppel and Tobias Dyckerhoff. I am currently (01.10.2019-30.03.2020) a guest of the Max Planck Institute for Mathematics.

I am interested in higher category theory, homotopical and homological algebra and their applications to representation theory, categorification and topological field theories.

Theses

On the theory of higher Segal spaces
- Doctoral thesis, University of Bonn, 27 January 2020: pdf
Hall monoidal categories and categorical modules
- original Master's thesis, University of Bonn, 22 July 2016: pdf
- revised version: arXiv:1611.08241
Derived equivalences and tilting complexes
- Bachelor's thesis, University of Bonn, 17 July 2014: pdf

Publications/Preprints

Homotopy coherent theorems of Dold–Kan type
- e-print: arXiv:1912.06368

Higher Segal spaces via higher excision
- e-print: arXiv:1906.10619

Generalised BGP reflection functors via the Grothendieck construction (joint with T. Dyckerhoff and G. Jasso)
- International Mathematics Research Notices (IMRN), rnz194, 2019: →publication
- e-print: arXiv:1901.06993

Simplicial structures in higher Auslander-Reiten theory (joint with T. Dyckerhoff and G. Jasso)
- Advances in Mathematics, Volume 355, 2019, 106762, ISSN 0001-8708: →publication
- e-print: arXiv:1811.02461

2-Segal spaces as invertible infinity-operads
- accepted for publication in Algebraic & Geometric Topology
- e-print: arXiv:1709.09935
- expository poster

Invited Talks

Stable higher Segal structures and the Dold-Kan correspondence@ Thomas Poguntke Memorial Workshop (31. Jan - 1. Feb 2019, CRM Barcelona, Spain)
2-Segal spaces as invertible infinity-operads @ Winter School "A-infinity structures in geometry and representation theory" (4.-8. Dec 2017, HIM Bonn, Germany): video
2-Segal spaces as invertible infinity-operads @ Workshop on infinity operads (11.-14. Jun 2018, Bergse Bossen, the Netherlands)