Tashi Walde

Email	twalde (at math.uni-bonn.de) or tashi.walde (at ma.tum.de)

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I was a Ph.D. student at the University of Bonn. My advisors were Catharina Stroppel and Tobias Dyckerhoff.

Since 1st of April 2020 I work as a postdoctoral researcher at the Technical University of Munich.

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

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Theses

• On the theory of higher Segal spaces
  • Doctoral thesis, 2020: →publication
  • Doctoral colloquium, 14. July 2020: slides
• Hall monoidal categories and categorical modules
  • original Master's thesis, University of Bonn, 22 July 2016: pdf
  • revised version: arXiv
• 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

• Higher Segal spaces via higher excision
  • Theory and Applications of Categories, 2020: →publication
  • e-print: arXiv

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

• Simplicial structures in higher Auslander-Reiten theory (joint with T. Dyckerhoff and G. Jasso)
  • Advances in Mathematics, 2019: →publication
  • e-print: arXiv

• 2-Segal spaces as invertible infinity-operads
  • Algebraic & Geometric Topology, 2021: →publication
  • e-print: arXiv
  • expository poster

Invited Talks

• Higher Segal spaces via higher excision @ CRM IRP Higher Homotopical Structures - opening workshop (1.-5 and 8.-12. Feb 2021, online via zoom): video ; slides
• Homotopy coherent theorems of Dold-Kan type @ BIREP Research Seminar (31. Jan 2020, Bielefeld, Germany)
• 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)

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