Research Interests

I am mainly interested in Algebraic and Geometric Complexity Theory, with a focus on Tensors. Lately, I have been also thinking about applications of the Asymptotic Spectrum to fields besides Tensors.

My background is in Algebraic Topology and Group Theory. I am always interested in finding new connections between Topology, Group Theory and Algebraic Complexity.

Publications

• On average orders of automorphism groups of bilinear maps over finite fields (arXiv)
  Markus Bläser, Yinan Li, Youming Qiao, Alexander Rogovskyy
  Submitted to Inventiones mathematicae.
• Origami, Computing Veech groups of origamis, Version 2.0.1. Library for GAP.
  Ertl, S., Junk, L. L., Kattler, P., Rogovskyy, A., Schumann, P., Thevis, A. and Weitze-Schmithüsen, G.

Research Stays

• Workshop on Algebraic Complexity Theory (WACT) 2025, Bochum, Germany
• Research Program “Complexity and Linear Algebra”, Simon’s Institute, Berkeley