Yuezhao Li

I am a PhD candidate in mathematics at Leiden University, studying noncommutative geometry (NCG) and its applications in index theory and mathematical physics. My supervisor is Dr. Bram Mesland.

From 2013 to 2018, I studied physics and mathematics at Peking University, China. From 2018 to 2021, I studied mathematics at Georg-August-Universität Göttingen, Germany, specialising in noncommutative geometry and its application in topological insulators. I wrote my master thesis under the supervision of Prof. Dr. Ralf Meyer.

Currently, my research focuses on two topics. One is on finite-dimensionl computations of index pairings, using techniques from bivariant K-theories. This provides a theoretical framework to talk about index theory of spectral truncations in the sense of Alain Connes and Walter van Suijlekom. In another project I attempt to understand the robustness of topological invariants that occur in topological insulators, using techniques from K-theory, groupoid C*-algebras and coarse geometry.

Here are my ResearchGate and LinkedIn, as well as some other things about myself, including running, languages, coding, etc.

My calendar in 2025

I will participate in the conference C*-Algebras, Coarse Geometry and Physics in Greifswald, 23–27 June, 2025.

I will visit Goettingen during 30 June–3 July, 2025.

Articles and preprints

Preprints

  1. Yuezhao Li and Bram Mesland. The odd spectral localiser via asymptotic morphisms and quasi-projections (2025). arXiv:2506.17143.
  2. Yuezhao Li. Robustness of topological phases on aperiodic lattices (2025). arXiv:2504.04817.

Notes and Handouts

I have taken notes for several lectures and seminars. Some of them are below. They may be incomplete and contain mistakes. Please use at your own risk.

NCG-Leiden

I am a member of the NCG research group in Leiden. I help maintain the website NCG-Leiden which announces its activities and seminars. If you want to be added to the mailing list, please contact Francesca Arici or Bram Mesland.

In previous semesters, we have run reading seminars on noncommutative geometry of foliations (2023 fall), groupoid C*-algebras (2022 fall) and KK-theory (2022 spring).