Hi there!

My name is Qingyuan Bai (白庆源) and I'm a PhD student in Mathematics at Københavns Universitet. Starting from September of 2025, I am unemployed.

Before moving to Copenhagen, I was a master student at Peking University supervised by Bohan Fang.

Even before that I got my bachelor degree from Sichuan University, where I learnt a lot from Xiaojun Chen.

So far, my research is mostly on higher algebra inspired by homological mirror symmetry. Other than that, I daydream about fancier things like motives, higher categories and Langlands duality.

Writings

 

1. Topological Fukaya category and mirror symmetry for toric Calabi-Yau 3-orbifolds.  arXiv 

 

Joint with Bohan Fang. Accepted by Mathematical Research Letters.

 

2. Toric mirror symmetry for homotopy theorists. pdf (draft)

 

Joint with Yuxuan Hu. Draft vailable upon request. See also Remark 12 in 3 below.

 

3. Stuff about sheaves on real vector spaces. pdf

 

Joint with Robert Burklund. Expository note.

 

4. On the K-theory of non-split tori.

 

Joint with Shachar Carmeli, Branko Juran and Florian Riedel. In preparation. Shachar Carmeli gave a talk on this project.

 

5. On the localizing invariants of category of constructible sheaves.

 

Joint with Peter Haine. In preparation. Peter Haines Masterclass lecture notes explained some ideas surrounding this project.

 

Events

 

Fall 2024: I am currently organizing Copenhagen homotopy theory problem solving seminar, it happens every Friday during lunchtime. Ask me for details if you want to join.

 

Masterclass: Continuous K-theory, dualizable and rigid categories

 

Masterclass: Exit paths and stratified homotopy types

 

Teaching

 

2022 Fall: Exercise session for Geometric Topology (Morse Theory)

 

2024 Spring: Exercise session for Commutative Algebra

 

2024 Fall: Exercise session for Algebraic Geometry 2 (Scheme Theory)

 

Contact

 

You know how to reach me.