Qiaochu Ma (马翘楚)
Penn State University
54 McAllister, State College, PA 16801
Email: qkm5040"at"psu.edu
Research Fields:
I am mainly interested in the global analysis on manifolds, especially, local Atiyah-Singer index theory, complex geometry and quantum chaos.
Position:
I was a PhD student at Université Paris Cité, France, working under the supervision of Prof. Xiaonan Ma. In August 2022, I joined Penn State University as a postdoctoral researcher under the direction of Prof. Nigel Higson. I will join Texas A&M University as a Visiting Assistant Professor in August 2024, working with Prof. Sherry Gong and Prof. Guoliang Yu.
Publications and Preprints:
Spectral invariants in local Atiyah-Singer index theory
Toeplitz operators and the full asymptotic torsion forms, J. Funct. Anal. 286 (3) (2024), Paper No.110210, 74pp.
Quantum chaos and dynamical system
Arithmetic uniform quantum unique ergodicity, 17pp, 2024.
Semiclassical analysis, geometric representation and quantum ergodicity, with Minghui Ma, 24pp, arXiv: 2302.09497.
Conference Talk Slides:
Cologne University, Quantization in Geometry, 25/July/2023
Semiclassical analysis, mixed quantization and arithmetic quantum ergodicity
Winter School/Conference on Noncommutative Geometry and Geometric Analysis, 13/Dec/2022
Semiclassical analysis, geometric representation and quantum ergodicity
Young Mathematicians in Noncommutative Geometry and Analysis, 17/Aug/2022
Seminar Talk Slides:
PSU Dynamical Systems Working Seminar, 18/Apr/2023
Semiclassical analysis, mixed quantization and quantum ergodicity
PSU NCG (Noncommutative Geometry) Seminar, 13/Apr/2023
Quantization commutes with reduction and K-homology
UCSD Differential Geometry Seminar, 17/March/2023
The mixed quantization and quantum ergodicity
PSU GAP (Geometry, Algebra, Physics) Seminar, 14/March/2023
Toeplitz Operators and Full Asymptotics of Analytic Torsions.
Thesis Defense (in French), 02/Jun/2022
Opérateurs de Toeplitz et torsion analytique asymptotique complète
Workshop on Noncommutative Geometry and Geometric Analysis, 13/Nov/2021
The full asymptotics of analytic torsion and Toeplitz operators
Notes: (They probably contain many typos, please read and use wisely!)
Employment and Education:
Aug/2024-
Visiting Assistant Professor, Texas A&M University, US.
Aug/2022- July/2024
Postdoctoral Researcher, Penn State University, US.
Sept/2018-Jun/2022
PhD in Fundamental Mathematics, Université Paris Cité, France.
Thesis Title: "Toeplitz operators and full asymptotic torsion forms".
Under the supervision of Xiaonan Ma.
Defended on 02/Jun/2022 in front of the jury: Jean-Michel Bismut, Claire Debord, Nigel Higson, Xiaonan Ma, George Marinescu, Paul-Emile Paradan, Shu Shen.
Sept/2017-Jun/2018
Master 2 Fundamental Mathematics, Université Paris Diderot, France.
Under the supervision of Xiaonan Ma.
Sept/2013-Jun/2017
Bachelor of Pure and Applied Mathematics, University of Science and Technology of China, Hefei, China.