Research Interests

Differential Geometry, Quantitative Topology, Quantum control theory, String theory.


University of Toronto

Ph.D, Mathematics September 2013 – June 2019

University of Toronto

Master of Science, Mathematics September 2012 – August 2013

Shanghai Jiao Tong University

Bachelor of Science, Mathematics September 2008 – August 2012

Career Experience

Postdoc, Yau Mathematical Science Center, Tsinghua University 2021.9-Current

Postdoc, Iowa State University 2019-2021

Course Instructor, University of Toronto 2015-2019

Research/Teaching Assistant, University of Toronto 2012-2019

Teaching Experience

Course Instructor (Lecturer)

1. Calculus Single variable 2015 Fall, 2017 Fall, 2019 Fall

2. Calculus Multivariable 2015 Summer, 2018-2019, 2020 Fall

3. Calculus Multivariable (Honors program in ISU) 2020 Winter

Teaching Assistant

1. Linear Algebra 2012-2014

2. Calculus (Art and Science) 2012-2015

3. Calculus (Engineering) 2013-2014

4. Differential Geometry (Undergrad) 2015-2017

5. Topology, Differential Topology (Graduate) 2015-2016

6. Topology, Algebraic Topology (Graduate) 2015-2017

7. Riemannian Geometry (Graduate) 2015-2017


1. Qiuzhen Yiyou Scholar, Tsinghua University 2021 Fall, 2022 Winter

2. ISmart Undergrad research program, ISU 2019-2020


1. (with Glynn-Adey, P.) “Subdividing Three Dimensional Riemnannian Disks.” Journal of Topology

and Analysis, 9, No.3 (2017): 533-550.

2. (with Wu. N) “Length of a shortest closed geodesic in manifolds of dimension four.” accepted for

publication in Journal of Differential Geometry.

3. (with Wu. N) “An upperbound for the smallest area of a minimal surface in manifolds of dimension

four.” Journal of Geometric Analysis (2017): 1-28.

4. “Geometric Inequalities on Riemannian Manifolds”, Ph.D thesis.

5. (with D’Alessandro. D. and Sheller, B.) “Time-optimal control of quantum lambda systems in the

KP configuration.” Journal of Mathematical Physics, 61, 052107 (2020)

6. (with D’Alessandro. D.) “A different look at the optimal control of the Brockett integrator”,

International Journal of Control, 2021

7. “Size of a free boundary minimal surface in Riemannian manifolds” preparing.

Seminar Talks 

1. Geometry and Topology Seminar, University of Toronto, Toronto, CA 2015.9

2. Differential Geometry-Mathematical Physics-PDE Seminar, University of British Columbia, Vancouver,

BC, CA 2018.4

3. Geometry-Analysis Seminar, Rice University, Houston, TX, US 2018.10

4. Geometry and Algebra Seminar, Iowa State University, Ames, IA, US 2019.2

5. Differential Geometry Seminar, UCSB, Santa-Barbara, CA, US 2019.11

6. Geometry and PDE Seminar, University of Iowa, Iowa city, IA, US 2020.4

7. Geometric Analysis Seminar, University of Toronto, Toronto, CA (Online), 2021.7

8. Colloquium talk, Academy of Mathematics and Systems Science, CAS, Beijing, CN, 2022

9. Cohomology operations learning seminar, Organizer, Tsinghua University, Beijing, CN, 2021 Fall

Honors and Awards

1. Academic Excellence Scholarship , Shanghai Jiaotong University 2008-2011

2. Bachelor thesis award (TOP 1%), Shanghai Jiaotong University 2012

3. University of Toronto Fellowship, University of Toronto 2012-2017

4. Alfred B. Lehman Scholarship, University of Toronto 2015

5. Blyth Fellowship, University of Toronto 2015-2016

6. CMS Graduate Scholarship , Canadian Mathematical Society 2017

7. Doctoral Completion Award, Faculty Of Arts and Science, University of Toronto 2018

8. China Postdoctoral Science Foundation special program 2021-2022

9. China Postdoctoral Science Foundation general program 2021-2022

10. Postdoctoral Scholar Teaching Award, Qiuzhen college, Tsinghua University 2021

11. International Postdoctoral Fellowship, China Postdoctoral Science Fundation, 2021-2022

Summer School Soliton Equations and Integrable system, WIPM Chinese Academy of Science, China 2011.7

Geometric Group Theory, MSRI, Berkeley, US 2015.6

Extracurricular Activities

The Cultural Construction of Minority Area in Longyou, Zhejiang Province, China 2009.7

A Study of Rural-urban Integration in Tumen, Jilin Province, China 2010.7

Shanghai 2010 Expo Volunteer Group Leader 2010.6-2010.10