Jun Li

Postdoctoral Assistant Professor at the University of Michigan-Ann Arbor.
I completed my Ph.D (advisor: Tian-Jun Li) at the University of Minnesota.

Address: 530 Chruch Street, East Hall 4839, Ann Arbor, MI 48109.
Office Hour: MWF 11:00am -12:00pm, or by appointment, Zoom link
Email: lijungeo at umich dot edu, Phone: 734-764-0317.

Research: ➤ Here is a link to my publications and preprints.

I am interested in symplectic topology, complex analysis, 3 and 4 dim-topology, and dynamical systems;
in particular, the mapping class groups and dynamics of symplectic manifolds, in relation to mirror symmetry and symplectic/Lagrangian embedding problems.
My work also covers the applications in information geometry, which combines ideas from analysis, geometry and statistics;
in particular, symplectic techniques such as moment maps can be applied to statistical models with symmetry (rigid body motion for example) and Riemannian Neural Networks.

Workshop & Conferences Organizing

AMS Central meeting, the special session on computational aspects of symplectic topology, Apr 2020, at Purdue University, with Olguta Buse and Richard Hind.
FRG Workshop on symplectic isotopy and packing, May 2019, at U Michigan-Ann Arbor, with Tian-Jun Li and Yongbin Ruan.

Teaching

Spring 2021, Math 590, Introduction to topology.
Spring 2021, Math 217, Linear Algebra and Intro to Proofs.
Fall 2020, Math 214, Applied Linear Algebra.
Here is the link to the code page, supported by the Tech Innovation grant from Univerisity of Michigan.
Fall 2019, Math 636, Topics in Differential Geometry-Symplectic Geometry and Quantization.
Fall 2019, Math 217, Linear Algebra and Intro to Proofs. I'm currently managing the joint Canvas page of 217.
Spring 2019, Math 433, Intro to Differential Geometry.
Fall 2018, Math 217, Linear Algebra and Intro to Proofs.
Spring 2018, Math 433, Intro to Differential Geometry.
Fall 2017, Math 115, Calculus I.

Undergraduate research mentoring, 🌟 Python implement/visualization and other progress of our F2019 project and the final posters.

At the University of Michigan, I had the opportunity to get involved with mentoring undergraduate research. In Fall 2019, I co-mentored the team
Anthony Morales, Zijian Rong, Wendy Wang
in a research project about in a project Curves in surfaces and mapping class group through LOG(M) about constructing pseudo-Anosov maps,
with Becca Winarski and Grad student mentor Bradley Zykoski.
See the Laboratory of Geometry at Michigan's website (LOG(M)) for short) for more information.