Homin Lee

About me

I am a Boas Assistant Professor in the Mathematics department at Northwestern University. Previously, I was graduate student at the Mathematics department of Indiana University Bloomington, under the supervision of David Fisher. 

Here is my CV.

Research 

I am broadly interested in geometry, groups, and dynamics. For now, I am especially interested in exploring

1.  Rigidity properties in geometry and dynamical systems such as smooth actions on manifolds by discrete groups, 

2.  Algebraic and arithmetic properties of arithmetic groups and their geometric applications, and 

3.  smooth hyperbolic dynamics, nonuniform hyperbolicity, and smooth ergodic theory.

Preprints and publications

1.  Rigidity theorems for higher rank lattice actions,  submitted,  available at https://arxiv.org/abs/2002.02485 

2. Global rigidity of actions by higher rank lattices with dominated splitting,  Ergodic Theory and Dynamical Systems. 2024;44(3):799-828. doi:10.1017/etds.2023.31, arXiv: https://arxiv.org/abs/2010.11874 

3.  (With Lvzhou Chen and Sebastian Hurtado) A height gap in GLd(Q) and almost laws, Groups, Geometry, and Dynamics, to appear arXiv: https://arxiv.org/abs/2110.15404 

4.  (With Aaron Brown) Nonuniform measure rigidity of actions by lattices, in preparation.

Talks:

• Geometry and Geometric analysis seminar, Purdue University,  FALL 2024

• Actions of large groups, geometric structures, and the Zimmer program, IHP, Paris,  June 2024

• Dynamics seminar, ETH, Swiss, May 2024

• Introductory school: Group Actions and Rigidity: Around the Zimmer Program, 3 hours Mini-course, CIRM, Luminy, April 2024

• Geometry seminar, The University of Oklahoma, April 2024

• Dynamics seminar, Penn State University, March 2024

• Topology seminar, Florida State University, December 2023

• Geometry seminar, University of Utah, November 2023

• Topology seminar, Brigham Young University, November 2023

• GRAZP: Groups and Rigidity Around the Zimmer Program, Ventotene VI, Italy, September 2023 

• Northwestern RTG dynamics summer school, Mini-course (2 hours), June 2023

• Dynamics seminar, U of chicago, April 2023

• KIAS Geometry seminar, KIAS, April 2023

• Number Theory seminar, Seoul National University, Mar. 2023

• Dynamics seminar, Seoul National University, Mar. 2023

• Group action seminar, UCSD, Feb. 2023

• Topology seminar, UC Davis, Nov. 2022

• Dynamics seminar, University of Wisconsin Madison, April 2022

• Dynamics seminar, IUPUI, April 2022

• Workshop in Dynamical Systems and Related topics, University of Maryland, a short talk, April 2022

• Topology Seminar, UC Berkeley, Dec. 2021

• Dynamical Systems Seminar, Northwestern University,  Nov. 2021

• 2021 Workshop in Dynamical Systems and Related topics, Anatole Katok Center, a short talk,  Oct. 2021

• Geometry Seminar, Indiana University Bloomington,  Oct. 2021

• Midwest dynamics seminar (Virtual), 

Joint (virtual) seminar of U of Chicago, IU, Northwestern, U of Michigan, and UIC, Oct. 2020

•  Zoom Dynamical Systems Seminar (Virtual), Pennsylvania State University, Oct. 2020

• KIAS Geometry, Topology \& Dynamics seminar (Virtual), KIAS, South Korea, Sep. 2020

• KIAS Geometry, Topology \& Dynamics seminar, KIAS, South Korea, Feb. 2020

• RTG seminar and Geometry seminar, (2 talks),  University of Michigan Ann Arbor, Jan. 2020

• Geometry Seminar,  Indiana University Bloomington, Jan. 2020

• Arbeitsgemeinschaft on Zimmer’s Conjecture, MFO, Oberwolfach, Germany, Oct. 2019

• Arbeitsgemeinschaft on Rigidity of stationary measures, MFO, Oberwolfach, Germany, Oct. 2018

Mentoring and Teaching

Instructor, Single-variable Integral calculus M220-2, Northwestern University, Winter 2024

Mentor, Research Experiences for Undergraduates (REU) Summer 2023, Northwestern University, Summer 2023 \\ Topic: Anosov actions on nilmanifolds

Instructor, Multivariable calculus M230-1, Northwestern University, Fall 2022, Winter 2023, Fall 2023

Organized Laboratory of geometry at IU: Log(IUB), Indiana University Bloomington, Spring 2021

Mentor, Directed Reading Program (DRP), Indiana University Bloomington, Fall 2020

Mentor, Laboratory of geometry at. IU (LOG(IUB)), Indiana University Bloomington, Spring 2020

Last update: Feb. 04, 2024