Miri Son

Research Interests

My research interest lies in the area of Group, Geometry and Dynamical systems. 

• Zimmer program: Rigidity in geometry and dynamical systems of higher-rank semi-simple Lie groups or their lattices acting on manifolds.

• Rigidity of Anosov actions of higher-rank abelian group actions on manifolds.

• Linearization of smooth Lie groups or their lattices actions near fixed points. 

Publications and Preprints

• (Joint with Insung Park) Linearization of smooth SL(n,R)-actions near fixed points, in preparation.

• Real analytic SL(n,R)-actions on closed manifolds, arXiv:2508.04499

• (Joint with Hyun Kyu Kim and Thang T.Q.Lê.) SL_2 quantum trace in quantum Teichmüller theory via writhe, Algebraic & Geometric Topology 23(1), 2023.

Talks

• Max Dehn Seminar, University of Utah, USA, Nov. 5, 2025 (Scheduled)

• Dynamical Systems Seminar, Online, KTH Royal Institute of Technology, Sweden, Oct. 16, 2025 (Scheduled)

• Dynamical Systems Seminar, Northwestern University, USA, Sep. 30, 2025 (Scheduled)

• Geometry and Topology Seminar, Florida State University, USA, Sep. 16, 2025 (Scheduled)

• Geometry Seminar, Rice University, USA, Sep. 3, 2025

• Geometry and Topology Seminar, KIAS(Korea Institute for Advanced Study), South Korea, Aug. 11, 2025

• Dynamics Seminar, SNU(Seoul National University), South Korea, Jul. 9, 2025

• Midwest summer school in Geometry, Topology, and Dynamics, Lightning talk, UW-Madison, USA, Jun. 2-6, 2025, Slides

• Graduate Seminar on Current Mathematics, Rice University, USA, Oct. 2023

Teaching (Instructor records)

Rice University

• Single Variable Calculus II, M102, Fall 2024

• Single Variable Calculus II, M102, Summer 2024

Indiana University Bloomington

• The Mathematics Decision and Beauty, M106, Fall 2022

Selected Conferences

[12] Semi-annual workshop in Dynamical systems and related topics, Penn State University, State college, PA (November 13-16, 2025)

[11] Midwest summer school in Geometry, Topology, and Dynamics, UW-Madison, Madison, WI (June 2-6, 2025)

[10] The ergodic method in Group theory (Celebrating the Mathematics of Alex Furman), Northwestern University, Evanston, IL (May 26-30, 2025)

[9] UT Austin mini school in analytic group theory, UT-Austin, Austin, TX (March 17-21, 2025)

[8] Group actions and rigidity: around Zimmer program, IHP, Paris, France (May-June 2024)

[7] Northwestern RTG dynamics summer school, Northwestern University, Evanston, IL (June 20-30, 2023)

[6] Dynamics, Rigidity and Arithmetic in Hyperbolic Geometry, ICERM, Providence, RI (May 15-19, 2023)

[5] UT Austin graduate mini-school in groups and dynamics, UT-Austin, Austin, TX (July 18-22, 2022)

[4] Geometry, Arithmetic, and Groups (Celebrating Alan W. Reid), UT-Austin, Austin, TX (June 20-24, 2022)

[3] Ergodic geometry, number theory and Margulis legacy: the next generation, University of Chicago, Chicago, IL (June 12-15, 2022) 

[2] Houston workshop on hyperbolic dynamical systems, University of Houston, Houston, TX (May 18-22, 2022)

[1] Workshop on dynamical systems and related topics, University of Maryland, MD (March 31-April 3, 2022)