• Lie groups, discrete subgroups and homogeneous spaces
• Ergodic theory and dynamical systems
• Metric Diophantine approximation

My papers on arxiv.org

Full list of publications

Dynamics and Number Theory Seminar

Recent graduate students:

• Jiajie Zheng (2023)
• Mishel Skenderi (2021)
• Anurag Rao (2020)
• Shahriar Mirzadeh (2018)

Editorial boards:

• Ergodic Theory and Dynamical Systems
• Journal of Modern Dynamics
• Selecta Mathematica

Conferences/programs organized:

• Dynamical Systems: Smooth, Symbolic, and Measurable (AMS Mathematics Research Community, June 2017)
• Dynamics, Geometry and Number Theory (IHP, June 2016)
• Geometric and Arithmetic Aspects of Homogeneous Dynamics (MSRI, Spring 2015)
• Lie Groups: Dynamics, Rigidity, Arithmetic (Yale, February 2006)

Powers of two on Numberphile, with extra footage

Teaching in 2021-2022

• Fall: Math 23b (Introduction to Proofs), Math 141a (Real Analysis)
• Spring: Nachdiplom Lectures, ETH, Zurich

Selected courses taught in the past

• Fall 2011: Math 47a (Introduction to Research)
• Spring 2011: Math 224b (Lie Groups)
• Fall 2010: Math 28a (Introduction to Groups)
• Spring 2009: Math 212b (Functional Analysis)
• Fall 2008: Math 36a (Probability)
• Spring 2008: Math 23b (Introduction to Proofs), Math 211a (Hausdorff Dimension)
• Spring 2007: Math 203b (Topics in Number Theory)
• Fall 2004: Math 211a (Dynamical Systems)