Interests:
- Schrödinger operators
- Jacobi matrices
- CMV matrices
- Spectral theory
- Quantum dynamics
- Ergodic theory
- AMS-Simons Travel Grant, 2016–2018.
- Annales Henri Poincaré Prize (2014)
- Visiting Fellowship, Isaac Newton Institute (Spring 2015)
- Nominee: Lodieska Stockbridge Vaughn Fellowship (2013)
- Nominee: University Graduate Fellowship (2012)
- Louisiana State University, Baton Rouge, LA (January 19, 2018)
- University of New Mexico, Albuquerque, NM (November 30, 2017)
- Mathematical physics seminar: Georgia Tech, Atlanta, GA (November 30, 2018)
- Dynamics seminar: University of Chicago, Chicago, IL (October 29, 2018)
- Gauge theory and mathematical physics seminar: Michigan State University, East Lansing, MI (April 26, 2018)
- Mathematical physics seminar: UCI, Irvine, CA (May 11, 2017)
- Spectral theory seminar: Pontificia Universidad Católica, Santiago, Chile (January 5, 2017)
- Geometry and analysis seminar: Rice University, Houston, TX (February 17, 2016)
- Gauge theory and mathematical physics seminar: Michigan State University, East Lansing, MI (April 28, 2015)
- Stochastic and dynamical systems seminar: FAU Erlangen-Nürnberg, Erlangen, Germany (March 19, 2015)
- Mathematical physics seminar: Bielefeld Universität, Bielefeld, Germany (March 17, 2015)
- Pure and applied math seminar: The Open University, Milton Keynes, UK (March 10, 2015)
- Mathematical physics seminar: UCI, Irvine, CA (October, 7 2014)
- Probability and mathematical physics seminar: UAB, Birmingham, AL (September 5, 2014)
- Mathematical physics seminar: UCI, Irvine, CA (April 29, 2014)
- Mathematical physics seminar: Baylor University, Waco, TX (March 24, 2013)
- Joint meetings of the AMS (Special Session on Localization and Delocalization in Quantum Systems) Baltimore, MD (January 2019)
- AMS sectional meeting: University of Michigan, Ann Arbor, MI (October 2018)
- Joint meetings of the AMS (Special Session on Spectral Theory, Disorder, and Quantum Physics) San Diego, CA (January 11, 2018)
- Mini-Workshop on Reflectionless Operators: The Deift and Simon Conjectures: MFO, Oberwolfach, Germany (October 23, 2017)
- Workshop on Spectral Structures and Topological Methods in Mathematical Quasicrystals: MFO, Oberwolfach, Germany (October 5, 2017)
- Between Dynamics and Spectral Theory: Simons Center for Geometry and Physics, Stony Brook, NY (June 6 -- 10, 2016) video
- Workshop on quantum walks and quantum computing: Yokohama National University, Japan (November 16 -- 18, 2015)
- AMS Western sectional meeting: Cal State Fullerton, Fullerton, CA (October 25, 2015)
- Workshop on spectral properties of quasicrystals: CMO-BIRS, Oaxaca, Mexico (September 27 -- October 2, 2015)
- Equadiff 2015, Minisymposium on inverse spectral theory and its applications: Universitè Claude Bernard Lyon 1, Lyon, France (July 10, 2015)
- Programme on periodic and ergodic spectral problems: Isaac Newton Institute for Mathematical Sciences, Cambridge, UK (April 10, 2015) video
- Mini-Workshop: Dynamical versus Diffraction Spectra in the Theory of Quasicrystals: MFO, Oberwolfach, Germany (December 9, 2014)
- AIMS conference, special session on dynamical systems and spectral theory: ICMAT, Madrid, Spain (July 10, 2014)
- Constructive functions 2014: Vanderbilt University, Nashville, TN (May 27, 2014)
- AMS Western sectional meeting: UNM, Albuquerque, NM (April 5, 2014)
- Workshop on Dynamical Methods in Spectral Theory of Quasicrystals, UC Irvine, Irvine, CA (May 19, 2013)
- Valmir Bucaj (West Point)
- David Damanik (Rice)
- Mark Embree (Virginia Tech)
- Jon Erickson (Rice)
- Vitalii Gerbuz (Rice)
- Anton Gorodetski (UC Irvine)
- Rui Han (Georgia Tech)
- Gerhardt Hinkle (Rice)
- Milivoje Lukic (Rice)
- May Mei (Denison)
- Darren Ong (Xiamen University Malaysia)
- Charles Puelz (Courant)
- Yuki Takahashi (Bar-Ilan University)
- Robert Vance (Simpson College)
- Tom VandenBoom (Yale)
- Alan Vu (Rice)
- Fengpeng Wang (Rice and Ocean University of China)
- William Yessen (Rice)
- Zhenghe Zhang (UC Riverside)