## Thomas BeckDepartment of Mathematics |

I am a C. L. E. Moore Instructor in Mathematics at MIT, with research interests in PDE and analysis, and in particular in eigenvalues and eigenfunctions of Schrödinger operators.

- Ph.D. (2015) Princeton (Advisor: Charles Fefferman)
- M.Math. (2010), B.A. (2009) Trinity Hall, Cambridge (Director of Studies: Tadashi Tokieda)

- Uniform level set estimates for ground state eigenfunctions (2017), submitted
- (joint with Boris Hanin) Level spacings and nodal sets at infinity for radial perturbations of the harmonic oscillator (2017), submitted
- (joint with Spencer Becker-Kahn and Boris Hanin) Nodal sets of smooth functions with finite vanishing order and p-sweepouts (2016), submitted
- Level set shape for ground state eigenfunctions on convex domains (2015), PhD Thesis, Princeton University
- The shape of the level sets of the first eigenfunction of a class of two dimensional Schr\"odinger operators, (2014) to appear in
*Trans. Amer. Math. Soc.* - (joint with Fabio Pusateri, Philippe Sosoe and Percy Wong) On global solutions of a Zakharov type system,
*Nonlinearity*28 (2015), 3419-3441 - (joint with Philippe Sosoe and Percy Wong) Duchon-Robert solutions for the Rayleigh-Taylor and Muskat problems,
*Journal of Differential Equations*, Vol. 256, 1 (2014), 206-222

- Spring 2017 (MIT): 18.100P, Real Analysis (Communication intensive version, Course Head)
- Fall 2016 (MIT): 18.112, Complex Analysis (Lead Instructor)
- Spring 2015 (MIT): 18.100A, Real Analysis (Lead Instructor)
- Fall 2015 (MIT): 18.02, Multivariable Calculus (Recitation Leader)
- Summer 2014 (Princeton): MAT 151, Problem Solving in Mathematics (part of the Freshman Scholars Institute)
- Fall 2013 (Princeton): MAT 104, Calculus II

- Fall 2017: Analysis Seminar (UNC, upcoming)
- Fall 2017: Applied Mathematics / Analysis Seminar (Yale)
- Fall 2017: PDE Seminar (Brown)
- Fall 2017: Mathematical Physics and Harmonic Analysis Seminar (Texas A&M)
- Spring 2017: AMS Special Session on Recent Progress on Nonlinear Dispersive and Wave Equations, I, (Joint Mathematics Meetings, Atlanta)
- Fall 2015: PDE / Analysis Seminar (MIT)
- Fall 2012: Ergodic Theory and Statistical Mechanics Seminar (Princeton)