Department of Mathematics
2033 Sheridan Road
Evanston, IL 60208
Office: Locy 207
I am a fifth year graduate student under the supervision of Steve Zelditch.
I study the asymptotic behavior of (deterministic or random) eigenfunctions on Riemannian manifolds and eigensections on Kähler manifolds using semi-classical and probabilistic techniques.
Specific topics include quantum ergodicity; nodal and critical sets; and Lp norms.
(updated October 2017)
- Summer 2017
- Fall 2016
- Math 212-0(83): Single Variable Calculus I
- Math 321-1(71): MENU: Real Analysis
- Winter 2016
- Math 360-2(71): MENU - Applied Analysis
- Math 382-0(61): Complex Analysis and Group Theory for ISP
- Fall 2015
- Math 224-0(99L): Integral Calculus of One Variable Functions
- Math 360-1(71): MENU - Applied Analysis
- Winter 2015
- Math 230-0(41): Differential Calculus of Multivariable Functions
- Math 230-0(51): Differential Calculus of Multivariable Functions
- Fall 2014
- Math 230-0(59): Differential Calculus of Multivariable Functions
- Math 250-0(31): Elementary Differential Equations
Publications and Preprints
- (with S. Zelditch) Log-scale equidistribution of complex zeros of real ergodic eigenfunctions
- (with S. Zelditch) Log-scale equidistribution of zeros of quantum ergodic eigensections
- Quantum ergodicity of Wigner induced spherical harmonics
arXiv:1512.03138, to appear in J. Spectr. Theory
I helped with the production of Steve Zelditch's upcoming CBMS Lecture Notes: Eigenfunctions of the Laplacian on Riemannian Manifolds
A draft version is available on Steve's website
-- look under "preprint" on the left panel.