About

I was a Zelevinsky Research Instructor at Northeastern University prior to joining Reed College as a visiting assistant professor in Fall 2022. My PhD supervisor was Steve Zelditch of Northwestern University.

My research lies in the intersection of microlocal analysis, complex analysis, and probability. I am particularly interested in mathematical problems arising from quantum mechanics, such as quantum chaos, nodal sets and L^p norms of eigenfunctions, and spectral asymptotics.

These days, I have been working with Grauert tubes, developing tools such as Szegő kernel asymptotics to study analytic extensions (Husimi distributions) of eigenfunctions.

Teaching at Reed College

• Spring 2024
  • Math 111: Calculus
  • Math 311: Complex Analysis
• Fall 2023
  • Math 321: Real Analysis
• Spring 2023
  • Math 112: Intro to Analysis
  • Math 411: Topics in Advanced Analysis (Microlocal Analysis)
• Fall 2022
  • Math 111: Calculus
  • Math 321: Real Analysis

Old teaching at Northeastern (2019–2022) and at Northwestern (2014–2019).

Research Papers and Preprints

1. (with A. Moll) Fractional Gaussian fields in geometric quantization and semi-classical analysis of coherent states
   In preparation.
2. (with P. Zhou) Slepian-type theorem for Toeplitz operators
   In preparation.
3. Hamiltonian Grauert tubes for Schrödinger operators
   In preparation.
4. (with A. Rabinowitz) Szegő kernel asymptotics and concentration of Husimi distributions of eigenfunctions
   arXiv: 2202.14013. Submitted.
5. (with A. Rabinowitz) Scaling asymptotics for Szegő kernels on Grauert tubes
   arXiv: 2107.05105. J. Geom. Anal. 33 (2023), no. 2, article no. 60.
6. (with S. Zelditch) Log-scale equidistribution of nodal sets in Grauert tubes
   arXiv: 1803.03579. J. Math. Pures Appl. (9) 129 (2019), pp. 213–241.
7. (with S. Zelditch) Log-scale equidistribution of zeros of quantum ergodic eigensections
   arXiv: 1512.02333. Ann. Henri Poincaré 19 (2018), no. 12, pp. 3783–3814.
8. Quantum ergodicity of Wigner induced spherical harmonics
   arXiv: 1512.03138. J. Spectr. Theory 8 (2018), no. 2, pp. 523–540.

Useful Links

• Conferences, workshops, summer schools
  • May Midwestern Microlocal Meeting (May 20–21, 2023)
  • Bergman kernels in microlocal analysis and mathematical physics (November 7–11, 2022)
  • Global Harmonic Analysis: Conference in Honor of Steve Zelditch (September 8–11, 2022)
  • Workshop on Complex Analysis and Geometry (June 20–24, 2022)
• Reed College Mathematics Colloquim
• MathSciNet (requires Reed login), MRef by AMS, getting started with LaTeX