Robert Chang

Visiting Assistant Professor
Email:
Office: Library 390
Tel: (503) 517-4725
Department of Mathematics
Reed College
3203 SE Woodstock Blvd
Portland, OR 97202

About Me

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 interested in mathematical problems arising from quantum mechanics, such as quantum chaos, nodal sets and Lp norms of eigenfunctions, as well as 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.

CV updated October 2022.
Teaching at Reed College
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. To appear in J. Geom. Anal.
  6. (with S. Zelditch) Log-scale equidistribution of nodal sets in Grauert tubes
    arXiv: 1803.03579. J. Math. Pures Appl. (9) 129 (2019), 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, 3783–3814.
  8. Quantum ergodicity of Wigner induced spherical harmonics
    arXiv: 1512.03138. J. Spectr. Theory 8 (2018), no. 2, 523–540.
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