Table of Contents

Peng Zhou

CV (pdf, updated 2022-12-04)

Research Interests

Homological Mirror Symmetry, Geometric Representation Theory, Microlocal Sheaf theory, and Semi-Classical Analysis

Positions

Education

Publication

Homological Mirror Symmetry

  1. Twisted polytope sheaves and coherent–constructible correspondence for toric varieties. Selecta Mathematica, 25(1):1–23, 2019
  2. Lagrangian skeleta of hypersurfaces in $(\C^*)^n$. Selecta Mathematica, 26(2):1–33, 2020
  3. Sheaf quantization of Legendrian isotopy. (accepted by Compositio of Math) 2018
  4. Variation of GIT and variation of Lagrangian skeletons II: Quasi-symmetric case. (with Jesse Huang) Advances in Mathematics, Volume 408, Part A, 2022, 108597

preprints

  1. GKZ discriminant and Multiplicities. (with Jesse Huang) arXiv:2206.14778, 2022
  2. Gamma II for toric varieties from integrals on T-dual branes and homological mirror symmetry. arXiv:1903.05300, 2019
  3. Variation of GIT and variation of Lagrangian skeletons I: flip and flop. arXiv:2011.03719, 2020

Microlocal Analysis

  1. Interface asymptotics of partial Bergman kernels on S1-symmetric K ̈ahler manifolds (with Steve Zelditch) Journal of Symplectic Geometry, 17(3):793–856, 2019
  2. Central limit theorem for spectral partial Bergman kernels. (with Steve Zelditch) Geometry & Topology, 23(4):1961–2004, 2019
  3. Central limit theorem for toric Kahler manifolds. (with Steve Zelditch) Pure and Applied Mathematics Quarterly, 17(3):843–864, 2021
  4. Interface asymptotics of Partial Bergman kernels around a critical level. (with Steve Zelditch) Arkiv for Matematik, 57(2):471–492, 2019
  5. Pointwise Weyl law for partial Bergman kernels. (with Steve Zelditch) In Algebraic and analytic microlocal analysis, pages 589–634. Springer, 2018
  6. Nodal sets of random eigenfunctions for the isotropic harmonic oscillator. (with Boris Hanin, Steve Zelditch) International Mathematics Research Notices, 2015(13):4813–4839, 2015
  7. Scaling of harmonic oscillator eigenfunctions and their nodal sets around the caustic. (with Boris Hanin, Steve Zelditch) Communications in Mathematical Physics, 350(3):1147–1183, 2017

Log D-modules and applications

  1. Log D-modules and index theorems. (with Lei Wu) In Forum of Mathematics, Sigma, volume 9. Cambridge University Press, 2021
  2. Zero loci of Bernstein–Sato ideals. (with Nero Budur, Robin van der Veer, Lei Wu) Inventiones mathematicae, 225(1):45–72, 2021
  3. Zero loci of Bernstein-Sato ideals-II. (with Nero Budur, Robin van der Veer, Lei Wu) Selecta Mathematica, 27(3):1–30, 2021

Journals Refereed

Teaching Experience

As an instructor in UC Berkeley

As a TA in Northwestern University

Directed Reading Projects

I advised a few undergrads reading projects in UC Berkeley.

Awards

Department.