Papers

Here is a list of my papers and some informal introductions. The links are for pdf of the journal versions if applicable. See my google scholar

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

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

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

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

In a previous life, I also did some physics (theoretical cosmology, particle production during Big Bang, etc)

1. Gravity waves as a probe of the Hubble expansion rate during an electroweak scale phase transition. Physical Review D, 82(2):024027, 2010. (with Daniel JH Chung).
2. Gravitational fermion production in inflationary cosmology. Physics Letters. Section B, 712, 2012 (with Daniel JH Chung, Lisa L Everett, Hojin Yoo).
3. Quadratic isocurvature cross-correlation, Ward identity, and dark matter. Physical Review D, 87(12):123502, 2013 (with Daniel JH Chung, Hojin Yoo)
4. Fermionic isocurvature perturbations. Physical Review D, 91(4):043516, 2015 (with Daniel JH Chung, Hojin Yoo)
5. Gravity waves and non-Gaussian features from particle production in a sector gravitationally coupled to the inflaton. Physical Review D, 86(10):103508, 2012 (with Neil Barnaby, Jordan Moxon, Ryo Namba, Marco Peloso, Gary Shiu)

1. Math Thesis (2017) From Fukaya-Seidel category to Constructible Sheaves (Advisor: Eric Zaslow)
2. Physics Thesis (2012) Fermionic Isocurvature Perturbation (Advisor: Daniel Chung)