papers:start
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Table of Contents
Papers
Here is a list of my papers and some informal introductions. The links are for pdf of the journal versions if applicable.
Math Papers
Homological Mirror Symmetry and related
- Twisted polytope sheaves and coherent–constructible correspondence for toric varieties. Selecta Mathematica, 25(1):1–23, 2019
- Lagrangian skeleta of hypersurfaces in $(\C^*)^n$. Selecta Mathematica, 26(2):1–33, 2020
- Sheaf quantization of Legendrian isotopy. arXiv:1804.08928, (accepted by Compositio of Math) 2018
- Variation of GIT and variation of Lagrangian skeletons I: flip and flop. arXiv:2011.03719, 2020
- Variation of GIT and variation of Lagrangian skeletons II: Quasi-symmetric case. (with Jesse Huang) arXiv:2011.06114, 2020
- GKZ discriminant and Multiplicities. (with Jesse Huang) arXiv:2206.14778, 2022
arXiv:1903.05300, 2019
Microlocal Analysis
- Interface asymptotics of partial Bergman kernels on S1-symmetric K ̈ahler manifolds (with Steve Zelditch) Journal of Symplectic Geometry, 17(3):793–856, 2019
- Central limit theorem for spectral partial Bergman kernels. (with Steve Zelditch) Geometry & Topology, 23(4):1961–2004, 2019
- Central limit theorem for toric Kahler manifolds. (with Steve Zelditch) Pure and Applied Mathematics Quarterly, 17(3):843–864, 2021
- Interface asymptotics of Partial Bergman kernels around a critical level. (with Steve Zelditch) Arkiv for Matematik, 57(2):471–492, 2019
- Pointwise Weyl law for partial Bergman kernels. (with Steve Zelditch) In Algebraic and analytic microlocal analysis, pages 589–634. Springer, 2018
- Nodal sets of random eigenfunctions for the isotropic harmonic oscillator. (with Boris Hanin, Steve Zelditch) International Mathematics Research Notices, 2015(13):4813–4839, 2015
- 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
- Log D-modules and index theorems. (with Lei Wu) In Forum of Mathematics, Sigma, volume 9. Cambridge University Press, 2021
- Zero loci of Bernstein–Sato ideals. (with Nero Budur, Robin van der Veer, Lei Wu) Inventiones mathematicae, 225(1):45–72, 2021
- Zero loci of Bernstein-Sato ideals-II. (with Nero Budur, Robin van der Veer, Lei Wu) Selecta Mathematica, 27(3):1–30, 2021
Physics Papers
In a previous life, I also did some physics (theoretical cosmology, particle production during Big Bang, etc)
- 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).
- Gravitational fermion production in inflationary cosmology. Physics Letters. Section B, 712, 2012 (with Daniel JH Chung, Lisa L Everett, Hojin Yoo).
- Quadratic isocurvature cross-correlation, Ward identity, and dark matter. Physical Review D, 87(12):123502, 2013 (with Daniel JH Chung, Hojin Yoo)
- Fermionic isocurvature perturbations. Physical Review D, 91(4):043516, 2015 (with Daniel JH Chung, Hojin Yoo)
- 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)
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