Peng Zhou

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====== 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 [[https://scholar.google.com/citations?hl=en&user=poONR4kAAAAJ&view_op=list_works&sortby=pubdate | google scholar ]]


===== Math Papers =====

==== Homological Mirror Symmetry ====
  - {{ :papers:twisted_polytope_sheaves_and_coherent-constructible_correspondence_for_toric_varieties.pdf |Twisted polytope sheaves and coherent–constructible correspondence for toric varieties.}} Selecta Mathematica, 25(1):1–23, 2019
  - {{ :papers:lagrangian_skeleta_of_hypersurfaces_in_c-star-n.pdf |Lagrangian skeleta of hypersurfaces in $(\C^*)^n$}}. Selecta Mathematica, 26(2):1–33, 2020
  - {{ :papers:sheaf-quantization-of-legendrian-isotopy.pdf |Sheaf quantization of Legendrian isotopy.}}  (accepted by Compositio of Math) 2018
  - {{ :papers:variation_of_git_and_variation_of_lagrangian_skeletons_ii_quasi-symmetric_case.pdf |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 ===
  - {{ :papers:gkz_discriminant_and_multiplicities.pdf |GKZ discriminant and Multiplicities.}} (with Jesse Huang) arXiv:2206.14778, 2022
  - {{ :papers:gamma_ii_for_toric_varieties_from_integrals_on_t-dual_branes_and_homological_mirror_symmetry.pdf | Gamma II for toric varieties from integrals on T-dual branes and homological mirror symmetry.}}  arXiv:1903.05300, 2019
  - {{ :papers:variation_of_git_and_variation_of_lagrangian_skeletons_i-_flip_and_flop.pdf |Variation of GIT and variation of Lagrangian skeletons I: flip
and flop}}.  arXiv:2011.03719, 2020
==== Microlocal Analysis ====
  - {{ :papers:interface_asymptotics_of_partial_bergman_kernels_on_s1-symmetric_kahler_manifolds.pdf | Interface asymptotics of partial Bergman kernels on S1-symmetric K ̈ahler manifolds}} (with Steve Zelditch)  Journal of Symplectic Geometry, 17(3):793–856, 2019
  -  {{ :papers:central_limit_theorem_for_spectral_partial_bergman_kernels.pdf |Central limit theorem for spectral partial Bergman kernels.}} (with Steve Zelditch)  Geometry & Topology, 23(4):1961–2004, 2019 
  - {{ :papers:central_limit_theorem_for_toric_kähler_manifolds.pdf |Central limit theorem for toric Kahler manifolds.}} (with Steve Zelditch) Pure and Applied Mathematics Quarterly, 17(3):843–864, 2021 
  - {{ :papers:interface_asymptotics_of_partial_bergman_kernels_around_a_critical_level.pdf | Interface asymptotics of Partial Bergman kernels around a critical level}}.  (with Steve Zelditch)  Arkiv for Matematik, 57(2):471–492, 2019
  - {{ :papers:pointwise_weyl_law_for_partial_bergman_kernels.pdf |Pointwise Weyl law for partial Bergman kernels.}} (with Steve Zelditch)  In Algebraic and analytic microlocal analysis, pages 589–634. Springer, 2018
  -  {{ :papers:nodal_sets_of_random_eigenfunctions_for_the_isotropic_harmonic_oscillator.pdf |Nodal sets of random eigenfunctions for the isotropic harmonic oscillator}}. (with Boris Hanin, Steve Zelditch) International Mathematics Research Notices, 2015(13):4813–4839, 2015
  - {{ :papers:scaling_of_harmonic_oscillator_eigenfunctions_and_their_nodal_sets_around_the_caustic.pdf |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 ====
  - {{ :papers:log_d-modules_and_index_theorems.pdf |Log D-modules and index theorems.}} (with Lei Wu) In Forum of Mathematics, Sigma, volume 9. Cambridge University Press, 2021
  - {{ :papers:zero_loci_of_bernstein-sato_ideals.pdf |Zero loci of Bernstein–Sato ideals}}. (with  Nero Budur, Robin van der Veer, Lei Wu) Inventiones mathematicae, 225(1):45–72, 2021
  - {{ :papers:zero_loci_of_bernstein-sato_ideals-ii.pdf |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)
  - {{ :papers:gravity_waves_as_a_probe_of_the_hubble_expansion_rate_during_an_electroweak_scale_phase_transition.pdf |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). 
  - {{ :papers:gravitational_fermion_production_in_inflationary_cosmology.pdf |Gravitational fermion production in inflationary cosmology}}. Physics Letters. Section B, 712, 2012 (with Daniel JH Chung, Lisa L Everett, Hojin Yoo). 
  - {{ :papers:quadratic_isocurvature_cross-correlation_ward_identity_and_dark_matter.pdf |Quadratic isocurvature cross-correlation, Ward identity, and dark matter}}. Physical Review D, 87(12):123502, 2013  (with Daniel JH Chung, Hojin Yoo)
  - {{ :papers:fermionic_isocurvature_perturbations.pdf |Fermionic isocurvature perturbations}}. Physical Review D, 91(4):043516, 2015 (with Daniel JH Chung, Hojin Yoo)
  - {{ :papers:gravity_waves_and_non-gaussian_features_from_particle_production_in_a_sector_gravitationally_coupled_to_the_inflaton_.pdf |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)


===== Thesis =====
  - Math Thesis (2017) {{ :papers:zhou_northwestern_thesis.pdf |From Fukaya-Seidel category to Constructible Sheaves}} (Advisor: Eric Zaslow)
  - Physics Thesis (2012) {{ :papers:zhou_physics_thesis-fermionic_isocurvature_perturb.pdf | Fermionic Isocurvature Perturbation}} (Advisor: Daniel Chung)