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papers:start [2022/12/04 20:44] – pzhou | papers:start [2023/06/25 15:53] (current) – external edit 127.0.0.1 |
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====== Papers ====== | ====== Papers ====== |
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Here is a list of my papers and some informal introductions. | 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 ]] |
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Math Publications | |
1. Peng Zhou. Twisted polytope sheaves and coherent–constructible corre- | ===== Math Papers ===== |
spondence for toric varieties. Selecta Mathematica, 25(1):1–23, 2019 | |
2. Peng Zhou. Lagrangian skeleta of hypersurfaces in Cn. Selecta Mathe- | ==== Homological Mirror Symmetry ==== |
matica, 26(2):1–33, 2020 | - {{ :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 |
3. Lei Wu and Peng Zhou. Log D-modules and index theorems. In Forum | - {{ :papers:lagrangian_skeleta_of_hypersurfaces_in_c-star-n.pdf |Lagrangian skeleta of hypersurfaces in $(\C^*)^n$}}. Selecta Mathematica, 26(2):1–33, 2020 |
of Mathematics, Sigma, volume 9. Cambridge University Press, 2021 | - {{ :papers:sheaf-quantization-of-legendrian-isotopy.pdf |Sheaf quantization of Legendrian isotopy.}} (accepted by Compositio of Math) 2018 |
4. Nero Budur, Robin van der Veer, Lei Wu, and Peng Zhou. Zero loci of | - {{ :papers:variation_of_git_and_variation_of_lagrangian_skeletons_ii_quasi-symmetric_case.pdf |Variation of GIT and variation of Lagrangian |
Bernstein–Sato ideals. Inventiones mathematicae, 225(1):45–72, 2021 | skeletons II: Quasi-symmetric case}}. (with Jesse Huang) Advances in Mathematics, Volume 408, Part A, 2022, 108597 |
5. Nero Budur, Robin van der Veer, Lei Wu, and Peng Zhou. Zero loci of | === preprints === |
Bernstein-Sato ideals-II. Selecta Mathematica, 27(3):1–30, 2021 | - {{ :papers:gkz_discriminant_and_multiplicities.pdf |GKZ discriminant and Multiplicities.}} (with Jesse Huang) arXiv:2206.14778, 2022 |
6. Steve Zelditch and Peng Zhou. Interface asymptotics of partial Bergman | - {{ :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 |
kernels on S1-symmetric K ̈ahler manifolds. Journal of Symplectic Geom- | - {{ :papers:variation_of_git_and_variation_of_lagrangian_skeletons_i-_flip_and_flop.pdf |Variation of GIT and variation of Lagrangian skeletons I: flip |
etry, 17(3):793–856, 2019 | and flop}}. arXiv:2011.03719, 2020 |
7. Steve Zelditch and Peng Zhou. Central limit theorem for spectral partial | ==== Microlocal Analysis ==== |
Bergman kernels. Geometry & Topology, 23(4):1961–2004, 2019 | - {{ :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 |
8. Steve Zelditch and Peng Zhou. Central limit theorem for toric K ̈ahler | - {{ :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 |
manifolds. Pure and Applied Mathematics Quarterly, 17(3):843–864, 2021 | - {{ :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 |
1 | - {{ :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 |
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| ==== 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 |
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===== Physics Papers ===== | ===== 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) |
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- Daniel JH Chung and Peng Zhou. {{ :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 | |
- Daniel JH Chung, Lisa L Everett, Hojin Yoo, and Zhou Peng. {{ :papers:gravitational_fermion_production_in_inflationary_cosmology.pdf |Gravitational fermion production in inflationary cosmology}}. Physics Letters. Section B, 712, 2012 | |
- Daniel JH Chung, Hojin Yoo, and Peng Zhou. {{ :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 | |
- Daniel JH Chung, Hojin Yoo, and Peng Zhou. {{ :papers:fermionic_isocurvature_perturbations.pdf |Fermionic isocurvature perturbations}}. Physical Review D, 91(4):043516, 2015 | |
- Neil Barnaby, Jordan Moxon, Ryo Namba, Marco Peloso, Gary Shiu, and Peng Zhou. {{ :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 | |
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| ===== 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) |
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