Du Pei

E-mail: pei_at_caltech.edu

Biography:

  • MSRI Postdoctoral fellow, Fall 2019.
  • QGM-Caltech joint postdoc, 2016-2019
  • Caltech, Ph.D. 2016 (Advisor: Sergei Gukov)
  • Peking University, B.Sc. 2011.

Research interests:

  • invariants of 3- and 4-manifolds
  • Higgs bundles
  • mirror symmetry
  • categorification
  • conformal field theory and TQFT
  • dynamics of supersymmetric gauge theories
  • various other topics in mathematical physics

Papers:

  • "4-manifolds and topological modular forms," arXiv:1811.07884 (w/ Sergei Gukov, Pavel Putrov and Cumrun Vafa).
  • "Identities for Poincaré polynomials via Kostant cascades," arXiv:1810.05615 (w/ Jørgen E. Andersen and Jens C. Jantzen).
  • "3d TQFTs from Argyres-Douglas theories," arXiv:1809.04638 (w/ Mykola Dedushenko, Sergei Gukov, Hiraku Nakajima and Ke Ye).
  • "Mirror symmetry with branes by equivariant Verlinde formulas," Geometry and Physics: A Festschrift in honour of Nigel Hitchin, Volume 1, Chapter 9, arXiv:1712.04408 (w/ Tamas Hausel and Anton Mellit).
  • "Argyres-Douglas Theories, Chiral Algebras and Wild Hitchin Characters," JHEP, arXiv:1701.08782 (w/ Laura Fredrickson, Wenbin Yan and Ke Ye).
  • "BPS spectra and 3-manifold invariants," arXiv:1701.06567 (w/ Sergei Gukov, Pavel Putrov and Cumrun Vafa).
  • "The Verlinde Formula for Higgs Bundles," arXiv:1608:01761 (w/ Jørgen E. Andersen and Sergei Gukov).
  • "Equivariant Verlinde algebra from superconformal index and Argyres-Seiberg duality," Comm. Math. Phys., arXiv:1605.06528 (w/ Sergei Gukov, Wenbin Yan and Ke Ye).
  • "A 3d-3d appetizer," JHEP, arXiv:1503.04809 (w/ Ke Ye).
  • "Equivariant Verlinde formula from fivebranes and vortices," Comm. Math. Phys., arXiv:1501.01310 (w/ Sergei Gukov).

Ph.D Thesis:

Talks:

  • 08/2019, Mini-course on "Physics and Geometry of BPS States," Introductory Workshop: Holomorphic Differentials in Mathematics and Physics, MSRI. Video 1, 2, 3
  • 06/2019, "3d TQFTs from 4d CFTs," Workshop on Mathematics and Physics of Knots, Mittag-Leffler Institute.
  • 06/2019, "Verlinde Algebras for Higgs bundles," Conference on Verlinde Algebras and Grassmannians, Sun-Yat Sen University.
  • 06/2019, "New TQFTs from DAHA (Part 2)," Conference on Geometric Representation Theory and Low-Dimensional Topology, ICMS Edinburgh.
  • 06/2019, "Taming the Non-Unitary Zoo with Wild Higgs Bundles," New Developments in Quantum Topology, Berkeley.
  • 06/2019, "Introduction to q-series $\hat Z_a (M_3; q)$," New Developments in Quantum Topology, Berkeley.
  • 05/2019, "Brane Quantization and Representations of DAHA ," iGAP Seminar, ICTP, Trieste.
  • 05/2019, "Taming the Non-Unitary Zoo with Wild Higgs Bundles," University of Heidelberg.
  • 04/2019, "New developments in physical mathematics," Humboldt University of Berlin.
  • 03/2019, "3d TQFTs from non-Lagrangian theories ," Aspen Center for Physics.
  • 03/2019, "4-manifolds and topological modular forms," Conference on Hidden Algebraic Structures in Topology, Caltech.
  • 03/2019, "Practical computation for q-series \hat Z_a," ICERM, Providence.
  • 02/2019, "Modular tensor categories from the Coulomb branch," Symplectic Geometry, Gauge Theory, and Categorification Seminar, Columbia University.
  • 02/2019, "4-manifolds and topological modular forms," Geometry Seminar, UT Austin.
  • 02/2019, "Modular tensor categories from wild Higgs bundles," Workshop on Holomorphic Differentials in Mathematics and Physics, Simons Center for Geometry and Physics. Video
  • 02/2019, "Non-unitary modular categories from the Coulomb branch," Workshop on Representation theory, gauge theory, and integrable systems, Kavli IPMU.
  • 01/2019, "Modular tensor categories from the Coulomb branch," Geometry and Topology Seminar, Caltech.
  • 01/2019, "Modular tensor categories from the Coulomb branch," workshop on Geometry and Beyond, IASM, Harbin.
  • 12/2018, "Modular tensor categories from the Coulomb branch," workshop on Gauge Theory and Vertex Algebra, Simons Center for Geometry and Physics. Video
  • 11/2018, "4-manifolds and topological modular forms," Max Planck Institute for Mathematics, Bonn.
  • 11/2018, "6d (1,0) theories, 4-manifolds and topological modular forms,'' Strings, CFT & Integrability Seminar, ETH Zurich.
  • 11/2018, "Wild Higgs bundles and modular categories,'' Mathematical Physics Seminar, University of Michigan.
  • 11/2018, "On new homological and homotopy-theoretic invariants of manifolds," Program on Quantum Knot Invariants and Supersymmetric Gauge Theories, KITP. Video
  • 10/2018, "4-manifolds and topological modular forms," Nielson Retreat, Sandbjerg Estate.
  • 09/2018, "Modular tensor categories from wild Higgs bundles," Workshop on Geometric and Categorical Aspects of CFTs, Oaxaca, Mexico. Video
  • 09/2018, "Wild Higgs bundles and Modular Categories," Workshop on Geometry and Physics of Quantum Curves, Banff, Canada. Video
  • 09/2018, "Higgs bundles, Branes and Mirror Symmetry," Séminaire de la Tortue, University of Geneva.
  • 07/2018, "On Mirror Symmetry of (B,A,A)-Branes," Conference on Quantum Fields, Geometry and Representation Theory, ICTS, Bangalore. Video
  • 07/2018, "2d TQFTs Labeled by Three-manifolds," CQ3MI Summer School and Workshop, University of Southern California.
  • 07/2018, "2D TQFTs Labeled by Three-manifolds," GQTA 2018, Sandbjerg estate.
  • 07/2018, Mini-course on "Verlinde formula for complex Chern-Simons theory," GQTA 2018, Geneva.
  • 06/2018, "On Mirror Symmetry of (B,A,A)-Branes," VBAC 2018, CIRM, Luminy.
  • 05/2018, "2D TQFTs Labeled by Three-Manifolds," Geometry seminar, IST Austria.
  • 04/2018, "On Categorification of the WRT Invariant,'' Workshop on Categorification in Mathematical Physics, Simons Center for Geometry and Physics. Video
  • 03/2018, "2D TQFTs Labeled by Three-Manifolds," conference on Quantum Knot Homology and Supersymmetric Gauge Theories, Aspen.
  • 01/2018, "BPS Spectra and Invariants for 3- and 4-Manifolds," winter school on Partition Functions and Automorphic Forms, JINR.
  • 12/2017, "An E6 Suprise," Representation theory seminar, YMSC, Tsinghua University.
  • 11/2017, "On the Mirror Symmetry of (B,A,A)-Branes," Nielson retreat, Sandbjerg Estate.
  • 09/2017, "Can One Hear the Shape of a Drum?" Mathematical physics seminar, University of Heidelberg.
  • 09/2017, "Can One Hear the Shape of a Drum?" ADS seminar, YMSC, Tsinghua University.
  • 01/2017, "Wild Hitchin Characters," Geometry seminar, IST Austria.
  • 01/2017, "Wild Hitchin Characters," QUANTMOD — Quantization and Moduli Spaces, University of Luxembourg.
  • 09/2016, "The Verlinde formula for Higgs bundles," Hitchin70: Differential Geometry and Quantization, QGM, Aarhus. Video
  • 02/2016, "Verlinde formula for Higgs bundles," Workshop on Higgs Bundles in Geometry and Physics, IWH Heidelberg.
  • 10/2015, Mini-course on "New TQFT's and Equivariant Integration over Moduli Space of Higgs Bundles," NS@50, Chennai Mathematical Institute.
  • 02/2015, "The Equivariant Verlinde formula," Noncommutative Geometry Seminar, Caltech.
  • 11/2014, "Equivariant Integration Over Hitchin Moduli Space," Workshop on Gauged Sigma-Models in Two Dimensions, Simons Center of Geometry and Physics. Video
  • 05/2014, "TQFT and the Geometry of Moduli Spaces," GEAR Junior Retreat, University of Michigan.

Mail Address: Caltech 452-48, Pasadena, CA 91125