Du Pei

Contact:

E-mail: dpei_at_cmsa.fas.harvard.edu

Mailing address:

20 Garden Street,

Cambridge, MA 02138.

Biography:

  • Postdoc at CMSA, Harvard, 2020-present.

  • 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:

  • conformal field theory and TQFT

  • invariants of 3- and 4-manifolds

  • Higgs bundles and mirror symmetry

  • dynamics of supersymmetric gauge theories

  • various other topics in mathematical physics

Future travel (tentative):

  • August 10-14, Summer School on "Physical Mathematics of Quantum Field Theory,'' UMass Amherst. (Moved to 2021)

  • June 15-19, School-Workshop on Mirror Symmetry, IST Lisbon. (Moved to 2021)

  • June 10-13, CQ3MI Workshop, USC Wrigley Institute, Catalina Islands. (Postponed due to COVID-19)

  • March 31-April 2, Simons Center for Geometry and Physics. (Postponed due to COVID-19)

Papers:

  • "Generalized symmetries of T[M] theories," arXiv:2010.15890 (w/ Sergei Gukov and Po-Shen Hsin)

  • "Rozansky-Witten geometry of Coulomb branches and logarithmic knot invariants," arXiv:2005.05347 (w/ Sergei Gukov, Po-Shen Hsin, Hiraku Nakajima, Sunghyuk Park, and Nikita Sopenko)

  • "Trialities of minimally supersymmetric 2d gauge theories," arXiv:1910.13455 (w/ Sergei Gukov and Pavel Putrov).

  • "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:

  • 01/2021, "Quantization of Coulomb branches and double affine Hecke algebras," JMM 2021.

  • 12/2020, "Hidden algebraic structures in geometry from fivebranes," Mathematics Colloquium, UCLA.

  • 12/2020, "Branes and Representations," ReNewQuantum seminar.

  • 11/2020, Mini-course on “TQFTs from Coulomb Branches,” School–Conference on Vertex Algebras and Tensor Categories, Higher School of Economics, Moscow/Zoom.

  • 11/2020, "Modularities from fivebranes," KITP program on Modularity in Quantum Systems. Video

  • 10/2020, "Branes in the moduli space of Higgs bundles," Workshop on Special holonomy and branes, American Institute of Mathematics, San Jose/Zoom.

  • 07/2020, "On compatifications of 6d relative theories," String-Math 2020, South Africa/Zoom. Video

  • 06/2020, "Geometry and Physics of 2d (0,1) theories," Joint Mathematical Physics Seminar, online.

  • 06/2020, "On Quantization of Coulomb Branches," Online China Geometry and Physics Seminar.

  • 02/2020, "BPS states and 3d TQFTs," Workshop on Topological and Geometric Recursion, Institute of the Mathematical Sciences of the Americas, Miami.

  • 02/2020, "New developments in physical mathematics," University of Amsterdam.

  • 12/2019, "New developments in physical mathematics," Southeast University of China

  • 12/2019, "2d (0,1) trialities,'' Physics Department, Peking University.

  • 11/2019, "On new homological and homotopy-theoretic invariants of manifolds," String-Math Seminar, UC Berkeley.

  • 10/2019, "2d (0,1) trialities," Physics Department, Fudan University.

  • 10/2019, "4d symplectic duality," Workshop on 3d Mirror Symmetry and AGT Conjecture, IASM, Zhejiang University.

  • 10/2019, Mini-course on "Invariants of Manifolds from Non-Gauge Theories," School and Workshop on Gauge Theories and Differential Invariants, ICTP, Trieste.

  • 09/2019, "4-manifolds and topological modular forms,'' Workshop on 4-manifolds, Max Planck Institute for Mathematics, Bonn.

  • 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.