Du Pei

Contact:

I am now at the Centre for Quantum Mathematics at the University of Southern Denmark. 

Email: dpei_at_imada.sdu.dk 

               (or, alternatively, pei.du.physics_at_gmail)

Address: Campusvej 55, 5230 Odense M, Denmark

Future travel (tentative):

• Princeton, March 24-27; Uppsala, April 10-12; ...

Book:

• “Branes and DAHA Representations,” SpringerBriefs in Mathematical Physics (with S. Gukov, P. Koroteev, S. Nawata, and I. Saberi)

Papers: 

•  “Holomorphic CFTs and topological modular forms,” arXiv:2112.10724 (with Y.-H. Lin)

• “Symmetries of 2d TQFTs and Equivariant Verlinde Formulae for General Groups,” arXiv:2111.08032 (w/ S. Gukov, C. Reid, and A. Shehper)

• "On Phases of 3d N=2 Chern-Simons-Matter Theories," arXiv:2105.02247 (w/ Wei Gu and Ming Zhang)

• "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/ S. Gukov, P.-S. Hsin, H. Nakajima, S. Park, and N. 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," Journal of Lie Theory, arXiv:1810.05615 (w/ Jørgen E. Andersen and Jens C. Jantzen).

• "3d TQFTs from Argyres-Douglas theories," J. Phys. A,  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:

• "3d-3d Correspondence for Seifert Manifolds", CaltechTHESIS:05282016-191214961.

Selected Talks:

• 11/2022 Mini-course on “VOAs from higher-dimensional QFTs”, School and workshop on “Quantum symmetries: Tensor categories, Topological quantum field theories, Vertex algebras”, CRM, Montreal.

• 08/2022 "Quantum Field Theory and Topological Modular Forms,” Simons Summer Workshop, SCGP.

• 08/2022 Mini-course on “Invariants of Manifolds from 6d QFTs," School on Physical Mathematics of Quantum Field Theory, UMass Amherst.

• 07/2022 “Wall-Crossing from Higgs Bundles to Vortices,” Conference on Enumerative Invariants, Quantum Fields and String Theory Correspondences, Institut Mittag-Leffler.

• 06/2022 Mini-course on "Mirror symmetry and Higgs moduli spaces,” Workshop-School on Mirror Symmetry and Moduli Spaces, Lisbon.

• 01/2022 “Holomorphic CFT and Topological Moduar Forms,” Fields and String Seminar, LMU Munich.

• 11/2021 “TQFTs from Coulomb Branches,” Banff workshop on Quantum Field Theories and Quantum Topology Beyond Semisimplicity.

• 07/2021 “New Invariants of Manifolds from String Theory,” Simons Summer Workshop.

• 07/2021 “Verlinde Formula for PSL(2,C) Higgs bundles”, VBAC online workshop on Geometry and Quantization of Moduli Spaces

• 06/2021 “Verlinde Formula, Brane Quantization, and Mirror Symmetry,” School on Mirror Symmetry and Moduli Spaces 2021.

• 05/2021, "Hidden Algebraic Structures in Geometry from Fivebranes," Pure Maths Colloquium, University of Sheffield.

• 05/2021, "Three Applications of TQFTs," CMSA Member Seminar.

• 05/2021, "On Phases of 3d N=2 Chern-Simons-Matter Theories," Caltech High Energy Theory Journal Club.

• 03/2021, "On new invariants of manifolds from quantum field theories,'' Online Seminar Series on Knot Theory.

• 02/2021, "On the compactification of 6d theories,'' QFT and Geometry Seminars.

• 02/2021, "On Quantization of Coulomb Branches,'' Mathematical colloquium, BMSTU Moscow.

• 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.