# Du Pei

**E-mail: **pei_at_caltech.edu

## Biography:

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:

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:

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:

Ph.D Thesis:

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

## Talks:

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 E*Representation theory seminar, YMSC, Tsinghua University._{6}Suprise," - 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