# 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/*).**"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:

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

## 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. Video10/2020,

*"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. Video06/2020,

*"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 China12/2019,

*"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, 306/2019,

*"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. Video02/2019, "

*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. Video11/2018,

*"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. Video10/2018,

*"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. Video09/2018,

*"Wild Higgs bundles and Modular Categories,"*Workshop on Geometry and Physics of Quantum Curves, Banff, Canada. Video09/2018,

*"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. Video07/2018,

*"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. Video03/2018,

*"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*_{6}*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. Video02/2016, "

*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. Video05/2014, "

*TQFT and the Geometry of Moduli Spaces,"*GEAR Junior Retreat, University of Michigan.