Du Pei

Contact:

I work 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:

• SIMIS, December 2025 -- January 2026

• Oberwolfach, April 19-24

• String-Math, Edinbrugh, June 22-26 

• SLMath, August -- December 2026

Book:

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

Papers: 

• “Generalized Symmetries of T[M] Theories: Part II,”  arXiv:2511.13696 (w/ S. Gukov and P.-S. Hsin)

• “E-Strings and Four-Manifolds,”  arXiv:2511.11807 (w/ David Wu)

• “A new approach to (3+1)-dimensional TQFTs via topological modular forms,”  arXiv:2509.12402 (w/ S. Gukov, V. Krushkal, and L. Meier )

• “On mixed 't Hooft anomalies of emergent symmetries,” arXiv:2506.06432 (w/ W. Gu and X. Yu)

•  “Holomorphic CFTs and topological modular forms,” arXiv:2112.10724 (w/ 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, Part I" 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.

Some recorded talks and lectures

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

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

• 08/2019, Mini-course on "Physics and Geometry of BPS States," Introductory Workshop: Holomorphic Differentials in Mathematics and Physics, MSRI. Video 1, 2, 3

• 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, "On new homological and homotopy-theoretic invariants of manifolds," Program on Quantum Knot Invariants and Supersymmetric Gauge Theories, KITP. Video

• 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

• 07/2018, "On Mirror Symmetry of (B,A,A)-Branes," Conference on Quantum Fields, Geometry and Representation Theory, ICTS, Bangalore. Video

• 04/2018, "On Categorification of the WRT Invariant,'' Workshop on Categorification in Mathematical Physics, Simons Center for Geometry and Physics. Video

• 09/2016, "The Verlinde formula for Higgs bundles," Hitchin70: Differential Geometry and Quantization, QGM, Aarhus. Video

• 11/2014, "Equivariant Integration Over Hitchin Moduli Space," Workshop on Gauged Sigma-Models in Two Dimensions, Simons Center of Geometry and Physics. Video