20 Garden Street,
Cambridge, MA 02138.
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.
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)
"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).
"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).
"3d-3d Correspondence for Seifert Manifolds", CaltechTHESIS:05282016-191214961.
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.
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.