Talks

Organizing

2026 The Geometry and Physics of Higgs Bundles Kavli IPMU, Kashiwa, 22–24 June. Co-organized with Hisashi Kasuya, Hiraku Nakajima, Laura Schaposnik and Mengxue Yang.
2017–20 Sheldon’s Student Seminar A student seminar on enumerative geometry at the University of Illinois at Urbana–Champaign. Full schedule of 94 talks with abstracts.
2017–18 Graduate Student Algebraic Geometry Seminar University of Illinois at Urbana–Champaign
2016–17 Geometric Langlands Learning Group University of Illinois at Urbana–Champaign

2024 Mirror partners from parahoric integrable systems Research in Residence, CIRM Luminy, Marseille, 22 July – 2 August. With Pengfei Huang and Georgios Kydonakis.
2024 Mirror partners from parahoric integrable systems Research stay, Mathematisches Forschungsinstitut Oberwolfach, June. With Pengfei Huang, Georgios Kydonakis and Hao Sun.

May Vafa–Witten invariants, fixed loci, and ruled surfaces Geometry, Algebra and Mathematical Physics Seminar, Nanjing University, Nanjing
February Tame defects and parahoric Hitchin systems Derived & Noncommutative Geometry Seminar, Shanghai Institute for Mathematics and Interdisciplinary Studies, Shanghai

December Perverse sheaf Gopakumar–Vafa / Pandharipande–Thomas correspondence for local del Pezzo surfaces Workshop on Mirror Symmetry and Related Topics, Kyoto University, 15–19 December
October Vafa–Witten invariants for ruled surfaces GTM Seminar, Kavli IPMU, Kashiwa
September Perverse sheaf Gopakumar–Vafa / Pandharipande–Thomas correspondence for local del Pezzo surfaces Counting Invariants and Enumerative Geometry, Brin Mathematics Research Center, University of Maryland, 22–26 September
February Moduli of parabolic Higgs bundles and Langlands duality Tsukuba Workshop for Young Mathematicians 2025, University of Tsukuba — online

October Parahoric Higgs bundles and related geometry GTM Seminar, Kavli IPMU, Kashiwa
June Geometry of parahoric Higgs bundles Foundational Mathematics Research Seminar, Xi’an Jiaotong-Liverpool University, Suzhou
Apr–May BPS counting from spectral networks, I–III RIT on Geometry and Physics, University of Maryland — three talks, 25 April, 2 and 9 May

November Nonabelian Hodge theory for parahoric torsors Workshop on Geometric Representation Theory and Moduli Spaces, University of North Carolina at Chapel Hill, 17–19 November
May The journey through nonabelian Hodge theory: from vector bundles to parahoric torsors Hua Luogeng Youth Forum, Academy of Mathematics and Systems Science, Chinese Academy of Sciences

July Stability of parahoric Higgs bundles Mid-South Algebraic Topology and Geometry Workshop, 18–21 July — online
Mar–Apr Gopakumar–Vafa invariants and support theorems, I–II Algebra–Number Theory Seminar, University of Maryland — two talks, 28 March and 4 April
February Supersymmetric Yang–Mills theory and geometric Langlands duality RIT on Geometry and Physics, University of Maryland
February Topological twists RIT on Geometry and Physics, University of Maryland

November Stability condition for tame parahoric Higgs bundles Geometry and Topology Seminar, Chern Institute of Mathematics, Nankai University
September Intersection cohomology and moduli space Mini-course, South China University of Technology

October Gopakumar–Vafa invariants from Macdonald formula Joint CUHK–Harvard–YMSC Differential Geometry Seminar, Harvard University
February Gopakumar–Vafa invariants from Macdonald formula Séminaire Arithmétique et géométrie algébrique, University of Strasbourg

October Supersymmetry and Morse theory Graduate Geometry and Topology Seminar, UIUC
June Calculating Gopakumar–Vafa invariants Summer School on Geometry of Moduli Spaces of Curves, ICTP, Trieste, 18–22 June