Associate Professor · Fudan University × SIMIS
STATUS / ACTIVE · SHANGHAI
Associate Professor
Fudan University × SIMIS
I study algebraic, geometric, and categorical structures in quantum systems, with an emphasis on quantum field theory, integrability, and quantum algebras.
My developing directions include topological quantum information and field-theoretic approaches to learning and statistical inference.
01 / CURRENT OUTPUT
Supersymmetric localization computes refined open BPS invariants for toric Calabi-Yau threefolds with Aganagic-Vafa branes. In the Nekrasov-Shatashvili limit, the defect partition function gives a controlled solution of the quantized mirror curve.
An exact finite-Trotter map turns finite-temperature homological codes into a spacetime polymer gas. Cluster-expansion bounds control topologically nontrivial defects, while a higher-form Kramers-Wannier duality exchanges electric and magnetic sectors.
Conditional diffusion models with finite Gaussian-mixture reverse kernels and neural logits approximate regular target laws in context-averaged conditional KL, up to a terminal mismatch determined by the forward process and reference law; the mismatch can vanish exactly or asymptotically.
02 / ACTIVE PROGRAM
My research seeks structural descriptions of quantum systems: algebraic objects that organize observables and states, geometric constructions that make those objects computable, and field theories that explain why the structures appear.
I study how Yangians, affine Yangians, R-matrices, and related representation-theoretic structures emerge from holomorphic-topological quantum field theories, branes, line operators, and defects.
OPEN PROGRAM → R/02I am developing a field-theoretic approach to topological quantum codes, especially their finite-temperature behavior, dualities, and the statistical-mechanical structures controlling stability.
OPEN PROGRAM → R/03I am interested in mathematical learning theory where probability, statistical mechanics, diffusion, and renormalization provide a common language for approximation and learning dynamics.
OPEN PROGRAM →03 / FIELD RECORD
Shanghai and nearby cities, China
Everyday life in Shanghai and around.
ENTER ALBUM →
Bures, Gif, Orsay & the Yvette valley, France
Scenes from Bures—home of IHES—and nearby towns along the river Yvette.
ENTER ALBUM →
Paris, France
A final quota of Parisian wandering near the end of my time in France.
ENTER ALBUM →
North Wales & London, United Kingdom
Touristic observations from Llandudno, Conwy, and London.
ENTER ALBUM →04 / TRAJECTORY