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 / WORK IN MOTION
A small toric-code simulation with hcphases 0.8.0 finds a strong correlation between distant winding loops at low temperature. Field maps compare that signal with the published ground-state phase diagram and show how it fades with heating.
Read update : How topological order shows up in winding loops
TORIC CODE / FIELD MAP AT T = 0.125
A Python toolkit for thermal observables of homological quantum codes, using a quantum-to-classical mapping. A small Ising demonstration puts the workflow into action.
Read update : hcphases: from quantum codes to numerical experiments.
FIRST BENCHMARK / THE 2D ISING BOUNDARY
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 and around Shanghai.
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