I am interested in the interaction between Theoretical Physics, Mathematics, and artificial intelligence. I am particularly interested in quantum field theory, string theory, number theory, representation theory, topology, and more. In recent years I am particularly interested in how AI and mathematical sciences can benefit from each other.  And I love moonshine. 

Publication List

Here are the publication/preprint lists in different ArXiv categories: 

- High Energy Theoretical Physics

- Mathematics

- Computer Science

See also the google scholar page, my arXiv author page or INSPIRE.

See here for my research group. 

I like teaching and I teach often at research schools, apart from the usual university teaching. 

Here you can find some lecture notes:

• Slides for 2023 schools (at IAIFI and Oxford) on "Normalizing Flows for Lattice Field Theories".   Videos of the Oxford lecture can be found here. 

• Here is the partial lecture notes for Advanced Quantum Field Theory. 

• TASI lecture notes on Moonshine is available on the arXiv. 

• Here are the lecture notes on "(Mock) Modular Forms in String Theory and Moonshine", given in 2015 in the 10th Asian Winter School on Strings, Particles and Cosmology.

• Here are the lecture notes on "Mathematical Methods in String Theory", given in 2013 in the Amsterdam–Brussels–Paris PhD School.

Selected Scientific Talks

• RG-Guided Diffusion Models

• String Data 2021

• Machine Learning and Theoretical Physics: Some Applications

• Colloquium: Modular Forms are Everywhere

• Colloquium:  Mock Modular Forms and Applications

• 3-manifolds, Log VOAs, and Quantum Modular Forms

• Taking the Limit: Quantum Modular Forms in Moonshine, Physics, and Topology , Here is a short version. 

• Quantum Modularity from 3-Manifolds

• K3 String Theory, Niemeir Lattices, Umbral Moonshine

• Umbral Moonshine, String Theory, and Niemeier Lattices

• Moonshine at TASI I, II

• Moonshine and the Classification of Certain Mock Modular Forms

• Progress on Moonshine

Popularizing Videos and Articles

Yes! When I have time I'm into outreach.  Communication is a good thing. 

• VPRO Documentary

• Quanta Interview

• 台積電盃科學獎演講 (TSMC Science Prize Speech) 

• Quanta

• New Scientist

• 研之有物