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Research
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
See also the google scholar page, my arXiv author page or INSPIRE.
See here for my research group.
Teaching
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.
Some Media
Selected Scientific Talks
Colloquium: Modular Forms are Everywhere
Colloquium: Mock Modular Forms and Applications
Taking the Limit: Quantum Modular Forms in Moonshine, Physics, and Topology , Here is a short version.
Moonshine and the Classification of Certain Mock Modular Forms
Popularizing Videos and Articles
Yes! When I have time I'm into outreach. Communication is a good thing.
Contact
Email:
mcheng AT uva.nl
mcheng AT gate.sinica.edu.tw