#### Research Group

- Algebraic Geometry
- Algebraic Topology and its Applications
- Analysis and Geometry
- Artificial Intelligence and Machine Learning
- Computational Mathematics
- Digital Economy
- Mathematical Physics and General Relativity
- Number Theory and Representation Theory
- Quantum Fields and Strings
- Quantum Symmetry
- Statistics, Probability and Data Science

String theory provides a fully consistent framework to unify all interactions, including Quantum Gravity. It a prime theoretical laboratory to test ideas and proposed physical principles for Quantum Gravity in general and in particular in its black hole sectors.

Studying string theory and specially black holes in string theory last two decades has also led to the discovery of deep and surprising connections between black holes and many declines in pure mathematics.

Recent developments in string theory reveals that the string theory landscape of false vacua is vast, so it is natural to ask whether the landscape is as immense as allowed by consistent effective field theories.

This leads to the swampland program to characterize the physical theories which admit a UV-completion/non-perturbative-completion to a consistent Quantum Gravity. Last but not least, string theory is a very powerful/suggestive tool for mathematics with particular reference to the geometry of moduli spaces of Calabi-Yau manifolds of various dimensions and enumerative Algebraic Geometry. The main directions of research actively pursued are: (1) the swampland program, (2) geometry of Calabi-Yau moduli spaces, (3) geometrical techniques for the non-perturbative solutions of interacting QFTs in various dimensions (4) quantum aspects of black holes and (5) scattering amplitude.

# Kimyeong Lee

Professor

# Babak Haghighat

Associate Professor

# Jahed Abedi

Assistant Professor

# Luis Apolo

Assistant Professor

# Wei Cui

Assistant Professor

# Shailesh Lal

Assistant Professor

# Laurentiu Rodina

Assistant Professor

# Juntao Wang

Assistant Professor

# Zheyan Wan

Assistant Professor

# Fengjun Xu

Assistant Professor