Modular forms provide a powerful mathematical framework for understanding symmetry in two-dimensional quantum field theories. In conformal field theory (CFT), these holomorphic functions obey ...

Quantum modular forms have emerged as a versatile framework that bridges classical analytic number theory with quantum topology and mathematical physics. Initially inspired by the pioneering work on ...

From December 12 through December 20, 2022, the following special lecture by Professor Katrin Wendland (Trinity College Dublin, Ireland) will be delivered as part of the international educational ...

Abstract: We study graded traces of vectors in free bosonic vertex operator algebras and lattice vertex operator algebras. We show in particular that trace functions in these two theories always have ...

This presentation has two parts. The first half discusses the major factorization algorithms when ECM was discovered in 1985, stressing the similarities between ECM and P +- 1. The second half ...

Critical values of modular L-functions are objects of central importance in arithmetic geometry and number theory. These numbers are predicted to encode deep arithmetic information by the Birch and ...

Modular forms play a significant role in string theory due to their unique mathematical properties, which align well with the physical concepts and requirements of string theory. Here are some key ...