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 ...

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 ...

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 ...

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 ...

One of SageMath's computational specialities is (the very technical field of) modular forms and can do a lot more than is even suggested in this very brief introduction. How do you compute the ...

The lecture course “Modular Forms in Geometry and Physics” by Prof. Dr. Katrin Wendland (Trinity College Dublin) was given at Waseda University on 12-15 and 19-20 December 2022. Professor Wendland is ...

We present a new idea for a class of public key quantum money protocols where the bills are joint eigenstates of systems of commuting unitary operators. We show that this system is secure against ...

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 ...

In this paper, we prove that if the Fourier coefficients of a vector-valued modular form satisfy the Hecke bound, then it is cuspidal. Furthermore, we obtain an analogous result with regard to Jacobi ...