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 ...

We present an asymptotically fast algorithm for the numerical evaluation of modular functions such as the elliptic modular function j. Our algorithm makes use of the natural connection between the ...

Dec. 22 marks the 125th anniversary of the birth of Srinivasa Ramanujan, an Indian mathematician renowned for intuiting extraordinary numerical patterns without the use of proofs or modern ...

In 1994, an earthquake of a proof shook up the mathematical world. The mathematician Andrew Wiles had finally settled Fermat’s Last Theorem, a central problem in number theory that had remained open ...