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 ...

American Journal of Mathematics, Vol. 129, No. 2 (Apr., 2007), pp. 429-454 (26 pages) If F(z) is a newform of weight 2λ and D is a fundamental discriminant, then let $ {\rm{L(F}} \otimes \chi ...

Recently, Bruinier, Kohnen and Ono obtained an explicit description of the action of the theta-operator on meromorphic modular forms f on SL₂(Z) in terms of the values of modular functions at points ...

The original version of this story appeared in Quanta Magazine. In 1994, an earthquake of a proof shook up the mathematical world. The mathematician Andrew Wiles had finally settled Fermat’s Last ...