Modular forms and Jacobi forms play a central role in many areas of mathematics. Over the
last 10–15 years, this theory has been extended to certain non-holomorphic functions, the so …

We show that the meromorphic Jacobi form that counts the quarter-BPS states in N= 4 string
theories can be canonically decomposed as a sum of a mock Jacobi form and an Appell …

In this chapter, we give the definition of Mordell–Weil lattice (in Sect. 6.5). First, we bring
together the concepts from Chaps. 4 and 5 in order to gain a better understanding of the …

Monstrous moonshine relates distinguished modular functions to the representation theory
of the Monster. The celebrated observations that 1= 1, 196884= 1+ 196883, 21493760= 1+ …

A bstract We find and propose an explanation for a large variety of modularity-related
symmetries in problems of 3-manifold topology and physics of 3d\(\mathcal {N}\)= 2 theories …

Mock modular forms have found applications in numerous branches of mathematical
sciences since they were first introduced by Ramanujan nearly a century ago. In this …

A bstract We present results from global fits to the available reactor antineutrino dataset, as
of Fall 2019, to determine the global preference for a fourth, sterile neutrino. We have …

We classify all two-dimensional, unitary, rational conformal field theories with two primaries,
central charge c< 25, and arbitrary Wronskian index. In mathematical parlance, we classify …

In this paper, we relate umbral moonshine to the Niemeier lattices-the 23 even unimodular
positive-definite lattices of rank 24 with non-trivial root systems. To each Niemeier lattice, we …

Abstract Eguchi, Ooguri and Tachikawa observed that the coefficients of the elliptic genus of
type II string theory on K3 surfaces appear to be dimensions of representations of the largest …