A bstract The Swampland Distance Conjecture suggests that an infinite tower of modes
becomes exponentially light when approaching a point that is at infinite proper distance in …

A bstract We analyse the Weak Gravity Conjecture for chiral four-dimensional F-theory
compactifications with N= 1 supersymmetry. Extending our previous work on nearly …

A bstract Recent string theory tests of swampland ideas like the distance or the dS
conjectures have been performed at weak coupling. Testing these ideas beyond the weak …

A bstract We investigate the interplay between the enumerative geometry of Calabi-Yau
fourfolds with fluxes and the modularity of elliptic genera in four-dimensional string theories …

A bstract We investigate holomorphic anomalies of partition functions underlying string
compactifications on Calabi-Yau fourfolds with background fluxes. For elliptic fourfolds the …

A bstract We discuss the period geometry and the topological string amplitudes on
elliptically fibered Calabi-Yau fourfolds in toric ambient spaces. In particular, we describe a …

A bstract We make a proposal for calculating refined Gopakumar-Vafa numbers (GVN) on
elliptically fibered Calabi-Yau 3-folds based on refined holomorphic anomaly equations. The …

Motivated in part by the modular properties of enumerative invariants of K3-fibered Calabi-
Yau threefolds, we introduce a family of 39 Calabi-Yau mirror pairs $(X, Y) $ with $ h_ {1 …

The guiding principle in this monograph is to develop a new theory of modular forms which
encompasses most of the available theory of modular forms in the literature, such as those …

A fundamental object of study in mirror symmetry of $ n $-dimensional Fano varieties is the A-
side connection on small quantum cohomology. When the Picard rank is 1, the Borel …