Local-global principles for hermitian spaces over semi-global fields

Moonshine and Elliptic Curves

Isogenies of Elliptic Curves and Arithmetical Structures on Graphs

Local-global principles for norm one tori and multinorm tori over semi-global fields

Non-Archimedean and Tropical Techniques in Arithmetic Geometry

Connections between mock modular forms and vertex operator algebras

Monstrous moonshine, elliptic curves and vertex algebras