The supersingular loci and mass formulas on Siegel modular varieties

The supersingular locus of the Shimura variety for GU(1,s)

The support problem for abelian varieties

The tame level 1 eigencurve is proper

The Tannakian Formalism and the Langlands Conjectures

The Tate Conjecture for Certain Abelian Varieties over Finite Fields

The Tate Conjecture for Powers of Ordinary Cubic Fourfolds Over Finite Fields

The Tate-Shafarevich group for elliptic curves with complex multiplication II

The Tate-Voloch Conjecture for Drinfeld modules

The tempered spectrum of quasi-split classical groups III: The odd orthogonal groups

The tenth order mock theta functions revisited

The terms in Lucas sequences divisible by their indices

The ternary Goldbach problem with arithmetic weights attached to two of the variables

The ternary Goldbach problem with primes from arithmetic progressions

The Theorem of Jentzsch--Szegő on an analytic curve. Application to the irreducibility of truncations of power series

The third moment of quadratic Dirichlet L-functions

The tower of K-theory of truncated polynomial algebras

The trace of Hecke operators on the space of classical holomorphic Siegel modular forms of genus two

The transfer operator for the Hecke triangle groups

The tree of irreducible numerical semigroups with fixed Frobenius number