- Algebraic geometry--Arithmetic problems. Diophantine geometry--Arithmetic varieties and schemes; Arakelov theory; heights. msc (1)
- Algebraic geometry--Birational geometry--Arcs and motivic integration. msc (1)
- Algebraic geometry--Families, fibrations--Arithmetic ground fields (finite, local, global). msc (1)
- Manifolds and cell complexes--Low-dimensional topology--Invariants of knots and 3-manifolds. msc (1)
- Number theory--Arithmetic algebraic geometry (Diophantine geometry)--Heights. msc (1)
- Number theory--Arithmetic algebraic geometry (Diophantine geometry)--Varieties over finite and local fields. msc (1)
- Number theory--Discontinuous groups and automorphic forms--Langlands $L$-functions; one variable Dirichlet series and functional equations. msc (1)
- Number theory--Exponential sums and character sums--Estimates on exponential sums. msc (1)
- Topological groups, Lie groups--Lie groups--Representations of Lie and linear algebraic groups over local fields. msc (1)
- p-adic analysis--Study and teaching (1)