Number theory is one of the most ancient and fundamental branches of mathematics. Originally it was mainly occupied with finding natural solutions of algebraic equations. For example, solving the equation x^2+y^2=z^2 describes all right-angle triangles with integral side lengths. Nowadays, number theory is very diverse and relates to nearly all other areas: algebra and algebraic geometry, group representation theory, analysis, including complex and non-archimedean ones, dynamics and probability, model theory. Main directions represented in our group are: representation theory, modular forms, automorphic forms and L-functions, algebraic geometry, p-adic methods and non-archimedean methods.
Faculty members in Number Theory & Algebraic Geometry:
- Ehus de Shalit: p-adic uniformization, p-adic properties of Shimura varieties and modular forms, p-adic representations of reductive groups over local fields.
- Hershel Farkas (emeritus): Complex function theory, Riemann surfaces, Theta functions, Combinatorial number theory.
- David Kazhdan (emeritus): Representation theory, combinatorics
- Elon Lindenstrauss: Ergodic theory, Dynamical systems, and their applications to number theory.
- Ron Livne: Algebraic geometry, Modular forms, Diophantine equations.
- Jasmin Matz: Automorphic forms, Trace formula, Analytic number theory.
- Tomer Schlank: Arithmetic geometry, Algebraic topology.
- Ari Shnidman: Arithmetic geometry, Arithmetic statistics, Automorphic forms.
- Michael Temkin: Algebraic geometry and non-archimedean geometry, birational geometry, resolution of singularities, valued fields.
- Yaakov Varshavski: Algebraic and arithmetic geometry, Algebraic groups, Geometric aspects of Langlands's program.
- Shaul Zemel: Modular and Automorphic Forms, Weil Representations, Theta Lifts, Thomae Formulae, Lattices.
- Tamar Ziegler: Ergodic theory, Number theory, Combinatorics.