Prof.
Uriya
First
- Department of Mathematics
University of Haifa
English, Hebrew
- STEM Mathematics
- Field(s): Mathematics
- Mathematics Sub-Field(s) Algebra, Algebraic Geometry, Number Theory
- Research Keywords: algebraic group, arithmetic groups, Azumaya algebra, Brauer group, buildings, central simple algebra, classical group, etale cohomology, expander graphs, Galois cohomology, group scheme, hermitian form, high dimensional expanders, module theory, quadratic form, sheaf theory, topological obstruction theory, Witt group
Research Interests
My current research has two main branches. The first concerns with the theory of algebraic groups and particularly its manifestations in topics such as quadratic and hermitian forms and central simple algebras (often with involution). The questions which I study usually concern with torsors of algebraic groups over a general base ring or scheme. The second branch of my research concerns wit high dimensional expanders. It includes the use of algebraic and number-theoretic techniques for constructing them, as well as applications to coding theory and computational complexity.
