Introduction
Introductory Video
Sabancı University has graduate programs leading to M.Sc and Ph.D degrees in Mathematics and a Minor Honors Program in Mathematics aimed at students of engineering and economics programs. The research within the Mathematics Group at Sabancı University focus on:
Algebra, Number Theory and Applications (finite fields, curves over finite fields, algebraic coding theory, pseudorandom number generators, enumerative combinatorics, integer partitions and q-series).
Analysis (functional and complex analysis, differential equations, probability and distributions)
Research Areas
Algebra, Number Theory and Applications
The theory of finite fields has a long tradition in mathematics. Originating from problems in number theory (Euler, Gauss), the theory was first developed purely out of mathematical curiosity. For a long time, this theory was used exclusively in pure mathematics, in areas such as number theory, algebraic geometry, group theory, and so on, without any relevance to applications.
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Analysis
The research interests of the Analysis Group lie mainly in Functional Analysis and Complex Analysis with emphasis on the structure theory of locally convex spaces; in particular, spaces of analytic, harmonic, and infinitely differentiable functions of several variables.
The following areas are of particular interest: linear topological invariants, isomorphisms and bases in locally convex spaces; complex potential theory, approximation and interpolation of analytic and harmonic functions, composition operators on analytic function spaces; probability measures in infinite dimensional spaces, nonlinear theory of distributions; as well as operator theory, pseudo-differential operators and partial differential equations.