Application deadline for Spring Semester: 4 November 2022, Interviews: 21-23 November 2022.

Applicants passing the first round of evaluations will be sent an invitation for the interviews.Submitted documentation must include: statement of purpose, university transcript, at least two recommendation letters, GRE or ALES scores, proof of English proficiency. Turkish nationals must supply ALES scores. International applicants are to supply GRE scores. Full details can be found at: http://mfbe.bilkent.edu.tr

**Visas for International Students: **The duration of the visa application process varies from country to country. In some cases, the process may take up to 8 weeks, so accepted students are advised to apply for visa as early as possible.

**Graduate Supervisors**

**Fatihcan Atay:** Dynamical systems, delay differential and difference equations, complex systems, networks and graph theory, systems and control, applied mathematics.

**Laurence Barker:** Finite groups,representation theory, modular representation theory, group functors such as Mackey functors and biset functors.

**Alex Degtyarev:** Topology of algebraic varieties, classical algebraic geometry, singularity theory.

**Aurelian Gheondea:** Operator theory and operator algebras, spectral theory of linear partial differential operators, Hermitian and positive semidefinite kernels, quantum operations.

**Alexander Goncharov:** Functional analysis (linear topological structure of spaces of differentiable functions and their traces); potential theory (metric properties of harmonic measures); fractal geometry, approximation theory.

**Ahmet Güloğlu:** Analytic number theory.

**Metin Gürses:** Mathematical physics, applied mathematics. More specifically, general relativity, integrable systems.

** Yaghoub Heydarzade:** Theoretical and mathematical physics: gravitation and cosmology.

** H. Turgay Kaptanoğlu:** Function theory and operator theory in spaces of holomorphic and harmonic functions of several variables.

**Azer Kerimov: **Mathematical theory of statistical physics, probability, mathematical analysis.

**Cihan Okay: **Algebraic topology, quantum information theory.

**Türker Özsarı: **Analysis of partial differential equations and control theory.

**Naci Saldı: **Stochastic control theory, game theory, machine learning, information theory, probability theory and its applications.

**Sinan Sertöz:** Algebraic geometry, algebraic cycles and Hodge theory, K3 surfaces, Arf rings and the Frobenius Diophantine problem.

**Müfit Sezer: **Group actions and their invariants, commutative and combinatorial algebra.

**Bülent Ünal: **Differential geometry, in particular, Lorentzian geometry, Riemannian and pseudo-Riemannian geometries. Warped product space-time models and mathematical theory of general relativity. Global analysis on manifolds.

**Özgün Ünlü: **Algebraic topology, in particular group actions on complex and manifolds and homotopy theory.

** Süleyman Üstünel:** Probability and analysis: Stochastic calculus on nuclear spaces, stochastic partial differential equations. Analysis on Wiener space, Malliavin calculus and its applications, Monge-Kantorovich measure transportation and Monge-Ampere equation on Wiener space.

**Ergün Yalçın:** Algebraic topology, in particular, cohomology of groups, group actions on complexes and manifolds, homological algebra over categories.

**Hamza Yeşilyurt:** Analytic number theory: q-series, partitions, theta functions.

**Gökhan Yıldırım:** Probability theory, statistical physics, high-dimensional statistics.

**Deniz Yılmaz:** Representation theory, finite groups, block theory, biset functors.

**Department Graduate Coordinator:** Prof. Metin Gürses (gurses@fen.bilkent.edu.tr)