Research at Bilkent MathematicsResearch activities at the Department of Mathematics are grouped into four classical areas of pure and applied mathematics. Each group consist of several faculty members and graduate students and holds regular weekly seminars and other activities.Algebra & ArithmeticCommutative algebra, invariant theory, algebraic geometry, geometric group theory. Analytic number theory. Algebraic topology. Finite group theory, fusion systems. Representation theory, Clifford theory, Galgebras. Algebraic combinatorics, graph theory, Gposets. Ring theory. Formal concept analysis.Participating faculty: Laurence J. Barker, Ahmet Güloğlu, Anargyros Katsampekis, Yosum Kurtulmaz, Müfit Sezer, Özgün Ünlü, Hamza Yeşilyurt AnalysisFunctional analysis, operator theory, operator algebras, matrix and numerical analysis, quantum operations. Potential theory, orthogonal polynomials, approximation theory. Complex analysis and operator theory in spaces of holomorphic and harmonic functions of several variables. Theory of entire functions, Polya frequency sequences. Analysis on Wiener space, Malliavin calculus and its applications, MongeKantorovich measure transportation and MongeAmpere equation on Wiener space. Differential operators and differential equations. Dynamical systems, partial differential equations, delay differential equations.Participating faculty: Fatihcan Atay, Aurelian Gheondea, Alexander Goncharov, H. Turgay Kaptanoğlu, Türker Özsarı, Ali Süleyman Üstünel, Natalya Zheltukhina Geometry & TopologyAlgebraic geometry; geometry and arithmetic of K3surfaces. Topology of real and complex algebraic varieties. Algebraic and geometric topology; classical knot theory. Geometric group theory, finite group actions on topological spaces, geometric structures associated to groups. Differential geometry, Riemannian geometry, pseudoRiemannian geometry and Lorentzian geometry, global analysis on manifolds, general relativity and quantum field theories.Participating faculty: Alexander Degtyarev, Cihan Okay, Ali Sinan Sertöz, Bülent Ünal, Özgün Ünlü, Ergün Yalçın Applied MathematicsGeneral relativity, mathematical physics; integrability of nonlinear PDEs, higherdimensional classical field theories, strings and classical theory of gravitation. Mathematical theory of statistical physics, probability theory, financial mathematics, data science. Dynamical systems. Complex systems and network analysis. Systems and control theory. Mathematical biology and neuroscience.Participating faculty: Fatihcan Atay, Metin Gürses, Yaghoub Heydarzade, Azer Kerimov, Ali Süleyman Üstünel, Gökhan Yıldırım
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Department of Mathematics
Bilkent University 06800 Ankara, Turkey Phone: +90 (312) 2901586 / 2664377 Fax: +90 (312) 2664579 