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H O M E

MATHEMATICAL PHYSICS

Major Graduate Level Research Activities

  • General Relativity and Gravitation.
  • Group Theoretical Methods in Physics.
  • Nonlinear Problems and Integrable Systems.
  • Relativistic Cosmological Models.
  • Supersymmetry and Supergravity.

Group Members and Field of Interest

Selcuk Bayın
Non-singular cosmological models. Constructing a physical model for the dimensional reduction in the early universe and studying the effects on the observable parameters of the universe. Black-hole thermodynamics and its extention to other geometries.
Sibel Başkal
Manifestations of the Poincare group and group contractions in optical sciences. Problems in classical field theories such as sigma models, non-abelian gauge fields and general relativity with a particular focus on their symmetry properties.
Atalay Karasu
Einstein's equations in higher dimensions. Harmonic mappings. Sigma models. Integrability and symmetries of nonlinear partial differential equations. Generalized symmetries and recursion operators.
Ayşe Kalkanlı Karasu
Integrable systems. Symmetries of nonlinear differential equations. Singularity analysis.
Bahtiyar Özgür Sarıoğlu
Gravitational theories, superstring theories, integrable systems, electromagnetic duality.
Bayram Tekin
Quantum Field Theory,Gravity, Quantum Gravity and String Theory Applications of Quantum Field Theory to Condensed Matter Systems.

Graduate Students

Tahsin Çağrı Şişman, PhD
              
Halil Kuyrukçu, PhD
Higher curvature gravity models
Çetin Şentürk, PhD
Colliding plane wave solutions in string theory

Former Graduate Students (2000 - ....)

Koray Karaca, MS
Singularity-free cosmological models (2000).
Supervisor: Prof. Dr. Selçuk Bayın.

Ali Can Günhan, MS
A class of coupled KdV systems and their bi-Hamiltonian formulations (2000).
Supervisor: Assoc. Prof. Dr. Atalay Karasu.

Özlem Kaya,  MS
Integrable systems of classical mechanics and Lax tensors  (2000).
Supervisor: Assoc. Prof. Dr. Ayşe Karasu.

Muzaffer Adak,  PhD
Non-Riemannian theories of gravitation and the Dirac equation (2001).
Supervisor: Prof. Dr. Tekin Dereli.

Hasan Yıldırım, MS
Use of Lie symmetries in solving nonlinear ordinary differential equations (2001).
Supervisor: Assoc. Prof. Dr. Ayşe Karasu.

Refik Turhan, PhD
Integrable nonautonomous KdV systems (2002).
Supervisor: Assoc. Prof. Dr. Atalay Karasu.

Ömer Ender Erginoğlu, MS
Lorentz group in optical sciences (2002).
Supervisor: Prof. Dr. Sibel Başkal.

Emre Onur Kahya, MS
Some higher dimensional vacuum solutions of Einstein field equations (2002).
Supervisor: Assoc. Prof. Dr. Atalay Karasu.

Haldun  Sevinçli, MS
Tunneling time models and Superluminality (2002).
Supervisor: Assoc. Prof. Dr. Özgür Sarıoğlu.

Tuba Kılıç, MS
Painlevé Integrability Test  (2002).
Supervisor: Assoc. Prof. Dr. Ayşe Karasu.

Hakan Cebeci, PhD
Kerr black holes and their generalizations (2003).
Supervisor: Prof. Dr. Tekin Dereli.

Aybike Özer(Çatal), PhD
Scherk-Schwarz reduction of effective string theories in even dimensions (2003).
Supervisor: Prof. Dr. Tekin Dereli.

Ahmed Abuhatab, MS
Non-abelian gauge theories of the Yang-Mills type (2003).
Supervisor: Prof. Dr. Sibel Başkal.

Çetin Şentürk, MS
Higher dimensional Bell-Szekeres metric (2003).
Supervisor: Prof. Dr. Atalay Karasu.

Hüseyin Dağ, MS
A class of super integrable Korteweg-de Vries systems  (2003).
Supervisor: Prof. Dr. Atalay Karasu.

İsmet Yurduşen, PhD
Prolongation structures, Backlund transformations and Painleve analysis of nonlinear evolution equations  (2004).
Supervisor: Assoc. Prof. Dr. Ayşe Karasu.

Nejat Tevfik Yılmaz, PhD
Dualisation of supergravity theories  (2004).
Supervisor: Prof. Dr. Tekin Dereli

Yamaç Pehlivan, PhD
Matrix quantum mechanics and integrable systems (2004).
Supervisor: Prof. Dr. Tekin Dereli.

Koray Karaca, PhD
A physical model for dimensional reduction and its effects on the observable parameters of the universe (2005).
Supervisor: Prof. Dr. Selçuk Bayın.

Necmi Buğdaycı, PhD
Scalar waves in spacetimes with closed timelike curves (2005).
Supervisor: Prof. Dr. Sibel Başkal.

İbrahim Güllü, MS
Conserved charges in asymptotically AdS spacetimes (2005).
Supervisor: Assoc. Prof. Dr. Bayram Tekin.

Mehmet Kavuk, MS
Gödel Spacetime  (2005).
Supervisor: Assoc. Prof. Dr. Özgür Sarıoğlu.

Efsun Cambaz, MS
Colliding gravitational plane waves : Bell-Szekeres solution  (2005).
Supervisor: Prof. Dr. Atalay Karasu.

Kıvanç Özgören, MS
Gödel's metric and its generalization (2005).
Supervisor: Prof. Dr. Atalay Karasu.

Şener Özönder, MS
Viable higher derivative theories (2007).
Supervisor: Assoc. Prof. Dr. Bayram Tekin.

Ahmet Emre Onuk, MS
Collision of gravitational waves: axi-symmetric pp-waves (2007).
Supervisor: Prof. Dr. Atalay Karasu.

Kadir Can Erbaş, MS
Some properties and conserved quantities of the short pulse equation (2008).
Supervisor: Prof. Dr. Ayşe Karasu.