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MATHEMATICAL PHYSICS
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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.
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