Curriculum Vitae

BASIC INFORMATION

Professor Doctor, Department of Mathematics, Faculty of Science, Izmir Institute of Technology, Gülbahçe Campus, Urla-Izmir, 35430 Turkey

Tel: +90 (232) 7507752; Fax: +90 (232) 7507777 E-mail: oktaypashaevATiyte.edu.tr

EDUCATION

1979-1983 Joint Institute for Nuclear Research, Dubna (Moscow), USSR.

1974-1978 Lomonosov Moscow State University, Moscow, USSR.

1971-1974 Baku State University, Baku, Azerbaijan, USSR.

DEGREES

Ph.D. - 1983, Theoretical and Mathematical Physics

M.Sc. - 1978, (Diploma) Physics

Ph.D. Thesis: "Nonlinear Evolution Equations and Dynamics of Quasispin Systems". Committee: V. G. Makhankov (Supervisor), A. M. Perelomov, V. K. Fedyanin

Master's Thesis: "Boson-Fermion Instantons in Quantum Field Theory". Committee: V. Ja. Fainberg (Supervisor), I. M. Lifshitz, I. M. Kaganov, V. Grigoriev

RESEARCH EXPERIENCE

Visiting Professor: 1995 (1 mo.) International School for Advanced Studies (SISSA/ISAS) Trieste, Italy 1995 (1 mo.) International Centre for Theoretical Physics, Trieste, Italy 1990 - 1997 (3 mo. every year) Dipartimento di Fisica, Universita degli Studi di Lecce, Italy 1993 (1 mo.) Dept. de Mathematiques, Universite Paris-Sud (Orsay), France 1993 (1 mo.) Dept. de Physiques, Universite de Nice, France 1993, 1996, 2004, 2005, 2006, 2007, (1 mo.), 2008 (3.5 month), 2009 (2 mo.), 2010 (1 mo.); 2015, 2016, 2018- (1m), 1997-2000 Institute of Mathematics, Academia Sinica, Taipei, Taiwan 1993 (1 mo.) Dept. of Mathematics, Bilkent University, Ankara, Turkey 1994 Department of Mathematics, Institute for Basic Sciences, Marmara Research Center, TUBITAK, Turkey

Senior Research Scientist: 1990-2001, Joint Institute for Nuclear Research, Dubna (Moscow), Russia

Post-Doctoral work: 1983-1990 Joint Institute for Nuclear Research, Dubna (Moscow), USSR

Post-graduate work: 1978-1979 I. E. Tamm Theoretical Physics Department, Lebedev Physical Institute, Moscow, USSR

TEACHING EXPERIENCE

Lectures and Seminars:

Professor Doctor: Department of Mathematics, Faculty of Science, Izmir Institute of Technology, Izmir, Turkey, (from June 2000 – till present) (Undergraduate courses - Differential Equations, Calculus I, II, Basic Mathematics, Advanced Mathematics, Vector Analysis, Dynamical Systems, Partial Differential Equations, Differential Geometry, History of Mathematical Concepts, Complex Analysis, Mathematics and Technology) (Graduate courses - Modern Geometry I, II; Mathematical Methods of Classical Mechanics I, II; Complex Analysis, Mathematical Methods of Physics; Introduction to Soliton Theory, Quantum Calculus, Mathematical Methods of Quantum Mechanics, Hilbert Spaces and Quantum Theory, Basic Quantum Computation and Quantum Information)

Seminars: Dipartimento di Fisica Universita degli Studi di Roma "La Sapienza"; Department of Physics, Universita di Firenza; Department of Physics, Universita di Torino; Department of Physics, Universita di Bari, Department of Physics, Universita di Parma, Department of Physics, Universita di Lecce, Department of Physics, Universita di Salerno; International School for Advanced Studies - SISSA (Trieste), Italy.Institute of Mathematics, Academia Sinica, Taipei; Dept. of Mathematics, Tainan; Department of Mathematics, Hsinchu University; Department of Mathematics and Department of Physics, Taichung University; Department of Mathematics, Kaoshiung Normal University, Department of Mathematics, Kaoshiung SunYat Sen University, Department of Mathematics, Taitung University, Dept. of Math. National Taiwan University (Taipei) (1 semester course on Soliton Theory and Applications), Center for Theoretical Studies, Hsinchu, - Taiwan.Dept. de Mathematiques Universite Paris-Sud (Orsay); Dept. de Physiques Universite de Nice, - France. Department of Mathematics, Bilkent University, Ankara; Department of Mathematics, Istanbul Technical University,- Turkey. National University of Singapore, - Singapore

Associated Professor: Volga Military Constructions University, Dubna, (Moscow), USSR, 1984-1985.

Graduate/Postgraduate students guided: 17 M.Sc. and 5 Ph.D. in Mathematical Physics.

Master Students: 1) Igor Barashenkov, JINR, Dubna, USSR (Professor, South Africs) 2) Fatih Erman, Solitonic Solutions and Particle Localization in Higher Dimensional Spaces, IYTE, 2003. (Associated Professor, Turkey) 3) Meltem Leman Yerbag Francisco, Stationary and 2+1 Dimensional Integrable Reductions of AKNS Hierarchy, IYTE, 2004. 4) Figen Akıncı, Geometry of Moving Curves and Soliton Equations, IYTE, 2004. 5) Zeynep Nilhan GURKAN, Integrable Vortex Dynamics and Complex Burgers’ Equation, IYTE, 2005. 6) Neslihan ETİ, Classical and Quantum Euler Equation, IYTE, 2007 7) Esra TIĞRAK ULAŞ, Damping Oscillatory Models in General Theory of Relativity, IYTE, 2007 (Assistant Professor, New York University, Abu Dabi) 8) Baris Ates, Nonlinear Euler Poisson Darboux Equations Exactly Solvable in Multidimensions, IYTE, 2008 9) Asli Sabanci, Collider Tests of Higher Curvature Gravity, IYTE, 2008 (coadv.) 10) Alper Hayreter, Collider Tests of String –Inspired Models with Extra Abelian-Symmetry, IYTE, 2008 (coadv.) 11) Selin Duruk, Resonance Solitons and Direct Methods in Soliton Theory, IYTE, 2009 (PhD student, Israel) 12) Tuna Bayraktar, Geometry of Curves in n-dimensional Riemannian Space. Akdeniz Univ.2011. 13) Şengül Nalcı, Exactly Solvable q-extended Nonlinear Classical and Quantum Models. IYTE. 2011. (PhD student, Turkey) 14) Soner Erkuş, q Periodicity, Self-Similarity and Weirestrass-Mandelbrot Function, IYTE, 2012 15) Aygul Kocak, Kaleidoscope of Quantum Coherent States and units of Quantum Information, IYTE, 2018 16) Tugce Parlakgorur, Apollonius Representation and Complex Geometry of Entangled Qubit States, IYTE, 2018 17) Merve Ozvatan, Generalized Golden-Fibonacci Calculus and Applications, IYTE, 2018 18) Osman Cetintas, Dynamical Symmetry of Parametric Oscillator, IYTE, 2019

PhD Students: 1) Ratbay Myrzakulov, JINR, Dubna, USSR (Professor, Kazakistan)2) Kholmirzo Kholmurodov, JINR, Dubna, USSR (Professor, Russian Federation) 3) Sergey Sergeenkov, JINR, Dubna, USSR (Professor, Brazil) 4) Zeynep Nilhan GURKAN, Entanglement and Topological Soliton Structures in Heisenberg Spin Models, IYTE, 2010. (Associated Professor, Kuwait) 5) Şengül Nalcı Tumer, Quantum Calculus of Classical Heat-Burgers Hierarchy and Quantum Coherent States. IYTE. 2017. 6) Aygül Koçak, Quantum Group Symmetry for Quantum Coherent States (continuing)


PUBLICATIONS - totally more than 100 papers (see Publications). :

Books (Authored or Edited) - 10, Research papers in refereed journals and Published talks at International Conferences - 117, Reports - 25, Popular Articles – 5, Lecture Notes - 4; Reviews for AMS Mathematical Reviews – more 183

TALKS – totally 88 - Invited talks on National and International Conferences, Sectional talks and Seminars (see Conferences).

CURRENT RESEARCH INTERESTS

  • Integrable Systems and Solitons, Nonlinear Partial Differential Equations, Dynamics of Multidimensional and Topological Solitons. Resonant Soliton Dynamics.
  • Topological and Chern-Simons gauge field theories, applications to the Quantum Physics, Black Holes and Gravity Theory. Non-commutative Integrable Systems. Integrable Vortex Dynamics. Quantum Potential and Nonlinear Dynamics.
  • Quantum Computations and Quantum Information, q-Calculus and applications.

PROJECTS

Director:

  • 2005 IYTE BAP 13 Applications of Isospectral Problems to Nonlinear Resonance Phenomena 2005-2007
  • 2008-2010 IYTE BAP 32 Kuantum Teorisinde Sacilmali Parametrik Oscilatorun Sifir ve Tekil Noktalarinin Dinamiklari,
  • 2017 TUBITAK 116F206 General Dispersive Nonlinear Integrable Systems and Dynamical Quantum Symmetries, 2017-2019

Researcher:

  • 2002-2014 IYTE BAP 24 Analytical and Numerical Methods with applications to High Energy Physics and General Relativity
  • TUBITAK 106T447 Nonlinear Vortex- Cylinder Interaction Models in Hydrodynamics 2007-2008
  • 2008-2010 IYTE BAP 25 Direct Methods and Surface Geometry in Soliton Theory
  • TUBITAK TBAG 110T679 Completely Integrable q-Diffferential and Variable Parameter Infinte Burgers Hierarchy Models 2011-2013

PROFESSIONAL ACTIVITIES

Organizer and Scientific Secretary:

  1. The First All-Union Workshop "Solitons and Applications", Dubna, USSR (1985),
  2. The Second All-Union Workshop "Solitons and Applications", Yurmala, Latvia, USSR (1986),
  3. The Third All-Union Workshop "Solitons and Applications", Pushchino USSR (1987),

(Org. Committee: S. P. Novikov, V. E. Zakharov, V. G. Makhankov)

4. The Fourth International Workshop "Solitons and Applications" dedicated to N. N. Bogolubov on his eightieth birthday, Dubna, USSR, 1989.

5. The Sixth International Workshops on Nonlinear Evolution Equations and Dynamical Systems. NEEDS' 90, Dubna, Russia, 1990

6. The Eighth International Workshops on Nonlinear Evolution Equations and Dynamical Systems. NEEDS' 92, Dubna, Russia, 1992

(Org. Committee: F. Calogero, S. P. Novikov, V. G. Makhankov).

7. Nonlinear Guided Waves V, International Workshop, Feza Gursey Institute, Istanbul, Turkey, 2011.

8. Quantum Calculus and Applications (QCA), Mini Workshop, 23 December 2016, IYTE, Izmir, Turkey

Section Organizer and Member of Scientific Committee:

  1. 3rd Conference on Nonlinear Science and Complexity, Cankaya University, Ankara, Turkey, 2010 (Section: Exactly Solvable Nonlinear Models and Applications
  2. International Conference on Quantum Science and Applications 25-27 May 2016, Eskisehir, Turke
  3. Workshop on Nonlinear Partial Differential Equations in Applied Mathematics, 26-28 August, 2016, Izmir, Turkey
  4. WDEA 2017, The 8th International Workshop on Differential Equations and Applications, June 02-04, 2017, Dokuz Eylül University, Izmir, Turkey
  5. Izmir Mathematical Days 2018, June 26-27, 2018, Yasar University, Izmir, Turke
  6. Izmir Mathematical Days II 2019, September 12-13, 2019, Dokuz Eylül University, Izmir, Turkey

Invited Editor:

1. "Solitons and Applications", World Sci. Pub., 1990.

2. "Nonlinear Evolution Equations and Dynamical Systems. NEEDS' 90", Springer Verlag, 1991

3. "Nonlinear Evolution Equations and Dynamical Systems. NEEDS' 92", World Sci. Pub., 1993.

Associated Editor:

  • Physica Scripta, Royal Swedish Academy of Sciences, IOP Journal, 2013-
  • Mugla Journal of Science and Technology (MJST)

Reviewer

  • ''VINITY" Scientific Reviews of Russian Academy of Science.
  • ''Mathematical Reviews" of American Mathematical Society.

Member

  • American Mathematical Society.

Referee of Journals:

  • Journal of Computational Mathematics and Mathematical Physics (Zhurnal Vichisl. Mat. i Mat. Fiziki), Moscow, Russia.
  • Bulletin Institute of Mathematics, Academia Sinica, Taipei, Taiwan.
  • International Journal of Modern Physics B, World Scientific, Singapore
  • Journal of Nonlinear Mathematical Physics, Netherlands
  • Contemporary Mathematics, AMS
  • International Journal of Computer Mathematics, Taylor & Francis
  • Symmetry, Integrability and Geometry: Methods and Applications, SIGMA, Kiev
  • Mathematical Physics, Analysis and Geometry, Springer
  • Physics Letters A, North Holland
  • Journal of Mathematical Analysis and Applications
  • Physica Scripta (Royal Swedish Academy of Sciences)
  • Nonlinear Analysis Series B: Real World Applications
  • Progress in Theoretical and Experimental Physics (Physical Society of Japan)
  • The European Physical Journal Plus
  • Süleyman Demirel Üniversitesi Fen Bilimleri Enstitüsü Dergisi
  • Int. J. of Geometric Methods in Modern Physics (IJGMMP)
  • Journal of Mathematical Physics
  • Acta Mechanica
  • Journal of Nonlinear Sciences and Applications
  • Chaos, Solitons and Fractals
  • Demonstratio Mathematica
  • Turkish Journal of Physics

Young Scientists Research Award - JINR, Dubna, 1983.

Italian Government MURST and INFN Grants, between 1990 - 1997.

French Government CNRS Grant, 1993.

Listed in the Marquis Who'sWho in Science and Engineering, the 7th Edition, 2003-2004; The 8th Edition, 2005-2006; 10th Anniversary Edition 2008-2009

LANGUAGES

Russian and Azeri-Turkish (native), English and Turkish (reading, writing and speaking fluently), German and Italian (reading).