Faculty and Staff

Teaching Faculty

Horikis Theodoros Assistant Professor of the Applied Mathematics and Engineering Research Section of University of Ioannina
Office: Mathematic Building, 3rd floor, Office 313e. Phone: +30 26510 08268 Email: horikis@uoi.gr Personal Website: http://users.uoi.gr/horikis
Education
Undergraduate Studies : Department of Physics, University of Crete. Postgraduate Studies : Department of Mathematics, Imperial College, London
Scientific Interests
General interests: Applied mathematics and mathematical modeling. Particular interests: Nonlinear Waves/Optics, Nonlinear Evolution Equations, Integrable systems.
Publications
1. T. P. Horikis, J. N. Elgin, Nonlinear optics in a birefringent optical fiber, Phys. Rev. E 69, 016603, 2004. 2. T. P. Horikis, M. S. McCallum, Self-Fourier functions and self-Fourier operators, J. Opt. Soc. Am. A 23, 829-834, 2006. 3. T. P. Horikis, W. L. Kath, Modal analysis of circular Bragg fibers with arbitrary index profiles, Opt. Lett. 31, 3417-3419, 2006. 4. M. J. Ablowitz, T. P. Horikis, Pulse dynamics and solitons in mode-locked lasers, Phys. Rev. A (Rapid Communication) 78, 011802, 2008. 5. T. P. Horikis, The short-pulse equation and associated constraints, J. Phys. A: Math. Theor. 42, 442004, 2009. 6. S. P. Cockburn, H. E. Nistazakis, T. P. Horikis, P. G. Kevrekidis, N. P. Proukakis, D. J. Frantzeskakis, Matter-wave dark solitons: Stochastic versus analytical results, Phys. Rev. Lett. 104, 174101, 2010. 7. M. J. Ablowitz, T. P. Horikis, Solitons in normally dispersive mode-locked lasers, Phys. Rev. A 79, 063845, 2009. 8. M. J. Ablowitz, T. P. Horikis, S. D. Nixon, D. J. Frantzeskakis, Dark solitons in mode-locked lasers, Opt. Lett. 36, 793-795, 2011. 9. T. P. Horikis, Analysis of optical waveguides with arbitrary index profile using an immersed interface method, Int. J. Mod. Phys. C (accepted). 10. M. J. Ablowitz, S. D. Nixon, T. P. Horikis, D. J. Frantzeskakis, Perturbations of dark solitons, Proc. R. Soc. London A (to appear).
Taught Courses 2012 - 2013
Undergraduate Courses 211 - Advanced Calcurus II 646 - Techniques of Mathematical Modeling Postgraduate Courses ΕΜΜ3 - Partial Differential Equations ΕΜΜ7 - Special Topics in Mechanics ΕΜΜ9 - Numerical Solution of Partial Differential Equations Other Departments Courses Differential and Integral Calculus (Department of Physics)