The main areas that my work combines are Geometry and Global Analysis, Control, Dynamics and Topology (mainly Differential).
My main research project is in the area of Controlled Dynamics. This means that, while I come from a Control Theory and Geometry background, my main interest is in developing a dynamical systems perspective for controlled dynamics, with the aim of studying global controlled dynamics. This perspective was expounded on in series of seminars at Berkeley and Santa Barbara, and is also a book in preparation (Global Controlled Dynamics).
My research interests are also in Dynamical Systems Theory, mainly in Global Bifurcation theory and Topological and Geometric approaches, such as Singularity Theory, Morse theory and theories of topological index (Conley and Morse indices).
I have also worked in the areas of Mathematical Biology (traveling waves, reaction-diffusion equations) and in Stochastic Differential Equations (large deviation theory, through an optimal control approach).
Here is my Google Scholar page.
Publications and Shorter Visits:
Over forty publications in journals and refereed conference proceedings.
Seminars in topics ranging from Chaos theory, Floer homology, Nonlinear Dynamics and Stochastic diffusion processes in a number of Universities and as invited speaker at conferences
Isaac Newton Institute, Programme on Floer homology 1994
Invited Visits to CalTech, UCLA, UCSB 1996
[This older web page gives more details, as well as copies of my papers, until this current page is completed.]
Here is a Brief CV:
Education:
Oxford University 1977-1980, First Class Honours in Engineering Science and Economics
MIT 1980-83, MS in EE
U.C. Berkeley 1983-86: MSc (Mathematics), PhD (EE)
Employment:
Northeastern University, Boston, MA 1987-1989 Assistant Professor
City University, London 1989-1990 Lecturer
University of Sheffield, Department of Applied Mathematics 1991-2004
Aristotle Univ. Thessaloniki, Dept of Mathematics, Faculty of Engineering 2005-2014, School of Mathematics, Faculty of Pure Sciences 2014-now
Academic Visits:
Oxford University (collaboration with Prof. Maini’s group) 1992
U.C. Berkeley (Visiting Scholar) 1995-96
U.C. Santa Barbara (Visiting Associate Professor) 1996-97
Yasar University, Izmir, Academic Year 2013-2014