Panayotis G. Kevrekidis, Professor
Office LGRT 1524
Phone (413) 577-1977
Fax (413) 545-1801
Email kevrekid <at> math.umass.edu
Mailing Address
Department of Mathematics and Statistics
Lederle Graduate Research Tower
University of Massachusetts
Amherst, MA 01003-9305
Education  
Ph.D. Rutgers University, 2000
M.Phil. Rutgers University, 2000
M.S. Rutgers University, 1998
B.Sc. University of Athens, 1996
Research Interests: Mathematical Physics; Nonlinear PDEs and DDEs; Dynamical Systems; Mathematical Biology
Professor Kevrekidis studies a variety of systems chiefly stemming from the mathematical physics of optical systems (waveguide arrays and optical fibers), as well as from the soft-condensed matter setting of Bose-Einstein Condensates. The research mainly revolves around the existence, stability and dynamics of localized (solitary wave) structures in such one-, two- and three-dimensional setups, often described by equations of Nonlinear Schrodinger or Klein-Gordon type. While the settings under study are principally Hamiltonian in nature (often featuring external potentials, or being genuinely discrete and posed on, so-called, dynamical lattices), occasionally dissipative perturbations thereof are also considered. Besides this main thrust of research Professor Kevrekidis also maintains a wide variety of additional interests including mathematical biology [especially tumor angionesis, nephron dynamics and DNA models], simple cosmological models, the nucleation of liquid droplets in the atmosphere, gelation and related phase transition phenomena in polymers, aerosol dynamics in the atmosphere and in the human body [inhalation and desposition of particles in the respiratory tract], catalytic chemistry and reaction-diffusion models, and dynamics and energy landscapes of glassy materials among others.
Some Recent Preprints from www.arXiv.org
My Scholarworks Website with Recent Publications/Preprints
My Google Scholar Page
A Short Bio page in Wikipedia
Recent Teaching: Math 534H, Spring 2016
Previous Teaching
Math 532H, Dynamical Systems with Applications in Physics, Chemistry and Biology, Fall 15
Math 691Y, Applied Math, M.S. Project, Fall 2013
Math 532H, Dynamical Systems with Applications in Physics, Chemistry and Biology, Fall 13
Math 532, Topics in Ordinary Differential Equations, Fall 12
Math 132, Calculus II, Course Chair and Section F Fall 11
Math 534, Introduction to Partial Differential Equations Spring 11
Math 132, Calculus II, Course Chair and Section F Fall 10
Math 534, Introduction to Partial Differential Equations Spring 10
Math 532, Topics in Ordinary Differential Equations, Fall 09
Math 597-697Y, Nonlinear Dynamical Lattices, Spring 09
Math 132, Calculus II, Course Chair and Section E Fall 08
Math 534, Introduction to Partial Differential Equations, Spring 07
Math 691, Applied Math M.S. Project, Fall 06-Spring 07 (co-taught with N. Whitaker)
Math 534, Introduction to Partial Differential Equations, Spring 06
Math 132, Calculus II, Course Chair and Sections 4-5, Fall 05
Math 652, Graduate Numerical Analysis, Part II, Spring 05
Math 132, Calculus II, Section 2, Fall 04
Math 651, Graduate Numerical Analysis, Part I, Fall 04
Math 127, Calculus for Business and Life Sciences, Section 3, Spring 04
Math 132, Calculus II, Sections 1 and 3, Fall 03
Math 132H, Honors Calculus II, Spring 03
Math 534, Introduction to Partial Differential Equations, Spring 03
Math 132, Fall 02, Course Chair and Section 7
Math 132, Calculus II, Spring 02
Math 131, Calculus I, Fall 01