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Panayotis G. Kevrekidis, Professor |
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| Office | LGRT 1524
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| Phone | (413) 577-1977
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| Fax | (413) 545-1801 |
| Email | kevrekid <at> math.umass.edu |
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| Mailing Address |
| Department of Mathematics and Statistics |
| Lederle Graduate Research Tower |
| University of Massachusetts |
| Amherst, MA 01003-9305 |
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| Education | | Ph.D. | Rutgers University, 2000 |
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| | M.Phil. | Rutgers University, 2000 |
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| | M.S. | Rutgers University, 1998 |
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| | B.Sc. | University of Athens, 1996 |
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| Research Interests: Mathematical Physics; Nonlinear PDEs and DDEs; Dynamical Systems; Mathematical Biology |
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| 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. |
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| Some Recent Preprints from www.arXiv.org |
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| My Scholarworks Website with Recent Publications/Preprints |
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| My Google Scholar Page |
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| A Short Bio page in Wikipedia |
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| Current Teaching: Math 532H, Dynamical Systems with Applications in
Physics, Chemistry and Biology,
Fall 20 |
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| Previous Teaching |
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| Math 532H, Dynamical Systems with Applications in
Physics, Chemistry and Biology,
Fall 18 |
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| Math 697WA, Nonlinear Waves and Applications, Spring 2018 |
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| Math 534H, Introduction to Partial Differential Equations,
Spring 16 |
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| Math 532H, Dynamical Systems with Applications in
Physics, Chemistry and Biology,
Fall 15 |
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| Math 691Y, Applied Math, M.S. Project, Fall 2013 |
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| Math 532H, Dynamical Systems with Applications in
Physics, Chemistry and Biology,
Fall 13 |
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| Math 532, Topics in Ordinary Differential Equations,
Fall 12 |
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| Math 132, Calculus II, Course Chair and Section F
Fall 11 |
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| Math 534, Introduction to Partial Differential Equations
Spring 11 |
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| Math 132, Calculus II, Course Chair and Section F
Fall 10 |
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| Math 534, Introduction to Partial Differential Equations
Spring 10 |
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| Math 532, Topics in Ordinary Differential Equations,
Fall 09 |
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| Math 597-697Y, Nonlinear Dynamical Lattices,
Spring 09 |
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| Math 132, Calculus II, Course Chair and Section E
Fall 08 |
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| Math 534, Introduction to Partial Differential Equations,
Spring 07 |
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| Math 691, Applied Math M.S. Project,
Fall 06-Spring 07 (co-taught with N. Whitaker) |
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| Math 534, Introduction to Partial Differential Equations,
Spring 06 |
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| Math 132, Calculus II, Course Chair and Sections 4-5, Fall 05 |
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| Math 652, Graduate Numerical Analysis, Part II,
Spring 05 |
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| Math 132, Calculus II, Section 2,
Fall 04 |
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| Math 651, Graduate Numerical Analysis,
Part I, Fall 04 |
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| Math 127, Calculus for Business and Life Sciences,
Section 3, Spring 04 |
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| Math 132, Calculus II, Sections 1 and 3,
Fall 03 |
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| Math 132H, Honors Calculus II,
Spring 03 |
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| Math 534, Introduction to Partial Differential Equations,
Spring 03 |
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| Math 132, Fall 02,
Course Chair and Section 7 |
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| Math 132, Calculus II,
Spring 02 |
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| Math 131, Calculus I,
Fall 01 |
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