Gregor Kovacic

About

Gregor Kovačič received batchelor's degrees in Physics and Mathematics from the University of Ljubljana, Slovenia, and a Ph.D. in Applied Mathematics from California Institute of Technology.  He was a Postdoctoral Fellow at the Los Alamos National Laboratory before joining the Mathematical Sciences Faculty at Rensselaer.  Gregor is the recipient of a Prešeren's Student Prize in Slovenia, a Director's Funded Postdoctoral Fellowship at Los Alamos, an NSF Career Award, and a Sloan Research Fellowship.

Gregor's research began in low-dimensional dynamical systems, in particular, in singular perturbation theory of systems with internal resonances.   His current research interests include studies of nonlinear evolution equations and their scientific applications, particularly in dispersive waves, optics, and neuroscience. Recently, he has been exploring dynamics and statistics of dispersive wave-like and completely integrable partial differential equations and their applications to nonlinear resonant optics, light propagation through “metamaterials” with exotic properties of the refractive index, and the modeling of and dynamics in neuronal networks. 

Education & Training

Research

Other Focus Areas

Matematical neuroscience, wave dynamics, integrable systems, nonlinear resonant optics, optics of metamaterials

Publications

The following is a selection of recent publications in Scopus. Gregor Kovacic has 67 indexed publications in the subjects of Physics and Astronomy, Mathematics, and Neuroscience.

J. W. Banks, T. Buckmaster, A. O. Korotkevich, G. Kovačič, J. Shatah
Physical Review Letters
, 129
, 2022
.
Qing Xia, Jeffrey W. Banks, William D. Henshaw, Alexander V. Kildishev, Gregor Kovačič, Ludmila J. Prokopeva, Donald W. Schwendeman
Journal of Computational Physics
, 456
, 2022
.
Katelyn Plaisier Leisman, Douglas Zhou, J. W. Banks, Gregor Kovačič, David Cai
Physical Review Research
, 4
, 2022
.
Qing Xia, Jeffrey W. Banks, William D. Henshaw, Alexander V. Kildishev, Gregor Kovacic, Ludmila J. Prokopeva, Donald W. Schwendeman
2021 International Applied Computational Electromagnetics Society Symposium, ACES 2021
, 2021
.
Pamela B. Pyzza, Katherine A. Newhall, Gregor Kovačič, Douglas Zhou, David Cai
Cognitive Neurodynamics
, 15
, 2021
, pp.103-129
.
Jeffrey W. Banks, Benjamin B. Buckner, William D. Henshaw, Alexander V. Kildishev, Gregor Kovacic, Ludmila J. Prokopeva, Donald W. Schwendeman
2020 International Applied Computational Electromagnetics Society Symposium, ACES-Monterey 2020
, 2020
.
Shaimaa I. Azzam, Ludmila J. Prokopeva, Qing Xia, Gregor Kovacic, William D. Henshaw, Alexander V. Kildishev
2020 International Applied Computational Electromagnetics Society Symposium, ACES-Monterey 2020
, 2020
.
Jennifer Crodelle, Douglas Zhou, Gregor Kovačič, David Cai
Journal of Computational Neuroscience
, 48
, 2020
, pp.387-407
.
Katherine A. Newhall, Gregor Kovačič, Ildar Gabitov
Discrete and Continuous Dynamical Systems - Series S
, 13
, 2020
, pp.2285-2301
.
Jeffrey W. Banks, Benjamin B. Buckner, William D. Henshaw, Michael J. Jenkinson, Alexander V. Kildishev, Gregor Kovačič, Ludmila J. Prokopeva, Donald W. Schwendeman
Journal of Computational Physics
, 412
, 2020
.

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