Overview
Fields of work: Pure and applied mathematics, physics and biology. Specific areas: Differential equations, integrable systems, acoustic and electromagnetic scattering (especially transmission anomalies and resonances), photonic crystals, exciton polaritons and micromagnetics.
Invited as one of the three Abel lecturers in the award of the Abel Prize to Peter Lax, The Norwegian Academy of Science and Letters, Oslo, Norway, May 2005
http://www.abelprize.no/c57575/seksjon/vis.html?tid=58729Current Appointments & Affiliations
Professor of Mathematics
·
1991 - Present
Mathematics,
Trinity College of Arts & Sciences
Recent Publications
Chiral skyrmions of large radius
Journal Article Physica D Nonlinear Phenomena · April 1, 2021 Featured Publication We study the structure of an axially symmetric magnetic skyrmion in a ferromagnet with the Dzyaloshinskii–Moriya interaction. We examine the regime of large skyrmions and we identify rigorously the critical value of the dimensionless parameter at which the ... Full text Open Access CiteThe profile of chiral skyrmions of small radius
Journal Article Nonlinearity · July 1, 2020 Chiral skyrmions are stable particle-like solutions of the Landau-Lifshitz equation for ferromagnets with the Dzyaloshinskii-Moriya (DM) interaction, characterized by a topological number. We study the profile of an axially symmetric skyrmion and give exac ... Full text CiteTraveling domain walls in chiral ferromagnets
Journal Article Nonlinearity · May 30, 2019 We show that chiral symmetry breaking enables traveling domain wall solution for the conservative Landau-Lifshitz equation of a uniaxial ferromagnet with Dzyaloshinskii-Moriya interaction. In contrast to related domain wall models including stray-field bas ... Full text CiteRecent Grants
Wave-breaking and Resonant Phenomena
ResearchPrincipal Investigator · Awarded by National Science Foundation · 2012 - 2018Wave-breaking and Resonant Phenomena
ResearchPrincipal Investigator · Awarded by National Science Foundation · 2007 - 2014Nonlinear Waves in Uniform and Periodic Media
ResearchPrincipal Investigator · Awarded by National Science Foundation · 2002 - 2008View All Grants
Education, Training & Certifications
New York University ·
1982
Ph.D.
Georgia Institute of Technology ·
1979
M.S.
National Technical University of Athens (Greece) ·
1969
B.S.