Richard Kollár

IMA Postdoctoral Fellow 2004-2005

Education

• Ph.D., Mathematics, University of Maryland, 2004.
  Existence and stability of vortex solutions of certain nonlinear
  Schrödinger equations (advisor Robert L. Pego).
  
  
• Mgr., Mathematics, Comenius University, 1997.
  Discontinuous wave equations and a topological degree for some class of multi-valued mappings (advisor Michal Fečkan).

Research Interests

• Nonlinear waves and their stability. The Evans function: extention to high dimentsional systems, singular behavior, Krein signature (joint projects with A. Scheel, R. L. Pego, B. Sandstede, D.Pelinovsky) 
• Nonlinear partial differential equations
  
• Dynamical systems
  

Papers and Preprints

• On Non-existence of Vortex Solutions to the Landau-Lifshitz Magnetization Equation,
  submitted, 2003.
  
• Existence and Stability of Vortex Solutions of Certain
  Nonlinear Schrödinger Equations,
  University of Maryland Dissertation Thesis, 2004.
• Slow damping of internal waves in a stably stratified fluid
  (with R. Pego and K. Gurski) Proc. Roy. Soc. London A, Vol. 460, No. 2044, pp. 977-994, 2004.
  
• Discontinuous wave equations and a topological degree for some class of multi-valued mappings (with M.Fečkan)
  Appl. Math. Vol. 44, No. 1, pp. 15-32, 1999.

Interests and Hobbies

• Ultimate frisbee
• Marathon and long distance running
  
• Mathematical competitions for high school students
  
• Music and movies

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