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Richard Kollár    


Post-doctoral Assistant Professor

 

 

 


Research interests         Upcoming conferences, links

·       Nonlinear waves and their stability, Evans function

·       Nonlinear partial differential equations

·       Applied dynamical systems in engineering and biology

Education and work experience      CV

·       Postdoc Assistant Professor, University of Michigan, 2005 - present, mentor: P. Miller

·       Postdoc fellow, IMA University of Minnesota, 2004 - 2005, mentor: A. Scheel

·       PhD. in Mathematics, University of Maryland, 1999 - 2004, advisor: R.L. Pego

·       Mgr. in Mathematics, Comenius University, 1992 - 1997, advisor: M. Feckan

Recent papers and preprints      

·       Coherent structures generated by inhomogeneities in oscillatory media (with Arnd Scheel) preprint.

·       Linear stability of vortices in two-dimensional Bose-Einstein condensates via the Evans function using Krein signature (with Robert L. Pego), preprint.

·       On non-existence of vortex solutions to Landau-Lifshitz magnetization equation, submitted to Trans. AMS.

·       Slow damping of internal waves in a stably stratified fluid (with K.F.Gurski and R.L. Pego), Proc. Royal Soc. London A, 460 (2004), 2044, 977--994.

·       Existence and stability of vortex solutions of certain nonlinear Schrodinger equations, PhD thesis, University of Maryland, 2004.

Teaching

·       Fall 2007, Intermediate (Applied) Differential Equations, Math 404

·       Fall 2006, Winter 2007, Fall 2007, BV Problems for Partial Differential Equations, Math 454

·       Winter 2006, Fall 2006, Winter 2007, Problem Solving, Math 289

·       Winter 2006, Principles of Analysis, Math 351

·       Fall 2005, Calculus I, Math 115

Interests and hobbies        More

·       Ultimate frisbee, long distance running, hiking, music and movies, mathematical competitions for high school students

 

 

 

 



 

Department of Mathematics

  1859 East Hall, 530 Church Street
Ann Arbor, MI 48109-1043 

Phone: 734.647-5368, Fax: 734.763-0937
 Email: kollar ...at... umich ... dot .. edu

The page last modified Tuesday, 31-Aug-2007

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