Personal Info



Associate Professor
Department of Applied Mathematics and Statistics
Faculty of Mathematics, Physics, and Informatics
Comenius University
Mlynská dolina
842 48 Bratislava
SLOVAKIA


office: M 234
phone: +421 2 602 95 713
fax: + 421 2 654 25 882
email: kollar...at...fmph.uniba.sk
 
 

Teaching


Summer 2019: Partial Differential Equations II
Summer 2019: Mathematics for Biologists

Recent Papers (Google Scholar, Research Gate)
  • Direct Characterization of Spectral Stability of Small Amplitude Periodic Waves in Scalar Hasmiltonian Problems via Dispersion Relation (2019), with Bernard Deconinck and Olga Trichtchenko, to appear in SIAM J. on Math Analysis (2019), arXiv.
  • Stability of Periodic Traveling Wave Solutions to the Kawahara Equation (2018), with Bernard Deconinck and Olga Trichtchenko), SIAM Journal on Applied Dynamical Systems 17 (4), 2761-2783.
  • Existence of Traveling Waves for the Generalized F–KPP Equation (2017), with Sebastian Novak, Bulletin of mathematical biology 79 (3), 525-559.
  • Spatial Gene Frequency Waves Under Genotype-Dependent Dispersal (2017), with Sebastian Novak, Genetics 205, 1-9.
  • Extension and justification of quasi-steady-state approximation for reversible bimolecular binding (2015), with Katarína Šišková, Bulletin of mathematical biology 77 (7), 1401-1436.
  • Mathematical model of alternative mechanism of telomere length maintenance (with Katarína Boďová, Jozef Nosek, and Ľubomír Tomáška), Physical Review E 89 (2014), 032701. arxiv. 
  • Graphical Krein Signature Theory and Evans-Krein Functions (with Peter D. Miller). SIAM Rev. 56-1 (2014), pp. 73-123, arxiv.
  • Index Theorems for Polynomial Pencils (with Radomír Bosák). In Nonlinear Physical Systems. Spectral Analysis, Stability and Bifurcations, O. N. Kirillov and D. E. Pelinovsky eds., ISTE, London, pp. 177-202 (2014), arxiv.
Recent Conferences and Talks
  • The 11th IMACS International Conference, Nonlinear Evolution Equations and Wave Phenomena, Athens, GA, USA, April 17-19, 2019
  • Trojsten Academy, Bratislava, Slovakia, December 7, 2018
  • Vedatour (Popular Public Lecture), Bratislava, Slovakia, October 25, 2018
  • Analysis and PDE Seminar, Michigan State University, Lansing, MI, USA, September 19, 2018
  • DNA Days (Popular Public Lecture), KC Dunaj, Bratislava, Slovakia, April 23, 2018
  • Erwin Schrodinger Institute, Nonlinear Water Waves - an Interdisciplinary Interface Workshop, December 2017
  • The 10th IMACS International Conference, Nonlinear Evolution Equations and Wave Phenomena, Athens, GA, USA, March 2017
  • Analysis Seminar, Masarykova Univerzita, Brno, Czech Republic, October 17, 2016
  • SIAM Conference on Nonlinear Waves and Coherent Structures, Cambridge, UK, August 11-14, 2014
  • AIMS Conference on Dynamical Systems, Diff. Eqs. and Appl., Madrid, Spain, July 7-11, 2014
  • How Biology Brings New Problems to Mathematics, Physics, and Informatics, Plenary talk at the Student Scientific Conference, comenius University, Bratislava, SK, April 23, 2014 
  • Applied and Interdisciplinary Mathematics seminar, U Michigan, Ann Arbor, USA, November 22, 2013
  • Workshop Numerical analysis of equivariant evolution equations,  Bielefeld, Germany, June 19, 2013
  • SIAM Conference on Dynamical Systems, Snowbird, UT, USA, May 19-23, 2013
  • Analysis Seminar, University of Missouri, Columbia, MO, USA, November 15, 2012
Recent Grants
  • VEGA 1/0755/19 (PI), Scientific Grant Agency of the Slovak Republic
  • APVV-18- (Member), Slovak Research and Development Agency
  • APVV-14-0378 (Member), Slovak Research and Development Agency
  • VEGA 1/0459/13 (PI), Scientific Grant Agency of the Slovak Republic