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