Name and surname:
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doc. Mgr. Richard Kollár, PhD.
|
Document type:
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Research/art/teacher profile of a person
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The name of the university:
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Comenius University Bratislava
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The seat of the university:
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Šafárikovo námestie 6, 818 06 Bratislava
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III.a - Occupation-position | III.b - Institution | III.c - Duration |
---|---|---|
Postdoctoral Fellow | Institute for Mathematics and its applications, University of Minnesota, Minneapolis, MN, USA | 2004-2005 |
Postdoctoral Assistant Professor | Department of Mathematics, University of Michigan, Ann Arbor, MI, USA | 2005-2009 |
Assistant Professor | Comenius University in Bratislava, Faculty of Mathematics, Physics and Informatics | 2009-2014 |
Associated Professor | Comenius University in Bratislava, Faculty of Mathematics, Physics and Informatics | 2014-present |
IV.a - Activity description, course name, other | IV.b - Name of the institution | IV.c - Year |
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Pedagogical Approbation | Comenius University in Bratislava, Faculty of Mathematics, Physics and Informatics | 1997 |
V.1.a - Name of the profile course | V.1.b - Study programme | V.1.c - Degree | V.1.d - Field of study |
---|---|---|---|
Mathematical Analysis (1) | Data Science | I | Mathematics |
Mathematical Analysis (2) | Data Science | I | Mathematics |
Mathematics for biologists | Biology | I | Biology |
Partial Differential Equations (2) | Mathematics | II | Mathematics |
Biomathematics | Applied Mathematics | III | Mathematics |
V.2.a - Name of the study programme | V.2.b - Degree | V.2.c - Field of study |
---|---|---|
Biophysics | III | Physics |
Kollár R, Miller PD, 2014, Graphical Krein signature theory and Evans-Krein functions, SIAM Review 56, no. 1, 73-123
Kollár R, Pego RL, 2012, Spectral stability of vortices in two-dimensional Bose Einstein condensates via the Evans function and Krein signature, Applied Mathematics Research eXpress 1 (2012), 1-46
Kollár R, 2011. Homotopy method for nonlinear eigenvalue pencils with applications, SIAM Journal on Mathematical Analysis 43, No. 2, 612-633
Kollár R, Boďová K, Nosek J, Tomáška L, 2014, Mathematical model of alternative mechanism of telomere length maintenance, Physical Review E - Statistical, Nonlinear and Soft Matter Physics 89, No. 3, 032701
Trichtchenko O, Deconinck B, Kollár R, 2018, Stability of periodic traveling wave solutions to the Kawahara equation, SIAM Journal on Applied Dynamical Systems 17, no. 4, 2761-2783
Kollár R., Deconinck B., Trichtchenko O., 2019, Direct characterization of spectral stability of small-amplitude periodic waves in scalar Hamiltonian problems via dispersion relation, SIAM Journal on Mathematical Analysis 51 (4), 3145-3169
Boďová K, Kollár R, 2021, Spatial scales, patterns, and positivity trends of SARS-CoV-2 pandemics in mass rapid antigen testing in Slovakia, PLoS One 16, no. 8, e0256669
Boďová K, Kollár R, 2020, Emerging algebraic growth trends in SARS-CoV-2 pandemic data, Physical Biology 17, no. 6, 065012
Bod’ová K., Kollár R., Miglierini M., 2022, Role of noise in human walking in the absence of orientational cues, Physica D: Nonlinear Phenomena 442, 133535
Kollár R., 2024, Incomplete Finite Binomial Sums of Harmonic Numbers, Journal of Integer Sequences 27 (2), 3
Publication: Kollár R, 2011. Homotopy method for nonlinear eigenvalue pencils with applications, SIAM Journal on Mathematical Analysis 43, No. 2, 612-633.
Citation: Pelinovsky, DE, 2014, Spectral stability of nonlinear waves in KdV-type evolution equations. In: Nonlinear Physical Systems. London ; Hoboken : ISTE ; John Wiley & Sons, 2014, 377-400 - SCOPUS
Publication: Gurski KF, Kollár R, Pego RL, Slow damping of internal waves in a stably stratified fluid, Proceedings of the Royal Society of London Series A-Mathematical Physical and Engineering Sciences 460, No. 2044, 977-994.
Citation: Haragus M, Kapitula T, 2008, On the spectra of periodic waves for infinite-dimensional Hamiltonian systems, Physica D-Nonlinear Phenomena 237, No. 20,2649-2671 - SCI ; SCOPUS
Publication: Kollár R, Scheel A, 2007, Coherent structures generated by inhomogeneities in oscillatory media,SIAM Journal on Applied Dynamical Systems 6, No. 1, 236-262.
Citation: Sherratt JA, Smith MJ, 2008, Periodic travelling waves in cyclic populations: field studies and reaction-diffusion models. Journal of the Royal Society Interface 5, No. 22, 483-505 - SCI ; SCOPUS
Publication: Kollár R, Miller PD, 2014, Graphical Krein signature theory and Evans-Krein functions, SIAM Review 56, no. 1, 73-123.
Citation: Bridges TJ, Ratliff DJ, 2019, Krein signature and Whitham modulation theory: the sign of characteristics and the "sign characteristic". In: Studies in Applied Mathematics, Vol. 142, No. 3, 314-335 - SCI ; SCOPUS
Práca: R Kollár, K Šišková (2015), Extension and justification of quasi-steady-state approximation for reversible bimolecular binding, Bulletin of mathematical biology 77 (7), 1401-1436
Ohlas: Goeke A, Walcher S, Zerz E, 2017, Classical quasi-steady state reduction—A mathematical characterization, Physica D: Nonlinear Phenomena, 2017, 345, pp. 11–26- SCI ; SCOPUS
Mathematical Problems in Models of Dynamics of Biological Processes [2019, principal investigator, VEGA 1/0755/19]
Qualitative properties of evolution problems in natural and technical sciences [2023, investigator, APVV-23-0039]
Approximate methods for study of complex systems [2020, investigator, VEGA 1/0521/20]
Investigation of immunity response to SARSCov-2 infection and development of clinically relevant virological tests for management of impacts of COVID19 pandemics [2020, investigator, APVV PP-COVID-20-0017]
VII.a - Activity, position | VII.b - Name of the institution, board | VII.c - Duration |
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Member Advisory Board of Minister for Sport | Ministry of Education, Science, Research and Sport of Slovak Republic | 2021-2024 |
VIII.a - Name of the institution | VIII.b - Address of the institution | VIII.c - Duration (indicate the duration of stay) | VIII.d - Mobility scheme, employment contract, other (describe) |
---|---|---|---|
University of Minnestota | Minneapolis, MN, USA | September 1, 2004 - August 31, 2005 | Employment contract - postdoc |
University of Michigan | Ann Arbor, MI, USA | September 1, 2005- August 31, 2009 | Employment contract - postdoc assistant professor |