Research/art/teacher profile of a person
Name and surname:
doc. Mgr. Richard Kollár, PhD.
Document type:
Research/art/teacher profile of a person
The name of the university:
Comenius University Bratislava
The seat of the university:
Šafárikovo námestie 6, 818 06 Bratislava

I. - Basic information

I.1 - Surname
Kollár
I.2 - Name
Richard
I.3 - Degrees
doc. Mgr., PhD.
I.4 - Year of birth
1974
I.5 - Name of the workplace
Comenius University in Bratislava, Faculty of Mathematics, Physics and Informatics
I.6 - Address of the workplace
Department of Applied Mathematics and Statistics, Mlynská dolina, 842 48 Bratislava
I.7 - Position
Associated Professor
I.8 - E-mail address
richard.kollar@gmail.com
I.9 - Hyperlink to the entry of a person in the Register of university staff
https://www.portalvs.sk/regzam/detail/5617
I.10 - Name of the study field in which a person works at the university
Mathematics
I.11 - ORCID iD
https://orcid.org/0000-0002-1438-0863

II. - Higher education and further qualification growth

II.1 - First degree of higher education
II.2 - Second degree of higher education
II.a - Name of the university or institution
Comenius University in Bratislava, Faculty of Mathematics, Physics and Informatics
II.b - Year
1997
II.c - Study field and programme
Mathematics
II.3 - Third degree of higher education
II.a - Name of the university or institution
University of Maryland College Park, MD, USA
II.b - Year
2004
II.c - Study field and programme
Mathematics
II.4 - Associate professor
II.a - Name of the university or institution
Univerzita Komenského v Bratislave, Fakulta matematiky, fyziky a informatiky / Comenius University in Bratislava, Faculty of Mathematics, Physics and Informatics
II.b - Year
2014
II.c - Study field and programme
Mathematics
II.5 - Professor
II.6 - Doctor of Science (DrSc.)

III. - Current and previous employment

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. - Development of pedagogical, professional, language, digital and other skills

IV.a - Activity description, course name, other IV.b - Name of the institution IV.c - Year
Pedagogical Approbation Comenius University in Bratislava, Faculty of Mathematics, Physics and Informatics 1997

V. - Overview of activities within the teaching career at the university

V.1 - Overview of the profile courses taught in the current academic year according to study programmes
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, Bioinformatics, Technical Physics I Mathematics
Mathematical Analysis (2) Data Science, Bioinformatics, Technical Physics I Mathematics
Mathematics for biologists Biology, Medical Biology I Biology
Partial Differential Equations (2) Mathematics II Mathematics
Biomathematics Applied Mathematics, Biophysics III Mathematics
V.2 - Overview of the responsibility for the delivery, development and quality assurance of the study programme or its part at the university in the current academic year
V.2.a - Name of the study programme V.2.b - Degree V.2.c - Field of study
Biophysics III Physics
V.3 - Overview of the responsibility for the development and quality of the field of habilitation procedure and inaugural procedure in the current academic year
V.4 - Overview of supervised final theses
V.4.1 - Number of currently supervised theses
V.4.a - Bachelor's (first degree)
1
V.4.b - Diploma (second degree)
1
V.4.c - Dissertation (third degree)
1
V.4.2 - Number of defended theses
V.4.a - Bachelor's (first degree)
23
V.4.b - Diploma (second degree)
21
V.4.c - Dissertation (third degree)
1
V.5 - Overview of other courses taught in the current academic year according to study programmes

VI. - Overview of the research/artistic/other outputs

VI.1 - Overview of the research/artistic/other outputs and the corresponding citations
VI.1.1 - Number of the research/artistic/other outputs
VI.1.a - Overall
43
VI.1.b - Over the last six years
7
VI.1.2 - Number of the research/artistic/other outputs registered in the Web of Science or Scopus databases
VI.1.a - Overall
21
VI.1.b - Over the last six years
7
VI.1.3 - Number of citations corresponding to the research/artistic/other outputs
VI.1.a - Overall
143
VI.1.b - Over the last six years
56
VI.1.4 - Number of citations registered in the Web of Science or Scopus databases
VI.1.a - Overall
135
VI.1.b - Over the last six years
56
VI.1.5 - Number of invited lectures at the international, national level
VI.1.a - Overall
50
VI.1.b - Over the last six years
8
VI.2 - The most significant research/artistic/other outputs
1

Kollár R, Miller PD, 2014, Graphical Krein signature theory and Evans-Krein functions, SIAM Review 56, no. 1, 73-123

2

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

3

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

4

Kollár R, 2011. Homotopy method for nonlinear eigenvalue pencils with applications, SIAM Journal on Mathematical Analysis 43, No. 2, 612-633

5

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 (8), e0256669.

VI.3 - The most significant research/artistic/other outputs over the last six years
1

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

2

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

3

Kollár R., 2024, Incomplete Finite Binomial Sums of Harmonic Numbers, Journal of Integer Sequences 27 (2), 3

4

I Kajanova, L Lukacikova, L Jelenska, K Grossmannova, Z Radikova, et al.(2021), Seroprevalence of SARS-CoV-2 IgG antibodies in the staff of the Slovak Academy of Sciences in response to COVID-19 and/or vaccination: situation in August 2021, Acta Virol 65 (4), 420-432

5

R Kollár, K Bodová (2021), True Pandemic State and a Lack of Capacity of Hospitals and Mechanical Ventilations in Slovakia during the SARS-COV-2 Pandemic Wave in August 2020-May 2021, ITAT, 247-254

VI.4 - The most significant citations corresponding to the research/artistic/other outputs
1

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

2

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

3

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

4

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

5

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

VI.5 - Participation in conducting (leading) the most important research projects or art projects over the last six years
1

Mathematical Problems in Models of Dynamics of Biological Processes [2019-2022, principal investigator, VEGA 1/0755/19]

2

Qualitative properties of evolution problems in natural and technical sciences [2023-2027, investigator, APVV-23-0039]

3

Approximate methods for study of complex systems [2020-2023, investigator, VEGA 1/0521/20]

4

Complex process dynamics in applied problems [2025-2028, investigator, VEGA 1/0561/25]

5

Robust estimation of stochastic dynamics from tracked data [2024-2026, scientific team member, Stipend of the Recovery and Resilience Plan for Slovakia under the project R3 No. 09I03-03-V04-00037]

VII. - Overview of organizational experience related to higher education and research/artistic/other activities

VII.a - Activity, position VII.b - Name of the institution, board VII.c - Duration
Member Advisory Board of Minister for Sport Ministry of Education, Science, Research and Sport of Slovak Republic 2021-2024

VIII. - Overview of international mobilities and visits oriented on education and research/artistic/other activities in the given field of study

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

IX. - Other relevant facts

Date of last update
2026-02-03