Curriculum Vitae
- CV (pdf)
- Research Statement (last updated June, 2017) (pdf)
Research
Interests
The primary interests are in mathematical
modeling of various evolutionary processes at all levels. In particular:
- development of epidemiological models that include heterogeneous structure
of populations;
- mathematical analysis of the quasispecies model.
Education
Ph.D., Applied Mathematics, 2002, Moscow State University of
Communication Means (MIIT), Moscow, Russia
M.S., Applied Mathematics, 1999, Moscow State University of
Communication Means (MIIT), Moscow,
Russia
Positions
- Associate Professor (08/2018 — present), Department of Mathematics, North
Dakota State University, Fargo, ND, USA
- Assistant Professor (08/2012 — 08/2018), Department of Mathematics, North
Dakota State University, Fargo, ND, USA
- Associate Professor (09/2009 — 06/2012), Department of Applied
Mathematics–1, Moscow State University of Communication Means
(MIIT), Moscow, Russia
- Visiting Fellow (09/2004 — 08/2009), National Center for Biotechnology
Information (NCBI), National Library of Medicine (NLM), National Institutes of
Health (NIH), Bethesda, Maryland, USA
- Assistant Professor (09/2002 — 07/2004), Department of Applied
Mathematics–1, Moscow State University of Communication Means (MIIT),
Moscow, Russia
- Graduate Assistant (10/1999 — 05/2002), Department of Applied
Mathematics–1, Moscow State University of Communication Means (MIIT),
Moscow, Russia
Presentations, Conferences,
and Visits
- 2023 Society of Mathematical Biology, Annual Meeting and Conference: On a hypercycle equation with infinitely many members, Minisimposium: Modeling and analysis of evolutionary dynamics across scales and areas of applications, 25 minutes, Ohio, US, July 16-21
- 2021 Society of Mathematical Biology, Virtual Annual Meeting, June 13-17, Parametric heterogeneity in epidemiological models and modeling of COVID-19, 15 minutes
- 2020 Society of Mathematical Biology, Virtual Annual Meeting, August 17-20, no presentation
- 2019 Multiscale models in biology, UMN: The theory of heterogeneous populations, May, Minneapolis, USA.
- 2018 Midwest Mathematical Biology Conference: Eigen quasispecies model and isometry group acting on finite metric spaces, May, La Crosse, Wisconsin, USA.
- 2017 Tri-College Colloquium, MSUM, Moorhead: History and progress in solving the Eigen's quasispecies model, October, Moorhead, MN, USA.
- 2017 Fall Central Sectional Meeting, University of North Texas, Special Session on Differential Equation Modeling and Analysis for Complex Bio-systems: Heterogeneous Mathematical Models and the Problem of System Identification, September, Denton, Texas, USA.
- 2016 Midwest Mathematical Biology Conference: On the evolution of parameter distributions in epidemiological models, May, La Crosse, Wisconsin, USA
- 2016 Spring Central Sectional Meeting, NDSU, Fargo, Special Session on Topological and Smooth Dynamics: On Eigen's quasispecies model and isometry groups acting on finite metric spaces, April, Fargo, North Dakota, USA
- 2015 Colloquium of the Department of Mathematics, NDSU: On Eigen's quasispecies model, two-valued fitness landscapes, and isometry groups acting on finite metric spaces, September, Fargo, North Dakota, USA (slides)
- 2015 The Society for Mathematical Biology Annual Meeting and Conference: Exact Solutions Of The Quasispecies Evolutionary Model, July, Atlanta, Georgia, USA
- 2014 Seminar at Dr. Koonin lab, NCBI/NLM/NIH: What we know and what we do not know about the quasispecies, October, Bethesda, Maryland, USA
- 2014 Colloquium of the Department of Mathematics, NDSU: Linear Algebra of the quasispecies model, September, Fargo, North Dakota, USA
- 2014 SIAM Conference on the Life Sciences: Linear algebra of the quasispecies model, August, Charlotte, North Carolina, USA (slides)
- 2014 Midwest Mathematical Biology Conference: Linear algebra of the quasispecies model, May, La Crosse, Wisconsin, USA (slides)
- 2014 Joint Mathematics Meeting: Linear algebra of the Crow-Kimura quasispecies model, January, Baltimore, Maryland, USA
- 2013 The Society for Mathematical Biology Annual Meeting and Conference: Epidemiological models with parametric heterogeneity, June, Tempe, Arizona, USA
- 2013 Biology Department Seminar, NDSU: Origin and evolution of the standard genetic code, May, Fargo, ND, USA
- 2013 Joint Mathematics Meeting: Analysis of a stochastic SIR model with parametric heterogeneity, January, San Diego, CA, USA
- 2012 Physics Department Seminar, NDSU: On mathematical modeling of biological evolution, October, Fargo, ND, USA
- 2012 Mathematics Colloquium, NDSU: On the asymptotic behavior of the solutions to a replicator equation, September, Fargo, ND, USA
- 2012 Workshop at Moscow State University of Communication Means: On
mathematical models of prebiotic evolution and their mathematical analysis,
May, Moscow, Russia, (slides)
- 2012 Computational Mathematics and Cybernetics Department, Moscow State
University (Lomonosov): Mathematical approaches to random networks, March,
Moscow, Russia
- 2012 NCBI Scientific Visitor's Program, NCBI/NLM/NIH, January–February,
Bethesda, MD, US
- 2012 Joint Mathematics Meeting, January 4–7, AMS Special Session on
Recent Advances in Mathematical Biology, Ecology, and Epidemiology, I: On the
spread of epidemics in a closed heterogeneous population, January,
Boston, Massachusetts, US
- 2012 Joint Mathematics Meeting, January 4–7, AMS Session on Mathematical
Biology and Related Fields: Reaction–diffusion replicator equation: Stability
and asymptotic behavior, January, Boston, Massachusetts, US
- 2011 Seminar at the NDSU Department of Mathematics: On the mathematical
modeling of the spread of epidemics in heterogeneous populations, December,
Fargo, North Dakota, US (Skype presentation)
- 2011 Workshop on Critical Phenomena and Complex Systems, Laboratory of
Statistical and Computational Physics, Institute of Physics, Academia of
Sinica: On the Spread of Epidemics in a Closed Heterogeneous Population,
December, Taipei, Taiwan
- 2011 Workshop on Critical Phenomena and Complex Systems, Laboratory of
Statistical and Computational Physics, Institute of Physics, Academia of
Sinica: On the Origin and Evolution of the Standard Genetic Code, December,
Taipei, Taiwan
- 2011 Seminar at Steklov Institute, Department of Mathematical Physics:
Asymptotic behavior of the solutions to the replicator equation in
evolutionary game theory, November, Moscow, Russia
- 2011 The 3d Workshop "Mathematical models and numerical methods in
biomathematics": On the spread of epidemics in a closed heterogeneous
population, October 27–28, Institute of Numerical Mathematics, Russian Academy
of Science, October, Moscow, Russia
- 2011 8th European Conference on Mathematical and Theoretical Biology: On
the Spread of Epidemics in a Closed Heterogeneous Population, Krakow, Poland,
June, 28–July, 2 (slides)
- 2011 Seminar at Systems Analysis, Computational Mathematics and
Cybernetics Department, Moscow State University (Lomonosov) (the host is Prof.
A.B. Kurzhanski): On the mathematical modeling in Systems Biology, May,
Moscow, Russia (slides)
- 2011 Seminar at Computing Center, Russian Academy of Science, Department
of Simulation Systems and Operational Research: On the spread of epidemics in
a closed heterogeneous population, May, Moscow, Russia (slides)
- 2011 Seminar at Steklov Institute (the host is prof. Y. Ilyashenko): On
the asymptotic behavior of the solutions to the replicator equation, April,
Moscow, Russia (slides)
- 2011 Seminar at Computational Mathematics and Cybernetics, Moscow State
University (Lomonosov): Universality of the power law distributions and
mechanisms to generate them, April, Moscow, Russia
- 2011 Seminar at Laboratory of Complex Systems, Moscow State University
of Communication Means (MIIT): Origin and evolution of the standard
genetic code, April, Moscow, Russia
- 2011 Mathematics Department at Moscow State University (Lomonosov):
Asymptotic behavior of some replicator equations, February, Moscow, Russia
- 2011 Conference "Education, Computing, Mathematics–2011": Exceptional
error minimization in putative primordial genetic codes, January 24–29,
Puschino, Russia
- 2011 Conference "Mathematical models and numerical methods in
biomathematics": Replicator equations and explicit space, January 11–12,
Institute of Numerical Mathematics, Russian Academy of Science, January,
Moscow, Russia
- 2010 Seminar at Biophysics Department at Moscow State University
(Lomonosov): Mathematical theories of epidemic spread: Homogeneous vs
Heterogeneous models, November, Moscow, Russia
- 2010 Seminar at Steklov Institute: Replicator equation: The principle of
global regulation and explicit space, October, Moscow, Russia (slides)
- 2010 Moscow Bioinformatics Seminar at Engelhardt Institute of Molecular
Biology: On the origin and evolution of the standard genetic code, March,
Moscow, Russia (slides)
- 2009 Mathematics Department at Moscow State University (Lomonosov): On the
use of differential equations in theoretical population genetics:
Quasi-species theory and beyond, December, Moscow, Russia
- 2009 Computational Mathematics and Cybernetics, Moscow State University
(Lomonosov): On the spread of epidemics in closed heterogeneous populations,
November, Moscow, Russia
- 2009 Department of Applied Mathematics–1 at Moscow State University
of Communication Means (MIIT): Replicator equation: Equation of Life,
October, Moscow, Russia
- 2009 Mathematics Department at Howard University: On the mathematical
modeling of epidemics in a closed heterogeneous population, February,
Washington, DC, USA (slides)
- 2008 The 6th International Conference On Differential Equations and
Dynamical Systems: Influence of heterogeneity in disease parameters on the
disease evolution within the basic SIR model, May, Baltimore, MD, USA
- 2008 The 6th International Conference On Differential Equations and
Dynamical Systems: Traveling wave solutions in some models with
cross-diffusion, May, Baltimore, MD, USA
- 2008 CBB NCBI seminar: Evolution of the genetic code: Partial optimization
for robustness to translation errors. April, NCBI/NLM/NIH, MD, USA
- 2006 CBB NCBI seminar: Mathematical modeling of horizontally transferred
genes: a stochastic birth–and–death model. October, NCBI/NLM/NIH, MD, USA
- 2003 Moscow Institute of Mathematics and Electronics: Generalized model of
the predator–prey interaction and , September, Moscow, Russia
- 2002 Center of Ecology Problem and Forest Productivity of Russian Academy
of Sciences: Mathematical models of the system "pollutant–environment", April,
Moscow, Russia
- 2002 Moscow Institute of Mathematics and Electronics: Mathematical models
of the system "pollutant–environment", March, Moscow, Russia
- 2002 Institute of Problems in Mechanics: Mathematical models of the system
"pollutant–environment", February, Moscow, Russia
- 2001 The 5th IFAC Symposium Nonlinear Control Systems, July 4—6, St.
Petersburg, Russia (poster session)
- 2000 The 2nd International Conference Control of Oscillations and Chaos,
July 5–7, St. Petersburg, Russia
Reviewer
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