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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