June 30, 2010
1
CURRICULUM VITAE
FOR
CHEVIAKOV, Alexei F.
Department of Mathematics & Statistics
ACADEMIC CREDENTIALS
M. Sc. in Applied Mathematics and Mathematical Physics (High honours), Moscow State EngineeringPhysics Institute (MEPhI), Russia (2000), Department of Applied Mathematics.
Ph.D. in Mathematics, Queen's University at Kingston, Canada (2004), Department of Mathematics
and Statistics.
APPOINTMENT(S) AND PROMOTIONS (U OF S)
Assistant Professor, Tenure-track, July 1, 2008, Department of Mathematics and Statistics.
HONOURS (MEDALS, FELLOWSHIPS, PRIZES)
1st Place: Russian Federation’s Contest of Student Research Works, Russia 1998.
Honorary Fellowship of the Government of the Russian Federation, Russia 1998.
Fellowship of the President of the Russian Federation, Russia 1999.
High honours M. Sc. degree in Applied Mathematics, Moscow State Engineering-Physics Institute
(MEPhI), Russia 2000.
Ontario Graduate Scholarship, Ontario, Canada 2002, 2003.
NSERC Postdoctoral Fellowship, NSERC, Canada, 2004.
Honorary Killam Postdoctoral Fellowship, Killam Foundation, Canada, 2004.
PIMS Postdoctoral Fellowship, Pacific Institute of Mathematical Sciences, Canada, 2006.
Alexander von Humboldt Junior International Research Fellowship, Alexander von Humboldt
Foundation, Germany, 2008.
PREVIOUS POSITIONS
Killam and NSERC Postdoctoral Fellow, Department of Mathematics, UBC, Vancouver, BC, 20042006.
PIMS Postdoctoral Fellow, Department of Mathematics, UBC, Vancouver, BC, 2006-2008.
Alexander von Humboldt Research Fellow, TU Darmstadt, Darmstadt, Germany, 2008.
SCHEDULED INSTRUCTIONAL ACTIVITY
YEAR
COURSE
INST.
TYPE ENRL. YIH
2009-2010
Math 338.6 (01) T1T2 Differential Equations II
Math 818.3 (03) T1 Methods for PDEs I
Math 818.3 (02) T2 Methods for PDEs II
Math 110.3 (01) T1 SS2010 Calculus I
LEC
LEC
LEC
LEC
30
3
2
59
39
39
39
39
1170
117
78
2301
2008-2009
Math 110.3 SS2009 Calculus I
Math 338.6 T1T2 Differential Equations II
Math 433.3 T2 Applied Group Theory
LEC
LEC
LEC
48
29
1
39
39
39
1872
1131
39
2007-2008
University of British Columbia
CHEVIAKOV, Alexei
YCSH
2
June 30, 2010
Math 257
Math 267
Math 316
Partial Differential Equations
Math. Methods for Electrical and Computer Engineers
Partial Differential Equations
2006-2007
University of British Columbia
Math 257
Partial Differential Equations
Math 265
Linear Differential Equations
2005-2006
University of British Columbia
Math 400
Applied Partial Differential Equations
Math 316
Partial Differential Equations
Math 152
Linear Algebra (1st year Engineering)
2003-2004
Queen's University
Math 126
Calculus for Economics
Math 126
Calculus for Economics
2001-2002
Queen's University
APSC 171 Calculus for Applied Science
BOOKS, CHAPTERS IN BOOKS, EXPOSITORY AND REVIEW ARTICLES
G. Bluman, A. F. Cheviakov, and S. C. Anco, 2010. Applications of Symmetry Methods to Partial
Differential Equations. Springer: Applied Mathematical Sciences, Vol. 168 (2010), ISBN 978-0387-98612-8. (Authorship: one of the two principal co-authors, 45% royalties). Prepared initial
drafts of 3 out of 5 chapters and was heavily involved in editing of all chapters in the book.
PAPERS IN REFEREED JOURNALS
ACCEPTED:
A. F. Cheviakov and G. W. Bluman, 2010. On locally and nonlocally related potential systems.
Journal of Mathematical Physics, Accepted, 24 pages.
A. F. Cheviakov and M. J. Ward, 2010. Optimizing the principal eigenvalue of the Laplacian in a
sphere with interior traps. Mathematical and Computer Modelling, 16 pages, in press.
PUBLISHED:
A. F. Cheviakov, M. J. Ward, R. Straube, 2010. An asymptotic analysis of the mean first passage
time for narrow escape problems: Part II: the sphere. SIAM Journal of Multiscale Modeling and
Simulation, 8 (3), 836-870.
A. F. Cheviakov and M. Oberlack, 2009. Higher-order symmetries and conservation laws of the
$G$-equation for premixed combustion and resulting numerical schemes. Journal of Engineering
Mathematics, 66, 121-140.
A. F. Cheviakov, G. Bluman, and J.-F. Ganghoffer, 2009. On the Nonlocal Symmetries, Group
Invariant Solutions and Conservation Laws of the Equations of Nonlinear Dynamical
Compressible Elasticity. Proceedings of the UTAM Symposium on the Progress in the Theory
and Numerics of Configurational Mechanics, (P. Steinmann, Ed.), 107-121.
A. F. Cheviakov and J. Hartwick, 2009. Constant Per Capita Consumption Paths with Exhaustible
Resources and Decaying Produced Capital. Ecological Economics, 68, 2969-2973.
A. F. Cheviakov, 2009. Computation of fluxes of conservation laws. Journal of Engineering
Mathematics, 66, 153-173.
CHEVIAKOV, Alexei
June 30, 2010
3
A. F. Cheviakov, G. W. Bluman, and S. C. Anco, 2009. Construction of Conservation Laws: How the
Direct Method Generalizes Noether's Theorem, Proceedings of 4th Workshop, Group Analysis of
Differential Equations Integrability (C. Sophocleous, Ed.), 1-23.
A. F. Cheviakov, 2009. An extended procedure for finding exact solutions of partial differential
equations arising from potential symmetries. Journal of Mathematical Physics, 49, #083502, 18
pages.
A. F. Cheviakov, G. Bluman, and J.-F. Ganghoffer, 2008. Nonlocally related PDE systems for onedimensional nonlinear elastodynamics. Journal of Engineering Mathematics, 62 (3), 203-221.
A. F. Cheviakov and S. C. Anco, 2008. Analytical properties and exact solutions of static plasma
equilibrium systems in three dimensions. Physics Letters A, 372, 1363–1373.
A. F. Cheviakov, G. Bluman, and M. Senthilvelan, 2007. Solution and Asymptotic/Blow-up Behaviour
of a Class of Nonlinear Dissipative Systems. Journal of Mathematical Analysis and Applications,
339, 1199 - 1209.
A. F. Cheviakov and M. J. Ward, 2007. A Two-Dimensional Metastable Flame-Front and a
Degenerate Spike-Layer Problem. Interfaces and Free Boundaries, 9, 513-547.
A. F. Cheviakov and G. Bluman, 2007. Nonlocally related systems, linearization and nonlocal
symmetries for the nonlinear wave equation. Journal of Mathematical Analysis and Applications ,
333, 93-111.
A. F. Cheviakov, 2007. GeM software package for computation of symmetries and conservation laws
of differential equations. Computer Physics Communications 176, 48-61.
A. F. Cheviakov, G. Bluman, and N. M. Ivanova, 2006. Framework for nonlocally related PDE
systems and nonlocal symmetries: extension, simplification, and examples. Journal of
Mathematical Physics , 47, 113505 (23 pages).
A. F. Cheviakov, 2005. Construction of exact plasma equilibrium solutions with different geometries.
Physical Review Letters, 94, 165001.
A. F. Cheviakov and G. Bluman, 2005. Framework for potential systems and nonlocal symmetries:
Algorithmic approach. Journal of Mathematical Physics, 46, 123506 (19 pages).
A. F. Cheviakov, 2005. Analytical 3-Dimensional Anisotropic Magnetohydrodynamic Equilibria.
Topology and Applications, 152, 157-173.
A. F. Cheviakov and J. Hartwick, 2005. Beckmann's Edgeworth-Bertrand Duopoly Example
Revisited. International Game Theory Review , 7, 461-471.
A. F. Cheviakov and O. I. Bogoyavlenskij, 2004. Exact anisotropic MHD equilibria, Journal of
Physics A, 37, 7593-7607.
A. F. Cheviakov, 2004. Bogoyavlenskij symmetries of ideal MHD equilibria as Lie point
transformations. Physics Letters A, 321, 34-49.
A. F. Cheviakov, 2004. Exact plasma equilibria from symmetries and transformations of MHD and
CGL equilibrium equations. Symmetry Methods in Physics, (ed. C. Burdik), Prague (2004).
A. F. Cheviakov, Bogoyavlenskij symmetries of isotropic and anisotropic MHD equilibria are Lie point
transformations, Proceedings of Institute of Mathematics, NAS Ukraine 50, 69-76.
CHEVIAKOV, Alexei
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June 30, 2010
A. F. Cheviakov, N. A. Kudryashov, and G. S. Romanov, 2003. Numerical simulation of the
quasistationary phase of a volcanic eruption in the initial stage. Journal of Engineering Physics
and Thermophysics, 76, 795-803.
A. F. Cheviakov, N. A. Kudryashov, and G. S. Romanov, 2002. Numerical modelling of explosive
volcanic eruptions. Journal of Engineering Physics and Thermophysics, 75, 521-528.
A. F. Cheviakov, N. A. Kudryashov, and G. S. Romanov, 1999. Self-Similar Solutions of 1Dimentional Problems of Gas Filtration with Quadratic Law of Resistance. Journal of Engineering
Physics and Thermophysics, 72, 1090-1099.
INVITED LECTURES OUTSIDE U OF S AND INVITED CONFERENCE PRESENTATIONS
A. F. Cheviakov, 2010. An Asymptotic Analysis of the Mean First Passage Time for Narrow Escape
Problems for the Sphere. Optimal Configurations on the Sphere and Other Manifolds. Vanderbilt
University.
A. F. Cheviakov, 2009. Narrow Escape Problems: Asymptotic Optimization of Locations of Small
Traps for the Unit Sphere. CMS Winter Meeting, Windsor, Canada.
A. F. Cheviakov, 2009. An extended procedure for finding exact solutions of PDEs arising from
potential symmetries. Symmetry in Nonlinear Mathematical Physics - NAS Ukraine, June, Kiev,
Ukraine.
A. F. Cheviakov, 2009. Computation and applications of local conservation laws. Third annual
meeting of the Prairie Network for Research in Mathematical Sciences, University of
Saskatchewan, May, Saskatoon, SK, Canada.
A. F. Cheviakov, 2008. Analytical properties and exact solutions of anisotropic MHD equilibrium
systems in three dimensions. CMS Meeting, December, Ottawa, ON, Canada.
A. F. Cheviakov, 2008. Nonlocally related PDE systems and exact solutions for 1D nonlinear
elastodynamic. CMS Winter Meeting, December, Ottawa, ON, Canada.
A. F. Cheviakov, 2008. Locally and nonlocally related potential systems. Applications to PDE
systems in fluid and plasma theory. Similarity: generalizations, applications and open problems,
August , Vancouver, BC, Canada.
A. F. Cheviakov, 2008. Practical methods of computation of fluxes of conservation laws. Similarity:
generalizations, applications and open problems, August, Vancouver, BC, Canada.
A. F. Cheviakov, 2008. 4 seminar talks in: Department of Fluid Dynamics, TU Darmstadt,
Darmstadt, Germany.
A. F. Cheviakov, 2008. Modern Symmetry Methods for PDEs. Applications to Mathematical Modeling
and Analysis, Department of Mathematics and Computer Science (colloquium), Laurentian
University, March, Sudbury, ON, Canada.
A. F. Cheviakov, 2008. Mathematical Modeling: Principles and Examples. Department of
Mathematics, (colloquium), Okanagan College, February, Kelowna, BC, Canada.
A. F. Cheviakov, 2008. Symmetries of Partial Differential Equations, their Applications, Computation,
and Extensions. Department of Mathematics, University of Alberta (colloquium), February,
Edmonton, AB, Canada.
CHEVIAKOV, Alexei
June 30, 2010
5
A. F. Cheviakov, 2008. Symmetries of Partial Differential Equations, their Applications and
Computation. Department of Mathematics and Statistics (colloquium), University of Manitoba,
February, Winnipeg, MB, Canada.
A. F. Cheviakov, 2007. A Two-Dimensional Metastable Flame-Front. CAIMS 2007 meeting, June,
Banff, AB, Canada.
A. F. Cheviakov, 2007. Department of Mathematics, University of Alberta (Applied Mathematics
Seminar), January, Edmonton, AB, Canada.
A. F. Cheviakov, 2006. A Two-Dimensional Metastable Flame-Front and a Degenerate Spike-Layer.
Department of Mathematics, Dalhousie University (colloquium), October, Halifax, NS, Canada.
A. F. Cheviakov, 2006. A Two-Dimensional Metastable Flame-Front and a Degenerate Spike-Layer,
Faculty of Science, University of Ontario Institute of Technology (colloquium), October, Oshawa,
ON, Canada.
A. F. Cheviakov, 2006. Department of Applied Mathematics, University of Waterloo (seminar),
October, Waterloo, ON, Canada.
A. F. Cheviakov, 2006. A Two-Dimensional Metastable Flame-Front and a Degenerate Spike-Layer,
Department of Mathematics, York University (colloquium), October, Toronto, ON, Canada.
A. F. Cheviakov, 2006. Framework for Nonlocally Related PDE Systems Arising from Conservation
Laws. Department of Mathematics and Statistics (seminar), Queen's University, October,
Kingston, ON, Canada.
A. F. Cheviakov, 2006. Department of Mathematics, University of New Brunswick (colloquium),
November, Fredericton, NB, Canada.
A. F. Cheviakov, 2006. Symmetries of Differential Equations: Review and Applications. International
Workshop: Complex Structures, Generalized Continua and nonlinear waves, INPL, June, Nancy,
France.
A. F. Cheviakov, 2005. Framework for nonlocally-related systems and nonlocal symmetries:
Algorithmic approach. CMS Winter meeting, December, Victoria, BC, Canada.
A. F. Cheviakov, 2005. Symmetries and exact solutions of Plasma Equilibrium equations.
Department of Mathematics, University of Washington (seminar), November, Seattle, WA, USA.
G. Bluman, A. F. Cheviakov and N. M. Ivanova, 2006. Framework for Nonlocally Related PDE
Systems Arising from Conservation Laws. SIAM Conference on Nonlinear Waves and Coherent
Structures, University of Washington, September, Seattle, WA, USA.
A. F. Cheviakov, 2004. Infinite symmetries and transformations of isotropic and anisotropic MHD
equilibria. Symmetry in Physics - 2004 International Conference, July, Prague, Czech Republic.
PRESENTATIONS AT CONFERENCES
A. F. Cheviakov, 04/2008. Models of Ball Lightning. Institute of Applied Mathematics (IAM retreat
talk), UBC, Vancouver, BC, Canada.
CHEVIAKOV, Alexei
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June 30, 2010
A. F. Cheviakov, 2003. Bogoyavlenskij symmetries of isotropic and anisotropic MHD equilibria as Lie
point transformations. Symmetry in Nonlinear Mathematical Physics - NAS Ukraine, June, Kiev,
Ukraine.
A. F. Cheviakov, 2003. Infinite-dimensional Backlund transformations between isotropic and
anisotropic plasma equilibria. Kolmogorov-100 International Conference, Moscow State
University, July, Moscow, Russia.
A. F. Cheviakov, 2003. New exact 3-dimensional plasma equilibria. Dynamic Systems Denton 2003, University of North Texas, April, Denton, TX, USA.
A. F. Cheviakov, 2002. Mathematical modelling of the quasi-stationary phase of the initial stage of
volcanic eruptions. 22nd Southeastern-Atlantic Regional Conference on Differential Equations at
the University of Tennessee, April, Knoxville, TN, USA.
A. F. Cheviakov, 2002. Lie group analysis of plasma equilibrium equations. 22nd SoutheasternAtlantic Conference on Differential Equations, April, Knoxville, TN, USA.
A. F. Cheviakov, 2002. Plasma Confinement and Equilibrium: Theoretical Approach. ISM 2002,
Concordia University, March, Montreal, QC, Canada.
A. F. Cheviakov, 1999. New analytical solutions of 1-dimentional gas filtration problems. MEPhI
Scientific Session, MEPhI, February, Moscow, Russia.
A. F. Cheviakov, 1999. Mathematical modelling of an explosive volcanic eruption at the initial stage.
EPhI Scientific Session, MEPhI, February, Moscow, Russia.
A. V. Cheviakova and A. F. Cheviakov, 02/1999. Modelling of interaction of synaptic and pacemaker
activity of neurons. I. P. Pavlov Conference, Moscow State University, February, Moscow,
Russia.
RESEARCH GRANT INFORMATION
NSERC Discovery Grant, 2009-2014
PROFESSIONAL AND ASSOCIATION OFFICES AND COMMITTEE ACTIVITY OUTSIDE
UNIVERSITY
Reviewer for the following journals and databases, 2008-2010:
Canadian Quarterly of Applied Mathematics
Computer Physics Communications
Journal of Mathematical Physics
Journal of Nonlinear Mathematical Physics
Journal of Physics A: Mathematical and Theoretical
Journal of Physics D: Applied Physics
SIGMA (Symmetry, integrability and geometry: methods and applications)
AMS Mathematical Reviews database
Zentralblatt MATH database
CHEVIAKOV, Alexei