Marina Chugunova
Curriculum Vitae

Postdoctoral Fellow,
Department of Mathematics, University of Toronto
40 St. George Str.
Toronto, Ontario M5S 2E4,Canada
Phone: (office) +1 (416) 946-3769
Fax:    +1 (416) 978-4107
Email:
chugunom at math.utoronto.ca

 

PERSONAL:

Place of birth: Russia
Citizenship: Canadian


EDUCATION

Ph.D. Mathematics, McMaster University, December 2007, Canada
Thesis: Spectral Stability of Nonlinear Waves in Dynamical Systems
Supervisor: Dmitry Pelinovsky

Candidate of Math.Sc. Mathematical Analysis - 001, Ulyanovsk University, 1997, Russia
Thesis: Inverse Sturm-Liouville Problem with Spectral Parameter Dependent Boundary Conditions
Supervisor: Abraham V. Strauss

M.Sc. Mathematics, Moscow Institute of Physics and Technology, 1990, Russia
Thesis: The Automated Construction of Different Sectional Views for a Three-dimensional Model of the Russian Space Station "Mir".
Supervisor: Michail Komarov

B.Sc Mathematics, Moscow Institute of Physics and Technology, 1988, Russia


AWARDS

NSERC Postdoctoral Fellowship, 2008 - 2010

Best Student Paper Award, IMACS International Conference, Athens, GA, 2007

Summer Scholarship ( Stability and Instability of Nonlinear Waves Workshop), 2006

NSERC Graduate Scholarship, 2006 - 2007

Sharcnet Graduate Scholarship, 2004 - 2006

Award for Excellence in Online Teaching, 2001

Insitute of Applied Mathematics Research Grant, 1989

Scholarship of Moscow Institute of Physics and Technology, 1984

Russian Mathematical Olympiad (Far East Region of Russia), First Place with 100/100 points, 1983

 

PUBLICATIONS

[1] M. Chugunova, D. Pelinovsky, Spectrum of a non-self-adjoint operator associated with the periodic heat equation, Journal of Mathematical Analysis and its Applications, 342, 970-988, (2008) [available on request]

[2] M. Chugunova, V. Strauss, Factorization of an indefinite convection-diffusion operator, C. R. Math. Rep. Acad. Sci. Canada Vol. 30 (2), 40–-47, (2008) [available on request]

[3] M. Chugunova, D. Pelinovsky, Two-pulse solutions in the fifth-order KdV equation: rigorous theory and numerical approximations, Discr. Cont. Dyn. Syst. B 8,4, 773 - 800, (2007) [available on request]

[4] M. Porter, M. Chugunova, and D. Pelinovsky, Feshbach resonance management of Bose-Einstein condensates in optical lattices, Physical Review E 74,1 (2006) [available on request]

[5] M. Chugunova, D. Pelinovsky, Block-diagonalization of the symmetric first-order coupled-mode system, SIAM Journal of Applied Dynamical Systems 5, 66-83, (2005) [available on request]

[6] M.Chugunova, (2001) "Inverse spectral problem for the Sturm-Liouville operator with eigenvalue parameter dependent boundary conditions", Operator Theory: Advances and Applications, Birkhauser Verlag Basel, Switzerland, Vol. 123,187-194 [available on request]

[7] M.Chugunova, (2000), "Principal aspects of object-oriented programming", Some questions of teaching mathematics and information science, Ulyanovsk,110 –116 [available on request]

[8] M.Chugunova, (1997),"On the effective methods for the solution of some inverse problems", Funct. Analysis, Ulyanovsk, 36 , 66-75 [available on request]

[9] M.Chugunova, (1994), "An inverse boundary value problem on a finite interval.", Funct. Analysis, Ulyanovsk, 35 , 113--122 [available on request]

[10] M.Chugunova, (1993) "Entire extension of a second-order differentiation operator", Funct. Analysis, Ulyanovsk, 34, 76--79 [available on request]

ARTICLES ACCEPTED FOR PUBLICATIONS

[3] M. Chugunova, I. Karabash, and S.G. Paytkov, On the nature of ill-posedness of forward-backward heat equation, to appear in Integral Equations and Operator Theory (2009) [available on request]

[1] M. Chugunova, H. Volkmer, Spectral analysis of an operator arising in fluid dynamics, to appear in Studies in Applied Mathematics (2009) [available on request]

[2] T. Azizov, M. Chugunova, Pontryagin theorem and analysis of the spectral stability of solitons, to appear in Mat.Zametki, (2009) [available on request]

[3] M. Chugunova, D. Pelinovsky, On quadatic eigenvalue problems in stability of discrete vortices, to appear in Linear Algebra and its Applications (2009) [available on request]

[4] M. Chugunova, D. Pelinovsky, On the uniform convergence of the Chebyshev interpolants for pulse solutions, to appear in proceedings of IMACS conference, (2009) [available on request]

[5] M. Chugunova, H. Volkmer, Study of a differential operator of Heun type arising in fluid dynamics, to appear in Operators and Matrices (2009) [available on request]

RECENT PREPRINTS

[1] M. Chugunova, M. Pugh, R. Taranets, Existence theory for a long-wave unstable thin film equation with convection, preprint (2009)

[2] A. Burchard, M. Chugunova, On the instability index of a non-selfadjoint differential operator associated with coating and rimming flows, preprint (2009) [available on request]

[3] M. Chugunova, V. Strauss, On factorization of a perturbation of a J-selfadjoint operator arising in fluid dynamics, preprint (2009) [available on request]

[4] M. Chugunova, D. Pelinovsky, Count of eigenvalues in the generalized eigenvalue problem, preprint ( 2008) [available on request]


PROFESSIONAL EMPLOYMENT

  • (January 2008 - now), Postdoctoral Fellow, Lecturer, Course coordinator
  • - 2009, Differential Equations (MAT234), Mathematical Department University of Toronto
    - 2009, Partial Differential Equations (APM346), Mathematical Department University of Toronto

    - 2008, Differential Equations (MAT234), Mathematical Department University of Toronto
    - 2008, Partial Differential Equations (APM346), Mathematical Department University of Toronto

  • (Fall 2007), Ph.D student, Tutorial Instructor
- 2007, Engineering Mathematics II, Math.&Stat. Dept. McMaster University

  • (2006 - 2007), Ph.D student, Tutorial Instructor
- 2007, Numerical Linear Algebra, Math.&Stat. Dept. McMaster University
- 2006, Discrete Dynamical Systems and Chaos, Math.&Stat. Dept. McMaster University

  • (2005 - 2006), Ph.D student, Tutorial Instructor
- 2006, Mathematical Physics II, Math.&Stat. Dept. McMaster University
- 2005, Mathematical Physics I, Math.&Stat. Dept. McMaster University
  • (2004 - 2005), Ph.D student, Teaching Assistant
- 2005, Mathematical Physics II, Math.&Stat. Dept. McMaster University
- 2004, Mathematical Physics I, Math.&Stat. Dept. McMaster University
- 2004, Differential Equations, Math.&Stat. Dept. McMaster University
- 2004, Statistical Analysis for Engineering, Math.&Stat. Dept. McMaster University
- 2004, Probability Theory, Math.&Stat. Dept. McMaster University

  • (2003 - 2005), tutoring K-12, Academy for Mathematics & Science, Toronto

- Principles of Mathematics, Grade 9, Academic (MPM1D)
- Science, Grade 9, Academic (SNC1D)
- Principles of Mathematics, Grade 10, Academic (MPM2D)
- Science, Grade 10, Academic (SNC2D)
- Functions and Relations, Grade 11, University Preparation (MCR3U)
- Functions, Grade 11, University/College Preparation (MCF3M)
- Mathematics of Personal Finance, Grade 11, College Preparation (MBF3C)
- Advanced Functions and Introductory Calculus, Grade 12, University Preparation (MCB4U)
- Geometry and Discrete Mathematics, Grade 12, University Preparation (MGA4U)
- Mathematics of Data Management, Grade 12, University Preparation (MDM4U)

  • (2000 - 2003), Research Associate, Sessional Lecturer, Department of Computer Techniques Sciences at the Ulyanovsk Teacher's Training State University

- delivered lectures on topics in numerical methods.
- conducted research on topics of parameter dependent eigenvalue problems.
- developed on-line educational system ((C++, C#.NET))
- developed internet-oriented testing system (C++, C#.NET)

  • (1997 - 2000), Research Associate, Sessional Lecturer, Department of Information Sciences at the Ulianovsk Teacher's Training State University

- delivered lectures on topics in numerical methods.
- conducted seminars on the topics of numerical computing.
- implemented the simulation of physical experiments, corresponding to the problem, in C++ code.

  • (1993 – 1997), software developer, private company Vector +

- developed client - server applications in C++ Builder 5.0 (SQL server 7.0) for different branches of Ulyanovsk Energy Complex.

  • (1990 -1993 ), software developer, Ulianovsk Center of Microelectronics.

- took part in the development of a package to optimize the work of milling machines.
- implemented, in C code, a set of programs to calculate the best surface for cutting faces.

  • (1989-1990), research assistent, Institute of Applied Mathematics

- conducted my graduate research at the Institute of Applied Mathematics of the Russian Academy of Sciences.
- developed a method of automated construction of different sectional views for a three-dimensional model of the Russian Space Station "Mir".
- implemented the numeric scheme of the method in C code and created a graphics package to visualize the computation results.


CERTIFICATIONS

- Microsoft Certified Data Base Administrator (MCDBA).
- Microsoft Certified Programmer (MCP).


PROGRAMMING

Programming Languages And Libraries:
C/C++, Matlab, Maple, MPI, Open MP, Lapack, Petsc, Slepc.

Internet Technologies:
Macromedia Dreamweaver, HTML/DHTML/JavaScript.


REFERENCES

 

Dr. Walter Craig
Dept. of Mathematics & Statistics
McMaster University
1280 Main Street West
Hamilton, Ontario
Canada  L8S 4K1
craig@math.mcmaster.ca
905-525-9140, ext. 23422
905-522-0935 (fax)

Dr. Dmitry Pelinovsky
Dept. of Mathematics & Statistics
McMaster University
1280 Main Street West
Hamilton, Ontario
Canada  L8S 4K1
dmpeli@math.mcmaster.ca
905-525-9140, ext. 23424
905-522-0935 (fax)

 
 
 

Dr. Vladimir Strauss
Department of Mathematics
Universidad Simo'n Boli'var
Sartenejas, Baruta, Edo Miranda
Caracas 1080
Venezuela
e-mail: str@usb.ve
(+58)-212-9063283

Dr. Yuri Latushkin
Department of Mathematics
University of Missouri,
Columbia,
MO 65211
yuri @math.missouri.edu
(573) 882-8275
(573) 882-1869 (fax)