Maria K. Cameron
4105 Mathematical Bldg
Department of Mathematics
University of Maryland
College Park
MD, 20742-4015
Tel. 301.405.5068, 510.813.2728
e-mail: cameron@math.umd.edu
web page: http://www-users.math.umd.edu/∼cameron
EDUCATION
University of California, Berkeley Berkeley, 2007
Ph. D. in Applied Mathematics
Advisor: Professor James Sethian
Dissertation: Seismic Velocity Estimation from Time Migration Velocities
Moscow Institute of Physics and Technology, Russia, 1998
M.S. in Applied Mathematics and Physics, with Honors
POSITIONS
University of Maryland, Assistant Professor of Mathematics 2010 - present
New York University, Courant Instructor 2007 - 2010
University of California, Berkeley, GSR, Graduate Fellow, GSI 2001 - 2007
The Pennsylvania State University, Graduate Fellow, GSI 2000 - 2001
Moscow State University, Russia Graduate Student 1998–2000
RESEARCH INTERESTS
1. Applied Stochastic Processes, Dynamical Systems, Methods for the study of Rare Events
2. PDE, Geophysics, Numerical Analysis, Inverse and Ill-Posed Problems
PUBLICATIONS
Finding Quasipotential for Nongradient SDE's,
M. K. Cameron, Physica D, in revision
The MaxFlux Functional: Derivation, Numerics,
and Application to the 38-Lennard-Jones Cluster,
M. Cameron, R.Kohn, and E. Vanden-Eijnden, J. Comp. Phys., to be submitted
Computing transition paths for rare events in collective variables using the MaxFlux functional and the Hamilton-Jacobi equation
M. Cameron and E. Vanden-Eijnden, SIAM MSS, in preparation
The MaxFlux Functional and the Eikonal Approximation,
M. Cameron and E. Vanden-Eijnden, Physical Review Letters, in preparation
The String Method as a Dynamical System,
Maria Cameron, Robert Kohn, and Eric Vanden-Eijnden, Journal of Nonlinear Science, 21, Number 2, pp. 193-230 (2011)
Analysis and Algorithms for a Regularized Cauchy Problem
arising from a Non-Linear Elliptic PDE for Seismic Velocity Estimation,
Cameron, M.K., Fomel, S., Sethian, J.A., J. Comp. Phys., 228, pp.7388-7411, 2009
Time-to-depth conversion and seismic velocity estimation using time-migration velocity,
Cameron, M.K., Fomel, S., Sethian, J.A., Geophysics, 73, VE205, 2008
Inverse Problem in Seismic Imaging,
Cameron, M.K., Fomel, S., Sethian, PAMM, 7, Issue 1, pp. 1024803-1024804, 2007
Seismic Velocity Estimation from Time Migration,
Maria K. Cameron, Ph.D. Thesis, ProQuest, UC Berkeley, 2007
Seismic Velocity Estimation from Time Migration,
Cameron, M. K., Fomel, S. B., Sethian, J. A., Inverse Problems, 23 , pp. 1329-1369, 2007
Seismic velocity estimation and time-to-depth conversion of time-migrated images,
Maria Cameron*, UC Berkeley; Sergey Fomel, UT Austin; James Sethian, UC Berkeley,
SEG/New Orleans 2006 Technical Program Online (SVIP 1.7)
http://abstracts.seg.org/techprog.cfm?pMeetingID=3
MENTORING
Shunxin Jiang, senior year undergraduate student, NYU
Arnav Chakravarty, junior year undergraduate student, NYU
TEACHING
University of Maryland 2010 - present
Fall 2011: Numerical Analysis I (graduate)
Fall 2010, Spring 2011: PDE (undergraduate)
New York University 2007-2010
Spring 2010: CALCULUS III
Fall 2009: REAL VARIABLES (graduate)
Spring 2009: PDE
Fall 2008: ALGEBRA AND CALCULUS
Spring 2008: STATISTICS I
Fall 2007: CALCULUS I
University of California, Berkeley 2005, 2006
Spring 2006: TA for course LINEAR ALGEBRA AND DIFFERENTIAL EQUATIONS
Spring 2005: TA for graduate course METHODS OF APPLIED MATHEMATICS
The Pennsylvania State University 2001
Summer 2001: DIFFERENTIAL EQUATIONS
Moscow State University, Russia 1999
Spring 1999: TA for course ABSTRACT ALGEBRA
Phystech College, Russia 1996-2000
Instructor for additional advanced math classes for high school students
GRANTS and AWARDS
Sloan Research Fellowship, 2011
The paper Seismic Velocity Estimation from Time Migration was selected for the highlights of 2007 by the journal Inverse Problems 2008
NSF Postdoctoral Fellowship 2007
Friedman Prize, UC Berkeley 2007
SINERGISTIC ACTIVITIES
1. Organization of Research Interaction Team, Spring 2011
"Stochastic Dynamics: Models, Analysis, and Numerics"
2. Organization of the PDE and Applied Math Seminar 2011-2012
3 ICIAM 2011, Vancouver, July 18-22, 2011
Organization of Minisymposium
"Challenges and Novel Techniques in Computational Chemistry"
TALKS
ICIAM, Vancouver, July 2011
Computing Transition paths using the MaxFlux Approximation
University of Maryland, Statistics Seminar, August 2010
Computing transition paths of rare events
Institute of Physical Science and Technology, UMD, August 2010
Computing transition paths of rare events
Cornell University August 2010
Computing transition paths of rare events
Georgia Institute of Technology August 2010
Computing transition paths of rare events
University of Texas, Austin April 2010
Computing transition paths of rare events
MIT March 2010
Computing transition paths of rare events
Harvard University February 2010
Computing transition paths of rare events
Courant Institute of Mathematical Science, NYU November 2009
Computing transition paths of rare events
NJIT October 2009
Analysis of methods for the study of rare events and transition paths
Columbia University October 2009
Analysis of methods for the study of rare events and transition paths
SIAM Geosciences, Leipzig, Germany June 2009
Analysis and Algorithms for a Regularized Cauchy Problem
arising from a Non-Linear Elliptic PDE for Seismic Velocity Estimation
IMA Workshop: Molecular Simulations: Algorithms, Analysis,
and Applications May 2009
The string Method as a Dynamical system (poster)
SIAM, San Diego July 2008
Inverse Problem in Seismic Imaging
FACM, NJIT May 2008
Inverse Problem in Seismic Imaging
University of Texas, Austin March, 2008
Seismic Velocity Estimation from Time Migration
Texas A and M University March, 2008
Seismic Velocity Estimation from Time Migration
Rensselaer Politechnic Institute February, 2008
Seismic Velocity Estimation from Time Migration
ICIAM Z ̈urich, 2007
Inverse Problem in Seismic Imaging
SEG New Orleans, 2006
Seismic Velocity Estimation and Time to Depth Conversion of Time-Migrated Images
REFERENCES
Robert Kohn, Professor of Mathematics, New York Unversity
Eric Vanden-Einden, Professor of Mathematics, New York University
James Sethian, Professor of Mathematics, U. C. Berkeley
Sergey Fomel, Associate Professor, Dept. of Geophysics, U. T. Austin