CV


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://www2.math.umd.edu/~mariakc/ 


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 


Ordered Line Integral Methods for Computing the Quasi-potential, Daisy Dahiya and Maria Cameron, J. Scientific Computing, submitted June 2017,  ArXiv: 1706.07509

Modeling Aggregation Processes of Lennard-Jones Particles via Stochastic Networks, Yakir Forman and Maria Cameron, J. Statistical PhysicsJ. Statistical Physics  168(2), 408-433 (2017)DOI: 10.1007/s10955-017-1794-y, ArXiv: 1612.09599

A Graph-Algorithmic Approach for the Study of Metastability in Markov Chains,  Tingyue Gan and Maria Cameron, J. Nonlinear Science,Vol. 27, 3, (June 2017), pp. 927-972doi: 10.1007/s00332-016-9355-0, ArXiv: 1607.00078

Spectral Analysis ans Clustering of Large Stochastic Networks. Application to the Lennard-Jones-75 cluster, M. Cameron and T. Gan, Molecular Simulation 42 (2016), Issue 16: Special Issue on Nonequilibrium Systems,  1410-1428, doi: 10.1080/08927022.2016.1139109 ArXiv: 1511.05269


QPot: An R package for stochastic differential equation quasi-potential analysis

B. Nolting, C. Moore, C. Stieha, M. Cameron, K. Abbott, R Journal 8, 2, December 2016, ArXiv: 1510.07992v1


Metastability, Spectrum, and Eigencurrents of the Lennard-Jones-38 Network,    M. Cameron, J. Chem. Phys. (2014) 141, 184113


Computing the Asymptotic Spectrum for Networks Representing Energy Landscapes using the Minimal Spanning Tree, M. Cameron, Networks and Heterogeneous Media (2014) vol. 9,  number 3, Sept. 2014


Flows in Complex Networks: Theory, Algorithms, and Application to Lennard-Jones Cluster Rearrangement, M. Cameron and E. Vanden-Eijnden, Journal of Statistical Physics (2014) 156, 3, 427-454 (2014)  


Computing Freidlin's cycles for the overdamped Langevin dynamics. Application to the Lennard-Jones-38 cluster, M. K. Cameron, Journal of Statistical Physics, (2013), 152, 3, 493-518 (2013) (DOI) 10.1007/s10955-013-0770-4

http://www.springerlink.com/openurl.asp?genre=article&id=doi:10.1007/s10955-013-0770-4 


Estimation of reactive fluxes in gradient stochastic systems using an analogy with electric circuits,

M. K. Cameron, Journal of Computational Physics, 247, pp. 137-152 (2013)

http://dx.doi.org/10.1016/j.jcp.2013.03.054


Finding the Quasipotential for Nongradient SDEs,

M. K. Cameron, Physica D, Nonlinear Phenomena, 241 (2012), pp. 1532-1550

http://dx.doi.org/10.1016/j.physd.2012.06.005


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)  


DATASETS AND SOFTWARE

LJ6-14 aggregation/deformation network: dataset and software package is available at https://www.math.umd.edu/~mariakc/lennard-jones.html. It contains the dataset for the LJ6-14 aggregation-deformation network and a collection of MATLAB codes used for its creation

B. Nolting, C. Moore, C. Stieha, M. Cameron, K. Abbott, QPot: An R package for stochastic differential equation quasi-potential analysis, Available at https://www.cran.r-project.org/, can be found by the submission date: 10/23/2015



MENTORING 

Tingyue Gan, graduate student, ECE UMD

Daniel Lichy, undergraduate  student, UMD

Ariel Hafftka, graduate student, UMD, Mathematics

Ian Johnson, graduate student, UMD, Mathematics

Joshua Parker, graduate student, UMD, Physics

Shunxin Jiang, senior year undergraduate student, NYU 

Arnav Chakravarty, junior year undergraduate student, NYU 


TEACHING 

University of Maryland 2010 - present 

Spring 2016: Scientific Computing II, AMSC/CMSC661

Fall 2015: Scientific Computing I, AMSC/CMSC660

Spring 2015: Stochastic Methods, MATH858T, (graduate, special topic)

                     Introduction to Linear Algebra, MATH 240 

Fall 2014: Introduction to Numerical Analysis, AMSC466 (undergraduate)

                   Linear Algebra, MATH405 (undegraduate)

Spring 2014: Numerical Analysis II, AMSC 667 (graduate)

Fall 2013: Introduction to Numerical Analysis, AMSC466 (undergraduate)

                   ODE, MATH 246, (undergraduate)

Spring 2013: Numerical Analysis, AMSC466 (undergraduate)

                     ODE, MATH 246, (undergraduate)

Fall 2012: Numerical Analysis I, AMSC 666 (graduate)

Spring 2012: Numerical Analysis II, AMSC 667 (graduate)

Fall 2011: Numerical Analysis I, MASC 666 (graduate)

Fall 2010, Spring 2011: PDE, MATH 462 (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 


NSF CAREER (2016 - 2020)

DARPA YFA (2012-2014)

NSF Computational Mathematics, (2012-2015)

Sloan Research Fellowship, (2011-2013)

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 

Co-organizer (with Jonathan Weare, Jianfeng Lu, Tiejun Li, and Xiang Zhou): Minisymposium on “Rare Events in Complex Physical Systems”, International Congress for Industrial and Applied Mathematics (ICIAM), Beijing, 2015

Co-organizer (with K. Spiliopoulos) of the mini-symposium in SIAM Annual Meeting, San Diego, 2013  "Metastability: New Developments, Theory and Numerics" 

Organization of Research Interaction Team, Spring 2012 "Aspects of Statistical Mechanics  with Applications"

Organization of Research Interaction Team, Spring 2011 "Stochastic Dynamics: Models, Analysis, and Numerics"

Organization of the PDE and Applied Math Seminar 2011-2012 

Organization (with J. Weare) of mini-symposium in ICIAM 2011, Vancouver,  July 18-22, 2011  "Challenges and Novel Techniques in Computational Chemistry"


TALKS 

SIAM DS 2017, Snowbird, Utah, May 21-25 2017. Talk: Modeling aggregation and dynamics of interacting particles via stochastic networks

CAM colloquium, Cornell University, Sept. 30, 2016, Talk: Modeling the Dynamics of Interacting Particles by means of Stochastic Networks 

John Hopkins University, Data Seminar, Oct. 12, 2016, Talk: Modeling the Dynamics of Interacting Particles by means of Stochastic Networks

AIMS conference, Orlando, July 2016. Talk: A graph-algorithmic approach for the study of metastability in Markov chains with exponentially small transition rates

FACM conference, NJIT, June 2016. Talk: A graph-algorithmic approach for the study of metastability in Markov chains with exponentially small transition rates

SIAM Uncertainty Quantification, Lausanne, Switzerland, April 5-8, 2016. Talk: A graph- algorithmic approach for finding characteristic timescales in Markov chains with exponentially small transition rates 

Warwick University, UK, Workshop “Fluctuation-driven phenomena in nonequilibrium statistical mechanics”, Sept. 21, 2015, Talk: "Spectral Analysis of Stochastic Networks”

Telluride, Colorado, Workshop: "Energy Landscapes”, July 1, 2015, Talk: "Algorithms for spectral analysis of networks representing energy landscapes"

ICERM Workshop “Small clusters, polymer vehicles, and unusual minima”, March 18, 2015, Talk: Metastability, Spectrum, and Eigencurrents of Networks Representing Energy Landscapes

NIH seminar, January 23, 2015, Talk: Metastability, Spectrum, and Eigencurrents of Networks Representing Energy Landscapes

LDEO seminar, Columbia University, October 15, 2014, Talk: Seismic Velocity Estimation from Time Migration

Durham University, Durham, England, UK. Workshop “Energy Landscapes: From Single Molecules to Soft Matter”. Aug. 15-21, 2014. Talk: Is the Lennard-Jones-38 network metastable?

ICMS, Edinburgh, Scotland, UK. Workshop "Computational methods for statistical mechanics - at the interface between mathematical statistics and molecular simulation", June 2-6, 2014. Talk: Analysis tools for networks representing energy landscapes.

SIAM Uncertainty Quantification, March 31- Apr. 3, 2014, Savannah, GA. Talk: "Analysis of Lennard- Jones-38 network at temperatures from zero up to the melting point" 

IPST, UMD, Informal Statistical Physics seminar, Sept. 30, 2014, Talk: Metastability, Spectrum, and Eigencurrents of Networks Representing Energy Landscapes

UC Berkeley, May 7, 2014. Talk: Computing the asymptotic spectrum for networks representing energy landscapes

National University of Singapore, Workshop on Modeling Rare Events in Complex Systems, Nov. 5-8
Finite temperature analysis of stochastic networks

Cornell University, Sept. 21, 2013
Computational tools for the analysis of rare transitions in stochastic networks

SIAM Annual Meeting, San Diego, July 2013,   Dijkstra-like methods for the study of rare events 

 Duke University, May 6, 2013
Analysis of the Lennard-Jones-38 stochastic network

 NSF Workshop “Advanced Statistical Methods for Underground Seismic Event Monitoring and Verification”, Arlington, VA, March 7, 2013

Seismic velocity estimation from time migration

 University of Chicago, Jan. 24, 2013

Dijkstra-like methods for the study of rare events 25. George Washington University, Nov. 8, 2012

Computing Transition Paths in Stochastic Systems 24. George Mason University, Sept. 21, 2012

Computing Transition Paths in Stochastic Systems 23. University of Maryland, Baltimore County, Feb. 2012

Computational methods for the study of rare events
 SAMSI workshop “Simulation of Rare Events”, Feb. 13-14 2012

Finding the quasipotential for nongradient SDEs 21. American University, December 2011

Computational methods for the study of rare events
 Symposium “Kavli Frontiers in Science”, UC Irvine , October 2011

Finding the quasipotential for nongradient SDE’s28. Duke University, May 6, 2013

Analysis of the Lennard-Jones-38 stochastic network

 NSF Workshop “Advanced Statistical Methods for Underground Seismic Event Monitoring and Verification”, Arlington, VA, March 7, 2013
Seismic velocity estimation from time migration

University of Chicago, Jan. 24, 2013

Dijkstra-like methods for the study of rare events 25. George Washington University, Nov. 8, 2012

Computing Transition Paths in Stochastic Systems 24. George Mason University, Sept. 21, 2012

Computing Transition Paths in Stochastic Systems 23. University of Maryland, Baltimore County, Feb. 2012

Computational methods for the study of rare events
SAMSI workshop “Simulation of Rare Events”, Feb. 13-14 2012, Finding the quasipotential for nongradient SDEs  

American University, December 2011, Computational methods for the study of rare events

Symposium “Kavli Frontiers in Science”, UC Irvine , October 2011, Finding Quiasipotential for nongradient SDEs (poster)

ICIAM, Vancouver, July 2011, Finding the quasipotential for nongradient SDE’s

 University of Maryland, Statistics Seminar, August 2010, Computing Transition paths using the MaxFlux Approximation,

Institute of Physical Science and Technology, UMD, August 2010 Computing transition paths of rare events I

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 Zurich, 2007, Inverse Problem in Seismic Imaging 

SEG New Orleans, 2006, Seismic Velocity Estimation and Time to Depth Conversion of Time-Migrated Images 


 Copyright 2010, 2015 , 2017 by Maria Cameron