**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**

Computing the quasipotential for nongradient SDEs in 3D, Shuo Yang, Samuel F. Potter, and Maria K. Cameron, *submitted* (2018), arXiv: 1808.00562

An Ordered Line Integral Method for Computing the Quasi-potential in the case of Variable Anisotropic Diffusion, Daisy Dahiya and Maria Cameron, 2018*, *Physica D (2018) *to appear*,https://doi.org/10.1016/j.physd.2018.07.002, arXiv:1806.05321

Ordered Line Integral Methods for Computing the Quasi-potential, Daisy Dahiya and Maria Cameron, J. Scientific Computing, 75(3), 1351-1384 (2018)*, *https://doi.org/10.1007/s10915-017-0590-9, 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. 927-972*, *doi: 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, AMSC, UMD, Ph.D. 2017

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