Computing Lyapunov Exponents using Weighted Birkhoff Averages
Evelyn Sander and James D. Meiss, Submitted, , 2024.
CV
Address
Department of Mathematical Sciences
George Mason University, MS 3F2
4400 University Drive
Fairfax, VA 22030
Research Interests
My research is on primarily in the fields of dynamical systems and mathematical visualization and design. Current dynamical work focuses on studying systems with chaos and quasiperiodicity, and on developing rigorous computational methods for bifurcation theory. Visualization work concentrates on using 3D printing to create tangible objects from abstract mathematical concepts, and to design experimental objects to test mathematical models.
Education
- Ph.D in Mathematics, University of Minnesota, 1996, R. McGehee, advisor.
- M.S. in Mathematics, University of Minnesota, 1993.
- B.A. in Mathematics, Northwestern University, 1990, Honors, Phi Beta Kappa
Employment History
- 1990-92 Teaching assistant, School of Mathematics, University of Minnesota.
- 1993-95 Employed as a mathematical writer, the Geometry Forum, an NSF funded Web site.
- 1994-96 Employed for curriculum development and teaching, the Geometry Center, University of Minnesota.
- 1996-98 Postdoctoral fellowship, Center for Dynamical Systems and Nonlinear Studies, Georgia Institute of Technology.
- 1998-2000 Visiting assistant professor, George Mason University.
- 2000-2005 Assistant professor, George Mason University.
- 2005- Member of the Center for Neural Dynamics, Krasnow Institute.
- 2005-2012 Associate professor, George Mason University.
- August 25, 2012 - Professor, George Mason University.
- 2020 - Member of the Mason Institute for Digital Innovation
Grants, Fellowships, and Awards
- 1991, 1992, 1994 summer fellowship, School of Mathematics, University of Minnesota.
- 1995-96 Louise T. Dosdall Graduate fellowship, University of Minnesota.
- January, 1999 Association for Women in Mathematics travel grant.
- August, 2000 National Science Foundation travel grant.
- Spring, 2002 College of Arts and Sciences Junior Faculty Awards in the Social Sciences and Sciences for “Noninvertibility in Biological Models.”
- Summer, 2002 Summer Research Support for Tenure Track Faculty for “Starchy Gels, Sea Shells, and Animal Coats.”
- January 1, 2004- December 31, 2006 “A dynamical framework for transient neuronal patterns” (Principal Investigator) NIH-NIMH Grant Number R03-MH67659, $140,569.
- September 1, 2006-August 31, 2010 “Mechanisms of wave propagation in neuronal tissue” (co-PI) CRCNS grant, NIH-NIMH Grant Number R01-MH79502, $1,269,896.
- September 1, 2006-August 31, 2013, Undergraduate research in computational mathematics (co-PI), CSUMS, NSF Grant Number DMS-0639300, $1,057,257.
- August 15, 2009 - July 31, 2013 “A Hybrid of Theoretical and Computational Methods for Bifurcation Analysis” (co-PI) NSF Grant Number DMS-0907818, $105,000.
- 2010-11, COS Publication Award.
- September 2012-January 2013 Long Term Visitor, Infinite Dimensional and Stochastic Dynamical Systems and Their Applications, Institute for Mathematics and Its Applications, University of Minnesota, Minneapolis.
- Fall 2014, IBM Visiting Professor, Applied Math, Brown University.
- January 2014 - June 30, 2014, “Calculus-based STEM learning through the arts,” Mason 4-VA Innovation Grant, $20,000.
- July 2014, Travel Grant, Association for Women in Mathematics, $1736.
- July 1, 2014 - June 30, 2019, “EXTREEMS-QED: Undergraduate Research in Computational and Data-Enabled Mathematics” (co-PI), NSF Grant Number DMS-1407087 $599,885.
- Fall 2018, Research Member, Hamiltonian systems, from topology to applications through analysis, Mathematical Sciences Research Institute (MSRI), Berkeley, CA.
- September 1, 2019 - August 31, 2024, Simons Collaboration Grant, “Computation and visualization of dynamical structures” $42,000.
Publications
Stability of Floating Objects at a Two-Fluid Interface
D.M. Anderson, P.R. Bishop, M. Brant, G. Castaneda Guzman, E. Sander, and G. Thomas, European Journal of Physics , 45: 055001, 2024.
Proportions of Incommensurate, Resonant, and Chaotic Orbits for Torus Maps
Evelyn Sander and James D. Meiss, Submitted, , 2024.
Resonance and Weak Chaos in Quasiperiodically-Forced Circle Maps
James D. Meiss and Evelyn Sander, Submitted, , 2024.
Cyclic Symmetry Induced Pitchfork Bifurcations in the Diblock Copolymer Model
Peter Rizzi, Evelyn Sander, and Thomas Wanner, Discrete and Continuous Dynamical Systems Series B., 29(2): 666-701, 2024.
Reliability and robustness of oscillations in some slow-fast chaotic systems
Jonathan Jaquette, Sonal Kedia, Evelyn Sander, and Jonathan Touboul, Chaos, 33, 103135(2023), 2023.
GLAMS: Graduate Learning Assistants in Mathematical Sciences
J.G. Jauchen, H. Klawa, L. Nguyen, R. R.G., E. Sander, P. Seshaiyer, and C. Thomas, Problems, Resources, and Issues in Mathematics Undergraduate Studies (PRIMUS), 33(8): 819-840, 2023.
Mathematics of Floating 3D Printed Objects
Daniel M. Anderson, Brandon G. Barreto-Rosa, Joshua D. Calvano, Lujain Nsair, and Evelyn Sander (Edited by Maria Trnkova and Andrew Yarmola), Proceedings of Symposia in Applied Mathematics (PSAPM) , 79, American Mathematical Society, 2023.
Equilibrium validation for triblock copolymers via inverse norm bounds for fourth-order elliptic operators
Peter Rizzi, Evelyn Sander, and Thomas Wanner, Communications in Nonlinear Science and Numerical Simulation, 115: 106789, 2022.
Modeling Dynamical Systems for 3D Printing
Stephen K. Lucas, E. Sander, and Laura Taalman (Edited by Mircea Pitici), The Best Writing on Mathematics 2021, Princeton University Press, 2022.
A Computer-Assisted Study of Red Coral Population Dynamics
S. Kamimoto, H.K. Kim, E. Sander, and T. Wanner, Pure and Applied Functional Analysis, 7(4): 1307-1337, 2022.
Equilibrium Validation in Models for Pattern Formation Based on Sobolev Embeddings
E. Sander and T. Wanner , Discrete and Continuous Dynamical Systems Series B, 26(1): 603-632, 2021.
Birkhoff Averages and the Breakdown of Invariant Tori in Volume-Preserving Maps
E. Sander and J.D. Meiss , Physica D, 428:133048, 2021.
Graduate Assistants supporting active learning in graduate classrooms
R. R.G., H. Klawa, C. Thomas, L. Nguyen, J. Jauchen, P. Seshaiyer, and E. Sander, On Demand, Innovations in Teaching & Learning Conference Proceedings, 13, 2021.
Birkhoff Averages and Rotational Invariant Circles for Area-Preserving Maps
E. Sander and J.D. Meiss , Physica D, 411: 132529, 2020.
Modeling Dynamical Systems for 3D Printing
Stephen K. Lucas, E. Sander, and Laura Taalman, AMS Notices, 67(11): 1692-1705, 2020.
An entry in the 3D Printing section
E. Sander (Edited by Diana Davis), Illustrating Mathematics, American Mathematical Society, 2020.
Margaret Beck, Crawford Prizewinner
E. Sander, Dynamical Systems Magazine, July, 2019.
Solving the Babylonian Problem of quasiperiodic rotation rates
S. Das, Y. Saiki, E. Sander, and J.A. Yorke, Discrete & Continuous Dynamical Systems - S, 12(8): 2279-2305, 2019.
Generalized Lorenz equations on a three-sphere
Y. Saiki, E. Sander, and J.A. Yorke, The European Physical Journal Special Topics, 226 (9) 1751-1764, 2017.
Rigorous continuation of bifurcation points in the diblock copolymer equation
J-P Lessard, E. Sander, and T. Wanner , Journal of Computational Dynamics, 4(1&2):71-118, 2017.
Quantitative quasiperiodicity
S. Das, Y. Saiki, E. Sander, and J.A. Yorke, Nonlinearity, 30(11): 4111-4140, 2017.
Validated saddle-node bifurcations and applications to lattice dynamical systems
E. Sander and T. Wanner , SIAM Journal on Applied Dynamical Systems, 15(3): 1690-1733, 2016.
Effects of polarization induced by non-weak electric fields on the excitability of elongated neurons with active dendrites
R.I. Reznik, E. Barreto, E. Sander, and P. So, Journal of Computational Neuroscience, 40(1): 27-50, 2016.
Quasiperiodicity: Rotation numbers
S. Das, Y. Saiki, E. Sander, and J.A. Yorke, Proceeding of The Foundations of Chaos Revisited: From Poincare to Recent Advancements, Chapter 7, 103-118, Springer Complexity, Switzerland, 2016.
Measuring quasiperiodicity
S. Das, C.B. Dock, Y. Saiki, M. Salgado-Flores, E. Sander, J. Wu, and J. A. Yorke, Europhysics Letters, 114(4):40005, 2016.
Degenerate nucleation in the Cahn-Hilliard-Cook model
D. Blömker, E. Sander, and T. Wanner , SIAM Journal on Applied Dynamical Systems, 15(1): 459-494, 2016.
Chaos and its manifestations
E. Sander and J.A. Yorke, SIAM News, 48(7) September, 2015.
The many facets of chaos
E. Sander and J.A. Yorke, International Journal of Bifurcation and Chaos, 25(4), 15300, 2015.
Epidemics in the presence of social attraction and repulsion
E. Sander and C.M. Topaz (editor R. Smith?), Mathematical Modelling of Zombies, University of Ottawa Press, 2014.
GMU Math MakerLab
E. Sander, Blog , , 2014.
A period-doubling cascade precedes chaos for planar maps
E. Sander and J.A. Yorke, Chaos, 23(3): 033113, 2013.
Branch interactions and long-term dynamics for the diblock copolymer model in one dimension
I. Johnson, E. Sander, and T. Wanner , Discrete and Continuous Dynamical Systems- Series A, 33(8): 3671 - 3705, 2013.
Pattern formation in a mixed local and nonlocal reaction-diffusion system
R. Tatum and E. Sander , Electronic Journal of Differential Equations, 160: 1-30, 2012.
Connecting period-doubling cascades to chaos
E. Sander and J.A. Yorke, International Journal of Bifurcation and Chaos, 22 (2): 1250022-1, 2012.
Period-doubling cascades galore
E. Sander and J.A. Yorke, Ergodic Theory and Dynamical Systems, 31(4):1249-1267, 2011.
The Dynamical Systems Track at ICIAM 2011 in Vancouver
E. Sander, Dynamical Systems Magazine, October, 2011.
The dynamics of nucleation in stochastic Cahn-Morral systems
Jonathan P. Desi, Hanein Edrees, Joseph J. Price, E. Sander, and T. Wanner, SIAM Journal on Applied Dynamical Systems, 10(2): 707-743, 2011.
Fixed points indices and period-doubling cascades
M.R. Joglekar, E. Sander, and J.A. Yorke, Journal of Fixed Point Theory and Applications, 8(1):151-176, 2010.
Period-doubling cascades for large perturbations of Henon families
E. Sander and J.A. Yorke, Journal of Fixed Point Theory and Applications, 6(1): 153-163, 2009.
A classification of explosions in dimension one
E. Sander and J.A. Yorke, Ergodic Theory and Dynamical Systems, 29: 715-731, 2009.
Noninvertibility
E. Barreto, P. So, and E. Sander, Scholarpedia, 4(8):2242, 2009.
Explosions in dimensions one through three
K.T. Alligood, E. Sander, and J.A. Yorke, Rendiconti del Seminario Matematico, Torino, 65(1): 1-15, 2007.
Complex transient patterns on the disk
J.P. Desi, E. Sander and T. Wanner , Discrete and Continuous Dynamical Systems, Series A, 15(4):1049-1078, 2006.
Three-dimensional crisis: Crossing bifurcations and unstable dimension variability
K.T. Alligood, E. Sander, and J.A. Yorke, Phys. Rev. Lett., 96(24):244103, 2006.
Dynamics of noninvertibility in delay equations
E. Barreto, E. Sander, S. Schiff, and P. So, Discrete and Continuous Dynamical Systems, 768-777, 2005.
A description of the DSWeb Tutorials Competition
E. Sander, Dynamical Systems Magazine, July, 2005.
The structure of synchronization sets for noninvertible systems
K. Josic and E. Sander, Chaos, 14(2):249-262, 2004.
Pattern formation in a nonlinear model for animal coats
E. Sander and T. Wanner , Journal of Differential Equations, 191(1):143-174, 2003.
The geometry of chaos synchronization
E. Barreto, K. Josic, C. Morales, E. Sander, and P. So, Chaos, 13(1):151-164, 2003.
Limits to the experimental detection of nonlinear synchrony
P. So, E. Barreto, K. Josic, E. Sander and S.J. Schiff, Physical Review E, 65(4):046225, 2002.
Explosions: Global Bifurcations at Heteroclinic Tangencies
K.T. Alligood, E. Sander, and J.A. Yorke, Ergodic Theory and Dynamical Systems, 22(4):953-972, 2002.
Against All Odds: Review of Women Becoming Mathematicians by Margaret Murray
E. Sander, American Scientist, January-February, 2001.
Unexpectedly linear behavior for the Cahn-Hilliard equation
E. Sander and T. Wanner , SIAM Journal on Applied Mathematics, 60(6):2182-2202, 2000.
Spinodal decomposition: A survey of recent results
S. Maier-Paape, E. Sander, and T. Wanner , International Conference on Differential Equations, 2:1288-1299, 2000.
Homoclinic tangles for noninvertible maps
E. Sander, Nonlinear Analysis, 41(1-2):259-276, 2000.
Monte Carlo simulations for spinodal decomposition
E. Sander and T. Wanner , Journal of Statistical Physics, 95(5-6):925-948, 1999.
Hyperbolic sets for noninvertible maps and relations
E. Sander, Discrete and Continuous Dynamical Systems- Series A, 5(2):339-358, 1999.
A new proof of the stable manifold theorem
E. Sander and R. McGehee, Zeitschrift für angewandte Mathematik und Physik (ZAMP), 47:497-513, 1996.
Hyperbolic Sets for Noninvertible Maps and Relations
E. Sander, PhD Thesis, University of Minnesota, 1996.
Further Geometry Forum Articles
R. Hesse and E. Sander, Geometry Center, University of Minnesota, Report GCG83, 1995.
Fractals and fractal correlations
E. Sander, L.M. Sander, and R.M. Ziff, Computers in Physics, 8(4):420-425, 1994.
Geometry Forum articles
E. Sander, Geometry Center, University of Minnesota, Report GCG69, 1994.
Talks
Computer Assisted Proofs in Applied Mathematics
Training at SLMath Summer Graduate School , Berkeley, CA
Hands-On Research in Complex Systems School
Outreach at ITCP, Trieste Italy , ITCP, Trieste Italy
AMS Eastern regional meeting
Conference at Howard University, Washington DC, Howard University, Washington DC
ICIAM
Conference at Tokyo, Japan, Tokyo, Japan
Computational Dynamics Workshop, FOCM
Conference at FOCM, Paris, France
AIM Workshop Computer assisted proofs for stability analysis of nonlinear waves
Conference at AIM, San Jose, CA
Tori and Chaos in Near-Hamiltonian Dynamics with Applications
Conference at SIAM Conference on Applied Dynamical Systems, Portland, OR
Seminar, Florida Atlantic University
Seminar at , Florida Atlantic University, Boca Raton, FL
Math Club Seminar
Outreach at Florida Atlantic University, Boca Raton, FL
Keynote Speech, Florida Women in Mathematics Day (FWIMD)
Conference at Florida Atlantic University, Boca Raton, FL
Colloquium
Colloquium at William and Mary College, Williamsburg, VA
Women Leaders in STEM Panelist
Outreach at George Mason University, Fairfax, VA
Applied Math Seminar
Seminar at Johns Hopkins University, Baltimore, MD
GMU/GA Tech Undergrad Research Seminar
Seminar at Fairfax, VA, Fairfax, VA
SIAM Annual Meeting
Conference at Pittsburgh, PA, Pittsburgh, PA
SIAM Annual Meeting Publications Panelist
Outreach at Pittsburgh, PA, Pittsburgh, PA
Dynamics, Topology, and Computations Conference
Conference at Bedlewo, Poland, Bedlewo, Poland
Dynamical Systems Seminar
Seminar at , Jagellonian University, Krakow, Poland
Dynamical Systems Seminar,
Seminar at AGJ Krakow, Poland, Krakow, Poland
UBC-UPC Seminari de Sistemes Dinàmics
Seminar at University of Barcelona, Barcelona, Spain
Geometry Seminar
Seminar at George Mason University, Fairfax VA
Women in STEM town hall panelist
Outreach at George Mason University, (Online) Fairfax VA
Graduate Seminar
Seminar at George Mason University, (Online) Fairfax, VA
Active Learning in Graduate Courses, Active Learning Workshop, Math,
Seminar at George Mason University, (Online) Fairfax, VA
Computing Quasiperiodic Tori for Hamiltonian Systems: Applications to Celestial Mechanics Minisymposium
Conference at SIAM Conference on Applications of Dynamical Systems, Online
Math Biology Seminar, GMU
Seminar at George Mason University, Online
Seminar
Seminar at Boston University, Online
Séminaire Computer-Assisted Mathematical Proofs in Nonlinear Analysis (CAMP)
Seminar at Centre de Recherches Mathématiques (sponsor), Online
Geometry Labs United Conference
Conference at The Institute for Computational and Experimental Research in Mathematics (ICERM), Online
(CANCELED) Computational Dynamics
Canceled at Conference on the Foundations of Computational Mathematics (FoCM'20), Vancouver, Canada
(CANCELED) 3DPac
Canceled at James Madison University, Harrisonburg, VA
(CANCELED) Seminar
Canceled at Boston University, Boston MA
(CANCELED) Colloquium
Canceled at , College of William and Mary, Williamsburg, VA
Mathematics Through 3D Printing
Conference at Construct3D, Rice University, Houston, TX
Invited Partipant, Illustrating Dynamics and Probability Workshop
Conference at The Institute for Computational and Experimental Research in Mathematics (ICERM), Providence RI
Seminar
Seminar at University of Houston, Houston, TX
Maker Faire NOVA booth
Outreach at George Mason University, Fairfax, VA
Numerical Measures of Chaos and Regularity Minisymposium
Conference at SIAM Conference on Applications of Dynamical Systems, Snowbird, UT
Rigorous Computational Dynamics in Infinite Dimensions
Conference at Centre de Recherches Mathematiques (CRM) 50 year anniversary program, University of Montreal, Montreal Canada
Tensor Lecture Series
Seminar at Ithaca College, Ithaca, NY
Midwest/McGehee Dynamical Systems Conference
Conference at University of Minnesota, Minneapolis, MN
Applied Dynamics Seminar
Seminar at , University of Maryland, College Park, MD
Lunch with Hamilton Seminar
Seminar at , Mathematical Sciences Research Institute, University of California Berkeley, Berkeley, CA
EXTREEMS Seminar
Seminar at George Mason University, Fairfax, VA
Introduction to 3D printing and design for three classes of 7th graders
Outreach at Lanier Middle School, Fairfax, VA
USA Science and Engineering Festival Booth for SIAM
Outreach at Washington, DC, Washington, DC
Mathematics in Motion booth
Outreach at Maker Faire NOVA, Fairfax, VA
Dynamical Systems and Nonlinear Studies Seminar
Seminar at Georgia Institute of Technology, Atlanta, GA
Topology Algebra and Dynamical Systems (TADS) Seminar
Seminar at George Mason University, Fairfax, VA
EXTREEMS Seminar
Seminar at George Mason University, Fairfax, VA
Computer Assisted Proofs in Dynamical Systems Special Session
Conference at SIAM Conference on Applications of Dynamical Systems, Snowbird, UT
Printing Dynamical Systems and Chaos Construct3D
Conference at Duke University, Durham NC
Participated in NSF Workshop On Multidisciplinary Complex Systems Research
Conference at Arlington, VA, Arlington, VA
Interactive presentation, GMU Math Circle
Outreach at George Mason University, Fairfax, VA
Academic panelist, GMU Math department professional development event
Seminar at Fairfax, VA , Fairfax, VA
3D printing interactive presentation for Centreville High School Women in STEM group
Outreach at George Mason University, Fairfax, VA
Colloquium
Colloquium at Howard University, Washington, DC
MAA Session on Methods of Engaging Math Learners with Physical Impairments
Conference at Joint Math Meeting, Atlanta, GA
Active Learning Seminar, George Mason University
Seminar at Fairfax, VA, Fairfax, VA
Applied Math Seminar, UMBC
Seminar at Baltimore County, MD, Baltimore County, MD
USA Science and Engineering Festival Booth for SIAM
Outreach at Washington, DC, Washington, DC
Interactive presentation, GMU Math Circle, George Mason University
Outreach at Fairfax, VA, Fairfax, VA
Computational Social Sciences seminar, George Mason University
Seminar at Fairfax, VA, Fairfax, VA
Special session Computational and Topological Methods in Dynamical Systems
Conference at Canadian Mathematical Society Winter Meeting, McGill University, Montreal, Quebec, Canada
What geometry tells us about coloring maps
Outreach at GMU Math Circle, George Mason University, Fairfax, VA
An introduction to 3D printing in the STEM classroom
Conference at Interactive Presentation Session (90 minutes), 2015 Innovations in Teaching & Learning (ITL) conference, George Mason University, Fairfax, VA
3D Printing Workshop for 100 middle school students
Outreach at F.O.C.U.S. Summer Camp, STEM Accelerator Program, George Mason University, Fairfax, VA
EXTREEMS Seminar, George Mason University
Seminar at Fairfax, VA, Fairfax, VA
Chaos and strange attractors Special Session, SIAM Conference on Applications of Dynamical Systems
Conference at Snowbird, UT, Snowbird, UT
3D Printing Presentation, College Day at GMU, Sponsored by GMU Association for Women in Mathematics Chapter
Seminar at Fairfax, VA, Fairfax, VA
Applied Dynamics Seminar, University of Maryland
Seminar at College Park, MD, College Park, MD
Mathematical Biology Session, AMS Fall Sectional Meeting, Temple University
Conference at Philadelphia, PA, Philadelphia, PA
REU Tutorial, George Mason University
Seminar at Fairfax, VA, Fairfax, VA
REU Summer Series, George Mason University
Seminar at Fairfax, VA, Fairfax, VA
International Conference on Dynamics of Differential Equations, Georgia Institute of Technology
Conference at Atlanta, GA, Atlanta, GA
Seminar on Dynamics and Patterns, University of Minnesota
Seminar at Minneapolis, Minnesota, Minneapolis, Minnesota
Seminar, Partial Differential Equations, Institute for Mathematics and Its Applications, University of Minnesota
Seminar at Minneapolis, Minnesota, Minneapolis, Minnesota
Colloquium, Mathematics Department, University of Minnesota
Colloquium at Minneapolis, Minnesota, Minneapolis, Minnesota
REU Summer Series, George Mason University
Seminar at Fairfax, VA, Fairfax, VA
Dynamical Systems Seminar, University of Maryland
Seminar at College Park, MD, College Park, MD
AWM Student Chapter, George Mason University
Seminar at Fairfax, VA, Fairfax, VA
SIAM Faculty Research Symposium, George Mason University
Seminar at Fairfax, VA, Fairfax, VA
Applied Topological Dynamics, Minisymposium, ICIAM
Conference at Vancouver BC, Canada, Vancouver BC, Canada
Piecewise and Low-Dimensional Dynamics, Part of the Warwick Mathematics Institute University year long symposium on Ergodic Theory and Dynamical Systems
Conference at Warwick England UK, Warwick England UK
Undergraduate Program in Computational Math Summer Seminar Series Speaker, George Mason University
Colloquium at Fairfax, VA, Fairfax, VA
Special Session The Role of Invariant Manifolds in Global Bifurcations (org. Pablo Aguirre/Steffi Hittmeyer), SIAM Conference on Applications of Dynamical Systems
Conference at Snowbird, UT, Snowbird, UT
Sonia Kovalevskya Days Speaker, George Mason University
Colloquium at Fairfax, VA, Fairfax, VA
SIAM Faculty Research Symposium, George Mason University
Seminar at Fairfax, VA, Fairfax, VA
Applied Dynamics Seminar, University of Maryland
Seminar at College Park, MD, College Park, MD
Applied and Computational Mathematics Seminar, George Mason University
Seminar at Fairfax, VA, Fairfax, VA
Seminar, University of Michigan Center for Complex Systems,
Seminar at Ann Arbor, MI, Ann Arbor, MI
Colloquium, Mathematics Department, University of Michigan
Colloquium at Ann Arbor, MI, Ann Arbor, MI
SIAG/DS, SIAG/APDE and Spanish Math Societies Joint Conference
Conference at Barcelona, Spain, Barcelona, Spain
Special Session Applications of a geometric approach to chaotic dynamics, Spring Sectional Meeting of the American Mathematical Society
Conference at St. Paul, MN, St. Paul, MN
Zombie Lecture for the George Mason University Math Club, George Mason University
Seminar at Fairfax, VA, Fairfax, VA
Special Session on Dynamical Systems, Fall Southeastern Sectional Meeting of the American Mathematical Society
Conference at Boca Raton, FL, Boca Raton, FL
Applied Dynamics Seminar, University of Maryland
Seminar at College Park, MD, College Park, MD
Applied Math Seminar, University of Delaware
Seminar at Newark, DE, Newark, DE
Chaos/Xaoc Conference, National Academy of Sciences Conference Center,
Conference at Woods Hole, MA, Woods Hole, MA
Talk for URCM/REU Summer Students, George Mason University
Seminar at Fairfax, VA, Fairfax, VA
Topological Methods for Applied Dynamics Special Session, SIAM Conference on Applications of Dynamical Systems
Conference at Snowbird, UT, Snowbird, UT
Dynamical Systems session, Spring Topology and Dynamics Conference
Conference at Gainsville, FL, Gainsville, FL
Colloquium, Hood College
Colloquium at Frederick, MD, Frederick, MD
Midwest Dynamical Systems Conference
Conference at Bloomington, IN , Bloomington, IN
Computational Topology and Dynamics Workshop
Conference at Bozeman, MT , Bozeman, MT
Applied Dynamical Systems Minisymposium, SIAM Annual Meeting
Conference at San Diego, CA, San Diego, CA
Differential Equations Seminar, UMBC
Seminar at Baltimore County, MD, Baltimore County, MD
Spring Topology and Dynamics Conference
Conference at Milwaukee, WI, Milwaukee, WI
Seminar, George Washington University
Seminar at Washington, DC, Washington, DC
Colloquium, William and Mary College
Colloquium at Williamsburg, VA, Williamsburg, VA
Seminar, Mathematics, Marymount University
Seminar at Arlington, VA, Arlington, VA
Colloquium, Mathematisches Institut, Universität Erlangen-Nürnberg
Colloquium at Erlangen, Germany, Erlangen, Germany
Seminar, Technische Universität München
Seminar at Munich, Germany, Munich, Germany
Workshop on Dynamical Systems and Applications, Banff International Research Station
Conference at Banff, Canada, Banff, Canada
The Diverse Universe of Model Analysis Special Session, SIAM Conference on Applications of Dynamical Systems
Conference at Snowbird, UT, Snowbird, UT
From Microscopic to Macroscopic: Mechanisms Underlying Epileptic Seizures, UMich Center for Theoretical Physics
Conference at Ann Arbor, MI, Ann Arbor, MI
Women in Scientific Domains, George Mason University
Seminar at Fairfax, VA, Fairfax, VA
Colloquium, Math Department, George Mason University
Colloquium at Fairfax, VA, Fairfax, VA
Colloquium, Bioinformatics Department, George Mason University
Colloquium at Fairfax, VA, Fairfax, VA
Seminar, Center for Neural Dynamics, George Mason University
Seminar at Fairfax, VA, Fairfax, VA
Special Session on Dynamical Systems, AMS Spring Southeastern Section Meeting
Conference at Davidson, NC, Davidson, NC
Colloquium talk and modeling course visiting lecture, George Washington University
Colloquium at Washington, DC, Washington, DC
Colloquium, Virginia Tech
Colloquium at Blacksburg, VA, Blacksburg, VA
Graduate Student Seminar, George Mason University
Colloquium at Fairfax, VA, Fairfax, VA
Public lecture, Osher Lifelong Learning Institute at George Mason University
Colloquium at Fairfax, VA, Fairfax, VA
Measurable Dynamics, Theory and Applications, Banff International Research Station
Conference at Banff, Canada, Banff, Canada
Academic Career Panelist, Summer Program for Women in Mathematics, George Washington University
Outreach at Washington, DC, Washington, DC
Topology in Dynamical Systems Session, Summer Conference on Topology and its Applications
Conference at Statesboro, GA, Statesboro, GA
Formation and Dynamics of Patterns in Evolution Equations, AIMS’ Sixth International Conference on Dynamical Systems, Differential Equations and Applications
Conference at Poitiers, France, Poitiers, France
Seminar, University of Augsburg
Seminar at Augsburg, Germany, Augsburg, Germany
Applied Dynamics Seminar, University of Maryland
Seminar at College Park, MD, College Park, MD
Neural Dynamics Group and Graduate student seminars, George Mason University
Seminar at Fairfax, VA, Fairfax, VA
CM/AMO Seminar, University of Michigan
Seminar at Ann Arbor, MI, Ann Arbor, MI
Mathematical Biology Seminar, NJIT
Seminar at Newark, NJ, Newark, NJ
Department Seminar, Montclair State
Seminar at Montclair, NY, Montclair, NY
Dynamics Seminar, Georgia Institute of Technology
Seminar at Atlanta, GA, Atlanta, GA
Society for Neuroscience
Conference at Washington, DC, Washington, DC
Pattern Formation and Wave Dynamics in the Brain, SIAM Conference on Applications of Dynamical Systems
Conference at Snowbird, UT, Snowbird, UT
MBI Young Researchers Workshop, Ohio State University
Conference at Columbus, OH, Columbus, OH
Computational Neuroscience
Conference at Madison, WI, Madison, WI
Differential Equations Seminar, UMBC
Seminar at Baltimore County, MD, Baltimore County, MD
Colloquium, Swarthmore College
Colloquium at Swarthmore, PA, Swarthmore, PA
George Washington University Summer Program for Women in Mathematics
Colloquium at Washington, DC, Washington, DC
Fixed Points, Periodic Orbits and Equilibrium States in Hyperbolic Dynamics Session, 5th International Conference on Dynamical Systems and Differential Equations
Conference at Pomona, California, Pomona, California
Spring Topology and Dynamics Conference
Conference at Birmingham, Alabama, Birmingham, Alabama
Maryland-Penn State Workshop on Dynamical Systems
Conference at College Park, MD, College Park, MD
Summer Conference on Topology and its Application
Conference at Washington, DC, Washington, DC
Dynamics Days
Conference at Baltimore, MD, Baltimore, MD
Pattern Formation and Diffusion-Limited Growth
Conference at Ann Arbor, MI, Ann Arbor, MI
Maryland-Penn State Workshop on Dynamical Systems
Conference at College Park, MD, College Park, MD
Differential Equations Seminar, UMBC
Seminar at Baltimore County, MD, Baltimore County, MD
Mathematical Challenges for the 21st Century
Conference at Los Angeles, CA, Los Angeles, CA
Colloquium, UMBC
Colloquium at Baltimore County, MD, Baltimore County, MD
Materials Science Seminar, NIST
Seminar at Gaitherburg, MD, Gaitherburg, MD
Contemporary Methods in Dynamics and Differential Equations, AMS Sectional Meeting
Conference at Charlotte, NC, Charlotte, NC
Nonlinear sciences seminar, George Mason University
Seminar at Fairfax, VA, Fairfax, VA
Cahn-Hilliard Equation Session, SIAM Conference on Applications of Dynamical Systems
Conference at Snowbird, UT, Snowbird, UT
Seminar, City College of New York
Seminar at New York, New York, New York, New York
Continuum Theory and Dynamical Systems Session, AMS Sectional Meeting
Conference at Gainesville, FL, Gainesville, FL
Colloquium, University of South Alabama
Colloquium at Mobile, AL, Mobile, AL
Colloquium, University of Michigan
Colloquium at Flint, MI, Flint, MI
Colloquium, James Madison University
Colloquium at Harrisonburg, VA, Harrisonburg, VA
Colloquium, Kansas State University
Colloquium at Manhattan, KS, Manhattan, KS
Colloquium, George Mason University
Colloquium at Fairfax, VA, Fairfax, VA
Colloquium, Penn State
Colloquium at Mont Alto, PA, Mont Alto, PA
AWM Workshop, AMS/MAA Joint Meeting
Conference at San Antonio, TX, San Antonio, TX
Naval Academy
Colloquium at Annapolis, MN, Annapolis, MN
Applied Dynamics Seminar, University of Maryland
Seminar at College Park, MD, College Park, MD
Topology in Dynamics Session, AMS Sectional Meeting
Conference at Winston-Salem, NC, Winston-Salem, NC
Colloquium, George Mason University
Colloquium at Fairfax, VA, Fairfax, VA
The Third Americas Conference on Differential Equations and Nonlinear Analysis
Conference at Atlanta, GA, Atlanta, GA
Global Analysis 30 Years Later
Conference at Cincinnati, OH, Cincinnati, OH
Colloquium, Temple University
Colloquium at Philadelphia, PA, Philadelphia, PA
Colloquium, Montana State University
Colloquium at Bozeman, MT, Bozeman, MT
Colloquium, California Polytechnic State University
Colloquium at San Luis Obispo, CA, San Luis Obispo, CA
AMS Sectional Meeting
Conference at Atlanta, GA, Atlanta, GA
Low Dimensional Dynamics Session, AMS Sectional Meeting
Conference at Milwaukee, WI, Milwaukee, WI
Seminar, University of Augsburg
Seminar at Augsburg, Germany, Augsburg, Germany
Seminar, University of Munich
Seminar at Munich, Germany, Munich, Germany
Seminar, University of Giessen
Seminar at Giessen, Germany, Giessen, Germany
Dynamical Systems and Nonlinear Studies Seminar, Georgia Institute of Technology
Seminar at Atlanta, GA, Atlanta, GA
Dynamical Systems and Nonlinear Studies Seminar, Georgia Institute of Technology
Seminar at Atlanta, GA, Atlanta, GA
International Workshop for Dynamical Systems and Geometry
Conference at Rio de Janeiro, Brazil, Rio de Janeiro, Brazil
Midwest Dynamical Systems Conference
Conference at Ann Arbor, MI, Ann Arbor, MI
Dynamical Systems Seminar, Northwestern University
Seminar at Evanston, IL, Evanston, IL
Colloquium, Swarthmore College
Colloquium at Swarthmore, PA, Swarthmore, PA
Dynamics Seminar, Georgia Institute of Technology
Seminar at Atlanta, GA, Atlanta, GA
Colloquium, Boston University
Colloquium at Boston, MA, Boston, MA
Software Seminar, Geometry Center
Seminar at Minneapolis, Minnesota, Minneapolis, Minnesota
Dynamics and Mechanics Seminar, University of Minnesota
Seminar at Minneapolis, Minnesota, Minneapolis, Minnesota
Noninvertible Dynamical Systems Workshop, University of Minnesota
Conference at Minneapolis, Minnesota, Minneapolis, Minnesota
Dynamics and Mechanics Seminar, University of Minnesota
Seminar at Minneapolis, Minnesota, Minneapolis, Minnesota
Dynamics and Mechanics Seminar, University of Minnesota
Seminar at Minneapolis, Minnesota, Minneapolis, Minnesota
Dynamics and Mechanics Seminar, University of Minnesota
Seminar at Minneapolis, Minnesota, Minneapolis, Minnesota
Dynamics and Mechanics Seminar, University of Minnesota
Seminar at Minneapolis, Minnesota, Minneapolis, Minnesota
Teaching
Mathematics Through 3D Printing
, GMU Fall, , 2024.
Graduate Seminar
, GMU Fall, , 2023.
Mathematics Through 3D Printing
, GMU Fall, , 2023.
Nonlinear Functional Analysis
, GMU Spring, , 2023.
Graduate Seminar
, GMU Fall, , 2022.
Partial Differential Equations
, GMU Fall, , 2022.
Mathematics Through 3D Printing
, GMU Fall, , 2022.
Launchpad Program for Incoming Grad Students
, GMU Summer, , 2022.
Graduate Seminar
, GMU Fall, , 2021.
Numerical Analysis
, GMU Fall, , 2021.
Mathematics Through 3D Printing
, GMU Fall, , 2021.
Numerical Analysis II
, GMU Spring, , 2021.
Numerical Analysis
, GMU Spring, , 2021.
Linear Analysis
, GMU Fall, , 2020.
Mathematics Through 3D Printing
, GMU Fall, , 2020.
Measure and Integration
, GMU Spring, , 2020.
Multivariable Calculus
, GMU Spring, , 2020.
Mathematics Through 3D Printing
, GMU Fall, , 2019.
Elementary Differential Equations
, GMU Fall, , 2019.
Applied Math
, GMU Spring, , 2019.
Elementary Differential Equations
, GMU Spring, , 2019.
Elementary Differential Equations
, GMU Spring, , 2018.
Partial Differential Equations
, GMU Fall, , 2017.
Elementary Differential Equations
, GMU Fall, , 2017.
Modern Applied Math
, GMU Spring, , 2017.
Elementary Differential Equations
, GMU Spring, , 2017.
Ordinary Differential Equations
, GMU Fall, , 2016.
Multivariable Calculus
, GMU Fall, , 2016.
Mathematics Through 3D Printing
, GMU Spring, , 2016.
Integral Calculus
, GMU Spring, , 2016.
Linear Analysis
, GMU Fall, , 2015.
Partial Differential Equations
, GMU Fall, , 2015.
Multivariable Calculus
, GMU Spring, , 2015.
Honors Integral Calculus
, GMU Spring, , 2015.
Modern Applied Mathematics II
, GMU Spring, , 2014.
Honors Integral Calculus
, GMU Spring, , 2014.
Linear Analysis
, GMU Fall, , 2013.
Partial Differential Equations
, GMU Summer, , 2013.
Dynamical Systems
, GMU Spring, , 2013.
Honors Integral Calculus
, GMU Spring, , 2013.
Partial Differential Equations
, GMU Summer, , 2012.
Applied Math
, GMU Spring, , 2012.
Honors Integral Calculus
, GMU Spring, , 2012.
Ordinary Differential Equations
, GMU Fall, , 2011.
Differential Calculus
, GMU Fall, , 2011.
Dynamical Systems
, GMU Spring, , 2011.
Differential Calculus
, GMU Spring, , 2011.
Ordinary Differential Equations
, GMU Fall, , 2010.
Algebra
, GMU Spring, , 2010.
Numerical Analysis
, GMU Fall, , 2009.
Partial Differential Equations
, GMU Summer, , 2009.
Numerical Analysis II
, GMU Spring, , 2009.
Graduate Seminar
, GMU Spring, , 2008.
Linear Analysis
, GMU Fall, , 2008.
Introduction to Probability and Statistics
, GMU Fall, , 2008.
Partial Differential Equations
, GMU Summer, , 2008.
Advanced Methods in Applied Math
, GMU Spring, , 2008.
Graduate Seminar
, GMU Spring, , 2007.
Partial Differential Equations
, GMU Fall, , 2007.
Dynamical Systems
, GMU Spring, , 2007.
Ordinary Differential Equations
, GMU Fall, , 2006.
Multivariable Calculus
, GMU Spring, , 2006.
Mathematical Biology
, GMU Fall, , 2005.
Dynamical Systems
, GMU Spring, , 2005.
Multivariable Calculus
, GMU Fall, , 2004.
Advanced Calculus II
, GMU Spring, , 2004.
Advanced Calculus I
, GMU Fall, , 2003.
Multivariable Calculus
, GMU Fall, , 2003.
Ordinary Differential Equations
, GMU Fall, , 2002.
Multivariable Calculus
, GMU Fall, , 2002.
Partial Differential Equations
, GMU Fall, , 2001.
Introductory Calculus with Business Applications
, GMU Fall, , 2001.
Differential Calculus
, GMU Spring, , 2001.
Numerical Analysis
, GMU Fall, , 2000.
Linear Algebra
, GMU Fall, , 2000.
Differential Equations
, GMU Spring, , 2000.
Introduction to Probability and Statistics
, GMU Spring, , 2000.
Integral calculus
, GMU Fall, , 1999.
Quantitative Reasoning
, GMU Fall, , 1999.
Numerical Analysis
, GMU Spring, , 1999.
Differential Calculus
, GMU Spring, , 1999.
Integral calculus
, GMU Fall, , 1998.
Quantitative Reasoning
, GMU Fall, , 1998.
Calc 2
, Georgia Tech Spring, , 1998.
Technology in the Geometry Classroom
, Georgia Tech Fall, , 1997.
Calc 1
, Georgia Tech Fall, , 1997.
Service and leadership
- Currently signed in to 43 different slack teams