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Evelyn Sander

Professor

Office: Exploratory Hall, Room 4408

Phone: (703) 993-1490

Fax: (703) 993-1491

E-mail: esander@gmu.edu

Personal Homepage:
math.gmu.edu/~sander

Education

  • B.A., 1990, Northwestern University, Honors, Phi Beta Kappa

  • Ph.D., 1996, University of Minnesota, Dynamical Systems

Research

  • Numerical and theoretical methods of dynamical systems. This includes global bifurcations for one-, two, and three-dimensional diffeomorphisms, and finite dimensional noninvertible maps and relations. I also study differential equations modeling pattern formation in materials science, chemistry, and biology. This includes the process of spinodal decomposition in metal alloys modeled by the Cahn-Hilliard equation and animal coat pattern formation modeled by reaction-diffusion equations with Turing instabilities. It also includes modeling and analysis in computational neuroscience.

Selected Publications

  • A classification of explosions in dimension one. Ergodic Theory and Dynamical Systems to appear, with J.A. Yorke.
  • Explosions in dimensions one through three. Rendiconti del Seminario Matematico, Torino, 65(1), 2007, with K.T. Alligood and J.A. Yorke.
  • Complex transient patterns on the disk. Discrete and Continuous Dynamical Systems, Series A, 15(4):1049-1078, 2006, with J. P. Desi and T. Wanner.
  • Three-dimensional crisis: Crossing bifurcations and unstable dimension variability. Phys. Rev. Lett. 96, 244103 (2006), with K.T. Alligood and J.A. Yorke.
  • Dynamics of noninvertibility in delay equations. Discrete and Continuous Dynamical Systems Special Issue, 768-777, 2005, with E. Barreto, S. Schiff, and P. So.
  • The Structure of Synchronization Sets for Noninvertible Systems.  Chaos, 14 (2): 249-262, 2004, with K. Josic.

  • The geometry of chaos synchronization. Chaos, 13(1):151-164, 2003, with E. Barreto, K. Josic, C. Morales, and P. So.

  • Pattern Formation in a Nonlinear Model for Animal Coats. Journal of Differential Equations, 191(1):143-174, 2003, with T. Wanner.

  • Limits to the Experimental Detection of Nonlinear Synchrony. Physical Review E, 65, 2002, 046225, with P. So, E. Barreto, K. Josic, and S.J. Schiff.

  • Explosions: Global bifurcations at heteroclinic tangencies. Ergodic Theory and Dynamical Systems, 22(4):953-972, 2002, with K. Alligood and J. Yorke.

Professional Awards and Invitations

  • 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, 2010, Undergraduate research in computational mathematics (co-PI), CSUMS, DMS, NSF, $1,057,257.

  • 2008-10, Secretary/Treasurer of the SIAM Activity Group on Dynamical Systems (SIAG/DS) (Elected 2007)
  • 2008-10 Editor-in-Chief, DSWeb Magazine.
  • 2008-present, SIAM Dynamical Systems Activity Group Liason to SIAM News.
  • 2004-present, Section Chief Editor, Tutorials, DSWeb. Organized the DSWeb biennial student contest in 2005 and 2007, including presenting awards at the SIAM Conference on Applications of Dynamical Systems, Snowbird, UT.
  • Midwest Dynamical Systems Conference, Bloomington, IN, October, 2008.
  • Computational Topology and Dynamics Workshop, Bozeman, MT, August, 2008.
  • July, 2008, Association for Women in Mathematics (AWM) professional mentor for two early career women mathematicians.
  • Seminar, UMBC, Baltimore, MD, May, 2008.
  • Spring Topology and Dynamics Conference, Milwaukee, WI, March, 2008.
  • Seminar, George Washington University, Washington, DC, February, 2008.
  • Colloquium, William and Mary College, Williamsburg, VA, November, 2007.
  • Seminar, Mathematics, Marymount University, Arlington, VA, October, 2007.
  • Colloquium, Mathematisches Institut, Universität Erlangen-Nürnberg, Germany, July, 2007.
  • Seminar, Technische Universität München, Germany, July, 2007.
  • Workshop on Dynamical Systems and Applications, Banff International Research Station, June 22-24, 2007.
  • May, 2007, Association for Women in Mathematics (AWM) professional mentor for an early career woman mathematician.
  • Women in Scientific Domains, George Mason University, May, 2007.
  • From Microscopic to Macroscopic: Mechanisms Underlying Epileptic Seizures, Center for Theoretical Physics, Ann Arbor, MI, May, 2007.
  • The Diverse Universe of Model Analysis Special Session, SIAM Conference on Applications of Dynamical Systems, Snowbird, UT, May, 2007.
  • Colloquium, Bioinformatics Department, George Mason University, April, 2007.
  • Colloquium, George Mason University, April, 2007.
  • Special Session on Dynamical Systems, AMS Spring Southeastern Section Meeting, Davidson, NC, March, 2007.
  • Seminar, Center for Neural Dynamics, George Mason University, March, 2007.
  • Colloquium talk and modeling course visiting lecture, GeorgeWashingtonUniversity, February, 2007.
  • Colloquium, Virginia Tech, November, 2006.
  • Graduate student seminar, October, 2006.
  • Public lecture, Osher Lifelong Learning Institute at GeorgeMasonUniversity, October, 2006.
  • August, 2006, Academic Career Panelist, Summer Program for Women in Mathematics, George Washington University.
  • Measurable Dynamics, Theory and Applications, Banff International Research Station, August 5-10, 2006.
  • Topology in Dynamical Systems Session, Summer Conference on Topology and its Applications, Statesboro, GA, July 6-9, 2006.
  • Formation and Dynamics of Patterns in Evolution Equations, AIMS' Sixth International Conference on Dynamical Systems, Differential Equations and Applications, Poitiers, France, June 25-28, 2006.
  • Seminar, University of Augsburg, Germany, June 12, 2006.
  • Neural Dynamics Group and Graduate student seminars GeorgeMasonUniversity, April, 2006.
  • Applied Dynamics Seminar, University of Maryland, April, 2006.
  • CM/AMO Seminar, The University of Michigan, March, 2006.
  • Department Seminar, MontclairState, February, 2006.
  • Mathematical Biology Seminar, NJIT, February, 2006.
  • Applied and Computational Math Seminar, Georgia Tech, January, 2006.
  • Society for Neuroscience, November, 2005.
  • Computational Neuroscience, Madison, WI, July, 2005.
  • Pattern Formation and Wave Dynamics in the Brain, SIAM Conference on Applications of Dynamical Systems, Snowbird, UT, May, 2005.
  • MBI Young Researchers Workshop, OhioStateUniversity, March, 2005.
  • Differential Equations Seminar, University of Maryland, BaltimoreCounty, December, 2004.
  • Colloquium, SwarthmoreCollege, October, 2004.
  • GeorgeWashingtonUniversity Summer Program for Women in Mathematics, WashingtonDC, June 29, 2004.
  • Fixed Points, Periodic Orbits and EquilibriumStates in Hyperbolic Dynamics Session, 5th International Conference on Dynamical Systems and Differential Equations, Pomona, California, June 16-19, 2004.
  • Spring Topology and Dynamics Conference, Birmingham, Alabama, March 25-27, 2004.
  • Maryland-Penn State Workshop on Dynamical Systems, College Park, MD, March, 2004.
  • January 1, 2004- December 31, 2005 "A dynamical framework for transient neuronal patterns" (Principal Investigator) NIH-NIMH Grant Number R03MH67659, $140,569.

  • 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 "Starcy Gels, Sea Shells, and Animal Coats."

Students

  • Research project with doctoral student Robert Allen (advisor Flavia Colonna).

  • 2007-08 undergraduate students: Hanein Edrees and John Price, as part of the URCM program, joint with Thomas Wanner. They are presenting a poster of their results at the SIAM Annual Meeting in July, 2008.
  • Advisor, Anne Costolanski, Masters Thesis, "Explosion points in skew maps," July, 2007. She was awarded the department's outstanding graduate student award. Current doctoral students: Robert Reznick (PhD student, SCS), Richard Tatum (PhD student, SCS).

  • Advisor, Tyler White, GMU-funded undergraduate research apprenticeship, $1100 Summer, 2005, renewed $1100 Fall, 2005. He was also a research assistant. Advisor for his honors senior thesis, "A neurological model for shell pattern formation," Spring, 2006.

  • Master's Project advisor, Karen Crossin, December, 2003.

  • Robert Allen, Undergraduate Senior Thesis, 2003.

 

 

   
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