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17 Jun ' 16:23
This page is no longer maintained. See http://elishapeterson.wikidot.com or contact me at triathematician (at) gmail.former (2006-2010) -
02 May ' 05:23
- "Trace Diagrams, Matrix Minors, and Determinant Identities" with Steve Morse, 3, 33-66. [, arXiv: ]
- "Spin networks and SL(2,C)-character varieties", with Sean Lawton, Chapter 16 of , edited by Athanase Papadopoulos, EMS Publishing House, 2009. [, arXiv: ]
- "Cooperation in Social Networks: Communication, Trust, and Selflessness", with Chris Arney, Proceedings of the 2008 Army Science Conference.Awarded Bronze Award for one of top 3 overall conference papers []
- "Trace Diagrams, Representations, and Low-Dimensional Topology", PhD Thesis, University of Maryland College Park, 2006. []
- 100 (2002), 1-26. []
- "Combinatorial Proofs of Generalizations of Sperner's Lemma", BS Thesis, Harvey Mudd College, 2000. [PDF]
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25 Mar ' 11:29
Student Research:
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ParameterPlotter: plots several types of mathematical functions with automatically-generated dynamic parameters. See screenshot at right.
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23 Mar ' 18:01
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Parameter plotters: plots mathematical functions with automatically-generated
dynamic parameters!
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22 Mar ' 07:29
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19 Mar ' 11:06
- Trace diagrams and their application to geometry, linear algebra, and moduli spaces
Publications
Selected Publications
See also this complete listTalks
Talks on Trace Diagrams
Applets & Code
Most of my applets have been created using a Java library for creating interactive mathematics applets. A vastly modified version of blaise is under development, with new applets to be posted soon.Classroom Applets
- Blaise Applets: a few dozen applets geared towards teaching applications, including lots of plotters, a Stoke's theorem visualization, and some particle-based vector field visualizations.
- Geogebra applets: a dozen or so applets for calculus, vectors, and real analysis.
Research Applets
- Pursuit Games: a few applets for exploring pursuit & evasion games.
- Geometric Cooperation: algorithms for distributing points evenly within a polygon.
- Network Flow: comparison of algorithms for distributing information across a simple network.
- an applet for exploring more general pursuit-evasion games (see also the ).
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03 Mar ' 13:35
Assistant Professor &
Davies Postdoctoral Fellow Dept. of Mathematical Sciences
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23 Feb ' 08:01
- Applet for investigating network flow.
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17 Feb ' 11:53
- Applet for distributing points in a polygon (requires download).
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05 Feb ' 18:48
- ).
- ).
- ).
- ).
- , Bard College Colloquium, 12-Nov-09. See also this handout.
- "Cooperation in a Network: Theoretical Considerations" PDF, USMA Network Science Workshop, 29-Oct-09.
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