Elisha Peterson's Publications and Talks

*As of 2010, this page is no longer being maintained.*

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**Paper/Talk Pages by Date:**

# Scholarly Papers and Other Written Work

## Theses

## Journal Articles and Book Chapters

- "Computing SL(2,C) Central Functions with Spin Networks" (with Sean Lawton), to appear in Geometry Dedicatae. arXiv:0903.2372 (see also this mathematica notebook with combinatorial recurrence implementation)
- "Trace Diagrams, Signed Graph Colorings, and Matrix Minors" (with Steve Morse),
*Involve***3**(2010), 33-66. arXiv:0903.1373 - "Using a Wiki to Enhance Cooperative Learning in a Real Analysis Course" ,
*PRIMUS*19, pp. 18-28, 2009. journal link - "Spin Networks and SL(2,C) Character Varieties" (with Sean Lawton),
*Handbook of Teichmuller Theory Volume II*(Chapter 16), 2009, Athanase Papadopoulos, ed., EMS Publishing House. arXiv: math.QA/0511271 - "Four-person envy-free chore division" (with Francis Su),
*Mathematics Magazine*75, pp. 117-122, 2002. PDF - "A polytopal generalization of Sperner's Lemma" (with Francis Su & Jesus de Loera),
*Journal of Combinatorial Theory Series A*100, pp. 1-26, 2002. PDF

## Refereed Conference Proceedings

- "Cooperation in a Network: Agent Metrics and Cooperation Space" (with Chris Arney),
*Proceedings of the 2010 Army Science Conference*. PDF - "Cooperation in Social Networks: Communication, Trust, and Selflessness" (with Chris Arney),
*Proceedings of the 2008 Army Science Conference (chosen*. PDF**Best Paper**in the Advanced Modeling and Simulation Category, and**3rd Best Paper Overall**out of 845 abstract entries)

## Works under Review

- "Unshackling Linear Algebra from Linear Notation" , submitted. arXiv:0910.1362
- "On a Diagrammatic Proof of the Cayley-Hamilton Theorem" , submitted. arXiv:0907.2364
- "n-Person Envy-Free Chore Division" (with Francis Su), submitted. arXiv:0909.0303

## Technical Reports & Unpublished Expository Work

- "Subset Team Games and Cooperation Space: Theory and Application" , technical report for the
*2009 ARL-USMA Technical Symposium*, Atlantic City, NJ. - "Cooperation in a Network: Theoretical Considerations" (with Chris Arney), technical report for the
*2009 USMA Network Science Workshop*, West Point, NY. - "Cooperation in a Network: Altruism increases Flow" (with Chris Arney), technical report for the
*2009 USMA Network Science Workshop*, West Point, NY. - "Dynamic Cobwebbing with Geogebra" , online tutorial, 2008. link
- "A mathematical formalism for selfish and altruistic cooperation in social networks" (with Chris Arney), technical report for the
*2007 USMA Network Science Workshop*, West Point, NY. PDF - "A Not-so-Characteristic Equation: the Art of Linear Algebra" , unpublished expository article, 2008. arXiv:0712.2058

## In Progress

- "Trace Diagrams and the Invariant Theory of 2x2 Matrices" , in preparation.
- "Generalized Trace Diagram Recurrences and the Computation of nj-Symbols" , in preparation.
- "Cooperation in Subset Team Games: Altruism and Selfishness" , preprint. arXiv:0907.2376

# Talks since 2006

### Trace Diagrams, Character Varieties, and Applications

- "Unshackling Linear Algebra from Linear Notation" , Davidson College Math Coffee, Feb. 9, 2010.
- "Trace Diagrams and their Applications" , Olin College Research Seminar, Feb. 5, 2010.
- "Trace Diagrams: Unshackling Linear Algebra from “Linear” Notation" , general contributed paper session, JMM, Jan 15, 2010.
- "Trace Diagrams: Unshackling Linear Algebra from Linear Notation" , Bard College Mathematics Seminar, Nov 12, 2009. PDF Slides and PDF Handout
- "Unshackling Linear Algebra from Linear Notation" , USMA Math Department Research Seminar, Sep 9, 2009. PDF Slides
- "Trace Diagram Recurrences and Central Functions of SL(2,C)-Character Varieties" , AMS Special Session on
*Geometry, Algebra, and Topology of Character Varieties*, JMM, Jan 8, 2009. PDF Slides - "Signed Graph Coloring, the Art of Linear Algebra, and a Theorem of Jacobi" (with Steve Morse), MathFest, July 31, 2008. PDF slides
- "The Character Variety's New Clothes" , AMS Session on Algebra and Number Theory, JMM 2008, Jan 7, 2008. PDF slides
- "The Art of Linear Algebra" , USMA Department of Mathematical Sciences Research Seminar, Dec 5, 2007. PDF slides and PDF handout
- "Trace Diagrams, Spin Networks, and Spaces of Graphs" , first of two invited lectures at the 7th KAIST Geometric Topology Fair in Gyeongju, Korea, July 10, 2007. PDF slides
- "Diagrammatic Central Functions" , second of two invited lectures at the 7th KAIST Geometric Topology Fair in Gyeongju, Korea, July 10, 2007. PDF slides
- "Trace Diagrams, Surfaces, and Character Varieties" , Kansas State University Mathematics Colloquium, April 15, 2007. PDF slides
- "Trace Diagrams, Surfaces, and Low-Dimensional Topology" , PhD Defense at the University of Maryland, Apr 25, 2006. PDF slides

### Pursuit/Evasion and Cooperation

- "Subset Team Games, Cooperation Space, and Pursuit-Evasion Simulations" , 2009 ARL-USMA Technical Symposium, Nov 9, 2009.
- "Cooperation in a Network: Theoretical Considerations" (with Chris Arney), USMA Network Science Workshop, West Point, NY, Oct 29, 2009. PDF slides
- "The Mathematics of Pursuit and Evasion" , USMA Math Forum, March 26, 2009. PDF slides
- "Cooperation in Social Networks: Communication, Trust, and Selflessness" (with Chris Arney), Army Science Conference, Orlando, FL, Dec 2, 2008. PPTX Slides
- "Dynamic Mathematics and Pursuit-Evasion Games" , USMA Department of Mathematical Sciences Center for Faculty Development (Colloquium), Nov 20, 2008. PDF slides and PPTX slides and Applets Page
- "The Mathematics of Altruism and Selfish Cooperation" (with Chris Arney), ARL-USMA Technical Symposium, Atlantic City, NJ, Oct 23, 2008. PPTX slides
- "Altruism and Selfish Cooperation in Social Networks" (with Chris Arney and Lucas Gebhart), USMA Network Science Workshop, Oct 16, 2008. PPTX slides
- "Cooperating Teams in Pursuit-Evasion Games" , ARL-USMA Technical Symposium, Oct 30, 2007. PPT slides
- "Social Network Optimization and Synergy in Cooperative Systems: Trust & Selflessness" , USMA Network Science Workshop, Oct 23, 2007. PPT slides

### Teaching and Technology

- "Using Data from Digital Imagery and Global Positioning Systems: Projects for Calculus" (with Frank Wattenberg), Applications Session, ICTCM, Mar. 13, 2010.
- "Java Applets for Pursuit and Evasion Games" , Military Applications Session, ICTCM, Mar. 13, 2010.
- "Multivariable Calculus Java Applets with Blaise" , MAA Session on
*Mathlets for Teaching and Learning Mathematics*, JMM, Jan 16, 2010. - "Java Mathlets with Blaise" , JMM session on
*Mathlets for Teaching and Learning Mathematics*, JMM, Jan 7, 2009. PPTX Slides and PDF Slides and Applets Page - "Dynamic Mathematics and Pursuit-Evasion Games" , USMA Department of Mathematical Sciences Center for Faculty Development (Colloquium), Nov 20, 2008. PDF slides and PPTX slides and Applets Page
- "Online Collaboration with a Wiki in Real Analysis" , session on
*Creative Uses of Emerging Technologies for Mathematics Teaching*, MathFest 2008, Aug 1, 2008. PPT slides - "Visualizing Lagrange Multipliers: a Discovery Approach to Constrained Optimization" , MAA session on Demos and Strategies with Technology that Enhance Teaching and Learning Mathematics, JMM 2008, Jan 7, 2008. PDF slides and demo page

### Other

page revision: 72, last edited: 19 Nov 2011 14:50