Elisha Peterson's Publications and Talks

Paper/Talk Tags:

altruism blaise cas catpursuit cattech cattrace central-functions character-varieties chris-arney combinatorics cooperation determinants diagrams fair-division featured fixed-points game-theory geogebra in-progress invariant-theory invited lagrange-multipliers linear-algebra mathematics-education mathlets multi-agent-systems network-science nj-symbols online optimization proceedings published pursuit-evasion real-analysis recurrence representation-theory sl2c social-networks sperners-lemma spin-networks submitted subset-team-games synergy talk technology techreport thesis trace-diagrams unpublished wikis

Paper/Talk Pages by Date:

• 2009 (13)
  • November (5)
  • October (1)
  • September (2)
  • August (1)
  • July (3)
  • March (1)
• 2008 (31)
  • December (17)
  • September (14)

Scholarly Papers and Other Written Work

[arXiv search]

Theses

• "Trace Diagrams, Representations, and Low-Dimensional Topology" , PhD Thesis at the University of Maryland (advised by Bill Goldman), 2006. PDF
• "Combinatorial Proofs of a Generalized Sperner's Lemma" , undergraduate thesis at Harvey Mudd College (advised by Francis Su), 2000. PDF

Journal Articles and Book Chapters

• "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 Social Networks: Communication, Trust, and Selflessness" (with Chris Arney), Proceedings of the 2008 Army Science Conference (chosen Best Paper in the Advanced Modeling and Simulation Category, and 3rd Best Paper Overall out of 845 abstract entries). PDF

Works under Review

• "Trace Diagrams, Signed Graph Colorings, and Matrix Minors" (with Steve Morse), accepted pending revisions. arXiv:0903.1373
• "Computing SL(2,C) Central Functions with Spin Networks" (with Sean Lawton), submitted. arXiv:0903.2372 (see also this mathematica notebook with combinatorial recurrence implementation)

Technical Reports & Unpublished Expository Work

• "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.

Talks since 2006

Trace Diagrams, Character Varieties, and Applications

Pursuit/Evasion and Cooperation

Teaching and Technology

Other