Elisha Peterson's Publications and Talks
As of 2010, this page is no longer being maintained.
Paper/Talk Tags:
accepted
accessible
altruism
blaise
calculus
cas
catpursuit
cattech
cattrace
central-functions
characteristic-equation
character-varieties
chris-arney
combinatorics
cooperation
cooperative-systems
determinants
diagrams
dodgson-condensation
fair-division
featured
fixed-points
game-theory
geogebra
in-progress
invariant-theory
invited
java
lagrange-multipliers
linear-algebera
linear-algebra
lucas-gebhart
mathematics-education
mathlets
multi-agent-systems
multivariable
network-science
nj-symbols
online
optimization
photography
proceedings
published
pursuit-evasion
real-analysis
recurrence
representation-theory
selflessness
sl2c
social-networks
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 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
Technical Reports & Unpublished Expository Work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- "A Not-so-Characteristic Equation: the Art of Linear Algebra" , unpublished expository article, 2008.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
- "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
- "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
- "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