Thomas Treloar:
Professor of Mathematics
Research Interests and Articles:
Sports Analytics, Ranking and Rating Methods
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An iterative Markov rating method, Journal of Quantitative Analysis in Sports, October 2020, https://doi.org/10.1515/jqas-2019-0070. (pdf)
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A network diffusion ranking family that includes the methods of Markov, Massey, and Colley, Journal of Quantitative Analysis in Sports, 14, (2018), pp 91-101. (pdf)
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Game Theory, Evolutionary Game Theory, Graph Topology, Dynamical Systems
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Evolution of cooperation through the heterogeneity of random networks (with Stephen Devlin), Physical Review E, 79, 016107 (2009). (pdf)
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Cooperation in an evolutionary prisoner's dilemma on networks with degree-degree correlations (with Stephen Devlin), Physical Review E, 80, 026105 (2009). (pdf)
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Reply to ``Comment on ` Cooperation in an evolutionary prisoner's dilemma on networks with degree-degree correlations’” (with Stephen Devlin), Physical Review E, 82, 038102 (2010). (pdf)
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Network-based criterion for success of cooperation in an evolutionary prisoner’s dilemma (with Stephen Devlin), Physical Review E, 86, 026113 (2012). (pdf)
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Symplectic Geometry, Poisson Geometry, Moduli Spaces
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The symplectic structure of polygons in the 3-sphere, Canadian Journal of Mathematics, 54, (2002), pp 30-54. (link)
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The symplectic structure of polygons in hyperbolic 3-space (with Michael Kapovich and John J. Millson), Asian Journal of Mathematics 4 (2000) (papers honoring the memory of K. Kodaira), pp 123-164. (link)
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Integrable Hamiltonian systems on moduli spaces of polygonal linkages, Ph.D. Thesis - University of Maryland, College Park (2001). (pdf)
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Classical Education
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The Purpose of Mathematics in a Classical Education, The Imaginative Conservative, August 2012. (link)
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Arithmetic: Leading the Mind Toward Truth, The Journal (A publication of the Society of Classical Learning), Fall 2013. (pdf)
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Work In Progress: Sports Analytics and Disease Spread Models
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A generating function approach to SIS and SIS-like disease spread models (with Stephen Devlin), in preparation.
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Research and Professional Pages