Projects: Stefan Forcey, students and collaborators.
Hamilton Mathematics Institute: Geometry and combinatorics of associativity, Dublin 2017
Clades and tubes: facets of graph associahedra and phylogenetic polytopes. Slides: [], [], []
SIAM conference on Applied Algebraic Geometry, Session on Polyhedral and Combinatorial Biology, Atlanta 2017
Recursive Linear Programming on the Balanced Minimal Evolution Polytope. [slides]
(with Logan Keefe, William Sands) Split-facets for Balanced Minimal Evolution Polytopes and the Permutoassociahedron.
Encyclopedia entry: BME polytope
Encyclopedia entry: STSP polytope
Resources: The Neighbor-Net Algorithm, Dan Levy, Lior Pachter, Section 2: The Mathematics.
A space of Phylogenetic Networks, Satyan Devadoss and Samantha Petti.
Game theory for environmental protection.
Paper: When does compromise prevent more pollution?
(with C. Clemons, J. Cossey, M. Ferrara, T. Norfolk, G. Obeng, D. Ricciardi, G. Young)
Notices of the A.M.S, 59(9), pp 1223-1234, 2012.
[ journal ]
Use excel to find games for the examples in the above paper.
D. Crawford's thesis: Minimizing Pollution Through Semi-Antagonistic Equilibrium Points.
A. Fernandes's thesis: A Carbon Credits Game, under advisor Jerzy Filar.
New work with Joe Johnson and Francesco Renna: A sequential game with monitoring.
Use excel to find games for the case of optional monitoring, after the fact.
Use wolfram alpha to solve for the four percentages in mixed equilibria.
Application to food safety:
G. Obeng's thesis.
Ideas about polyhexes, benzene, and the composihedron.