
Publications:
Circular planar electrical networks, Split systems, and Phylogenetic networks. [preprint] [arxiv]
Galois connections for phylogenetic networks and their polytopes. (with Drew Scalzo)
Journal of Algebraic Combinatorics, 54, pp 173203, 2021. [
preprint ] [journal] [arxiv]
Book Review: "Entropy and Diversity: The Axiomatic Approach" by Tom Leinster.
European Mathematical Society Magazine, 121, pp. 5354, 2021. [ journal ]
Phylogenetic Networks as Circuits with Resistance Distance. (with Drew Scalzo)
Frontiers in Genetics, 11, pp 117, 2020.
[journal] [arxiv]
Level1 Phylogenetic Networks and their Balanced Minimum Evolution Polytopes. (with C. Durell)
Journal of Mathematical Biology, 80, pp 12351263, 2020. [
preprint ] [ journal ] [arxiv]
Algebraic structures on graph associahedra. (with M. Ronco)
2019. [
preprint ] [submitted to journal] [arxiv]
Split Network Polytopes and Network Spaces. (with S. Devadoss, C. Durell)
Séminaire Lotharingien de Combinatoire, 82B, 2019. [
preprint ] [ proceedings ] [ extended abstract] [arxiv]
Book review: "Topics in hyperplane arrangements" by M. Aguiar and S. Mahajan.
Bulletin of the American Mathematical Society , 56 (2), pp 367372, 2019. [journal]
Species substitution, graph suspension, and graded Hopf algebras of painted tree polytopes. (with L. Berry, M. Ronco, P. Showers)
Algebraic and Geometric Topology, 19 (2), pp 1019–1078, 2019. [journal] [
preprint ] [ arXiv ]
Optimization problems in phylogenetics: Polytopes, programming and interpretation. (with G. Hamerlinck, W. Sands)
Algebraic and Combinatorial Computational Biology eds. R. Robeva, M. Macauley, pp 319350, 2018. [ book chapter ] [ arXiv ] [
preprint ]
Splitfacets for Balanced Minimal Evolution Polytopes and the Permutoassociahedron.
(with L. Keefe, W. Sands) Bulletin of Mathematical Biology
,Volume 79, Issue 5, pp 975–994, 2017. [ journal ] [ arXiv ] [
preprint ]
Facets of the Balanced Minimal Evolution Polytope. (with L. Keefe, W. Sands)
Journal of Mathematical Biology
, 73(2), pp 447468, 2016. [ journal ]
[ arXiv ] [
preprint ]
Stochastic safety radius on NeighborJoining method and Balanced Minimal Evolution on small trees (with J. Xi, J. Xie, and R. Yoshida).
Proceedings of the 10th Workshop on Uncertainty Processing., pp 217230, 2015. [ proceedings ] [ arXiv ] [ conference : program ]
Convex Polytopes from Nested Posets. (with S. L. Devadoss, S. Reisdorf, P. Showers)
European Journal of Combinatorics
43, pp 229–248, 2015. [ journal ]
[ arXiv ] [
preprint ]
Dear NSA: LongTerm Security Depends on Freedom.
Notices of the American Math Society, p7, Jan. 2014. [ journal ]
[
preprint ]
[
G+]
Indepth discussion at the ncafe,
especially here.
Recursive bijections for Catalan objects. (with M. Kafashan, M. Maleki and M. Strayer)
Journal of Integer Sequences, 16, Article 13.5.3, pp 120, 2013. [ journal ]
[ arXiv ] [
preprint ]
Cofree compositions of coalgebras. (with A. Lauve & F. Sottile)
Annals of Combinatorics,
17(1), pp 105130, 2013. [ journal ]
[ arXiv ] [
preprint ]
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 12231234, 2012.
[ journal ]
[ arXiv (soon) ] [
preprint ]
Extending the Tamari lattice to some compositions of species.
Associahedra, Tamari Lattices and Related Structures: Tamari Memorial
Festschrift.,
Progress in Mathematics, Vol. 299, pp 187210, F. MüllerHoissen, J. Pallo, J.
Marcel,
J. Stasheff (Eds.), 2012. [ book ] [ arXiv ] [
preprint ] [ contents ]
Cofree compositions of coalgebras (extended abstract). (with A. Lauve & F. Sottile)
DMTCS Proceedings, FPSAC 23, Reykjavik, Iceland. 363374, 2011.
[ journal ] [ arXiv ] [
preprint ]
Pseudograph associahedra. (with M. Carr & S. Devadoss)
Journal of Combinatorial Theory, Series A
118(7), pp 20352055, 2011. [ journal ]
[ arXiv ] [
preprint ]
Hopf structures on the multiplihedra. (with A. Lauve & F. Sottile)
SIAM Journal on Discrete Mathematics, 24(4), pp 12501271, 2010. [ journal ]
[ arXiv ] [
preprint ]
Geometric combinatorial algebras: cyclohedron and simplex. (with D. Springfield)
Journal of Algebraic Combinatorics, 32, pp 597627, 2010.
[ journal ]
[ arXiv ] [ preprint ]
New Hopf structures on binary trees. (with A. Lauve & F. Sottile)
DMTCS Proceedings,21st Formal Power Series and Algebraic
Combinatorics (Hagenberg, Austria), pp 411420 , 2009.
[ journal ] [ arXiv ] [
preprint ]
Marked tubes and the graph multiplihedron. (with S.L. Devadoss)
Algebraic and Geometric Topology, 8(4), pp 2081–2108, 2008.
[ arXiv ] [ journal ]
Convex Hull Realizations of the Multiplihedra
Topology and its Applications, 156, 326347, 2008.
[ arXiv ] [ journal ]
Quotients of the multiplihedron as categorified associahedra.
Homotopy, Homology and Applications, vol. 10(2), pp 227–256, 2008. [ arXiv ] [ journal ]
Operads in iterated monoidal categories (with J. Siehler, E. Seth Sowers)
Journal of Homotopy and Related Structures, 2, pp 143, 2007. [ arXiv ] [ journal ]
Erratum 1. [ journal ] [ copy ]
Erratum 2. [ Erratum 2 ]
Classification of braids which give rise to interchange (with F. Humes)
Algebraic and Geometric Topology, 7, pp 12331274, 2007. [ arXiv ] [ journal ]
Vertically iterated classical enrichment
Theory and Applications of Categories, 12, pp 299325, 2004. [ arXiv ] [ journal ]
Enrichment over iterated monoidal categories
Algebraic and Geometric Topology, 4, pp 95119, 2004. [ arXiv ] [ journal ]
Selected talks:
(see CV for chronology)
From the Cornell Chronicle :
In braneworld theory, the ends of strings are anchored in our brane, so the particles we see can only move within the brane.
But the particles that carry the gravitational force, known as gravitons, are closed strings  little Cheerios  and can "leak" out of the brane.
This explains why gravity is much weaker than the electromagnetic force and the strong and weak nuclear forces.
It also offers a possible explanation for the "dark matter" that astronomers need to explain why the mass of the universe
doesn't agree with the observed objects. Dark matter could be in an adjacent brane, with its gravitons leaking into ours.
over
look
Great tutorial by Matt Mongeau for writing javascript games. Here's the Pvs.P Awesome Pong variation William and I wrote using Mr. Mongeau's code: top player uses awsd, bottom uses arrows; first to 10 points wins.
Here's William's Mouseover mole game. Mouse over the mole to gain as many points as you can in 30 seconds. My high score is 229.
Work in progress: Spork Simulator. Use arrows, space to dash!
Revision Date:

