Publications

Luis Serrano

Refereed Publications

I.P. Goulden and Luis G. Serrano, A simple recurrence for covers of the sphere with branch points of arbitrary ramification, Annals of Combinatorics 10, 2006, 431-441. (pdf file)
I.P. Goulden and Luis G. Serrano, Maintaining the spirit of the reflection principle when the boundary has arbitrary integer slope, J. Combinatorial Theory (A) 104, 2003, 317-326. (pdf file)

Papers in Preparation

Luis G. Serrano, The shifted plactic monoid.

Master's Thesis

Luis G. Serrano, Transitive factorizations of permutations and Eulerian maps in the plane. Masters Thesis, 2005. (pdf file)

Slides from talks

Noncommutative P-Schur functions and applications. Given at the Coloquio Latinoamericano de Algebra in Medellin, Colombia, July 2007.

Unrefereed Papers

These are papers I've written for several classes in the past. I don't guarantee their correctness, and some graphics (ie, all) are missing, but I'll put them in anyway. The dates on them are wrong, because I just compiled them today.

Combinatorial and geometric properties of the cohomology of the Grassmannian: For Algebraic Geometry.
The edge path groupoid: For Algebraic Topology.
Cartan's theorem of maximal tori and Weil's integral formula: For Representation Theory (with Chris Hays).
4 weight spin models and representations of the braid group: For Knot Theory. Thanks to Chris Godsil and Ada Chan for teaching me this subject.
A proof of the alternating sign matrix conjecture using the Yang-Baxter equation: For Knot Theory.