Luis Serrano

Publications

• (With T. Kyle Petersen), Cyclic sieving for longest reduced words in the hyperoctahedral group. (Submitted.)
  
  
• Luis G. Serrano, The shifted plactic monoid. (To appear in Math. Zeitshcrift.)
  
  
• (With Ian P. Goulden) A simple recurrence for covers of the sphere with branch points of arbitrary ramification, Annals of Combinatorics 10, 2006, 431-441.
  
  
• (With Ian P. Goulden) Maintaining the Spirit of the Reflection Principle when the Boundary has Arbitrary Integer Slope, J. Combinatorial Theory (A) 104, 2003, 317-326.

Unrefereed Papers

Masters Thesis

• Transitive factorizations of permutations and Eulerian maps in the plane. Masters Thesis, 2005.

Class projects (rough drafts):

• 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: (with Chris Hays) For Representation Theory.

• 4 weight spin models and representations of the braid group: For Knot Theory II.

• A proof of the alternating sign matrix conjecture using the Yang-Baxter equation: For Knot Theory I.
  

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