Contact Information
Department of Mathematics
University of Michigan
530 Church Street
Ann Arbor, MI 48109-1043, USA
lserrano at math.lsa.umich.edu
http://www-personal.umich.edu/~lserrano
Education
University of Michigan, Ann Arbor, 2005 to present
Candidate for a PhD in Mathematics
Advisor: Sergey Fomin
University of Waterloo, 2003 - 2005
Masters in Mathematics in Combinatorics and
Optimization
Advisor: Ian P. Goulden
University of Waterloo, 1999-2003
Bachelors of Math in Pure Mathematics with distinction
Publications
T. Kyle Petersen and Luis G. Serrano, Cyclic sieving for longest reduced words in the hyperoctahedral group. (Submitted.)
Luis G. Serrano, The shifted plactic monoid. (To appear in Math. Zeitshcrift.)
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.
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.
Luis G. Serrano, Transitive Factorizations of Permutations and Eulerian Maps in the Plane. Masters Thesis, 2005.
Awards
International Mathematical Olympiad, bronze medal, 1999; honourable
mention, 1998.
William Lowell Putnam Mathematical Competition, Top 200 Contestants, 2001, 2002.
Asian Pacific Mathematical Olympiad, gold medal, 1999, silver medal,
1998, honourable mention, 1996.
International Tournament of Towns, Honourable Mention, 1997.
Iberoamerican Mathematical Olympiad, silver medal, 1998; bronze medal,
1997.
Colombian Mathematical Olympiad, gold medal, 1999 and 1998.
Scholarships and Fellowships
University of Michigan Math Department Fellowship. 2008.
NSERC Doctoral Canada Graduate Scholarship. 2005 (declined).
NSERC Doctoral Post Graduate Scholarship. 2005.
Ontario Graduate Scholarship. 2005 (declined)
NSERC Masters Post Graduate Scholarship. 2004.
Ontario Graduate Scholarship. 2004 (declined)
Ontario Graduate Scholarship in Science and Technology. 2004.
University of Waterloo Postgraduate Scholarship. 2003, 2004
Sinclair Graduate Scholarship. 2004
William Tutte Postgraduate Scholarship. 2003
Rene Descartes Undergraduate Scholarship. 1999 - 2003
Talks
Cyclic sieving for longest reduced words in the hyperoctahedral group. AMS Sectional meeting, State College, Pennsylvania. October 2009.
The Shifted Plactic Monoid. Algebra, Geometry, and Combinatorics Seminar. University of Illinois, Urbana-Champaign. September 2009.
The Shifted Plactic Monoid. FPSAC, Hagenberg, Austria. July 2009.
The Shifted Plactic Monoid. AMS Meeting, Urbana-Champaign, Illinois. March 2009.
The Shifted Plactic Monoid. Algebraic Combinatorics Seminar, Fields Institute, Toronto, Canada. November 2008.
The Shifted Plactic Monoid. University of Michigan, Combinatorics Seminar. November 2008.
El monoide plactico y sus analogos. ALTENCOA, Bucaramanga, Colombia. July 2008.
The Shifted Plactic Monoid. Graduate Student Combinatorics Conference, Davis, California. April 2008.
Noncommutative Schur P-Functions, the Shifted Plactic Monoid, and Applications. San Francisco State University, California. April 2008.
Noncommutative Schur P-Functions and Applications. Latin American Algebra Colloquium, Medellin, Colombia. July 2007.
k-Schur Functions and the Affine Symmetric Group. University of Michigan, Student Combinatorics Seminar. Feb, 2008.
Introduction to Hyperplane Arrangements. University of Michigan, Student Combinatorics Seminar. Jan, 2008.
Symmetric Functions and the Representations of the Symmetric Group. University of Michigan, Student Representation Theory and Lie Theory Seminar. Nov, 2007.
Schubert Polynomials and the Cohomology of Flag Varieties. University of Michigan, Student Combinatorics Seminar. Sept, 2007.
Gale Diagrams. University of Michigan, Student Combinatorics Seminar, 2007
Schubert Cells and Combinatorial Aspects of the Cohomology of the Grassmannian. University of Michigan, Student Combinatorics Seminar, 2007
The Number of Ramified Covers of the Sphere. UW Department of
Combinatorics and Optimization Graduate Seminar, 2003.
An Extension of the Reflection Principle for Counting Lattice Paths. UW
Department of Combinatorics and Optimization Summer Undergraduate Research
Seminar, 2002.
Counting Point Splitting Circles. University of Waterloo, Algebraic
Combinatorics Seminar, 2002.
Spin Models and Knot Polynomials. UW Department of Combinatorics and
Optimization Summer Undergraduate Research Seminars, 2001
Combinatorial Problems Regarding Finite Sets of Points in the Plane. UW
Undergraduate Math Seminars, 1999.
Conferences Attended
American Mathematical Society Meeting. State College, Pennsylvania, October 24 to 25, 2009.
American Mathematical Society Meeting. Urbana, Illinois, March 27 to 29, 2009.
Formal Power Series and Algebraic Combinatorics. Valparaiso, Chile, June 23 to 27, 2008.
Graduate Student Combinatorics Conference. Davis, California, April 12 to 13, 2008.
Topics in Combinatorial Representation Theory. MSRI, March 17 to 21, 2008.
Introductory Workshop in Combinatorial Representation Theory. MSRI, Jan 22 to 25, 2008.
Formal Power Series and Algebraic Combinatorics. San Diego, June 19 to 23, 2006.
Workshop in Hyperplane Arrangements. August 23 to 27, 2004.
Institute of Advance Study / Park City Program in Geometric Combinatorics. Park City, Utah, July 11 to 31, 2004.
Retrospective in Combinatorics, MIT, June 22 to 26, 2004.
CMS Winter Meeting, Vancouver BC, December 6 to 8, 2003.
Experience
Graduate Student Instructor for Math 216, Differential equations
University of Michigan, Ann Arbor, Department of Mathematics, Winter 2009, Fall 2009
Graduate Student Instructor for Math 115, Calculus
University of Michigan, Ann Arbor, Department of Mathematics, Fall 2006, Fall 2007
Graduate Student Instructor for Math 105, Functions, Graphs, and Data Structures
University of Michigan, Ann Arbor, Department of Mathematics, Fall 2005
Undergraduate Research Assistant
Simon Fraser University, Department of Mathematics, Summer 2003.
Advisor: Jonathan Borwein
Undergraduate Research Assistant
University of Waterloo, Department of Combinatorics and Optimization
Advisor: Ian P. Goulden, Summer 2002
Advisor: Chris D. Godsil, Summer 2001
Teaching Assistant for Combinatorial Enumeration, Introduction to
Combinatorics (advanced level), Calculus 1 and Calculus 2 (advanced
level).
Memberships
American Mathematical Society, 2004 to present
Mensa International, 1997 to present
World University Service of Canada, 2002 to present
Personal Information
Dual Citizenship: Canada and Colombia
Fluent in English and Spanish, basic knowledge of German