Combinatorics: Ordered Sets (Geometric Representations, Comparability Invariants,
Recognition Algorithms), Combinatorial Geometry and Polytope Representations, Graph Theory (Hypergraph Spectral Theory), Algebraic Combinatorics, Mathematical Psychology and Studies of Measurement
EmploymentExperience
Assistant Professor of Mathematics Whitman College, Walla Walla, Washington August 2003-Present
Collaborateur Scientifique Universite Libre de Bruxelles, Brussels, Belgium October 2005-October 2007
Education
Ph.D., Mathematics, Dartmouth College, Arts and Science Graduate School,
June 2003; dissertation advisor, Professor Kenneth Bogart; thesis topic: Geometric
representations of
(n,i,f) tube orders, unit and non-unit results, triangle orders and graphs, comparability invariance
results.
Master of Arts, Mathematics, Dartmouth College, June 2000
Bachelor of Arts, Mathematics and History with Distinction in Mathematics, Colorado
College, 1997
Budapest Semesters in Mathematics Budapest, Hungary, Fall 1996
AcademicPublications
"Constructing isospectral non-isomorphic digraphs from hypergraphs" (with Christopher Storm), submitted to the Journal of Graph Theory
"Invariants on primary abelian groups and a problem of Nunke" (with Patrick Keef), submitted to the Journal of Algebra
"The Representation Polyhedron of a Semiorder" (With Jean-Paul Doignon and Samuel Fiorini), accepted to Discrete Mathematics and Theoretical Computer Science
"Semiorders and Riordan Numbers" (With Jacob Menashe), Journal of Integer Sequences, vol 10, article 07.7.6
"A Finite Non-Unit Free Triangle Order" (with Ken Bogart), Order, vol 23, p37-49 (2006)
"A Non-Unit Free Tetrahedron Order" (with Ashifi Gogo), Congressus Numerantium, vol 177, p. 183-200 (2005)
"Simple Inductive Proofs of the Fishburn and Mirkin Theorem and Scott-Suppes Theorem", (with Ken Bogart)
Order, vol 20 p.49-51 (2003)
"Permutations, Scramblings, and Derangements" (with Eric Farmer and Jamie Kawabata), Rose Hulman
Technical Report MSTR 97-03, (1997)
"Knight's Tours and Magic Squares" (with John J. Watkins), Congressus Numerantium, vol 120 p.23-32
(1996)
OtherPublications
"Extra Credit", Whitman Magazine, March 2008
TalksandPresentations
Vertices and Facets of the Semiorder Polyhedron
Thirty-Eighth International Conference on Combinatorics, Graph Theory, and Computing, Boca Raton, FL, March 2007
DIMACS Workshop on the Polyhedral Combinatorics of Random Utility, Rutgers, NJ May 2006
Counting Semiorders (with Jacob Menashe)
Poster Session: Mount Baldy Conference on Enumerative Combinatorics, Harvey Mudd College, CA, October 2006
What's the Difference? Measurement and Ordered Sets
Faculty Forum-Whitman College February 2006
Geometric Representations of Ordered Sets
Invited Address: Incidence Algebra Seminar, University of Ghent, Belgium, November 2005
Algorithms Seminar: Universite Libre de Bruxelles, Brussels, Belgium, October 2005
MAA-AMS Joint Meetings, Special Session on Lattices and Ordered Sets, Baltimore, MD, January 2003
Invited Lecture, Fitchburg State College, November 2002
Graduate Student Seminar, Dartmouth College, November 2002
Being a Unit Triangle Order is a Comparability Invariant
Thirty-Sixth International Conference on Combinatorics, Graph Theory, and Computing, Boca Raton, FL, March 2005
A Finite Non-Unit Free Triangle Order
MAA-AMS Joint Meetings, Special Session on Lattices and Ordered Sets, Phoenix, AZ, January 2004
Thirty-Fifth International Conference on Combinatorics, Graph Theory, and Computing, Boca Raton, FL, March 2004
Results on Non-Unit Free Triange Orders
Thirty-Third International Southeast Conference on Combinatorics, Graph Thory, and Computing, Boca
Raton, FL, March 2002
SIAM Conference on Discrete Mathematics, San Diego, CA, August 2002
Non-Unit Examples of (n,i,f) Tube Orders
MAA-AMS Joint Meetings, San Diego, CA, January, 2002.
Elementary Proofs of Classic Theorems
Rocky Mountain Section of the MAA, April 2004
Dartmouth College Graduate Student Seminar, February 2002
On a Conjecture of Ringel
Dartmouth College Graduate Student Seminar, October 2001
Permutation and Specht Modules
Dartmouth College Graduate Student Seminar, November, 2000
Permutations, Derangements, and Scrambings
Rose Hulman Conference on Undergraduate Mathematics, March 1997
MAA-AMS Joint Meetings, San Diego, CA, January 1997
Knight's Tours and Magic Squares
Rocky Mountain Section meeting of the MAA, April 1996
Rose Hulman Conference on Undergraduate Mathematics, Terre Haute, IN, March 1996
Twenty-Seventh International Southeast Conference on Combinatorics, Graph Theory, and Computing,
Baton Rouge, LA, February 1996
PEW Conference on Undergraduate Research in the Sciences, University of Chicago, November 1995
TeachingExperienceWhitman College (2003-Present)
Assistant Professor: Courses taught include Single and Multivariable Calculus, Introduction to Mathematical Thinking (course for nonscientists), Calculus Laboratory, Introduction to Higher Mathematics, Linear Algebra, Combinatorics and Graph Theory, First and Second Semester Abstract Algebra, and Senior Project. Coordinated Independent Studies in Game Theory, Knot Theory, and Fourier Analysis. Supervised projects in Enumerative Combinatorics, Tableaux Theory, and Matroid Theory. Developed a course in Problem Solving (Putnam Exam Preparation).
Dartmouth College (1998-2003)
Full Instructor: Finite Mathematics, Graph Theory, Linear Algebra (Honors Section). Tutor: Single and Multivariable
Calculus, Differential Equations, Mathematics and Biology. Coordinated an independent study in
Combinatorics. Advised on a senior thesis on Graph Theory and Matroids.
Colorado College
Paraprofessional (1997-98) Teaching assistant for Calculus I-III, Discrete Mathematics,
Probability and Statistics, Abstract Algebra I-II, Analysis I-II, Complex Variables, History of
Mathematics, Upper Level Probability. Social events coordinator for the Mathematics Department.
Private Tutor (1993-97) Led nightly problem sessions for students in all levels of
mathematics. Individually tutored students from elementary school through college.
RelatedExperienceGraduate Advisor (1999-2003)
Dartmouth College Office of Residential Education. Lived in residence with students as an academic
advisor. Individually mentored students on topics including post-graduation options, internships and
research opportunities, graduate school applications, undergraduate academic issues. Organized campus wide
programs for students on various academic and social topics. Assisted in leading a cluster staff and
organizing hall-wide programs.
San Luis Valley Program (1995-2001)
Assistant Director: Worked with students from Southern Colorado and Northern New Mexico in a
two-week bridge program at Colorado College. Students attended classes in mathematics, writing,
computers, and the arts. Organized and lectured daily to students on topics including calculus, graph
theory, combinatorics, and geometry. Lived in residence with students, organized academic and social
programs for them. Maintained mentorships with students after the program as they faced college
decisions.
ProfessionalAssociations
Reviewer for the Journal of Mathematical Psychology, Reviewer for the Journal of Mathematics and Social Science, Reviewer for Discrete Optimization
Member of American Mathematical Society, Mathematical Association of America, Society for Mathematical Psychology, Institute for Combinatorics and its Applications
Phi Beta Kappa-Whitman College, Chapter President, May 2005-May 2008
Barry Goldwater Scholarship, Faculty Representative
Accreditor, Northwest Commission on Colleges and Universities, 2007-Present
HonorsandAwards:
A. E. Lange Award for Distinguished Science Teaching, Whitman College, May 2007
Associate Fellow, Institute of Combinatorics and its Applications, 2007-Present
Baccalaureate Address-Whitman College, May 2006
Louis B. Perry Research Award, Summer 2006 (with Jacob Menashe)
Prix d'Ouverture Internationale, Universite Libre de Bruxelles, 2005
Project NExT Leitzel Fellow, 2003-2004
Filene Graduate Student Teaching Award, 2003
Dolores Zohrab Liebmann Fellowship, 2000-2003
Phi Beta Kappa, 1997-Present
Florian Cajori Prize in Mathematics, 1997
Barry Goldwater Scholar, 1996-7
LanguagesandComputers:
Proficient in French. Fair in Hungarian and Italian.
Familiar with Microsoft Windows, Mac OSX, Adobe Illustrator, Maple, LaTeX, and HTML
Interests:
Duplicate Tournament Contract Bridge (ACBL Life Master and Certified Club Director), Running, Travel, History
References:
Available Upon Request
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