Mathematical Activities
Papers:
An Alternative Technique for Proving the Aztec Diamond Theorem and Other Applications
. (For the original bare-bones version, see
New proof that the number of tilings for an Aztec diamond is 2^(n(n+1)/2)
.
Applications of Graphical Condensation for Enumerating Matchings and Tilings
.
Theoretical Computer Science
, Vol. 319/1-3 (2004) pp. 29-57. Also available in the arXiv at
http://arxiv.org/abs/math.CO/0304090
. Discusses matchings of planar bipartite graphs, Aztec diamonds, and plane partitions.
Viterbi Sequences and Polytopes
.
Journal of Symbolic Computation
,
Vol. 41 No.2 (2006) pp. 151-163
.
Also available in the arXiv at
http://arxiv.org/abs/math.CO/0401342
. Discusses Viterbi paths of Markov Chains and their combinatorial properties.
Geometry of Markov Chains.
Algebraic Statistics for Computational Biology
, ed. Lior Pachter and Bernd Sturmfels, Chapter 10.
Graphical Condensation Generalizations Involving Pfaffians and Determinants.
(preprint)
An Identity about a Generating Function Based on Plane Partitions.
Approximate Alignments in Rectangular Arrays
(draft).
Talks:
Graphical Condensation and Plane Partitions:
PDF slides
of a talk given March 1, 2004 at the
Berkeley Combinatorics Seminar
.
Viterbi Sequences and Polytopes
: Qualification Exam, April 20, 2004.
Education:
University of California, Berkeley
, Ph.D. in
Computer Science
, 2005.
Massachusetts Institute of Technology (MIT)
, B.Sc. 1999.
Programs and Research:
Ph.D. research in algebraic statistics/combinatorics advised by
Lior Pachter
Tilings Research Group
, run by
James Propp
while at MIT.
Director's Summer Program
at the Department of Defense.
Math Olympiad Summer Program
Young Scholar's Program at
Rose-Hulman Institute of Technology
Center for Talented Youth
Competitions:
The William Lowell Putnam Mathematical Competition
AHSME/AIME/USAMO
American Regional Math League (ARML)
USA Math Talent Search (USAMTS)
Mandelbrot Competition
MathCounts
Other links:
The Mathematical Assocation of America
BAD Math Day
: BAD stands for "Bay Area Discrete".
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.