Blair Dowling Sullivan
July 2008: Please note that I've moved!
Oak Ridge National Laboratory
P.O. Box 2008 MS6015
Oak Ridge, TN 37831-6015
Email: sullivanb(at)ornl(dot)gov
Phone: 865 241 0250
Affiliations:
R&D Staff, Computer Science & Mathematics Division,
Oak Ridge National Laboratory, July 2008-present.
Graduate student, Mathematics Ph.D. Program, Princeton University, (Sept 2003 - June 2008).
Visiting Researcher, Renyi Institute, Budapest, Hungary (Nov 2007 - Apr 2008).
Intern, Theory Group, Microsoft Research, Redmond, WA (June - Sept 2007).
Research:
Discrete Mathematics and Combinatorics, primarily Graph Theory.
Recent work focused in extremal directed graph theory, on questions related to the Caccetta-Haggkvist Conjecture.
Ph.D. advisor: Paul Seymour.
Research Papers (Abstracts available as a PDF):
"Extremal Problems in Digraphs", Ph.D. thesis, Princeton University, May 2008.
"Heights in Finite Projective Space, and a Problem on Directed Graphs", with Melvyn B. Nathanson, Integers, 8:A13, 2008.
"Counting Paths in Digraphs"", with Paul Seymour, submitted.
"Cycles in Dense Digraphs", with Maria Chudnovsky and Paul Seymour, Combinatorica 28(1):1-18, 2008.
"A Summary of Results and Problems Related to the Caccetta-Haggkvist Conjecture"From ARCC-AIM Workshop on the Caccetta-Haggkvist Conjecture in January, 2006, see AIM Preprint 2006-13.
" Series Classes and Primes in Graphs," submitted.
Talks Available Online:
"Extremal Problems in Digraphs", Thesis Defense - Princeton University, May 2008.
"Dense Triangle-Free Digraphs", Microsoft Research Theory Group, April 2007.
"Feedback Arc Sets and Girth in Digraphs", UCSD Combinatorics Seminar, October 2007.
Teaching:
Assistant in Instruction, Graph Theory, MAT306 - Spring 2007.
Instructor, Introduction to Calculus & Analytic Geometry, MAT 101 - Fall 2006.
Grader, Graph Theory, MAT306 - Spring 2006.
Curriculum Vitae & Research/Teaching Statements (Updated Nov. 2007):
Curriculum Vitae - *.doc *.pdf
Research Statement - *.pdf
Teaching Statement - *.pdf
Education:
Ph.D. Mathematics, Princeton University (2008)
M.A. Mathematics, Princeton University (2005)
B.S. Applied Mathematics, Georgia Tech (2003)
B.S. Computer Science, Georgia Tech (2003)
