Research
Research Interests
Research
Statement
Oral Qualifying
Examination Syllabus
Doctoral Dissertation
Arithmetic
Progressions : Combinatorial and Number-theoretic Perspectives, 2007.
Publications
On a Variant of Van der Waerden's Theorem, Submitted.
The
Hales-Jewett number is exponential: game-theoretic consequences
(with József Beck and Wesley Pegden)
Analytic Number Theory: Essays in Honour of Klaus Roth, Cambridge
University Press (2009), 22-37.
On the
discrepancy of quasi-progressions
The Electronic Journal of Combinatorics 15 (2008), #R104, 14pp.
(electronic).
Eleven
Euclidean distances are enough
Journal of
Number Theory 128 (2008), 1655-1661.
A short proof
of a theorem on degree sets of graphs (with
Amitabha Tripathi)
Discrete Applied
Mathematics 155 (2007), 670-671.
On the
largest k-primitive subset of [1, n]
Integers 6 (2006), A1, 3pp. (electronic).
Dreidel
lasts O(n²) spins (with Thomas Robinson)
Advances in Applied Mathematics 36 (2006),
85-94.
On the least
size of a graph with a given degree set (with Amitabha
Tripathi)
Discrete Applied Mathematics 154
(2006), 2530-2536.
On
a generalization of the coin exchange problem for three variables
(with Amitabha Tripathi)
Journal of
Integer Sequences 9 (2006), Article 06.4.6, 8pp. (electronic).
Closest
approximations to real numbers (with Amitabha Tripathi)
Ars Combinatoria 77 (2005), 3-8.
Which
two-sorted algebras of booleans and naturals have a finite basis?
(with Wan Fokkink and Jaco van de Pol)
Algebra Universalis 52 (2004), 469-485.
A note on a
theorem of Erdos and Gallai (with Amitabha Tripathi)
Discrete Mathematics 265 (2003), 417-420.
Manuscripts
Monochromatic Van
der Waerden Triples, 2006.
On the
discrepancy of staircase sequences, 2006.
Extra set
paradoxes, 2005.
A game based
on a question of Erdos, 2005.
A tale of two
square roots, 2005.
On the ultimate
periodicity of mex sequences, 2004.
Fractions with
bounded partial quotients, 2004.
One, two, three ... sorority, 2003.
Master's Thesis
Some
problems in combinatorial number theory, 2002.