Assistant Professor of Mathematics, University of Georgia
Research Interests: Arithmetic Combinatorics and Harmonic Analysis
Current Graduate Students: Alex Rice (expected graduation 2012)
Recent papers:
| 1. Improved bounds on
Sarkozy's theorem for
quadratic polynomials (with Mariah Hamel and Alex Rice) submitted
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| 2. A new proof of
Sarkozy's
theorem to appear in the
Proc. Amer. Math. Soc.
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| 3. Polynomial differences in the primes (with Alex Rice) submitted
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| 4. Simultaneous polynomial recurrence (with Akos Magyar)
Bull. Lond. Math. Soc. 43 (2011), no. 4,
765-785
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| 5. Optimal polynomial
recurrence (with Akos Magyar) to appear in the
Canad. J. Math.
Here is an
exposition of the special case of squares: An optimal version of
Sarkozy's theorem
|
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| 6. Arithmetic
structure in
sparse difference sets (with Mariah Hamel, Katherine Thompson
and Nathan Walters)
J. Number Theory 130 (2010), 1581-1589
|
|
| 7. Polynomial
configurations in difference
sets (with Akos Magyar) J. Number Theory
129 (2009), 439-450
Here is an
exposition of the special case of squares: Sarkozy's
theorem |
The full collection: Preprints and expository notes
Currently
Teaching:
Research Experience for Undergraduates:
Ramsey Theory
(Summer
2005)
- Research
Seminars
and Conferences:
Seminar
Schedule
Analysis and Arithmetic Combinatorics Seminar (2010-11)
Analysis and Additive Combinatorics Learning Seminar (2009-10)
VIGRE Research Group Geometric combinatorics, Arithmetic Combinatorics and Fourier analysis (2008-09)
Analysis and Arithmetic Combinatorics Seminar (2010-11)
Analysis and Additive Combinatorics Learning Seminar (2009-10)
VIGRE Research Group Geometric combinatorics, Arithmetic Combinatorics and Fourier analysis (2008-09)