MATTHEW L. SMITH
Postdoctoral associate and part-time instructor
Department of Mathematics
University of Georgia
Boyd Graduate Studies Research Centre
Athens, GA 30602-7403, USA
Email: msmith (at sign) math (decimal point) uga (full stop) edu
My Curriculum Vitae
RESEARCH
My research is in the fields of Diophantine equations and additive combinatorics, focusing particularly on applications of the Hardy-Littlewood circle method and the methods developed by Gowers in his recent proof of Szemerédi's theorem on sets containing long arithmetic progressions. I have lately been interested in problems concerning solution-free sets for systems of polynomials of highest degree at least 2, the analysis of which is dominated by the higher degree components.
A copy of my research statement may be found here.
TEACHING
I am currently teaching Mathematics 3200, Introduction to Higher Mathematics, at the University of Georgia. A copy of the department syllabus for the course may be found here.
Previously at the University of Georgia, I have been an instructor for the Calculus for Scientists and Engineers sequence, Mathematics 2250 and Mathematics 2260.
A copy of my teaching statement may be found here.
PAPERS
On solution-free sets for simultaneous additive equations, submitted.
On solution-free sets for simultaneous quadratic and linear equations, to appear in J. London Math. Soc.
On solution-free sets for simultaneous additive equations, Ph.D. thesis, University of Michigan, 2007.
OTHER LINKS
The Number Theory and Arithmetic Geometry Seminar at the University of Georgia
The NSF FRG Working Group in Additive Combinatorics at the University of Georgia