



Neil
Lyall Professor of Mathematics, University of Georgia Currently Teaching (Fall 2017):Math 4100/6100Research Interests: Arithmetic Combinatorics and Harmonic Analysis Graduate Students: Former: Hans Parshall (Graduated August 2017, now at The Ohio State University) Lauren Huckaba (Graduated August 2016, now at the NSA) Alex Rice (Graduated August 2012, now at Millsap College)




Some Recent Papers:
Some expository/unpublished notes: In this extract from Product
of simplices
and sets of positive upper density in
R^d
we present a new direct
proof of the fact that any subset of R^d with
positive upper Banach
density necessarily contains an isometric copy of all sufficiently large dilates of any fixed nondegenerate kdimensional simplex provided d is greater than or equal to k+1. 2. Geometric
squares and sets of positive upper density in R^d
(with
Akos Magyar)
3. Distances
in
dense
subsets
of
Z^d (with
Akos Magyar)
The full collection: Preprints and
expository notes4. Ramsey theory (Math 8440 course notes, Spring 2011) The contents and opinions expressed on
this web page do not necessarily reflect the views
of nor are they endorsed by the university
system of georgi
