REU2018
Summer is near and we will be running an informal summer research
program, as usual. Who are we? We are Alex Iosevich, Vitaly Lorman
and Jonathan Pakianathan. This year the program is going to center
around combinatorial geometry. What are we going to do? We are going
to review the basics of combinatorial geometry, read a couple of
papers and then try to prove some some results that are currently
open. We do not have a timeline, just the desire to understand as
much as possible. The reading materials are enclosed below. If you
are interested in participating, please email Alex Iosevich at
iosevich@gmail.com. The program is going to begin in May right after
the end of the semester and will continue as long as there is
interest.
Our first meeting will take place on Tuesday, May 15, at 10 a.m. in
the math lounge on the 9th floor of Hylan. We are generally going to
meet on Tuesdays and Thursdays, though additional meetings may be
scheduled as needed.
We are going to begin the program by reading a beautiful paper by
Bourgain, Katz and Tao, entitled "A sum-product
estimate in finite fields and applications". When you start
reading this paper, your initial reaction may be to run away
screaming. This is completely normal as frustration is an integral
part of research mathematics. The key is to follow up the screaming
sessions with intensive reading and scribbling in order to
understand what the paper is all about.
The following people have expressed interest in participating in the
program so far:
Kathryn Chotkowski (senior)
John Ennis (junior)
Linus Ge (sophomore)
Lucy Lu (sophomore)
Tianyi Ma (sophomore)
Gregory Mihailyszyn (sophomore)
Cole Miller (sophomore)
Adeel Qayum (sophomore)
Anna Shors (sophomore)
Manuel Stoeckl (junior)
Giang Truong (sophomore)
Chu Wang (sophomore)
Brier Wu (sophomore)
Szu-Ti Yao (junior)
Yiyao Zhang (sophomore)