Here are some of my mathematical interests.
I am interested in developing the correct characterization of strong miniality in the continuous setting, and using this to answer questions in continuous model theory, such as finding characterizations of uncountable categoricity.
Model Theory of Real Closed Fields
During the spring of my last year as an undergraduate at Carnegie Mellon, I wrote this as my senior thesis under the supervision of
James Cummings.
o-minimality Exercises
During Summer 2012, I attend the MSRI Graduate Model Theory Workshop
about o-minimality and algebraic dynamics. These are some exercises about o-minimality that I typed up during the course.
Model Theory of Real Closed Fields for LHLS
These were the notes for a talk I gave at the Louise Hay Logic Seminar
with Maxwell Levine.
The Pila-Wilkie Theorem
These are the notes for a talk I gave in the Louise Hay Logic Seminar about the
main theorem in Pila and Wilkie's 2006 paper The Rational Points of a Definable Set. I based the outline on a lecture given by
Margaret Thomas
at the MSRI Graduate Model Theory Workshop. Here are the slides from my talk on this paper at the XIV Graduate Student Conference in Logic.
Proof Theory Project
In 2011, while I was still at UCLA, I did a project from the appendix of Jeremy Avigad's paper
Weak Theories of Nonstandard Arithmetic and Analysis with
Henry Towsner.
Notes on Fields
These were my class notes from Paul Balmer's Math 210BC (graduate algebra sequence) in 2009 at UCLA.