CURE: Collaborative Undergraduate Research Experience
CURE is an intense 8-week summer research program primarily aimed at mathematics majors. The program involves 4-5 undergraduate students, a faculty research advisor (Dr. Ian Charlesworth in 2018), one graduate student research mentor, along with the program advisor Prof. Todd Kemp. The goals of the program are to:
Participants are paid a stipend of $4,000 USD, in two monthly installments. They are expected to be working (together as a group)
with their mentors on weekdays during the program.
2018 Project Description
The topic of this year's CURE project is bi-free probability theory. Free probability is a large research area
overlapping analysis, probability, and combinatorics. It can be viewed as the large-dimension limit of random matrix
theory, and has provided important, robust tools for answering questions in a wide variety of pure and applied fields:
from operator algebras to wireless communication; from representation theory to string theory. Bi-free probability
is a more recent invention (about 5 years old) that introduces a "two faced" structure into the theory. There are
still many questions in the underlying combinatorial structure of free probability that have yet to be generalized
to the bi-free setting; CURE 2018 will be devoted to understanding and extending some of these combinatorial ideas.
CURE is open to all current full-time UCSD students. Interested students should have taken Math 140AB (real analysis). Other courses that could be useful are Math 180A (probability theory), Math 154 or Math 184 (combinatorics), and Math 102 (linear algebra). Some programming experience is also a great benefit. There is no U.S. citizenship/residency requirement, but you must have legal status to live and work in the U.S. through at least September 1, 2018. The deadline for application to the 2017 program is Friday, June 1, 2018.
Submit your application using this Application Form. You will need to submit:
These materials will be evaluated immediately following the application deadline, and successful applicants will be notified by June 8, 2018.