The IMA summer REU gives students an experience in working
on an interdisciplinary project involving mathematics.
Students will work in teams of three with a faculty advisor and
a postdoctoral mentor. This is a hands-on experience. There
will be a few formal lectures. However, students will spend
most of their time doing actual research. Students are
expected to produce a poster and a publication-quality written
report, and to give an oral presentation by the end of the
Description of projects:
- Objective structures – We will investigate naturally
occurring discrete structures more general than crystals. The
will be on self-assembling structures such as those observed in
tail sheaths of some viruses. Part of the project will consist
computer aided visualization of the structures.
structures team webpage
- Modeling solar cells – Polymer solar cells are
laminated structures that convert photons into electron-hole
dissociation. Current is then created by diffusion of the
electrons We will study the propagation of light in solar
model how excitons generated by light dissociate into
pairs which are collected at the electrodes. Performance of
cells will be simulated by solving differential equations.
- Data analysis – The problem of clustering is ubiquitous in
the analysis of data, however, determining the number of
existing clusters is not an obvious question (and sometimes not
well-defined). We will review the many strategies for
addressing this question and carefully compare them on
artificial and real data, while explaining their successes and
failures. We will try to suggest a combined strategy based on
the findings of the comparative study.
clustering team webpage
Reading and supporting material will be provided to successful
applicants prior to the start of the program.
deadline has passed]
Stipend and allowance:
$3,500 stipend, campus housing and meals, travel allowance of
up to $300. Participants also have a $300 allowance for travel
to a national meeting during the 2009-2010 academic year to
present results of their REU work.
Must be full-time undergraduate mathematics major and must
devote full time to the program and may not engage in other
course work or employment during the 5 week period.