Program Description (2013-2016): Three or four teams of four students each will work
collaboratively with each summer's program faculty,
Professor Kurt Bryan,
Professor Joe Eichholz,
Professor Joshua Holden,
Professor Allen Holder,
Professor Vin Isaia,
Professor David Goulet,
Professor Mark Inlow, or
Professor Eric Reyes.
Professor Bryan's teams will investigate determining the
nature and location of defects in materials using
nondestructive testing through solving inverse problems.
Professor Eichholz's teams will investigate optical tomographcy as a means of medical imaging.
Professor Holden's teams will conduct research on the "discrete
logarithm problem," and closely related cryptographic
applications. Professor Holder's teams will be using parametric
graph theory and mixed integer optimization to investigate areas of
systems biology involving biological pathways.
Professor Isaia's teams will examine the asymptotic behavior of certain types of
differential equations arising in physics.
Professor Goulet's teams will examine mathematical models related the the chemistry of
dimerization (the joining of two similar or identical molecules to form a larger molecule.)
Finally, Dr. Inlow and Reyes' teams will research the statistical analysis of high-dimensional data sets
stemming from the ADNI (Alzheimer's Disease Neuroimaging Initiative) project at Indiana University.
The teams will make use of computers and software such as Matlab, Maple, SAS, and R. Brief descriptions of the research areas are given below: Computational Number Theory, Computational Biology, Inverse Problems, Optical Tomography, Chemistry of Dimerization, High Dimensional Data Analysis, Symmetry and Asymptotic Behavior.
In addition to the technical program, participants will engage in a companion program to develop their oral and written communication skills, as well as collaborative and other professional skills. This will be accomplished through required oral presentations, written technical reports, and a close, positive working environment among the participants and the program faculty. The bulk of the work will take place in the "Theorodrome", the computer laboratory/workplace devoted to the REU, and in adjoining classrooms. A list of technical reports and refereed papers prepared by participants since 1990 is available: RHIT REU Publications
Program Philosophy: The Rose-Hulman REU will be entering its twenty-fifth year of operation. It has been very successful because of its approach to undergraduate research: participant ownership of the research work. A great deal of time is spent thinking up open-ended but "do-able" research problems which participants can immediately tackle upon arrival and make significant progress on in eight weeks. The initial work is experimentation and discovery through computer-based calculation and analysis of special cases. In this way participants build intuition, then make more general conjectures and decide how to proceed with deeper analysis and proofs. Participants are strongly encouraged to work in teams. The program faculty work closely with the participants on a daily basis, serving as colleagues, mentors and guides to mathematical and statistical research. Our goal is that participants have a strong sense of ownership and personal pride in their work, and a good foretaste of what professional mathematical and statistical research is about. This pride of ownership is reinforced by the on-campus and off-campus presentations, the technical report, and the follow-up program in which participants improve and polish their work for the technical report series and possible publication in a journal.
Stipend and Accommodations: The stipend for the program is $4000. Participants will live in one of the on-campus residence halls, all of which are air-conditioned, with easy access to dining and recreational facilities. The housing is provided free, and affordable on-campus dining is available (with a substantial dining hall allowance provided). Here is a campus map and tour. Work will be carried out in the Theorodrome, the Mathematics Department's computer lab/classroom, (and adjoining classroom) providing access to software like Matlab, Magma, Maple, TeX, as well as email and Internet services. Terre Haute is a mid-sized, mid-west city, 70 miles west of Indianapolis, with all the usual amenities and nearby recreational facilities. One of the REU traditions has been a canoe trip through nearby Turkey Run State Park.
This document was last modified: 01/03/13
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