RoseMath Undergraduate Research
Faculty Research Interests and Expertise
The faculty at Rose-Hulman have a variety of teaching and
research interests. Notable among the faculty interests are:
- algebra, group theory, algebraic combinatorics
- applied statistics
- algebraic topology
- algebra and (arithmetic) algebraic geometry
- computer algebra systems in mathematics education
- cryptography
- differential geometry and geometric modeling
- discrete mathematics, combinatorics
- dynamical systems and Hamiltonian systems ;
- geometry/topology
- hysteresis modeling
- integral equations and associated inverse
problems
- mathematical problem solving
- mathematical modeling and simulation
- number theory
- numerical analysis
- operations research
- real and complex analysis
- partial differential equations
- scientific computation
- point set topology
Several faculty are also interested in applications in the following
areas:
- thermal imaging
- imaging systems and image processing
- applications of linear algebra
- statistical consulting
- models and controls
for actuators based on shape memory alloys or piezoelectric
materials
Student Research
Research by undergraduates is nurtured in several different ways at Rose-Hulman.
We encourage our own students to engage in research and
industrial projects and to disseminate it through publications
and presentations. Primarily, this research will be completed in a senior thesis or senior project (application of mathematics), see the thesis/project page. In addition some of this research and project work is accomplished
through our project work programs (see below) as well as undergraduate research
seminar courses and summer programs.
Off campus students are attracted to Rose-Hulman both to participate in research in
our NSF-funded Research
Experiences for Undergraduates summer program and to present research in
our annual Conference
in Undergraduate Mathematics, and to publish it in our Undergraduate Mathematics Journal. The research accomplishments of our students are documented through publications and
presentation on these two websites.
In addition, Rose faculty have created the following
archives of electronic undergraduate mathematics resources and to disseminate joint faculty student research.
Project Work and Applied Research
One of the strengths of Rose-Hulman's overall program is project
work experience. This give students an opportunity to work on real-world, client-sponsored
problems before graduation. Students find the projects exciting because
it combines application of the coursework (mathematical and otherwise) with realistic
situations, creative problem solving, teamwork, and interaction with a client.
Mathematics students have participated in project work in statistical analysis
of product testing, production scheduling, the Solar racecar and Aerial Robotics
club. The Mathematics department is a participating department in the Imaging
Systems Certificate
(in
this section of the bulletin), a source of additional projects.
The Institute has received about $11 million from
various sources to support this work with industry and clients. Through
the TED entrepreneurial and technology research program student teams
with faculty mentors are encouraged to work with industrial clients.
Much of the project work is carried out in the Meyer's Center that
provides specialized facilities for project work. In addition, Rose-Hulman
has recently received almost $50 million to create Rose-Hulman
Ventures, a high-tech business incubator at our Aleph Park campus. The Center's
primary goal is to help transform the Indiana economy by encouraging
and supporting high-tech startups, but it also helps create additional
applied research and consulting opportunities for faculty and students.
Publications and Archives
The department has two publication efforts
The electronic journal the Rose Hulman Undergraduate Math Journal,
is exclusively devoted to undergraduate mathematics research and went live with its first volume in late March 2000.
The Mathematical Sciences Technical Report Series functions both as as a preprint series for formal publications
for faculty and students, and as a final form publication vehicle for some of our student research.
Seminars and Conferences
In addition to publication, Rose students and faculty share their research and scholarship and learn from other through our seminars and colloquia. The department hosts two major efforts:
The conference has been held annually for more than a quarter century and the seminar for fifteen years. Both of the seminars are intended to be accessible for both students and faculty and feature both speakers.
