I have directed nine separate summer research projects over the past
eight years, involving fifteen
separate individuals (three students did work for me in two different summers). In addition, I have
directed five honors projects over the past ten years. Tiffany Broadbent and Ed Kenney will present
their work at this year's undergraduate research symposium. Other than the first and last of the summer
projects, all of the other summer projects were funded by grants received from Hewlett-Packard
Corporation, and the work done during those summers involved research topics coming from
mathematical questions arising in an industrial setting. I have recently received a grant from the
National Security Agency to fund summer projects, starting in the summer of 2003.
In terms of prizes coming from these projects, Sarah Spence and Brian
McKeever won an award at
a poster competition at the national math meetings in 1996; Jodie Eicher and Yaw Opoku won the Natural
Science Award at the University of Richmond Student Research Symposium in 1998; and Ed Kenney won
an award for best presentation at the summer national math meetings in 2002.
The following list, taken from my vita, describes my mentoring activities:
SUMMER RESEARCH PROJECTS DIRECTED:
Partial difference sets in new groups, Tiffany Broadbent and Ed Kenney, Summer 2002. Sponsored by the University
of Richmond Undergraduate Research Committee, Collaborative Research Grant.
Difference sets in 2-groups and their
associated codes,Mohammed Abouzaid and Jamie Bigelow, Summer, 2000.
Sponsored by Hewlett-Packard.
Construction of New Asymptotic Classes
of Binary Sequences Based on Existing Asymptotic Classes, Anthony
Kirilusha and Ganesh Narayanaswamy, summer 1999. Sponsored by Hewlett-Packard.
Intersections of Golay codes with higher
order Kerdock codes, Mohammed Abouzaid and Nick Gurski, summer
1999. Sponsored by Hewlett-Packard.
An examination of codewords with optimal
merit factor, Mike Cammarano and Anthony Kirilusha, summer, 1998.
Sponsored by Hewlett-Packard.
Octary codewords with peak power 3.2^m,
Katie Nieswand and Kara Wagner, summer, 1998. Sponsored by
Using the Quantum Computer to break
and Elliptic Curve Cryptosystem, Jodie Eicher and Yaw Opoku,
summer, 1997. This won the Student Research Symposium Natural Science Award at the University of Richmond
in spring, 1998. Sponsored by Hewlett-Packard.
Power control in Golay cosets, Mike
Cammarano and Meredith Walker, summer, 1997. Sponsored by
Coding theory over Galois Rings, Sarah
Spence and Brian McKeever, Summer, 1995. This won a poster
presentation at the annual Joint Math meetings of the American Mathematical Society and the Mathematics
Association of America in January, 1996.
UNDERGRADUATE HONORS THESES DIRECTED:
Difference sets, symmetric designs, and coding theory: a look at the incidence matrices for several difference sets,
Kate Nieswand, 2000.
On some new constructions of difference sets, Sarah Spence, 1997.
Generalizations of the mod4 construction of the Nordstrom-Robinson Code, Tim Frey, 1995.
Topics in cyclotomic and quadratic fields, Pam Mellinger, 1993.
A new view of McFarland difference
sets, John Polhill, 1993.