Teaching Awards
- A Certificate of Appreciation from the Order of Omega, the honors society of the fraternities and sororities at Tufts,
for dedication to the student body in 2006--2007.
- Elected Professor of the Year 2007 by the mathematics majors at Tufts.
Former Thesis Students
Senior Honors Thesis
- Michael Burr,
``Mechanics on affine varieties'', May 2004.
Michael Burr is now Associate Professor of Mathematics at Clemson University.
- Mukesh Gimire,
``The mathematical
correspondence between classical and quantum mechanics,'' May 2016.
Professor Krzysztof Sliwa of the Physics Department was a co-advisor.
- Joao Basso,
``Coordinate-free tensor analysis,'' May 2020.
This thesis defines eigenvectors and eigenvalues for a symmetric tensor in
an intrinsic way, without using coordinates.
Joao Basso is now a Ph.D. student in mathematics at the University of California, Berkeley.
Masters Thesis
- Seunghun Hong,
``Equivariant cohomology for circle actions'', May 2006.
- Matthew Goodman,
``Elliptic curves in cryptography'', May 2006.
- Zachary Himes,
``Equivariant de Rham theorem'', May 2015.
- Kevin Woytowich,
``Equivariant Cohomology of Partial Flag Manifolds'', May 2023.
Ph.D. Thesis
- Burt Feinberg,
``On the dimension and irreducibility of Brill-Noether loci
for vector bundles.''
Burt Feinberg subsequently wrote with Aaron Bertram an article ``On stable
rank 2 bundles with canonical determinant and many sections,'' which was
included in the references of the third edition of the classic book
Geometric Invariant Theory by D. Mumford, J. Fogarty, and F. Kirwan.
- Andrés Pedroza,
``Equivariant formality and localization formulas," May 2004.
Andrés Pedroza is now Professor and Chair of Department of Mathematics at the
Facultad de Ciencias, Universidad de Colima, in Colima, Mexico.
He also had an appointment as Junior Associate at the International Center for Theoretical
Physics in Trieste, Italy, for five years.
- Jeffrey D. Carlson,
``On the equivariant cohomology of homogeneous spaces", May 2015.