I am the Deputy Director of Canada/USA Mathcamp,
a five-week summer program for mathematically gifted high school students.
Here is an article on Mathcamp 2003 from the Toronto Globe and Mail.
Teaching:
I have taught at Mathcamp since 1996. Here are handouts, problem sets, and references from some of my classes:
- The Mathematics of Gauss -- lecture notes (pdf ps)
- Field Theory
- Finite Fields -- problem set (pdf ps)
- Imaginary Quadratic Fields -- unique factorization notes (pdf ps)
- Diophantine Equations -- handout on passing from rational to integer
solutions (pdf ps)
- Basic Number Theory
- Notes on the Euclidean algorithm and GCDs (pdf ps)
- Notes on primitive roots (pdf ps)
- Problem Set 1 (pdf ps)
- Problem Set 2 (pdf ps)
- Problem Set 3 (pdf ps)
- Problem Set 4 (pdf ps)
- Problem Set 5 (pdf ps)
- Pell's Equation -- taught from Ed Barbeau's book using the Moore Method
- Abel's Theorem -- co-taught using the Moore Method from a translation
of a problem book by V. Alexeev (e-mail if interested)
- Differential Fields -- taught from these notes
by Matthew Wiener and maintained by Dave Rusin
In addition, I have taught courses on continued factions, elliptic curves, p-adic numbers, lattices and Minkowski's
Theorem, finite fields in combinatorics, knot theory, and finite groups of small order.
Team Problem Solving contests:
Here are many of the Team Problem Solving contests from 2003 and 2004.
Almost all problems were proposed
by Dorin Andrica.
- 2003, Contest 2: (pdf ps)
- 2003, Contest 3: (pdf ps)
- 2003, Contest 4: (pdf ps)
- 2003, Contest 5: (pdf ps)
- 2004, Contest 1: (pdf ps)
- 2004, Contest 2: (pdf ps)
- 2004, Contest 3: (pdf ps)
- 2004, Contest 4: (pdf ps)
- 2004, Contest 5: (pdf ps)
Some friends of Mathcamp:
Mathcamp is run by the Mathematics Foundation of America, a
501(c)3 nonprofit organization.