Fall 2008
Mathematics 152. Discrete Mathematics
An introduction to finite groups, finite fields, finite geometry,
discrete probability, and graph theory. A unifying theme of the course
is the symmetry group of the regular icosahedron, whose elements can be
realized as permutations, as linear transformations of vector spaces
over finite fields, as collineations of a finite plane, or as vertices
of a graph. Taught in a seminar format, and students will gain
experience in presenting proofs at the blackboard.
Note: Students who have taken Mathematics 23a,b, 25a,b or 55a,b should not take this course for credit.
Prerequisite: Mathematics 21b or equivalent.
Spring 2009
Mathematics 129. Number Fields
Algebraic number theory: number fields, unique factorization of ideals,
finiteness of class group, structure of unit group, Frobenius elements,
local fields, ramification, weak approximation, adeles, and ideles.
Prerequisite: Mathematics 123.
Miscellaneous Resources
My collection
of teaching resources - for teachers and students
Courses Taught at Brown University
Fall
2002: Teaching Assistant, Mathematics 9
(Introductory Calculus)
Spring
2003: Teaching Assistant, Mathematics 9 (Introductory Calculus)
Fall
2003: Teaching Fellow, Mathematics 9 (Introductory Calculus)
Fall
2004: Teaching Fellow, Mathematics
18 (Multivariable Calculus)
Spring
2006: Teaching Fellow, Mathematics
52 (Linear Algebra)
