Brendan Hassett: Teaching Experience
Rice University
Spring 2002
Math 464, Algebra II:
study of groups, rings, fields, and vector spaces;
includes matrices, determinants, eigenvalues, canonical
forms, and multilinear algebra, as well as the structure
theorem for finitely generated Abelian groups and
the Galois theory
Math 465, Topics in Algebra,
Introduction to computational algebraic geometry:
Gröbner bases, Buchberger algorithm, ideal membership problem,
affine and projective varieties, resultants,
Nullstellensatz, and the Bezout Theorem
Fall 2001
Math 211,
Ordinary Differential Equations and Linear Algebra:
analytic methods, numerical techniques, and qualitative tools
for understanding ordinary differential equations;
matrix algebra
Chinese University of Hong Kong,
Institute of Mathematical Sciences
Spring 2001
Graduate course,
Introduction to Algebraic Geometry II:
elements of graded algebras and modules,
coherent sheaves, sheaf cohomology, families of
algebraic varieties, and Gröbner bases
Fall 2000
Graduate course,
Introduction to Algebraic Geometry I:
Nullstellensatz, affine and projective varieties, dimension,
normalization, and examples
University of Chicago
Spring 1999
Math 255, Basic Algebra II: basic properties of unique
factorization domains, principal ideal domains, and abstract linear
algebra
Math 256, Basic Algebra III: Jordan canonical
form, similarity of matrices, properties of finite fields, and
Galois theory
Spring 1998
Graduate course, Hodge Theory and Algebraic Geometry:
an introduction to variations of Hodge structure and the geometry
of period domains, with applications to rationality questions
Winter 1998
Math 175, Elementary Number Theory:
basic properties of congruences, the division algorithm,
continued fractions, and Pell's equation
Spring 1997
Math 204, Analysis in Rn II:
topological properties of metric spaces and Rn,
linear transformations, and the definition and applications of the derivative
Math 263, Introduction to Algebraic Topology:
classification of Riemann surfaces, the definition
of the fundamental group, and the theory of covering spaces
Fall 1996
Math 203, Analysis in Rn I:
basic elements of logic and proofs, limits, continuous functions,
and linear transformations
Math 250, Elementary Linear Algebra:
the theory of matrices and linear transformations, with
an emphasis on computational methods and applications
Harvard University
Spring 1996
Math 253, Étale Cohomology: Course assistant
for A. J. de Jong
Spring 1995
Math 21B, Linear Algebra and Differential Equations:
introduction to linear algebra, including linear transformations
and determinants, eigenvalues and eigenvectors; ordinary
differential equations and systems and their solution; applications.
Fall 1994
Math 269, Topics in Algebraic Geometry: Course assistant
for Joe Harris
Spring 1994
Math 1A,
Introduction to Calculus:
differential calculus of algebraic, logarithmic,
and trigonometric functions with applications; an introduction to integration