# Brendan Hassett: Teaching Experience

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Rice University

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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
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Fall 2001

Math 211,
* Ordinary Differential Equations and Linear Algebra*:
analytic methods, numerical techniques, and qualitative tools
for understanding ordinary differential equations;
matrix algebra

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Chinese University of Hong Kong,
Institute of Mathematical Sciences

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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
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Fall 2000

Graduate course,
* Introduction to Algebraic Geometry I*:
Nullstellensatz, affine and projective varieties, dimension,
normalization, and examples

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University of Chicago

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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
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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
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Winter 1998

Math 175, * Elementary Number Theory*:
basic properties of congruences, the division algorithm,
continued fractions, and Pell's equation
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Spring 1997

Math 204, * Analysis in ***R**^{n} II:
topological properties of metric spaces and **R**^{n},
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
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Fall 1996

Math 203, * Analysis in ***R**^{n} 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

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Harvard University

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Spring 1996

Math 253, * Étale Cohomology*: Course assistant
for A. J. de Jong
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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.
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Fall 1994

Math 269, * Topics in Algebraic Geometry*: Course assistant
for Joe Harris
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Spring 1994

Math 1A,
*Introduction to Calculus*:
differential calculus of algebraic, logarithmic,
and trigonometric functions with applications; an introduction to integration