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MATH 8630

Algebraic Number Theory

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Difficulty
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GPA
—

Last Taught
Spring 2026

Theory of number fields and local fields, ramification theory, further topics as chosen by instructor.
MATH 8710

Lie Algebras

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Difficulty
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GPA
3.82

Last Taught
Fall 2026

Studies basic structure theory of Lie algebras.
MATH 8750

Topology of Manifolds

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Difficulty
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GPA
3.99

Last Taught
Fall 2026

Studies regular and critical values, gradient flow, handle decompositions, Morse theory, h-cobordism theorem, Dehn's lemma in dimension 3, and disk theorem in dimension 4. Prerequisite: Math 5770.
MATH 8850

Topics in Algebraic Topology

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Difficulty
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GPA
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Last Taught
Fall 2026

Selected advanced topics in algebraic topology.
MATH 8851

Group Theory

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Difficulty
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GPA
—

Last Taught
Spring 2026

Studies the basic structure theory of groups, especially finite groups.
MATH 8852

Representation Theory

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Difficulty
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GPA
3.66

Last Taught
Fall 2026

Studies the foundations of representation and character theory of finite groups.
MATH 8998

Non-Topical Research, Preparation for Research

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Difficulty
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GPA
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Last Taught
Fall 2026

For master's research, taken before a thesis director has been selected.
MATH 8999

Non-Topical Research

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Difficulty
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GPA
—

Last Taught
Fall 2026

For master's thesis, taken under the supervision of a thesis director.
MATH 9010

Ramanujan-Serre Seminar

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Difficulty
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GPA
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Last Taught
Fall 2026

Discusses topics from number theory.
MATH 9250

Harmonic Analysis and PDEs

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Difficulty
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GPA
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Last Taught
Fall 2026

Harmonic Analysis and PDEs seminar

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Subject

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MATH 8630

Algebraic Number Theory

MATH 8710

Lie Algebras

MATH 8750

Topology of Manifolds

MATH 8850

Topics in Algebraic Topology

MATH 8851

Group Theory

MATH 8852

Representation Theory

MATH 8998

Non-Topical Research, Preparation for Research

MATH 8999

Non-Topical Research

MATH 9010

Ramanujan-Serre Seminar

MATH 9250

Harmonic Analysis and PDEs