My main areas of interest are algebraic Lie theory and algebraic combinatorics, particularly the combinatorics of Coxeter groups. I am also interested in applications of these theories to other areas of mathematics, and to the sciences.
keywords
algebraic Lie theory, algebraic combinatorics, combinatorics of Coxeter groups
MATH 2001 - Introduction to Discrete Mathematics
Primary Instructor
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Fall 2018 / Fall 2019 / Fall 2022
Introduces the ideas of rigor and proof through an examination of basic set theory, existential and universal quantifiers, elementary counting, discrete probability, and additional topics. Credit not granted for this course and MATH 2002.
MATH 2130 - Introduction to Linear Algebra for Non-Mathematics Majors
Primary Instructor
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Spring 2018 / Fall 2021
Examines basic properties of systems of linear equations, vector spaces, inner products, linear independence, dimension, linear transformations, matrices, determinants, eigenvalues, eigenvectors and diagonalization. Intended for students who do not plan to major in Mathematics. Degree credit not granted for this course and MATH 2135 or APPM 3310. Formerly MATH 3130.
MATH 2135 - Introduction to Linear Algebra for Mathematics Majors
Primary Instructor
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Fall 2019 / Fall 2020 / Fall 2023 / Summer 2024
Examines basic properties of systems of linear equations, vector spaces, inner products, linear independence, dimension, linear transformations, matrices, determinants, eigenvalues, eigenvectors and diagonalization. Intended for students who plan to major in Mathematics. Degree credit not granted for this course and MATH 2130 or APPM 3310. Formerly MATH 3135.
MATH 3140 - Abstract Algebra 1
Primary Instructor
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Spring 2018 / Summer 2018 / Summer 2019 / Fall 2020 / Spring 2022 / Summer 2024 / Fall 2024
Studies basic properties of algebraic structures with a heavy emphasis on groups. Other topics, time permitting, may include rings and fields.
MATH 4140 - Abstract Algebra 2
Primary Instructor
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Spring 2023
Explores some topic that builds on material in MATH 3140. Possible topics include (but are not limited to) Galois theory, representation theory, advanced linear algebra or commutative algebra. Same as MATH 5140.
MATH 5140 - Abstract Algebra 2
Primary Instructor
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Spring 2023
Explores some topic that builds on material in MATH 3140. Possible topics include (but are not limited to) Galois theory, representation theory, advanced linear algebra or commutative algebra. Department enforced prerequisite: MATH 3140. Same as MATH 4140.
MATH 6130 - Algebra 1
Primary Instructor
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Fall 2021 / Fall 2023
Studies group theory and ring theory. Department enforced prerequisite: MATH 3140. Instructor consent required for undergraduates.
MATH 6140 - Algebra 2
Primary Instructor
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Spring 2019 / Spring 2020 / Spring 2021 / Spring 2023
Studies modules, fields and Galois theory. Department enforced prerequisite: MATH 6130. Instructor consent required for undergraduates.
