Teaching

Fall 2025: MATH 4651 Advanced Linear Algebra

MATH 4651 gives an in-depth and rigorous treatment of concepts seen in a first linear algebra course, followed by selected advanced topics.

Topics include vector spaces, linear transformations and matrices, determinants, diagonalization, eigenspaces, Jordan canonical forms, and inner product spaces. Further topics may include Smith normal form, singular value decomposition, bilinear forms, and tensors.

Syllabus: See below.

MATH 4651 FA25 syllabus.pdf

Previous teaching

University of Virginia (Whyburn Research Associate and Lecturer)

Spring 2025: MATH 4330 Calculus on Manifolds (syllabus), MATH 8750 Topology of Manifolds - Survey of Knot Theory (syllabus)
Spring 2024: MATH 3340 Complex Variables with Applications (syllabus), MATH 8720 Differential Geometry (syllabus)
Fall 2023: MATH 3340 Complex Variables with Applications

Indiana University (Associate Instructor)

Spring 2023: CLLC-L 130 Art Inspired by Mathematics (syllabus)
Spring 2022: MATH-M 119 Brief Survey of Calculus 1 (syllabus), MATH-M 118 Finite Mathematics
Fall 2021: MATH-M 118 Finite Mathematics (syllabus)
Spring 2021: MATH-D 116 Introduction to Finite Math 1
Fall 2020: MATH-D 116 Introduction to Finite Math 1
Spring 2020: MATH-M 106 Mathematics of Decision and Beauty
Fall 2019: MATH-M 120 Brief Survey of Calculus 2 (syllabus)
Summer 2019: MATH-D 116 Introduction to Finite Math 1
Spring 2019: MATH-J 112 Introduction to College Math 2
Fall 2018: MATH-J 112 Introduction to College Math 2
Summer 2018: MATH-M 106 Mathematics of Decision and Beauty
Spring 2018: MATH-J 112 Introduction to College Math 2
Fall 2017: MATH-J 112 Introduction to College Math 2

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