Sulphur Mountain, Banff, 2022 (photo by Jason Bell)
Brief biography: I had postdoctoral positions at both Northeastern University and University of Connecticut after receiving my PhD from University of Michigan in 2009, and completing my undergraduate studies at the University of Kansas. I was born and raised in Oklahoma City, am an enrolled citizen of ᏣᎳᎩᎯ ᎠᏰᎵ (Cherokee Nation), and attended high school at Classen School of Advanced Studies in the Oklahoma City Public Schools system.
Please use the following links to direct yourself to a subject of interest:
2019-present: Quiver representations across geometry and algebra: equivariant K-theory, moduli spaces, and tensor categories. Simons Foundation Award ID: 636534 ($42,000)
2023-2026: Quivers in quantum symmetry: a path algebra framework for algebras in tensor categories. NSF award DMS-2303334 ($298,003)
Ph.D. supervision
Joseph Sauder (co-supervised with Bruce Ayati), Ph.D. 2024, Algebraic Tools for Chemical Reaction Network Theory
Yariana Diaz, Ph.D. 2023, Hom-Size Identifiable Subcategories of Quiver Representations for Use in Multi-Parameter Persistence Theory
Cody Gilbert, Ph.D. 2023, Moduli of Representations of Tame Algebras
Amrei Oswald, Ph.D. 2022, Bimodules in Tensor Categories with Applications to Quantum Symmetry
Danny Lara, Ph.D. 2019, Quiver representations and their dense orbits
Ana Berrizbeitia, Ph.D. 2018, Invariants of Hopf Actions on Path Algebras of Quivers
Kevin del Real Ramos, Hopf actions, Ph.D. expected 2025
Jacob van Grinsven, Hopf actions, Ph.D. expected 2026
Shashank Singh, Hopf actions, Ph.D. expected 2026
Bakhtiar Ahmed, Ph.D. expected 2027
Blake Mattson, Ph.D. expected 2027
Undergraduate research mentoring
Nyah Davis, B.S. Mathematics 2022
Courses taught at U. Iowa (aside from seminars, independent studies, teaching practica, etc.):
Fall 2024: Math 5900 First-Year Graduate Seminar
Fall 2023: Math 5900 First-Year Graduate Seminar
Spring 2023: Math 5010 Algebra 2
Fall 2022: Math 5000 Algebra 1
Fall 2022: Math 5900 First-Year Graduate Seminar
Spring 2022: Math 6010 Algebra 2
Fall 2021: No courses (Professional Development Award). With Yari Diaz, we are organizing a weekly seminar on Applications of Quiver Representations.
Spring 2021: Math 6010 Algebra 2
Fall 2020: Math 6000 Algebra 1
Fall 2019: Math 3720 Abstract Algebra, and Math 7030 Topics in Algebra (Tensor Categories)
Spring 2019: Math 1550 Engineering Math I: Single Variable Calculus, and Math 5010 Algebra 2
Fall 2018: Math 5000 Algebra 1
Spring 2018: Math 1550 Engineering Math I: Single Variable Calculus, and Math 6010 Algebra 2
Fall 2017: Math 6000 Algebra 1
Spring 2017: Flex load Assignment
Fall 2016: Math 3720 Abstract Algebra, and Math 7030 Topics in Algebra (Commutative Algebra)
Spring 2016: Math 2550 Engineering Math III: Matrix algebra, and Math 6010 Algebra 2
Fall 2015: Math 3550 Engineering Math V: Vector calculus, and Math 6000 Algebra 1
Spring 2015: Math 2550 Engineering Math III: Matrix algebra
Fall 2014: Math 7030 Topics in Algebra (Quiver Representations)