Hello! I'm Ashley Winter Roberts, and I'm a fourth-year graduate student in math at the University of Arizona; this is my personal website. My advisor is Dr. Christoph Keller. My research is in the field of algebra/number theory, focusing on lattices and specifically on the Barnes-Wall lattices.
Here's a link to my resume: https://drive.google.com/file/d/1sTRoesIG7HaamtYD-1PQmyk57QlBT4eS/view?usp=drive_link
Teaching:
Spring 2025 - Math 112
Fall 2024 - Math 122B
Summer 2024 - Math 112 (co-taught with Duncan Bennett)
Spring 2024 - Math 116
Fall 2023 - Math 120R
Fall 2022 & Spring 2023 - Math 112
Research:
Written Comprehensive Exam Report: https://drive.google.com/file/d/1A3iXoVBDM4Q8iiASCCWRBgNom15F5TTA/view?usp=drive_link
Master's thesis project as used for qualifying exam: Exploring the Barnes-Wall Lattice and subgroups of its automorphism group.
-Here's a link to the pdf: https://drive.google.com/file/d/1QlllbssA314BJRjno82BFmmt_l0dA33N
-Here's the Magma code used in the project: https://pastebin.com/eDis0Z20
RTG project with Kristine Van: Exploring Barnes Wall Lattices with MAGMA
-Here's a link to the RTG report: https://drive.google.com/file/d/1iVz4jr0lZehfh9qDxM1rFNP9Err-YtZL/view?usp=sharing
-Here's a link to the slides we used: https://drive.google.com/file/d/13wqIxvwW6VE4HeaEdpzZH3LZHqcYtdWh
-Here's the Magma code used in the project: https://pastebin.com/9uFqpzAR