Benjamin Baily

About Me

I am a fourth-year Ph.D. candidate at the University of Michigan. My work is supported by a Simons dissertation fellowship.

Research Interests

I'm interested in commutative algebra and algebraic geometry in positive characteristic. My thesis advisor is Karen Smith.

Preprints

• Homogeneous Ideals with Minimal Singularity Thresholds. Preprint.
• Extremal F-Thresholds in Regular Local Rings. Preprint.
• On Lower Bounds for the F-Pure Thresholds of Equigenerated Ideals. Preprint.
• On Deformation of Perfectoid Purity in Gorenstein Domains, with K. Dovgodko, A. Simpson, and J. Westbrook. Submitted.
• Strength, Partition Rank, and Algebraic Closure., with A. Lampert. Submitted.

Undergraduate Research

• Irreducibility over the Max-Min Semiring, with J. Dell, H. L. Fleischmann, F. Jackson, S. J. Miller, E. Pesikoff, L. Reifenberg. Journal of Integer Sequences, 2025.
• Completions of Countable Excellent Rings in Equal Characteristic Zero, with S. Loepp. Journal of Algebra and its Applications, 2024.
• The Bergman Game, with J. Dell, I. Durmić, H. L. Fleischmann, F. Jackson, I. Mijares, S. J. Miller, E. Pesikoff, L. Reifenberg, A. S. Reina, Y. Yang. Conference proceedings of the 20th International Conference on Fibonacci Numbers and Their Applications, 2022.

Teaching

• Math 115 (Calculus 1): Fall 2022, Winter 2023, Fall 2023, Winter 2024, Summer 2024, Fall 2025

Conferences, Posters, and Talks

• Classifying Extremal Pairs in Equal Characteristic. University of California, San Diego Algebra Seminar, March 2026.
• Classifying Extremal Pairs in Equal Characteristic. University of Utah Commutative Algebra Seminar, February 2026.
• Poster at Singularities in Algebra and Geometry, June 2025.
• Poster at Commutative Algebra in the South, April 2025.
• A Lower Bound on Graph Geometric Gonality. University of Kentucky Algebra Seminar, April 2023.

CV

January 30, 2026