Alexis Hardesty, PhD

Assistant professor, TWU Division of Mathematics

Contact

Office: MCL 416
940-898-2770
Email: ahardesty1@twu.edu

Research interests

• The application of homological methods to commutative algebra.
• The scholarship of teaching and learning.

Teaching

Courses I have taught at TWU:

• College Algebra (Math 1303)
• Calculus 1 (Math 2014)
• Discrete Mathematics (Math 3013)
• Abstract Algebra (Math 3053)
• Linear Algebra (Math 3063)
• Matrix Methods (Math 3073/5513)
• Number Theory (Math 3083/5523)

Publications/preprints

A study of a quadratic almost complete intersection ideal and its linked Gorenstein ideal
(with Rachel Diethorn, Sema Gunturkun, Pinar Mete, Liana Sega, Aleksandra Sobieska, and Oana Veliche), submitted

Realizing Algebra Structures on Free Resolutions of Grade 3 Perfect Ideals, in Journal of Pure and Applied Algebra, submitted.

Sampling algebra structures on minimal free resolutions of length 3. (with L. Christensen and O. Gotchey), in Experimental Mathematics.

The Eliahou-Kervaire resolution over a skew polynomial ring. (with L. Ferraro), in Communications in Algebra

The Tor Algebra of Trimmings of Gorenstein Ideals. (with L. Ferraro), in Acta Mathematica Vietnamica

Apéry-like numbers and families of newforms with complex multiplication. (with D. McCarthy and S. Young), in Research in Number Theory

Selected presentations

Joint Mathematics Meetings 2025: "A Macaulay2 Algorithm to Realize Tor Algebra Structures of Grade 3 Ideals" 

MAA MathFest 2025: Simplifying Standards-Based Grading with Sticker Sheets

SLMath Connections Workshop 2024: "Sampling Algebra Structures on Minimal Free Resolutions of Length 3"

Joint Mathematics Meetings 2023: "The Eliahou-Kervaire resolution over a skew polynomial ring"

Conference on Homological Commutative Algebra and Related Topics 2022: "Differential Graded Algebra Structures on Minimal Resolutions of Local Rings"

STEM Teacher and Researcher Conference 2017: "MinT-Net: Novel and Scalable Network-enabled Comparative Tools for Stress Studies of Microbiomes in Transition

Professional development

MAA Project NExT (New Experiences in Teaching) Fellow

AWM WiCA (Women in Commutative Algebra) Research Network

ACUE (Association of College and University Educators) Effective Teaching Practices Certification