Alexis Hardesty, PhD

Assistant professor, TWU Division of Mathematics

Contact

Office: MCL 416
Email: ahardesty1@twu.edu

Research interests

• The application of homological methods to commutative algebra.
• Differential graded algebra structures on free resolutions.

Teaching

I am passionate about teaching and enjoy working with students at various educational levels. My goal is to help students build mathematical confidence and lessen anxiety commonly associated with mathematics classes. In my classroom, I promote engaged learning between student and teacher as well as between students. Below are the courses I have taught:

• College Algebra (Math 1303)
• Discrete Mathematics (Math 3013)
• Abstract Algebra (Math 3053)
• Number Theory (Math 3083/5523)

Alexis Hardesty teaching statement

Publications/preprints

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

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

Curriculum development

Calculus I, II and III at Texas Tech University (2022-23)

Introduction to Proofs at Texas Tech University (2018-19)

Professional development

MAA Project NExT (2023-2024)

Women in Commutative Algebra (WiCA) Research Network (2023-present)

Invited talks and conferences

"Classifying Ideals Based on Multiplicative Structures in Homology," MathFest 2023, Tampa, Fl.

Algebra seminar, West Virginia University (Spring 2023)

Southwest Local Algebra Meeting, University of North Texas (Spring 2023)

AMS Special Session on The EDGE Program, Joint Mathematics Meetings (Winter 2023)

"Realizing Differential Graded Algebra Structures on Minimal Free Resolutions," AWM Graduate Poster Session, Joint Mathematics Meetings 2024

Commutative Algebra Seminar, University of Michigan (Fall 2022)

Conference on Homological Commutative Algebra and Related Topics, Georgia Southern University (Summer 2022)

Graduate Student Conference in Algebra, Geometry and Topology, Temple University (Summer 2022)

Discussions in Algebra, University of Texas at Arlington (Spring 2022)

"A DG Algebra Resolution of Trimmings of Pfaffian Ideals," Southwest Local Algebra Meeting 2022, Baylor University