Patrick Wynne

Patrick Wynne is a Lecturer in the Department of Mathematics at the University of Colorado Boulder. He defended his PhD in 2024 under Dr. Peter Mayr, with a dissertation titled 'Clonoids and Nilpotent Mal'cev Algebras.' His research focuses on clonoids, their structural roles in nilpotent Mal'cev algebras, and applications in equational theories and computational complexity. He has taught extensively since 2017, including courses on Calculus, Linear Algebra, and Mathematical Analysis in Business.

• Office: MATH 140
• Email: patrick.wynne@colorado.edu, wynnepm@gmail.com

Research emphasizes clonoids between abelian algebras, central extensions, and finiteness results in universal algebraic geometry. Recent work connects clonoids to nilpotent algebra structures, particularly 2-nilpotent Mal'cev algebras through abelian algebra clonoids.

Presented at conferences including the Association for Symbolic Logic North America Meeting (2024), BLAST Conferences (2022-2024), and the Workshop on General Algebra (AAA 101-102). Teaching roles include course instructorships and assistant coordination of Calculus 2.