Martin Frankland

Martin Frankland is an Associate Professor in the Department of Mathematics and Statistics at the University of Regina, affiliated with the Topology and Geometry research group. His work focuses on algebraic topology and homotopy theory, particularly cohomology operations and their applications to operads and motivic homotopy theory. He holds a Ph.D. in algebraic topology from MIT (2010), advised by Haynes Miller. Prior to his current position, he held postdoctoral roles at institutions including the University of Western Ontario and the University of Illinois at Urbana-Champaign.

Research Interests:

• Algebraic Topology
• Homotopy Theory
• Cohomology Operations
• Motivic Homotopy Theory
• Higher Category Theory

Publications Trends: His recent work explores advanced structures in homotopy theory such as secondary cohomology operations, n-angulated categories, and multiparameter persistence modules. He frequently addresses foundational questions in algebraic topology, including realization problems for Π-algebras and the dual motivic Steenrod algebra.

Grants & Advising: While specific grants are not listed, his research supervision spans undergraduate and graduate projects, including directed reading initiatives and thesis guidance in algebraic topology. He maintains active collaborations with international researchers like Markus Spitzweck and Oliver Röndigs.

Labs/Teams: Active member of the Topology and Geometry group at the University of Regina, contributing to seminars and collaborative research in pure mathematics.