Alex Waldron

Alex Waldron is an Assistant Professor in the Department of Mathematics at the University of Wisconsin–Madison. His research focuses on geometric analysis, particularly the interplay between differential geometry and nonlinear PDEs.

His recent work includes studies on Yang-Mills flow, harmonic maps, and G2-instantons on the 7-sphere. He has delivered lectures on topics such as the quaternionic Hopf fibration and developments in Yang-Mills flow.

• Research areas: Differential Geometry, Special Holonomy, Geometric PDEs
• Key lectures: G2-instantons on S^7, Recent developments in Yang-Mills flow

His publications highlight advancements in Uhlenbeck compactness, Lojasiewicz inequalities, and regularity theory for geometric flows.