Peter Tingley

Peter Tingley is a Professor and Department Chair in the Department of Mathematics and Statistics at Loyola University Chicago. He holds a PhD from UC Berkeley (2008) and has held postdoctoral positions at MIT and the University of Melbourne. His research focuses on combinatorial and geometric representation theory, with a particular emphasis on crystal bases and their connections to Lie groups and quantum groups. He employs tools from algebra, combinatorics, geometry, and topology in his work.

Education:

• Bachelor's degree from University of Waterloo, Canada
• Master's degree from Carleton University, Canada
• PhD in Mathematics from UC Berkeley (2008)

Research interests emphasize the interplay between algebraic structures and geometric/combinatorial methods. Key areas include crystal bases, PBW bases, MV polytopes, and categorification techniques. He has contributed to foundational work on affine Grassmannian slices and truncated shifted Yangians.

Publications span representation theory, algebraic geometry, and pedagogical innovations in active learning. His work bridges pure mathematics with educational practice, reflecting his dual role as researcher and academic leader.