Topology
Math Faculty 

Areas of Research 
Mark Behrens  Algebraic Topology  
Karsten Grove  Differential Geometry  
Anibal Medina  Algebraic and Geometric Topology, Mathematical Physics, Homological Algebra, Topological Data Analysis, Machine Learning  
Pavel Mnev  Mathematics Physics  
Liviu Nicolaescu  Topology  
Andrew Putman  Geometry, Topology, Group Theory, and Representation Theory  
Marco Radeschi  
Christopher SchommerPries  Topology, Higher Category Theory, and Quantum Field Theory  
Jay Shah  Algebraic Topology and Higher Category Theory  
Stephan A. Stolz  Geometric and Algebraic Topology; Differential Geometry  
Daniel Studenmund  Topology and Geometric Group Theory  
Laurence R. Taylor  Geometric Topology, Algebraic Ktheory, Surgery Theory and Algebraic Topology  
Emeritus Faculty 

Areas of Research 
Francis X. Connolly  Differential and Algebraic Topology  
John E. Derwent  Differential and Algebraic Topology  
William G. Dwyer  Homotopy Theory 
Advancing Our Vision: Topology and Quantum Field Theory
“Topology and Quantum Field Theory”
This is a new research group to explore the intersection of mathematics and physics, with a focus on faculty hires to help generate discoveries in quantum field theory that fuel progress in computer science, theoretical physics and topology. This group is led by Stephan Stolz, Rev. John A. Zahm, C.S.C., Chair in Mathematics.