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Math Prof Wins Grant to Study Infinite Loop Spaces

By Randall S. Barton on July 16, 2015 03:42 PM

Prof. Angelica Osorno [math 2013-] has won a Collaboration Grant for Mathematicians in the amount of $35,000 from the Simons Foundation to study infinite loop spaces.

An infinite loop space is a topological space that has a multiplication that is associative, commutative, and unital up to all higher homotopies. Infinite loop spaces are closely related to generalized cohomology theories, and are thus of great importance in algebraic topology.

Prof. Osorno is the principal coordinator on the project, “Categorical inputs for infinite loop machine spaces,” which centers on two aspects of infinite loop space theory: infinite loop space machines for 2-categories and equivariant infinite loop space machines.