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Julie Bergner

Michler Fellow, Visiting Scholar

Julie Bergner

Educational Background

  • Ph.D. (2005) University of Notre Dame

Website(s)

Overview

Research Focus

Homotopy theory, algebraic topology

My research is concerned with the homotopy theory of different kinds of algebraic structures, often themselves taken to be defined up to homotopy.  In particular I have compared different approaches to notions of categories up to homotopy, as well as variants such as homotopical higher categories and homotopy operads.  Currently, I am interested 2-Segal spaces, which can be thought of as topological category-like structures but for which composition is not always defined.  They are particularly interesting because they arise as the output of the Waldhausen construction in algebraic K-theory.  I am interested looking at different examples of algebraic K-theory through this lens, as well as investigating algebraic objects such as Hall algebras which can in turn be produced from 2-Segal spaces.

Departments/Programs

  • Mathematics

Publications