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Prof. Kate Petersen
November 16, 2022 @ 4:15 pm - 5:30 pm
Title: Decision Problems in Low-Dimensional Topology
Abstract: Due to Perelman’s proof of the Geometrization conjecture every closed 3-manifold can be decomposed into geometric pieces. These pieces exhibit one of Thurston’s eight model geometries. This gives rise to the natural question: Given a 3-manifold how (quickly) can you determine its geometry? We will discuss this question, including some recent advances. This is joint work with Neil Hoffman.
My research interests are in number theory and topology. After completing my undergraduate degree at Oberlin College, I earned my PhD in 2005 at the University of Texas at Austin under the direction of Alan Reid. My PhD work was in arithmetic groups, which bridge number theory and topology. Following my PhD I had a postdoc at Queen’s University in Kingston Ontario where I worked in number theory with Ram Murty. I spent a semester visiting the Fields Institute before joining Florida State as a tenure-track Assistant Professor. I earned tenure there in 2015. In 2021 I joined the faculty of University of Minnesota Duluth where I am now the head of the Mathematics and Statistics Department.