Contact Information

Email: kboyle at


University of Colorado, Boulder
B.A. in Mathematics, Spring 2012
B.M. in Harp Performance, Spring 2012

University of Oregon, Eugene
Ph.D in Mathematics, June 2019
Advisor: Robert Lipshitz
Thesis: On symmetries of knots and their surgeries.

Work Experience

Postdoctoral Scholar at the University of British Columbia, August 2019 - Present

Selected Talks

"Involutions on the 4-sphere and SNAcKs" at the 2nd Canadian Geometry-Topology Seminar at UQAM, November 13, 2022.

"Strongly negative amphichiral knots and involutions on the 4-ball" in the workshop "Using Quantum Invariants to do Interesting Topology" at CMO, October 25, 2022.

"A lower bound on the equivariant unknotting number for strongly negative amphichiral knots" in the workshop "Interactions of gauge theory with contact and symplectic topology in dimensions 3 and 4" at BIRS, March 10, 2022.

"Equivariant genera of strongly invertible knots" in the Geometry and Topology seminar at Michigan State University, March 16, 2021.

"Periodic knots and Alexander polynomials" in Topology, coast to coast: a virtual conference, May 13, 2020.

"Symmetries of alternating knots" in the Topology Seminar at the University of British Columbia, November 6, 2019.

"Constructing a Smith-type inequality in knot Floer homology" in the Topology Seminar at the University of British Columbia, November 21, 2018.

"The virtual cosmetic surgery conjecture" in the Symplectic Geometry, Gauge Theory and Categorification Seminar at Columbia University, October 20, 2017.


UBC topology seminar co-organizer (with Ahmad Issa), 2020 - 2021.

Summer undergraduate research co-supervisor (with Liam Watson) for a project tabulating trivial-capped tangles, Summer 2020.

Graduate Mentor for first year mathematics graduate students at the University of Oregon, Fall 2017 - Spring 2018.

Graduate student member of the math department's Graduate Affairs Committee at University of Oregon, Fall 2018 - Spring 2019.


Jack and Peggy Borsting Award for Scholastic Excellence, University of Oregon Mathematics Department, 2019.

Jack Hodges Award for Excellence in Mathematics, University of Colorado Mathematics Department, 2011.