I am a third year PhD student in geometric topology, with Dr Saul Schleimer. I study the real locus of the shape variety of hyperbolic three manifolds with torus boundary. I look at how this interacts with the boundary of Dehn surgery space and representations of the knot group.

Talks

• Oct 2023 - Hyperbolic Knot Theory - Warwick Mathematics Postgraduate Seminar
• Feb 2024 - The Real Locus of the Shape Variety - Bristol Junior Geometry Seminar
• Mar 2024 - The Real Locus of the Shape Variety - Southampton Pure Mathematics PGR Seminar
• Apr 2024 - A "canonical" finite representation of the figure-eight knot group - Women in Number Theory and Geometry Conference
• Jun 2024 - Taut triangulations and representations of the knot group - KCL/UCL Junior Geometry

Conferences

• YGGTXII - Young Geometry Group Theory XII - 8th-12th April
• WINGS - Women in Number Theory and Geometry - 15th-18th April

Education

I studied the MMath Master of Mathematics at the University of Southampton. My Masters dissertation was on the intersection graph of the mapping class group, supervised by Professor Jim Anderson. My Bachelors dissertation was on the face rings of simplicial complexes, supervised by Professor Jelena Grbic.

Contact

My email address is: Abigail.Hollingsworth@warwick.ac.uk