E-mail:

isabel (dot) beach (at) mail (dot) utoronto (dot) ca

About Me:

I am a mathematics PhD student at the University of Toronto. My main research interest is quantitative geometry.

Papers:

• I. Beach, H. Contreras Peruyero, R. Rotman, C. Searle. Linear Bounds for the Lengths of Geodesics on Manifolds With Curvature Bounded Below. 2024. arXiv:2410.10975
• I. Beach. Short Simple Geodesic Loops on a 2-Sphere. 2024. arXiv:2407.12673
• I. Beach and R. Rotman. The Length of the Shortest Closed Geodesic on a Surface of Finite Area. Proceedings of the American Mathematical Society. 2020. arXiv:1912.07711

In Preparation:

• I. Beach, H. Contreras Peruyero, E. Griffin, R. Rotman, C. Searle. Lengths of Orthogonal Geodesic Chords on Riemannian Manifolds.
• I. Beach. Short Simple Orthogonal Geodesic Chords on a 2-Disk with Convex Boundary.

Presentations:

• SLMath Graduate Student Seminar Fall 2024. The Quantitative Geometry of Geodesics.
• JMM 2024. Short Simple Geodesic Loops on a 2-Sphere. PDF slides.
• JMM 2023. The Length of the Shortest Closed Geodesic on a Surface of Finite Area. PDF slides.
• Topology/Geometry Zoom Seminar 2022. The Length of the Shortest Closed Geodesic on a Surface of Finite Area. (With additional discussion on the Seifert conjecture). PDF slides.
• Midwest Geometry Conference 2022. The Length of the Shortest Closed Geodesic on a Surface of Finite Area.
• AMS Spring Eastern Meeting 2021. The Length of the Shortest Closed Geodesic on a Surface of Finite Area. PDF slides.
• CUMC 2019. The Beauty of the Hyperbolic Plane. Powerpoint slides.

Teaching:

• Spring 2025: MAT187 (Instructor)
• Spring 2024: MAT224 (TA)
• Fall 2023: MAT464/MAT1342 (TA)
• Summer 2023: MAT135 (TA)
• Spring 2023: MAT247 (TA)
• Fall 2022: MAT240 (TA), MAT464/MAT1342 (TA)
• Spring 2022: MAT224 (Grading TA)
• Fall 2021: MAT464/MAT1342 (TA)
• Summer 2021: MAT133 (Lecture TA)
• Spring 2020: MAT136 (TA)
• Fall 2019: MAT135 (TA)

Workshops:

• SLMath, Program Associate Fellowship (New Frontiers in Curvature), August 19 - December 20 2024
• Institute for Advanced Study, Summer Collaborators Program, July 3 - July 31 2024
• Banff International Research Station, Women in Geometry 3, September 24 - September 29 2023
• MSRI/University of Oxford, Metric Geometry and Geometric Analysis Summer Gradute School July 11 - July 22 2022

Design:

• I designed the newsletter for the University of Toronto Mathematics Graduate Student Association.
• I designed the poster for the 2023 and 2024 Bird's Eye Conference.