Projects
Other Fun Stuff
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 interests are low dimensional topology and geometric analysis.
Papers:
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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
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I. Beach. Short Simple Geodesic Loops on a 2-Sphere. 2024.
arXiv:2407.12673
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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:
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I. Beach, H. Contreras Peruyero, E. Griffin, R. Rotman, C. Searle. Lengths of Orthogonal Geodesic Chords on Riemannian Manifolds. 2024.
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I. Beach. Short Simple Orthogonal Geodesic Chords on a 2-Disk with Convex Boundary. 2024.
Presentations:
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JMM 2023. The Length of the Shortest Closed Geodesic on a Surface of Finite Area. PDF slides.
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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.
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Midwest Geometry Conference 2022. The Length of the Shortest Closed Geodesic on a Surface of Finite Area.
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AMS Spring Eastern Meeting 2021. The Length of the Shortest Closed Geodesic on a Surface of Finite Area. PDF slides.
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CUMC 2019. The Beauty of the Hyperbolic Plane. Powerpoint slides.
Teaching:
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Summer 2023: MAT135 (TA)
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Spring 2023: MAT247 (TA)
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Fall 2022: MAT240 (TA), MAT464/MAT1342 (TA)
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Spring 2022: MAT224 (Grading TA)
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Fall 2021: MAT464/MAT1342 (TA)
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Summer 2021: MAT133 (Lecture TA)
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Spring 2020: MAT136 (TA)
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Fall 2019: MAT135 (TA)
Design: