Embedded Files
[Pictured: My drawings of the Figure-8 Knot Complement]
Broadly, I like to think about knots and geometry, and especially their intersection. In particular, I like to think about hyperbolic manifolds and how we can use their geometric structure to obtain new information, such as considering deformations of those structures.
Currently, I am thinking about generalizations of bending deformations and how they can be used to address things like flexible manifolds and the Menasco-Reid conjecture.
Papers
Papers
Deformations of the Borromean Rings Link Complement, in preparation
Talk Slides
Talk Slides
As seen at GTA Philadelphia at Temple University May 2024
As seen at AMS-UMI in July 2024
As seen at Canaryfest 6.2 in July 2024 (Lightning Talk)
Learning Seminars
Learning Seminars
Fall 2020, I organized a learning seminar on the A-Polynomial.
Spring 2021, I organized a learning seminar on the Mapping Class Group.
Fall 2021, I organized the Junior Topology Seminar.
Summer 2022, I co-organizied a learning seminar on Pleated Surfaces and Eruptions, along with Fernando Camacho Cadena and Feng Zhu.
Fall 2022, I co-organized a learning seminar on Characteristic Classes, with Luis Torres and Aru Mukherjea.
Fall 2023, I organized a learning seminar on Lie Groups with Luis Torres.
Page updated
Report abuse