Dionne Ibarra
Research Fellow at Monash University
Contact Details
Research Interests
Low-Dimensional Topology
Knot Theory
Triangulations of 3-manifolds
Dehn Surgery
Quantum Invariants
3-manifold Invariants
Skein Modules
Braid groups and the Temperley-Lieb algebras
Hobbies
Bouldering
Cooking
Running
Traveling
About Me
I am a postdoctoral mathematician and author of Lectures in Knot Theory. I am currently a Research Fellow at Monash University under the supervision of Professor Jessica Purcell.
I completed a Ph.D. in the Spring of 2022 from The George Washington University under the supervision of Professor Jozef H. Przytycki.
I am a member of AMS, AustMS, and Women in Maths SIG.
I am interested in low-dimensional topology; studying 3- and 4-manifolds via Dehn surgery, Dehn fillings, triangulations of 3-manifolds, hyperbolic knot theory, quantum topology, and 3-manifold invariants.
A few examples of conjectures I think about
The AJ conjecture
The volume conjecture
The generalized property R conjecture