A model of the Cayley Graph of triangle group
Δ
(
2
,
3
,
7
)
made by Nelson Odins-Jones (left) and myself (right) for a Geometric Group Theory assignment at AMSI Summer School 2023. Photograph by Max Martin Mikkelsen.
Damian Lin
I am a master's student and a postgraduate teaching fellow in the
School of Mathematics and Statistics
at the
University of Sydney
.
Postal address:
Mr Damian Lin
School of Mathematics and Statistics F07
University of Sydney NSW 2006
Australia
Email:
Room:
Carslaw 807
Research Interests
My interests lie in quantum topology and geometric topology, specifically:
Vassiliev/Finite type invariants of knots, welded knots, homology cylinders, etc.,
Graph cohomology,
Topological approaches to the Kashiwara-Vergne conjecture.
In particular, some things I am currently thinking about, or want to work on include:
Extending Willerton's combinatorial ''half'' integration for singular knot invariants,
The relationship between the stratification of the space of knots and Kontsevich's graph cohomology.
Recent Work
Mutation, Surface Graphs, and Alternating Links in Surfaces
Preprint with Hans Boden, Zsuzsanna Dancso, Tilda Wilkinson-Finch.
Mutation Invariants of Alternating Virtual Knots
Honours thesis, supervised by Associate Professor Zsuzsanna Dancso.
Work In Progress
Master's Thesis
Cool Things
Conway/Jones Polynomial Symbol Calculator
A very buggy WASM web app I wrote in Yew, and a link to a CLI version of the same tool (only the web app is buggy).
