Bradley Zykoski
About Me
Research
Teaching
Notes
Talks
Research talks
1.
A polytopal decomposition of strata of translation surfaces
(
slides
)
Mini-courses
3.
Principal bundles
(slides from:
day 1
,
day 2
,
day 3
,
day 4
,
day 5
)
2.
Translation surfaces
, joint with
Mark Greenfield
(
references
)
1.
Pre-workshop learning group on Higgs bundles
(
workshop page
)
Graduate seminar talks
13.
Fundamental groups and flat connections
12.
Circle bundles
11.
Spin structures
(
notes
)
10.
Retracting the moduli space of curves
(
notes
)
9.
Rational billiards
(
notes
) (
related slides
)
8.
Teichmüller spaces are complex manifolds
(
notes
)
7.
McShane's identity
(
notes
)
6.
An introduction to Morse theory
5.
Counting simple geodesics, part I: Integration over moduli space
4.
A brief tour of Teichmüller theory
3.
TQFTs in context
(
notes
)
2.
An introduction to Khovanov homology
(
notes
)
1.
Link invariants via quantum sl2 representations
(
notes
)
Undergraduate research talks
2.
A unified approach to Fiedler-like pencils
, joint with
Rafael Saavedra
(
slides
)
1.
Lower bound cluster algebras and Stanley-Reisner complexes
(
slides
)