## Teaching

### Fall 2020

This semester, I'm teaching Math 1013 (Trigonometry), Math 1101 (Calculus
I), and Math 3111 (Linear Algebra). Students can find their course info on
Canvas.

Past teaching

## Research

Students occasionally ask me about my research. Here is an accessible,
relatively nontechnical explanation: Research
Description (pdf).

### Publications:

*Guts and volume for hyperbolic 3-orbifolds with underlying
space S³*
with Jessica Mallepalle, Joseph
Melby, Shawn
Rafalski, and Jennifer Vaccaro. *Topology
and its Applications*, Volume 243, 1 July 2018, Pages
100–113 arXiv
link

*The lowest volume 3-orbifolds with high torsion* with David Futer,
*Transactions of the American Mathematical Society*, 369 (2017)
5809-5827, arXiv link

*Small volume link orbifolds* with David Futer,* Mathematical Research
Letters* *20* (2013), Issue 6, 995-101, arXiv link

*The smallest Haken hyperbolic polyhedra* with Shawn Rafalski.
*Proceedings
of the American Mathematical Society* 141 (2013) 1393-1404. arXiv link

*Two-sided combinatorial volume bounds for non-obtuse hyperbolic
polyhedra* *
Geometriae Dedicata*, Volume 153, Number 1, Pages 177-211 (2011).
arXiv link

*Volume estimates for equiangular hyperbolic Coxeter polyhedra*
*Algebraic &
Geometric Topology* 9 (2009) 1225-1254. arXiv link

## Slides, pictures, and miscellany

Fly around in the smallest volume orientable hyperbolic
3-orbifold: Click
here!

Slides (pdf) from 2016 talk on "Guts and
volume for a certain family of hyperbolic 3-orbifolds" at the fall 2016
Central Sectional Meeting of the AMS

Slides (pdf) from 2016 talk on "Hyperbolic
3-orbifolds with high torsion" at "Advances
in quantum and low-dimensional topology" conference at the University
of Iowa

Slides (pdf) from 2014 talk on
"Small volume link orbifolds" at
the International Congress of Mathematicians in Seoul.