Email: my first initial then my last name, at "pitt.edu"

Extension: 4-0198

- Incompressible solvable representations of surface groups (with Daniel Gomez). arXiv:1704.01007
- Bounds for several-disk packings of hyperbolic surfaces. arXiv:1701.07770
- Residual finiteness growths
of closed hyperbolic manifolds in non-compact right-angled reflection
orbifolds

(with D.B. McReynolds, Jeffrey S. Meyer, and Priyam Patel).

- The local maxima of maximal injectivity radius among hyperbolic
surfaces.
arXiv:1506.08080

To appear,*Indiana University Mathematics Journal*. - Bounding the area of a centered dual two-cell below, given lower
bounds on its side lengths.
arXiv:1506.07978

*New York Journal of Mathematics***23**(2017), 315--349. - Hidden symmetries via hidden extensions (with
Eric Chesebro).
arXiv:1501.00726

*Proceedings of the American Mathematical Society***145**(2017), no. 8, 3629--3644. - The Delaunay tessellation in hyperbolic space. arXiv:1103.4604 To appear,
- The geometry of cyclic hyperbolic polygons.
arXiv:1101.4971

*Rocky Mountain Journal of Mathematics***46**(2016), no. 3, 801--862. - Explicit rank bounds for cyclic covers.
arXiv:1310.7823

*Algebraic and Geometric Topology***16**(2016), no. 3, 1343--1372. - The centered dual and the maximal injectivity radius of hyperbolic
surfaces.
arXiv:1308.5919

*Geometry and Topology***19**:2 (2015), 953--1015. - Rank gradients of infinite cyclic covers of 3-manifolds (with
Stefan Friedl and
Stefano Vidussi).
arXiv:1212.4192

*Michigan Mathematical Journal***63**(2014), no. 1, 65--81. - Algebraic invariants, mutation,
and commensurability of link complements (with
Eric Chesebro).
arXiv:1202.0765

*Pacific Journal of Mathematics***267**(2014), No. 2, 341--398. - Some virtually special hyperbolic 3-manifold
groups (with Chesebro
and Henry Wilton).

*Commentarii Mathematici Helvetici***87**(2012), no. 3, 727--787. - Cross curvature flow on a negatively
curved solid torus
(with Dan Knopf and
Andrea Young).

*Algebraic and Geometric Topology***10**(2010), no. 1, 343--372. - On the doubled tetrus.
*Geometriae Dedicata***144**(2010), 1--23. - Volume and topology of bounded and closed
hyperbolic 3-manifolds
(with Peter Shalen).

*Communications in Analysis and Geometry***17**(2009), no. 5, 797--850. - Incompressible surfaces, hyperbolic volume,
Heegaard genus, and homology
(with Marc Culler
and P. Shalen).

*Comm. Anal. Geom.***17**(2009), no. 2, 155--185. - Totally geodesic surfaces and
homology.
*Algebr. Geom. Topol.***6**(2006), 1413--1428. - Surface groups are frequently
faithful.
(with Autumn Kent)
*Duke Mathematical Journal***131**(2006), no. 2, 351--362.

Advanced Calculus 2 (Spring 2017)

Advanced Calculus 1 (Fall 2016)

Topology 2 (Spring 2016)

Differential Geometry 2 (Spring 2015)

Differential Geometry 1 (Fall 2014)

Topology 2 (Spring 2012)

Department home.

Pitt home.