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

Extension: 4-0198

- Dehn surgery and hyperbolic knot complements without hidden symmetries
(with Eric Chesebro, Neil Hoffman,

Christian Millichap, Priyadip Mondal, and Will Worden).*International Math Research Notices*(2023), no. 6,

5293--5351. arxiv:2009.14765 - Generic hyperbolic knot complements without hidden symmetries
(with Eric Chesebro and Priyadip Mondal).

To appear,*Communications in Analysis and Geometry*. arXiv:1910.047212 - The maximal injectivity radius of hyperbolic surfaces with
geodesic boundary (with Kim Romanelli).

*Geometriae Dedicata***210**(2021), 103--129. arXiv:1808.05573 - Effective virtual and residual properties of some arithmetic
hyperbolic 3-manifolds (with
Nicholas Miller
and

Priyam Patel).*Transactions of the American Mathematical Society***373**(2020), no. 11, 8219--8257.

arXiv:1806.02360 - Bounds for several-disk packings of hyperbolic surfaces.
arXiv:1701.07770

*Journal of Topology and Analysis***12**(2020), no. 1, 131--167. - Incompressible solvable representations of surface groups (with
Daniel Gomez).
arXiv:1704.01007

*Topology and its Applications***229**(2017), 200--212. - The local maxima of maximal injectivity radius among hyperbolic
surfaces.
arXiv:1506.08080

*Indiana University Mathematics Journal***66**(2017), no. 4, 1173--1187. - 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
- 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.

Topics in Topology (Fall 2019)

Matrices and Linear Operators 1/2 (Fall 2018 / Spring 2019)

Topology 2 (Spring 2018, Spring 2016, Spring 2012)

Advanced Calculus 1/2 (Fall 2016 / Spring 2017)

Differential Geometry 1/2 (Fall 2014 / Spring 2015)

GTP@Pitt, May 14-15 2014.

Chern-Simons theory: geometry, topology and physics, May 4-6 2013.

Department home.

Pitt home.