Papers and Preprints. ArXiv



Title

Authors

Status

Peripheral separability and cusps of arithmetic hyperbolic orbifolds.

D. B. McReynolds

Algebr. and Geom. Topol. 4 (2004), 721-755.

Finite subgroups of arithmetic lattices in U(2,1).

D. B. McReynolds

Geom. Dedicata 122 (2006), 135-144.

Separable subgroups of the mapping class groups

C. J. Leininger and D. B. McReynolds

Topology Appl. 154 (2007), 1-10.

Arithmetic cusp shapes are dense.

D. B. McReynolds

Geom. Dedicata 129 (2007), 47-55.

Length and eigenvalue equivalence

C. J. Leininger, D. B. McReynolds, W. D. Neumann, A. W. Reid

IMRN 2007 (24), 24 pages.

Arithmetic lattices and weak spectral geometry.

D. B. McReynolds

Topology, Complex Analysis, and arithmetic of hyperbolic spaces, RIMS 1571 (2007), 59-81.

Cusps of Hilbert modular varieties.

D. B. McReynolds

Math. Proc. Cambridge Philos. Soc. 144 (2008) , 749-759. Corrigendum: Math. Proc. Cambridge Philos. Soc. 144 (2008), 761.

Graphs of subgroups of free groups

L. Louder and D. B. McReynolds

Algebr. and Geom. Topol. 9 (2009), 327-335.

Controlling manifold covers of orbifolds.

D. B. McReynolds

Math. Res. Lett. 16 (2009), 651-662.

Bertrand's postulate and subgroup growth.

K. Bou-Rabee and D. B. McReynolds

J. of Algebra 324 (2010) 793-819

Every curve is a Teichmuller curve.

J. Ellenberg and D. B. McReynolds

To appear in Duke Math. J.

Isospectral locally symmetric manifolds

D. B. McReynolds

Submitted.

The congruence subgroup problem for braid groups: Thurston's proof.

D. B. McReynolds

Submitted.

The genus spectrum of hyperbolic 3-manifolds.

D. B. McReynolds and A. W. Reid

Submitted.

Asymptotic growth and least common multiples in groups.

K. Bou-Rabee and D. B. McReynolds

Submitted.

Quantifying Mal'cev's Theorem.

K. Bou-Rabee and D. B. McReynolds

Working draft. (Status: 5 pages)

Geometric spectra and commensurability.

D. B. McReynolds and A. Mohammadi

Working draft. (Status 8 pages)

Cohomological dimension spectrum of a group.

B. Farb and D. B. McReynolds

Working draft. (Status: 15 pages)

Group actions on varieties and isometry groups of hyperbolic manifolds.

J. Ellenberg and D. B. McReynolds

Working draft (Status: 7 pages).

Geodesic submanifolds of rank one arithmetic manifolds.

D. B. McReynolds

Working draft. (Status: 35 pages)



In preparation



Title

Authors

Status

Counting geodesic submanifolds.

D. B. McReynolds and A. Mohammadi

In preparation.

On the dynamics of Hammer's X-ray problem.

D. B. McReynolds and B. Schmidt

In preparation.

Irreducible lattices in linear algebraic groups.

M. Belolipetsky, B. Farb, and D. B. McReynolds

In preparation.



Thesis, monographs, proceedings, .etc.



Title

Authors

Status

Cusps of arithmetic orbifolds.

D. B. McReynolds

Thesis, May 2006.

Arithmetic lattices in SU(n,1).

D. B. McReynolds

Working partial draft. (79 page mongraph, 6-19-2006)

Fully residually free aspherical Kahler groups are Fuchsian.

D. B. McReynolds

Pre-pre-never-print. (4 pages)

A generalization of Long's verbal lemma (don't look too closely at this.)

D. B. McReynolds

Pre-pre-never-print. (4 pages)



Past, present, and future collaborators



Chris Leininger (2)

Alan Reid (2)

Walter Neumann (1)

Lars Louder (1)

Khalid Bou-Rabee (3)

Jordan Ellenberg (2)

Amir Mohammadi (2)

Ben Schmidt (1)

Misha Belolipetsky (1)

Benson Farb (2)

Jean Lafont (0)

Skip Garibaldi (0+)

Dave Morris (0+)

Ian Biringer (0)

Carolyn Gordon (0)

Julie Rowlett (0)

Emmanuel Breuillard (0)

Giannis Platis (0)

Elisha Falbel (0)

Matt Stover (0)

Ruth Gornet (0+)

Yoshi Kamishima (0+)

Jason Deblois (0)

Jeremy Kahn (0)