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 |
Arithmetic Veech subgroups of SL(2,Z). |
J. Ellenberg and D. B. McReynolds |
To appear in Duke Math. J. |
Asymptotic growth and least common multiples in groups. |
K. Bou-Rabee and D. B. McReynolds |
To appear in Bull. LMS |
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. |
Collisions at infinity in hyperbolic manifolds. |
D. B. McReynolds, A. W. Reid, M. Stover |
Submitted. |
Extremal behavior of divisibility functions on linear groups. |
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) |
Geodesic submanifolds of rank one arithmetic manifolds. |
D. B. McReynolds |
Working draft. (Status: 35 pages) |
In progress |
Title |
Authors |
Status |
Factoring conjugacy classes. |
L. Louder and D. B. McReynolds |
In progress. |
Finer structure in length spectra. |
J.-F. Lafont and D. B. McReynolds |
In progress. (Partial working drafts) |
Intermediate regulators and small volume flats. |
T. Chinburg and D. B. McReynolds |
In progress. (Partial working drafts) |
Group actions on varieties and isometry groups of hyperbolic manifolds. |
J. Ellenberg and D. B. McReynolds |
Hibernation. Working draft awaiting updates. |
Counting geodesic submanifolds. |
D. B. McReynolds and A. Mohammadi |
Hibernation. |
On the dynamics of Hammer's X-ray problem. |
D. B. McReynolds and B. Schmidt |
Life support. Several partial unwritten results. |
Irreducible lattices in linear algebraic groups. |
M. Belolipetsky, B. Farb, and D. B. McReynolds |
Life support. Working draft awaiting updates/work. |
Thesis, monographs, proceedings, .etc. |
Title |
Authors |
Status (ask for a copy) |
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 (3) |
Walter Neumann (1) |
Lars Louder (1+) |
Khalid Bou-Rabee (2+) |
Jordan Ellenberg (1+) |
Amir Mohammadi (0++) |
Ben Schmidt (0+) |
Misha Belolipetsky (0+) |
Benson Farb (1+) |
Ted Chinburg (0+) |
Jean Lafont (0+) |
Skip Garibaldi (0) |
Dave Morris (0) |
Ian Biringer (0) |
Carolyn Gordon (0) |
Julie Rowlett (0) |
Giannis Platis (0) |
Elisha Falbel (0) |
Matt Stover (1) |
Ruth Gornet (0+) |
Yoshi Kamishima (0+) |
Jason Deblois (0) |
Jeremy Kahn (0) |