Publications  D. D. Long
A preprint accessible below may differ somewhat from its final published
version, in particular some of the earlier papers may be without their
figures. Preprints are in .pdf format and so may be read using the free Acrobat
Reader.

Strongly plus amphicheiral knots are algebraically slice. Math.
Proc. Camb. Phil. Soc. vol. 95 (1984), pp. 309  312.

Planar kernels in surface groups. Oxford Quart. J. of Math.
vol. 35 (1984), pp. 305  310.
 (with A. J. Casson)
Algorithmic compression of surface automorphisms. Inventiones Math.
vol. 81 (1985), pp. 295  303.

A note on the normal subgroups of mapping class groups. Math.
Proc. Camb. Phil. Soc. vol. 99 (1986), pp. 295 
303.

Constructing pseudoAnosov maps.Knots and manifolds. Ed. D.
Rolfsen. SpringerVerlag Lecture Notes No. 1144, pp. 108  114.

Discs in compression bodies. Pacific Journal of Math. vol. 122
(1986), pp. 129  146.
 (with H. R. Morton)
Hyperbolic 3manifolds and surface automorphisms. Topology
vol. 25 (1986), pp. 575  583.
 (with S. Kojima)Virtual Betti numbers of some hyperbolic manifolds.
A Fete of Topology. Ed. Y. Matsumoto et al. Academic
Press, pp. 417  437.

Maximal subgroups in mapping class groups. Preprint.

Immersions and embeddings of totally geodesic surfaces.
Bulletin London
Math. Society vol. 19 (1987), pp. 481  484.
 (with S. P. Humphries)
On the Mal'cev quotients of certain hyperbolic link groups. Math. Proc.
Camb. Phil. Soc. vol. 102 (1987), pp. 475  480.

Bounding laminations.
Duke J. of Math. vol. 56 (1988), pp. 1  16.
 (with U. Oertel)
Hyperbolic surface bundles over the circle. Progress in Knot theory
and related topics. No. 56 (1997) pp. 121  142.

Engulfing and subgroup separability for hyperbolic groups.
Transactions of the American Math. Society. vol. 308 (1988), pp. 849  859.

On the linear representation of braid groups. Transactions of
the American Math. Society. vol. 311 (1989), pp. 535  560.

On the linear representation of braid groups II. Duke J. of
Math. vol. 59 (1989), pp. 443  460.

On pseudoAnosov maps which extend over two handlebodies.
Proc. Edinburgh Math. Soc. vol. 33 (1990), pp.181  190.
 (with G. Niblo)
Subgroup separability and 3manifold groups.
Math. Zeitschrift
vol. 207 (1991), pp. 209  215.
 (with D. Cooper)
An undetected slope in a knot manifold. Topology 90: Proceedings
of the Ohio Conference. pp. 111 121.

(with C. Frohman) Casson's invariant and surgery on knots.
Proc. Edinburgh Math. Soc. vol. 35 (1992), pp. 383 
395.
 (with D. Cooper)
Representing knot groups into SL(2,C).
Proceedings American Math. Society vol. 116 (1992) pp. 547  549
 (with D. Cooper)
Derivative varieties and the pure braid group.
American J. of Math. vol. 115 (1993) pp. 137  160.
 (with A. W. Reid)
Closed incompressible surfaces in 2generator hyperbolic
3manifolds with a single cusp. Proc.
Edinburgh Math. Soc. vol. 36 (1993) pp. 501  513.
 (with M. Paton)
The Burau Representation is not faithful for n >= 6.
Topology vol. 32 (1993) pp. 439  447.
 (with D. Cooper)
Roots of unity associated to the character variety of a knot
complement.
Journal of the Australian Math. Soc. vol. 55 (1993) pp. 90  99.
 (with J.S. Birman and J. Moody)
Finite dimensional representations of Artin's Braid group. The
Mathematical legacy of W. Magnus.
Ed. W. Abikoff et al. Contemporary Math. vol. 169 pp. 123 132.
 (with D. Cooper, M. Culler, H. Gillett and P. B. Shalen)
Plane curves associated to character varieties of 3manifolds.
Inventiones Math. vol. 118 (1994) pp. 47  84.
 (with D. Cooper and A. W. Reid)
Bundles and finite foliations.
Inventiones Math. vol. 118 (1994) pp. 255  283.
 Constructing representations of braid groups.
Communications in Geometry and Analysis. vol. 2 (1994) pp. 217  238.
 (with D. Cooper)
A Kleinian group with contractible quotient not simply connected
at infinity.
Comment. Math. Helv. vol. 71 (1996) pp. 41  59.
 (with D. Cooper)
Remarks on the Apolynomial of a knot. Journal of Knot Theory and
its Ramifications. vol. 5, (1996) pp. 609  628.

(with D. Cooper and A.W. Reid)
Finite foliations and similarity interval exchange maps.
Topology. vol 36, (1996) pp. 209  227.
 (with D. Cooper)
The Apolynomial has ones in the corners. Bulletin London Math. Soc. vol.29 (1997), pp. 231238.

(with C. Maclachlan and A.W. Reid)
Splitting groups of signature (1:n).
Journal of Algebra. vol 185, (1996) pp. 329  341.
 (with D. Cooper)
A presentation for the image of Burau(4) tensor Z_{2}.
Inventiones Math. vol. 127 (1997), pp. 535  570.

(with D. Cooper)
Foliations of some 3manifolds which fiber over the circle.
Proceedings American Math. Society vol. 126 (1998), pp. 925  931.
 (with D. Cooper)
Representation theory and the Apolynomial of a knot.
Chaos Theory \& Solitons, vol. 9 (1998) pp.749  765.
 (with D. Cooper and A. W. Reid)
Essential surfaces in bounded 3manifolds.
Journal American Math. Society vol. 10 (1997) pp. 553  564.
 (with D. Cooper and A. W. Reid)
Infinite Coxeter groups are virtually indicable.
Proceedings Edinburgh Math. Soc. vol. 41 (1998) pp. 303  313.
 (with A.W. Reid)
Simple quotients of hyperbolic 3manifold groups.
Proceedings American Math. Society vol. 126 (1998), pp. 877  880.
 (with A.W. Reid)
Free products with amalgamation and padic Lie groups. Canadian
Math. Bull. vol. 41 (1998), no. 4, pp. 423433.

(with A.W. Reid)
On Fuchsian groups with the same set of axes.
Bulletin London Math. Society vol. 30 (1998), no. 5, 533  538.

(With D. Cooper)
Trimming,
J. of Experimental Mathematics, vol. 7 (1998) pp. 325  332.

(With D. Cooper)
The Burau representation modulo a small prime.
Geometry and Topology Monographs, vol 1.The Epstein Birthday Schrift, pp. 127138.

(with D. Cooper)
Free actions of finite groups on rational homology spheres.
Topology and its Applications, vol. 101, (2000) pp. 143148

(with A. W. Reid)
Commensurability and the character variety.
Mathematical Research Letters, vol. 6 (1999) pp. 581 592.

(with D. Cooper)
Virtually Haken Dehn filling.
Journal of Differential Geometry, vol. 52, (1999) pp. 173187.

(with A. W. Reid)
On the geometric boundaries of hyperbolic 4manifolds.
Geometry and Topology, vol. 4 (2000) pp. 171  178.

(with D. Cooper)
Some surface subgroups survive surgery.
Geometry and Topology, vol. 5 (2001) pp. 347  367.

(with I. Agol and A. W. Reid)
The Bianchi groups are separable on
geometrically finite subgroups.
Annals of Math. vol. 153 (2001) pp. 599  621.

(with A. W. Reid)
On subgroup separability in hyperbolic Coxeter groups.
Geom. Dedicata vol. 87 (2001) pp. 245  260.

(with A. W. Reid)
Integral points on character varieties.
Math. Annalen vol. 325 (2003), pp. 299321.
 (with A. W. Reid)
The fundamental group of the double of the
figure eight knot exterior is GFERF.
Bulletin London Math. Society vol. 3 (2001) pp. 391  396.
 (with A. W. Reid)
Constructing hyperbolic manifolds which bound geometrically.
Math. Research Letters vol. 8 (2001), pp. 443455
 (with A. W. Reid)
Pseudomodular surfaces.
J. Reine Angew. Math. vol. 552 (2002) pp. 77  100.

(with A. W. Reid) All flat manifolds are cusps of hyperbolic orbifolds.
Algebraic and Geometric Topology, vol. 2 (2002) pp. 285296.

(with C. McA. Gordon and A. W. Reid)
Surface subgroups of Coxeter and Artin groups., Journal
of Pure and Applied Algebra, vol.189 (2004) pp. 135  148

(With A. W. Reid)
On asymmetric hyperbolic manifolds.,
Math. Proc. Camb. Phil. Soc. vol.138 (2005) pp. 301  306

(with A. W. Reid) Generalized Dedekind
sums., Proceedings of the Casson Fest, Geometry and Topology
Monographs, vol. 7 (2004), pp. 205212.

(with A. W. Reid)
Surface subgroups and subgroup separability in 3manifold topology,
25th Coloquio Brasileiro de Matematica, IMPA, Rio de Janeiro, 2005.

(with T. Chinburg and A. W. Reid)
Cusps of minimal noncompact arithmetic 3orbifolds.,
Pure and Applied Math. Quarterly, vol. 4, (2008) pp. 10131031.
(volume in honour of J. P. Serre)

(with C. Maclachlan and A. W. Reid)
Arithmetic fuchsian groups of genus zero., Pure and
Applied Math. Quarterly vol. 2 (2006), pp. 569599.

(with A. W. Reid)
Subgroup separability and virtual retractions of groups.,
Topology vol. 47 (2008) pp. 137  159. (Note that this article
was submitted in 2004)

(with D. Cooper and M. Thistlethwaite)
Computing varieties of representations of hyperbolic 3manifolds into
$SL(4,{\bf R})$., J. of Experimental Math.
vol. 15 (2006) pp. 291  305.

(with D. Cooper and M. Thistlethwaite)
Flexing closed hyperbolic manifolds.,
Geometry & Topology vol. 11 (2007) pp. 24132440

(with M. Lackenby and A. W. Reid)
Covering spaces of arithmetic 3orbifolds., Int. Math. Res. Not. IMRN
(2008), no. 12, doi: rnn036
38 pages

(with T. Chinburg, E. Hamilton and A. W. Reid)
Geodesics and commensurability classes of arithmetic
hyperbolic 3manifolds., Duke Math. Journal vol. 145 (2008) pp 2544.
 (with D. Cooper and A. W. Reid) On
the virtual Betti numbers of arithmetic hyperbolic 3manifolds.
Geometry & Topology vol. 11 (2007) pp. 22652276
 (with A. Lubotzky and A. W. Reid)
Heegaard genus and Property τ for hyperbolic 3manifolds. Journal of Topology vol. 1
(2008) pp. 152  158.
 (with A. W. Reid)
Finding fibre faces in finite covers. Math. Research Letters
vol. 15 (2008) pp. 521524
 (with M. Lackenby and A. W. Reid)
LERF and the LubotzkySarnak Conjecture Geometry and Topology,
vol. 12 (2008) pp. 2047  2056
 (with D. Cooper and M. Thistlethwaite)
Constructing noncongruence subgroups of flexible hyperbolic
3manifold groups Proc. A.M.S. vol. 137 (2009), pp. 39433949
 (with A. W. Reid)
Eigenvalues of hyperbolic elements in Kleinian groups. Contemporary Math. vol. 510,
In the Tradition of AhlforsBers, pp. 197208
 (with C. Leininger and A. W. Reid)
Commensurators of finitely generated nonfree Kleinian groups.
Algebraic and Geometric Topology, vol. 11 (2011) pp. 605624
 (with A. W. Reid)
Grothendieck's problem for 3manifold groups.
Groups, Geometry and Dynamics, vol. 5 (2011) pp. 479  499
 (with A. W. Reid)
Small subgroups of SL(3,Z). Experimental Math. vol. 20, (2011)
pp. 412425.
 (with A. W. Reid and M. Thistlethwaite)
Zariski dense surface subgroups in SL(3,Z).
Geometry and Topology, vol. 15 (2011) pp. 1  9
 (with A. W. Reid)
Fields of definition of canonical curves. Interactions Between
Hyperbolic Geometry, Quantum Topology and Number Theory,
Contemporary Math. vol. 541 (2011), pp. 247  257
 (with D. Cooper and S. Tillmann)
On convex projective manifolds and cusps Advances in Math. vol. 277 (2015) pp. 181  251.
 (with A. W. Reid)
Constructing thin subgroups in SL(4,R) International
Math. Research Notices. vol. 2014 No. 7 (2014) pp. 2006  2016. doi: 10.1093/imrn/rns281
 (with A. W. Reid)
Constructing thin groups. Thin Groups and superstrong approximation, MSRI Publications vol. 61 (2013) pp. 151 166.
 (with D. Cooper)
A generalization of the EpsteinPenner construction to projective manifolds.
Proc. A.M.S. vol. 143 (2015) pp. 45614569.
 (with M. Thistlethwaite)
LenstraHurwitz cliques and the class number one problem.
Journal of Number Theory vol. 162 (2016) pp. 564  577
 (with S. Ballas )
Constructing thin subgroups commensurable with the figureeight knot group.
Algebraic and Geometric Topology vol. 15 (2015), pp. 30093022. doi: 10.2140/agt.2015.15.3009
 (with A. W. Reid)
Thin surface subgroups in cocompact lattices in SL(3,R) Illinois J. of Math. vol. 60 (2016) pp. 39  53
 (with D. Cooper and S. Tillmann)
Deforming convex projective manifolds Geometry and Topology, vol. 22 (2018), pp. 1349  1404
 (with M. Thistlethwaite)
Zariski dense surface subgroups in SL(4,Z). J. of Experimental Math.
vol. 27 (2018) pp. 82  92.
 (with M. Thistlethwaite)
The Dimension of the Hitchin Component for Triangle Groups. Geometriae Dedicata vol. 200 (2019) pp. 363  370. https://doi.org/10.1007/s1071
 (with A. W. Reid)
Sequences of high rank lattices of large systole containing a fixed genus surface group. New York Journal of Math, vol. 25 (2019), pp. 145  155.
 (with S. Ballas)
Constructing thin subgroups of SL(n+1,R) via bending. Algebraic and Geometric Topology, vol. 20 (2020), pp. 2071  2093.
 (with A. Kontorovich, A. Lubotzky & A. W. Reid)
What is.... a Thin Group? Notices A.M.S. vol. 66 (2019) pp. 905  910.
 (with A. W. Reid)
Virtually spinning hyperbolic manifolds. Proceedings of the Edinburgh Math. Soc. vol. 63 (2020), pp. 305  313.
 (with M. Thistlethwaite)
Zariski dense surface groups in SL(2k+1,Z). Preprint.
 (with A. W. Reid)
Strongly dense representations of surface groups. Preprint.
A preprint accessible above may differ somewhat from its final published
version. Preprints are in .pdf format and so may be read using the free Acrobat
Reader.