Henry Wilton

University of Cambridge

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Preprints

All my preprints are freely available on the arXiv.

• The congruence subgroup property for mapping class groups
  and the residual finiteness of hyperbolic groups
  Henry Wilton, with an appendix by Alessandro Sisto
  Preprint, 2024
  arXiv:2410.00556
• Surface groups among cubulated hyperbolic and one-relator groups
  Henry Wilton
  Preprint, 2024
  arXiv:2406.02121
• Rationality theorems for curvature invariants of 2-complexes
  Henry Wilton
  Preprint, 2022
  arXiv:2210.09841
• Recognizing geometric 3-manifold groups using the word problem
  Daniel Groves, Jason Fox Manning & Henry Wilton
  Preprint, 2012
  arXiv:1210.2101

Journal articles

If you have a subscription, you can see a list of my published papers on MathSciNet.

• Rational curvature invariants for 2-complexes
  Henry Wilton
  Proceedings of the Royal Society A, to appear
  arXiv:2210.09853
• Uniform negative immersions and the coherence of one-relator groups
  Larsen Louder & Henry Wilton
  Invent. Math., 236(2) pp. 673–712, 2024
  arXiv:2107.08911
• Negative immersions for one-relator groups
  Larsen Louder & Henry Wilton
  Duke Math. J., 171(3) pp. 547–594, 2022
  arXiv:1803.02671
• On the profinite rigidity of surface groups and surface words
  Henry Wilton
  Comptes Rendus - Série Mathématique, 359, pp. 119–122, 2021
  arXiv:2008.12100
• One-relator groups with torsion are coherent
  Larsen Louder & Henry Wilton
  Math. Res. Lett., 27(5), pp. 1499–1511, 2020
  arXiv:1805.11976
• Profinite detection of 3-manifold decompositions
  Henry Wilton & Pavel Zalesskii
  Compositio, 155(2), pp. 246–259, 2019
  arXiv:1703.03701
• Generalized triangle groups, expanders, and a problem of Agol and Wise
  Alexander Lubotzky, Jason Fox Manning & Henry Wilton
  Comment. Math. Helv., 94(1), pp.53–66, 2019
  arXiv:1702.08200
• Essential surfaces in graph pairs
  Henry Wilton
  J. Amer. Math. Soc., 31(4), pp.893–919, 2018
  arXiv:1701.02505
• Pro-p subgroups of profinite completions of 3-manifold groups
  Henry Wilton & Pavel Zalesskii
  J. Lond. Math. Soc. (2), 96(2), pp. 293–308, 2017
  arXiv:1612.00198
• Profinite rigidity and surface bundles over the circle
  Martin R. Bridson, Alan W. Reid & Henry Wilton
  Bull. London Math. Soc., 49(5), pp. 831–841, 2017
  arXiv:1610.02410
• The structure of limit groups over hyperbolic groups
  Daniel Groves & Henry Wilton
  Israel J. Math., 226(1), pp. 119–176, 2018
  arXiv:1603.07187
• Undecidability and the developability of permutoids and rigid pseudogroups
  Martin Bridson & Henry Wilton
  Forum Math. Sigma, 5(e10), 20 pp., 2017
  arXiv:1405.4368
• Distinguishing geometries using finite quotients
  Henry Wilton & Pavel Zalesskii
  Geom. Topol., 21(1), pp. 345–384, 2017
  arXiv:1411.5212
• Stackings and the W-cycles conjecture
  Larsen Louder & Henry Wilton
  Canad. Math. Bull. 60(3), pp. 604–612, 2017
  arXiv:1410.2540
• Decision problems for 3-manifolds and their fundamental groups
  Matthias Aschenbrenner, Stefan Friedl & Henry Wilton
  Geometry and Topology Monographs 19,            pp. 201–236, 2015
  arXiv:1405.6274
• 3-manifolds everywhere
  Danny Calegari & Henry Wilton
  J. Math. Pures Appl. (9), 108(5), pp. 689–723, 2017
  arXiv:1404.7043
• The isomorphism problem for profinite completions of finitely presented, residually finite groups
  Martin Bridson & Henry Wilton
  Groups Geom. Dyn., 8(3), pp. 733–745, 2014,
  arXiv:1401.2790
• The membership problem for 3-manifold groups is solvable
  Stefan Friedl & Henry Wilton
  Algebr. Geom. Topol. 16(4), pp. 1827–1850, 2016
  arXiv:1401.2648
• The triviality problem for profinite completions
  Martin Bridson & Henry Wilton
  Invent. Math., 202(2), pp. 839–874, 2015
  arXiv:1401.2273
• Random graphs of free groups contain surface subgroups
  Danny Calegari & Henry Wilton
  Math. Res. Lett., to appear
  arXiv:1303.2700
• Separability of double cosets and conjugacy classes in 3-manifold groups
  Emily Hamilton, Henry Wilton & Pavel Zalesskii
  Jour. London Math. Soc., 87(1), pp. 269–288, 2013
  arXiv:1109.2765
• One-ended subgroups of graphs of free groups with cyclic edge groups
  Henry Wilton
  Geom. Topol., 16, pp. 665–683, 2012
  arXiv:1102.2866
• Alternating quotients of free groups
  Henry Wilton
  Enseign. Math. (2), 58, pp. 49–60, 2012
  arXiv:1005.0015
• On the difficulty of presenting finitely presentable groups
  Martin Bridson & Henry Wilton
  Groups Geom. Dyn. 5(2), pp. 301–325, 2011
  arXiv:1003.5117
• Polygonal words in free groups
  Sang-hyun Kim & Henry Wilton
  Q. J. Math., 63(2), pp. 399–221, 2012
  arXiv:0910.4709
• Conjugacy separability of 1-acylindrical graphs of free groups
  Owen Cotton-Barratt & Henry Wilton
  Math. Z., 272(3), pp. 1103–1114, 2012
  arXiv:0906.0101
• Some virtually special hyperbolic 3-manifold groups
  Eric Chesebro, Jason DeBlois & Henry Wilton
  Comment. Math. Helv., 87(3), pp. 727–787, 2012
  arXiv:0903.5288
• On surface subgroups of doubles of free groups
  Cameron Gordon & Henry Wilton
  Jour. London Math. Soc. (2) 82(1), pp. 17–31, 2010
  arXiv:0902.3693
• Profinite properties of graph manifolds
  Henry Wilton & Pavel Zalesskii
  Geometriae Dedicata, 147, pp. 29–45, 2010
  arXiv:0807.3727
• Conjugacy classes of solutions to equations and inequations over hyperbolic groups
  Daniel Groves & Henry Wilton
  J. Topol. 3(2), pp. 311–332, 2010
  arXiv:0710.1892
• Virtual retractions, conjugacy separability and omnipotence
  Henry Wilton
  J. Algebra 323, pp. 323–335, 2010
  arXiv:0809.2308
• Enumerating limit groups
  Daniel Groves & Henry Wilton
  Groups Geom. Dyn. 3, pp. 389–399, 2009
  arXiv:0704.0989
• Residually free 3-manifolds
  Henry Wilton
  Algebr. Geom. Topol. 8, pp. 2031–2047, 2008
  arXiv:0802.0883
• Subgroup separability in residually free groups
  Martin Bridson & Henry Wilton
  Math. Z. 260, pp. 25–30, 2008
  arXiv:0706.4247
• Hall's Theorem for limit groups
  Henry Wilton
  Geom. Funct. Anal. 18, pp. 271–303, 2008
  arXiv:math/0605546
• Elementarily free groups are subgroup separable
  Henry Wilton
  Proc. London Math. Soc. (3) 95, pp. 473–496, 2007
  arXiv:math/0511414
• Limit groups, positive-genus towers and measure equivalence
  Martin Bridson, Michael Tweedale & Henry Wilton
  Ergodic Theory Dyn. Syst. 27, pp. 703–712, 2007            
  arXiv:math/0511275v2

Books

• Beyond hyperbolicity
  Edited by Mark Hagen, Richard Webb & Henry Wilton
  LMS Lect. Note Ser., 454. CUP, 2019. x+231 pp.
• 3-manifold groups
  Matthias Aschenbrenner, Stefan Friedl & Henry Wilton
  EMS Series of Lectures Notes in Mathematics, EMS, Zürich, 2015

Articles in conference proceedings

• Immutability is not uniformly decidable in hyperbolic groups
  Daniel Groves & Henry Wilton
  Beyond hyperbolicity, 179–185, LMS Lecture Note Ser., 454, CUP, 2019.
  arXiv:1703.05725
• On the recognition problem for virtually special cube complexes
  Martin Bridson & Henry Wilton
  Hyperbolic geometry and geometric group theory, pp. 37–46, Adv. Stud. Pure Math., 73, MSJ, Tokyo, 2017
  arXiv:1408.2325
• Solutions to Bestvina and Feighn's exercises on limit groups
  Henry Wilton
  Geometric and cohomological methods in group theory, pp. 30–62, LMS Lect. Note Ser.  358, CUP, 2009
  arXiv:math/0604137

• This page was last updated on 2 October 2024.
• Based on a design by Joel Fine.