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Papers

63. Outer space for RAAGs, (with C. Bregman and R. Charney), arXiv:2007.09725.

62. The Euler characteristic of Out(F_n), (with M. Borinsky), to appear in Commentarii Math. Helv.,

61. Cube complexes and abelian subgroups of automorphism groups of RAAGs, (with B. Millard), (2019). Mathematical Proceedings of the Cambridge Philosophical Society, 1-25. doi:10.1017/S0305004119000501

60. On the bordification of Outer space, (with K.-U. Bux and P. Smillie), J. London Math Soc. 98, Issue 1 (2018), 12–34.

59. The topology and geometry of automorphism groups of free groups, Proceedings of the 2016 European Congress of Mathematicians, EMS Publishing House, Zurich (2018), 181-202.M/p>

58. Tethers and homology stability for surfaces, (with A. Hatcher), Algebr. Geom. Topol. 17 (2017), no. 3, 1871–1916.
57. Contractibility of Outerspace:reprise, Hyperbolic Geometry and Geometric Group Theory, Advanced Studies in Pure Mathematics 73 (2017), Math. Soc. Japan, 265–280.
56. Outer space for untwisted automorphisms of right-angled Artin groups, (with R. Charney and Nathaniel Stambaugh), Geom. Topol. 21 (2017), no. 2, 1131–1178.
55. Assembling homology classes in automorphism groups of free groups, (with J. Conant, A, Hatcher and M. Kassabov), Commentarii Math. Helv. 91 (2016), 751-806.
54. GL(n, Z), Out(Fn) and everything in between: automorphism groups of RAAGs, London Mathematical Society Lecture Note Series 422: Groups St Andrews 2013, 105-127, Cambridge University Press, 2015.
53. Higher hairy graph homology, (with J. Conant and M. Kassabov), Geometriae Dedicata 176 (2015), 345-374.
52. On the geometry of Outer space, Bull. Amer. Math. Soc. (N.S.) 52 (2015), no. 1, 27–46.
51. Actions of arithmetic groups on homology spheres and acyclic homology manifolds, (with M.R. Bridson, F.
Grunewald and B. Zimmermann), Math. Z. 276 (2014), no. 1-2, 387–395.
50. Hairy graphs and the unstable homology of M(g,s), Out(Fn) and Aut(Fn), (with J. Conant and M. Kass- abov), J Topology (2013) 6(1): 119-153.
49. The Dehn functions of Aut(Fn) and Out(Fn) (with M. R. Bridson), Annales de l’institut Fourier, 62 no. 5 (2012), p. 1811-1817.
48. Abelian covers of graphs and maps between outer automorphisms of free groups, (with M. R. Bridson), Math. Ann. 353 (2012), no. 4, 1069-1102.
47. Subgroups and quotients of automorphism groups of RAAGs, (with R. Charney), Low-dimensional and Symplectic Topology - Proceedings of Symposia in Pure and Applied Math., Michael Usher ed University of Georgia, Editor - AMS, 2011.
46. What is Outer space?, Notices of the AMS 55, No. 7 (2008) 784-786.
45. Automorphisms of two-dimensional RAAGs and partially symmetric automorphisms of free groups, (with
44. K.-U. Bux and R. Charney), Groups, Geometry and Dynamics 3 (4) (2009) 541-554.
43. Actions of automorphism groups of free groups on spheres and acyclic manifolds, (with Martin Bridson), Commentarii Math. Helv. 86 (1) (2011)
42. Automorphisms of higher-dimensional right-angled Artin groups, (with Ruth Charney), Bull. London Math Soc. (41) February (2009) 94-102.
41. A presentation for Aut(Fn), (with H. Armstrong and B. Forrest), J. of Group Theory 11 (2008), 267- 276.
40. Automorphism groups of right-angled Artin groups, (with Ruth Charney), Guido’s book of conjectures, L’Enseignement Mathematiques Monographie No. 40, 2008.
39. Automorphisms of two-dimensional right-angled Artin groups, (with Ruth Charney and John Crisp), Geometry & Topology 11 (2007) 2227-2264.
38. Morita classes in the homology of Aut(Fn) vanish after one stabilization, (with Jim Conant), Groups, Geometry and Dynamics 2 (1) (2008) 121-138.
37. The cohomology of automorphism groups of free groups, Proceedings of the International Congress of Mathematicians, Madrid 2006, European Mathematical Society Publishing House, Zurich, 2006.
36. Erratum to: Homology stability for outer automorphism groups of free groups,(with A. Hatcher and N.Wahl), Algebr. Geom. Topol. 6 (2006), 573–579.
35. Automorphismsoffreegroups,surfacegroupsandfreeabeliangroups,(withMartinBridson),inProblems on Mapping Class Groups and Related Topics, ed. by B. Farb, Proc. Symp. Pure Math. 74, Amer. Math. Soc., Providence RI, (2006).
34. Automorphisms of free groups and outer space, Proceedings of the Conference on Geometric and Com- binatorial Group Theory, Part I (Haifa, 2000). Geom. Dedicata 94 (2002), 1–31.
33. Geometry of the space of phylogenetic trees (with L. Billera and S. Holmes), Advances in Applied Math 27 (2001), 733-767.
32. Automorphisms of automorphism groups of free groups (with M. R. Bridson), J. Algebra 229 (2000), no. 2, 785–792.
31. The symmetries of Outer space (with M. R. Bridson), Duke Math Journal 106 (2001), 391–409.
30. A Whitehead algorithm for surface groups (with G. Levitt), Topology 29. (2000), no. 6, 1239–1251.
28. An Equivariant Whitehead algorithm and conjugacy for roots of Dehn twists (with S. Krstic and M. Lustig), Proceedings of the Edinburgh Math Society 44 (2001), 117-141.
27. Rational homology of Aut(Fn) (with A. Hatcher), Mathematical Research Letters 5 (1998), 759-780.
26. The complex of free factors of a free group (with A. Hatcher), Quart. J. Math. Oxford Ser. (2) 49 (1998),
25. Cerf theory for graphs (with A. Hatcher), J. London Math. Soc., 58, part 3 (1998), 633-655.
24. A group-theoretic criterion for Property FA, (with M. Culler), Proc. Amer. Math. Soc. 124 (1996), no. 3, 677-683.
23. Homology stability for outer automorphism groups of free groups, 37. (with Allen Hatcher), Algebr. Geom. Topol. 4 (2004), 1253-1272.
22. Homology stability for outer automorphism groups of free groups, (with Allen Hatcher), Algebr. Geom. Topol. 4 (2004), 1253-1272.
21. Morita classes in the homology of automorphism groups of free groups, (with Jim Conant), Geom. Topol. 8 (2004), 1471-1499.
20. Cut vertices in commutative graphs, (with James Conant and Ferenc Gerlits), Quart. J. Math 56(3) (2005), 321-336.
19. On a theorem of Kontsevich, (with Jim Conant), Algebr. Geom. Topol. 3 (2003) 1167-1224.
18. Infinitesimal operations on graph complexes, (with James Conant), Math. Ann. 327 (2003), 545–573.
17. Homomorphisms from automorphism groups of free groups, (with Martin R. Bridson), Bull. London Math. Soc. 35 (2003), no. 6, 785–792.
16. On the geometry of the group of automorphisms of a free group (with M. Bridson), Bull. London Math. Soc. 27 (1995), 544-552.
15. Isoperimetric inequalities for automorphism groups of free groups (with A. Hatcher), Pacific J. Math. 173 (1996), no. 2, 425-441.
14. End invariants of the group of outer automorphisms of a free group, Topology 14 (1995) no. 3, 533-545..
13. Length functions and outer space (with J. Smillie), Michigan Math J. 39 (1992) 485-493.
46.
12. Equivariant Outer space and automorphisms of free-by-finite groups (with S. Krstic), Comment. Math. Helvetici 68 (1993) 216-262.
11. Automorphisms of SL2 of imaginary quadratic integers, (with J. Smillie) Proc. A.M.S. 112 (1991) no. 3
10. The boundary of outer space in rank two, (with M. Culler) in Arboreal Group Theory (R. Alperin, ed)
New York: Springer-Verlag (1991) 189-229.
9. Local structure of some Out(Fn)-complexes, Proc. Edinburgh Math Soc. 33 (1990), 367-379.
8. Automorphisms of graphs, p-subgroups of Out(Fn) and the Euler characteristic of Out(Fn), (with J. Smillie) J. Pure and Appl. Algebra 49 (1987), 187-200.
7. A generating function for the Euler characteristic of Out(Fn), (withJ.Smillie) J.Pure and Appl. Algebra 44 (1987), 329-348.
6. Moduli of graphs and automorphisms of free groups, (with M. Culler) Inventionnes 84 (1986), 91-119.
5. Rational homology of Bianchi groups, Math. Ann. 272 (1985), 399-419.
4. The integral homology of SL2 and P SL2 over Euclidean imaginary quadratic integers, (with J. Schwermer) Comment.Math.Helv. 58(1983)no.4,573-598.
3. A Stieffel complex for the orthogonal group of a field, Comment. Math. Helv. 57 (1982), no.1, 11-21.
2. Spherical Posets and homology stability for On,n, Topology 20 (1981), 119-132.
1. Homology Stability for On,n, Comm. Alg., 7 (1979), no.1., 9-38