Visiting Assistant Professor
Department of Mathematics and Statistics
Miami University
Room 123 Bachelor Hall
Oxford, OH 45056, USA

TEACHING PAGE

Selected Publications:

• Finiteness and CAT(0) properties of diagram groups online version
  Topology 42 (2003), no. 5, 1065--1082

• Proper isometric actions of Thompson's groups on Hilbert space online version
  Int. Math. Res. Not. 2003, no. 45, 2409--2414

• Actions of picture groups on CAT(0) cubical complexes online version
  Geom. Dedicata 110 (2005), 221--242

• Homological and finiteness properties of picture groups online version
  Trans. Amer. Math. Soc. 357 (2005), no. 9, 3567--3584 (electronic)

• Discrete Morse theory and graph braid groups (with Lucas Sabalka) online version
  Algebr. Geom. Topol. 5 (2005), 1075--1109 (electronic)

• Homology of tree braid groups online version
  Topological and asymptotic aspects of group theory, 101--112, Contemp. Math., 394, Amer. Math. Soc., Providence, RI, 2006

• On the cohomology rings of tree braid groups (with Lucas Sabalka) online version
  J. Pure Appl. Algebra 212 (2008), no. 1, 53--71

• Presentations for the cohomology rings of tree braid groups online version
  Topology and Robotics, 145-172, Contemp. Math., 438, Amer. Math. Soc., Providence, RI, 2007

• The Action of Thompson's Group on a CAT(0) Boundary online version
  accepted at Groups, Geometry, and Dynamics

• A Proof that Thompson's Groups have Infinitely Many Relative Ends online version
  preprint

• On the geometry of CAT(0) cubical complexes
  in preparation

• The lower algebraic K-theory of three-dimensional crystallographic groups (with Ivonne J. Ortiz)
  in preparation

• Higher dimensional Thompson groups and the Haagerup property (with Bruce Hughes)
  in preparation

• On presentations of two-strand graph braid groups (with Lucas Sabalka)
  in preparation