Curriculum Vitae

Publications
  1. Boolean Formulae, Hypergraphs and Combinatorial Topology
    preprint.
  2. Ornate necklaces and the homology of the genus one mapping class group
    Bull. Lond. Math. Soc. 39 (2007), no. 6, 881--891.
  3. Homotopy approximations to the space of knots, Feynman diagrams, and a conjecture of Scannell and Sinha
    Amer. J. Math. 130 (2008), no. 2, 341--357.
  4. Finite type invariants based on the band-pass and the doubled-delta move
    joint with Jacob Mostovoy and Ted Stanford
    submitted.
  5. Morita classes in the homology of Aut(Fn) vanish after one stabilization
    joint with Karen Vogtmann
    Groups, Geometry and Dynamics. Volume 2, Issue 1, 2008
  6. Chirality and the Conway polynomial
    Topology Proceedings, Volume 30, No. 1, 2006, p.153-162
  7. Morita classes in the homology of automorphism groups of free groups
    with Karen Vogtmann
    Geometry and Topology, Vol. 8 (2004) Paper no. 40, pages 1471--1499
  8. Gropes and the rational lift of the Kontsevich integral (arXiv)
    Fundamenta Mathematicae 184 (2004), 73-77
  9. Jacobi identities in low dimensional topology (PDF)
    Joint with Rob Schneiderman and Peter Teichner
    Compositio Mathematica 143 Part 3 (2007) pp.780-810
  10. Cut vertices in commutative graphs (link to arXiv article)
    joint with Ferenc Gerlits and Karen Vogtmann
    Oxford Quarterly Journal Volume 56, Number 3, September 2005
  11. New perspectives on self-linking (link to arXiv article)
    joint with Ryan Budney, Kevin Scannell, and Dev Sinha
    Advances in Mathematics, Volume 191, Issue 1 (2005), Pages 78-113
  12. On a theorem of Kontsevich
    joint with Karen Vogtmann
    Algebraic and Geometric Topology 3 (2003), paper no. 42, pages 1167-1224.
  13. Grope cobordism and Feynman diagrams
    joint with Peter Teichner
    Mathematische Annalen, Vol. 328 (2004), Nos. 1-2, 135-171
  14. Fusion and fission in graph complexes
    Pacific Journal of Mathematics,Vol. 209, No.2 (2003), 219-230
  15. Infinitesimal operations on chain complexes of graphs
    joint with Karen Vogtmann
    Mathematische Annalen, Vol. 327, No. 3 (2003); 545-573
  16. On a theorem of Goussarov
    Journal of Knot Theory and its Ramifications Vol.12, No.1(2003) 47-52
  17. Grope cobordism of classical knots
    joint with Peter Teichner
    Topology Vol. 43, Issue 1 (2004); 119-156
  18. Vassiliev Invariants and Embedded Gropes (PDF)
    revised version of my thesis.