Spencer Dowdall

Spencer Dowdall

I am an NSF Postdoctoral Fellow and a J.L. Doob Research Assistant Professor of mathematics at the University of Illinois at Urbana-Champaign.

My research interests are in geometric topology, mapping class groups, Teichmüller theory, and geometric group theory.

Previously I was a graduate student at the University of Chicago, where I received my PhD under the direction of Benson Farb.

Office: Altgeld Hall, room 324
Office phone: 217-244-9038
E-mail: my email address
Department of Mathematics
1409 W Green Street
Urbana, IL 61801

  1. Hyperbolic extensions of free groups (pdf) (arXiv)
    (with Samuel J. Taylor)

  2. Unbounded asymmetry of stretch factors (pdf) (arXiv)
    (with Ilya Kapovich and Christopher J. Leininger)

  3. McMullen polynomials and Lipschitz flows for free-by-cyclic groups (pdf) (arXiv)
    (with Ilya Kapovich and Christopher J. Leininger)

  4. Dynamics on free-by-cyclic groups (pdf) (arXiv)
    (with Ilya Kapovich and Christopher J. Leininger)

  5. Pseudo-Anosov subgroups of fibered 3–manifold groups (pdf) (arXiv)
    (with Richard P. Kent IV and Christopher J. Leininger)
    to appear in Groups, Geometry, and Dynamics

  6. Spheres in the curve complex (pdf) (arXiv)
    (with Moon Duchin and Howard Masur)
    Contemporary Mathematics, vol. 590, Amer. Math. Soc., Providence, RI, 2013, pp.1-8.
    (journal link)

  7. Statistical hyperbolicity in Teichmüller space (pdf) (arXiv)
    (with Moon Duchin and Howard Masur)
    Geom. Funct. Anal. Vol. 24 (2014) 748-795.
    (journal link)

  8. Dilatation versus self-intersection number for point-pushing pseudo-Anosov homeomorphisms (pdf) (arXiv)
    Journal of Topology 4 (2011) no. 4: 942-984. (journal link)

This material is based upon work supported by the National Science Foundation under Award No. 1204814.

Disclaimer: Any opinions, findings, and conclusions or recommendations expressed in this material are those of the author(s) and do not necessarily reflect the views of the National Science Foundation.

Spring 2014: Not teaching this semester.

Past teaching:
Spring 2013: Math 231 (Calculus II), Lectures CL1 and DL1
Spring 2012: Math 402 (Non-Euclidean Geometry), sections C13 and D13
Fall 2011: Math 402 (Non-Euclidean Geometry), section C13

(at the University of Chicago):
Autumn 2010: Math 112 (Studies in Mathematics), section 40
Winter 2010: Math 153 (Calculus 3), section 24
Autumn 2009: Math 152 (Calculus 2), section 24
Spring 2009: Math 133 (Calculus 3), section 22
Winter 2009: Math 132 (Calculus 2), section 22
Autumn 2008: Math 131 (Calculus 1), section 22