Picture to appear here.

Contact information:

Room 420,
  Department of Mathematics,
Rice University, MS 136
6100 Main Street,
Houston, TX 77005

  neil dot fullarton at rice dot edu


Neil J. Fullarton

I am a G. C. Evans Instructor in the Department of Mathematics at Rice University. I received my PhD in 2014, from the University of Glasgow in Scotland.


Research:

My work is in the field of geometric group theory. I am particularly interested in automorphism groups of free and right-angled Artin groups, their Torelli subgroups, and the comparison between these groups and the mapping class groups of surfaces.

  • Research statement (full)
  • Research statement (concise)
  • CV
  • Picture to appear here. Picture to appear here.

    Publications and preprints:

    A Birman-Hilden theorem for free groups.
    (w/ John Calabrese and Rebecca Winarski)
    In preparation.

    The high-dimensional cohomology of the moduli space of curves with level structures. [pdf]
    (w/ Andrew Putman)
    Submitted.

    Observed periodicity related to the four-strand Burau representation. [pdf]
    (w/ Richard Shadrach)
    To appear in Experimental Mathematics, (2017).

    Hyperelliptic graphs and the period mapping on outer space. [pdf]
    (w/ Corey Bregman)
    Submitted.

    Infinite groups acting faithfully on the outer automorphism group of a right-angled Artin group. [pdf]
    (w/ Corey Bregman)
    To appear in Michigan Mathematical Journal, (2017).

    Palindromic automorphisms of right-angled Artin groups. [pdf]
    (w/ Anne Thomas)
    To appear in Groups, Geometry, and Dynamics (2017).

    A generating set for the palindromic Torelli group. [pdf]
    Algebraic & Geometric Topology 15 (2015) 3535–3567.

    On the number of automorphisms of the automorphism group of a right-angled Artin group. [pdf]
    Mathematical Research Letters, Vol. 23, No. 1 (2016), pp. 145-162.


    Topology seminar:

    I help organize the Rice topology seminar.

    Teaching:

    In Spring 2017, I am teaching Math 211 (Ordinary Differential Equations and Linear Algebra), and Math 366 (Geometry).

    In Fall 2016, I attended the special semester on geometric group theory at MSRI, Berkeley, as a postdoctoral fellow.
    In Spring 2016, I taught Math 356 (Abstract Algebra 1), and a graduate class on Bundles & Characteristic Classes.

    In Fall 2015, I taught Math 101 (Single-variable Calculus).
    In Spring 2015, I taught Math 356 (Abstract Algebra 1) and a topics course on Buildings.
    In Fall 2014, I taught teaching Math 111 (The Fundamental Theorem of Calculus).