neil dot fullarton at rice dot edu
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.
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.
Publications and preprints:A Birman-Hilden theorem for free groups.
(w/ John Calabrese and Rebecca Winarski)
The high-dimensional cohomology of the moduli space of curves with level structures. [pdf]
(w/ Andrew Putman)
To appear in J. Eur. Math. Soc. (JEMS).
Observed periodicity related to the four-strand Burau representation. [pdf]
(w/ Richard Shadrach)
To appear in Experimental Mathematics.
Hyperelliptic graphs and the period mapping on outer space. [pdf]
(w/ Corey Bregman)
To appear in Journal of Topology.
Infinite groups acting faithfully on the outer automorphism group of a right-angled Artin group. [pdf]
(w/ Corey Bregman)
Michigan Mathematical Journal 66 (2017), no. 3, 569--580.
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.
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 Fall 2015, I taught Math 101 (Single-variable Calculus).