I am a postdoctoral fellow in mathematics at Temple University.
Previously I was a Ph. D. student at the University of Illinois at Chicago,
where I worked with Marc Culler. I am interested broadly in low-dimensional topology and geometric group theory;
my thesis work focused on free group automorphisms.

(almost) All of my publications are available on the arXiv.

- E. A. Bering IV,
*A Criterion For Kolchin Subgroups Of
Out(F*_{r}), submitted. arxiv:1810.07633.
- E. A. Bering IV,
*Uniform independence for Dehn twist
automorphisms of a free group* (2019), to appear, Proc. Lond. Math.
Soc.. arxiv:1709.07468
- E. A. Bering IV,
*Length Function Compatibility for Group Actions
on Real Trees*, preprint. arxiv:1708.07078.
- E. A. Bering IV, G. Conant, and J. Gaster,
*On the complexity of
finite subgraphs of the curve graph*, Osaka Journal of
Mathematics **55** (2019), no. 4, 795–808. arXiv:1609.02548.
- E. A. Bering IV and J. Gaster,
*The random graph embeds in the
curve graph of an infinite genus surface*, New York Journal of
Mathematics **23** (2017), 59–66. Available at
http://nyjm.albany.edu/j/2017/23-5.html.
- E. A. Bering IV,
*A brief introduction to measurable
cardinals*, Waterloo Mathematics Review **2** (2013), no.
2, 2–13.
- G. Alagic and E. A. Bering IV,
*Quantum algorithms for invariants
of triangulated manifolds*, Quantum Information and
Computation **12** (2012), no. 9 & 10, 843–863. arXiv:1108.5424. Also
presented as a poster at Quantum Information Processing 2012.

**Spring 2019:** Math 4063: Topology I. This course is taught in
an inquiry-based fashion, covering abstract metric spaces and general
topology. Math 1022: Precalculus; information about this course is
available on the course Canvas page.

**Earlier at Temple:**

**Fall 2018.** Math 3061: Modern Geometry. While not a
writing-intensive course according to the calendar, I taught this
course in a writing intinsive fashion, requiring an extensive research
paper and a constructed model from my students. The course was an
introduction to geometry from the Kleinian transformational
viewpoint.
**Spring 2018.**Math
9072: The Life and Times of the Poincaré Homology
Sphere. A graduate topics course surveying three and four
dimensional topology with the Poincaré sphere as a running example.
**Fall 2017.** I taught two sections of Calculus III, Math
2043. In the process I used some 3D printed models and some manipulative
lessons for vector valued functions, both of which I am happy to share with
fellow instructors.

At UIC I taught for the Emerging Scholar's Program, a Treisman-style
workshop for Calculus. In addition to classroom activities my duties included
mentoring newer instructors and aiding fellow teaching assistants in using
active learining in their own discussion sections. I also was a volunteer
facilitator for Math Circles of
Chicago and a judge for K-12 competitions and mathematics fairs.
During my last year at UIC I was a research assistant for the Mathematical Computing Laboratory, assisting
in lab maintenance and organizing workshops to recruit undergraduates for
projects in future semesters.