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(Fr), submitted. arxiv:1810.07633.
- E. A. Bering IV, Uniform independence for Dehn twist
automorphisms of a free group (2019), to appear, Proc. Lond. Math.
- 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
- E. A. Bering IV, A brief introduction to measurable
cardinals, Waterloo Mathematics Review 2 (2013), no.
- 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
- 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
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.