Edgar A. Bering IV

On the summit of Mt. Washington, NHe-mail: edgar.bering@sjsu.eduDownload my CV

A definition

I am currently an assistant professor at San José State University in the Department of Mathematics and Statistics. Previously I held postdoctoral fellowships at the Technion and at Temple University. I completed my Ph. D. 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. Much of my research is inspired by and contributes too the long running analogy among linear groups, mapping class groups of surfaces, and automorphisms of free groups. I also enjoy algorithmic and (effective) combinatorial approaches to the area.

Publications & Preprints

All of my publications are available on the arXiv. Some preprints may appear here before being uploaded to the arXiv.

E. A. Bering IV, Y. Qing, and D. R. Wigglesworth, An algorithm to decide if an outer automorphism is geometric, submitted. arXiv:2310.04402.
E. A. Bering IV and C. J. Leininger, Finite rigid sets in sphere graphs, Topology and its Applications 347 (2024). Available at https://www.sciencedirect.com/science/article/pii/S0166864124000476.
E. A. Bering IV and N. Lazarovich, Ascending chains of free groups in 3-manifold groups, preprint. arXiv:2111.11777.
E. A. Bering IV and D. Studenmund, Hall's universal group is a subgroup of the abstract commensurator of a free group, Israel Journal of Mathematics (2023). arXiv:2111.06577.
E. A. Bering IV and D. Studenmund, Topological Models of Abstract Commensurators, to appear, Groups Geometry and Dynamics. arXiv:2108.10586.
E. A. Bering IV, A Criterion for Kolchin Subgroups of Out(Fn), International Journal of Algebra and Computation 30 (2020), no. 2, 245–252. arxiv:1810.07633.
E. A. Bering IV, Uniform independence for Dehn twist automorphisms of a free group, Proceedings of the London Mathematical Society 118 (2019), no.5, 1115–1152. 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 infintie genus surface, New York Journal of Mathematics 23 (2017), 59–66. Available at nyjm.albany.edu/j/2017/23-5.html.
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.

Teaching

Information about my current courses is in Canvas.

Throughout my teaching practice I am committed to guiding diverse student populations at all levels to discover their mathematical selves as a part of an inclusive mathematical community where they are welcome to express that identity in their personal voice. I share Federico Ardila's axioms:

Mathematical potential is distributed equally among different groups, irrespective of geographic, demographic, and economic boundaries.
Everyone can have joyful, meaningful, and empowering mathematical experiences.
Mathematics is a powerful, malleable tool that can be shaped and used differently by various communities to serve their needs.
Every student deserves to be treated with dignity and respect.