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# Virtual Trivalent Spatial Graphs . . . (Sherilyn Tamagawa)

## September 29, 2021 @ 4:30 pm - 5:45 pm

**Title:** Virtual Trivalent Spatial Graphs and Virtual Niebrzydowski Algebras

**Speaker:** Prof. Sherilyn Tamagawa

Visiting Assistant Professor Pomona College

**Abstract:** If you were given two tangled up circles of string, could you untangle one to look like the other without cutting and reattaching the string? How could you tell? Knot theory explores answers to these questions. In this talk, we discuss a generalization of a knot, called a virtual trivalent spatial graph. We will then introduce virtual Niebrzydowski algebras, algebraic structures which can be used to distinguish some of them.

This work is joint with Nancy Scherich (ICERM).

Sheri Tamagawa completed her BA in Mathematics at Scripps College. After completing her PhD at the University of California, Santa Barbara, she spent two years teaching at Davidson College. She is currently a Visiting Assistant Professor of Mathematics at Pomona College. She is also one of the current organizers of USTARS (Underrepresented Students in Topology and Algebra Research Symposium).