# Event detail

## Commutative Algebra and Algebraic Geometry: The Fellowship of the Ring: Geometry of Ellipses

Seminar | February 18 | 5-6 p.m. | 939 Evans Hall

Yuhan Jiang, UC Berkeley

A k-ellipse is a plane curve consisting of all points whose distances from k fixed foci sum to a constant. This talk concerns the singularities and genus of the Zariski closure of k-ellipses in the complex projective plane. At the end, we will discuss the canonical images of 3-ellipses in the moduli space of genus 3 curves.