##### Department of Mathematics,

University of California San Diego

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### Food for Thought talk

## Lillian McPherson

#### UCSD

## Differential Powers and Differential Closure of Ideals

##### Abstract:

I will begin by defining the notion of the differential power of an ideal. Focusing on polynomial rings in two or three variables over a field of characteristic zero, I will discuss when the differential power of an ideal becomes principal. I will use differential powers to define the differential closure of an ideal and discuss how it relates to the radical of an ideal.

### March 1, 2023

### 4:00 PM

HSS 4025

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