**Monday, Apr 15, 3-4pm**

The Snapshots of Math at Harvard aims to bring people with different research directions together. Each talk is 10 minutes long and is intended to introduce a topic to mathematicians outside the speaker's field. The goal is to exchange broad ideas and foster new mathematical contacts. As time is limited, the speakers may not arrive details / theorems. Everyone are encouraged to discuss with the speakers after the seminar!

**Brooke Ullery**

**Title:** Measures of irrationality for algebraic varieties

**Marius Christopher Lemm**

**Title:** Spectral gaps in quantum spin systems

**Sander Kupers **

**Title:** Modular forms and diffeomorphisms of high-dimensional manifolds

**Aukosh Jagannath**

**Title:** Optimization in high-dimensional landscapes

**Organizers:** Mandy Cheung (mwcheung@math.harvard.edu)