We welcome Professor Yanqui Guo to the graduate student seminar. He will be presenting some findings with undergraduate student, Michael Ilyin. 

Our Graduate Student Seminar gives students the ability to showcase interesting results that they have found in their research. Presenters are typically graduate students in mathemathematics, but can also be undergraduates, students in other disiplines, and faculty as well. 

Presentations should be able to be understood by upper level undergraduate students.

Title: Large gaps between sums of squares and an application to finite-dimensional reduction for dissipative PDEs 

Abstract: This presentation features two speakers. In the first part of the talk, Michael Ilyin will present some classic results in number theory on large gaps between sums of squares. In the second part, Yanqiu Guo will talk about reducing infinite-dimensional dissipative dynamical systems to finite-dimensional ones, which is an application of large gaps between sums of squares.