Seminar: Jacob Fox (Stanford University): "Subset Sums"

Date and Time

February 20, 2024
04:30PM - 05:30PM EST

Location

Jefferson 368 and Zoom

Jacob Fox

Zoom link: https://harvard.zoom.us/j/779283357?pwd=MitXVm1pYUlJVzZqT3lwV2pCT1ZUQT09
Passcode: 657361
Speaker: Jacob Fox (Stanford University)
Title: Subset Sums
Abstract: In this talk, I will discuss novel techniques which allow us to prove a diverse range of results on representing integers as subset sums, including solutions to many long-standing open problems in the area. For example, we answer a question of Alon and Erdős on the minimum number of colors needed to color the positive integers less than n so that n cannot be written as a monochromatic sum. Based on joint work with David Conlon and Huy Tuan Pham. Time permitting, we will discuss some of the remaining outstanding open problems on subset sums and connections to other areas of mathematics and computer science.