### Recent developments on the slice rank polynomial method with applications (Mohamed Omar, HMC)

Davidson Lecture Hall, CMC 340 E 9th St, Claremont, CAThe slice rank polynomial method, motivated by groundbreaking work of Croot, Lev and Pach and refined by Tao, has opened the door to the resolution of many problems in extremal combinatorics. We survey these results and discuss contributions in several of the speaker's recent papers.