education
ph.d., mathematics, university of oxford, united kingdom, 2016
biography
frederick manners received his d.phil. from the university of oxford in 2016. he then spent three years as a szego assistant professor of mathematics at stanford university. his main area of research is in additive combinatorics, but he has broad interests across a number of areas of pure mathematics (including number theory, combinatorics, analysis and ergodic theory). his particular focus is in notions of arithmetic pseudorandomness: testing whether a particular arithmetic object "looks random", or if not, finding some precise kind of structure that helps analyze it. recently this has taken the form of an in-depth study of gowers norms and their inverse theory. he is also interested in the application of these ideas to combinatorics, number theory, and other areas as they arise.