2023 Women and Mathematics

Abstract: Complex dynamics explores the evolution of points under iteration of functions of complex variables. In this talk I will describe an interesting phenomenon in complex dynamics called wandering domains. I will mention a few techniques used...

Abstract: Every infinite sequence on a finite set of symbols gives rise to a dynamical system by taking the topological closure of the set of iterates of the sequence under the shift map, which deletes the first symbol of a sequence. Given any...

Abstract: A famous theorem of Szemeredi from 1975 states that any subset of positive density in the integers contains arbitrarily long arithmetic progressions. In 1977 Furstenberg gave an ergodic theoretic proof of Szemeredi’s theorem. Furstenberg...

Abstract: This series will invite participants into the beautiful world of the circle method. This method, which combines both arithmetic and analytic insights, originated 100 years ago in work of Hardy and Ramanujan, in their study of the partition...

Abstract: In 2016 Bourgain applied Gauss sums to construct a counterexample related to a decades-old question in PDEs. The story started in 1980 when Carleson asked about how “smooth" an initial data function must be to imply pointwise convergence...

Abstract: I will discuss how the Bentkus-Götze-Freeman variant of the Davenport-Heilbronn circle method can be used to study $\mathbb{F}_q[t]$ solutions to inequalities of the form $$\text{ord}(\lambda_1 x_1^k + \cdots + \lambda_s x_s^k - \tau) ...

Abstract: A central question in extremal graph theory is to determine ex(n,H), the maximum number of edges in a n-vertex graph containing no subgraph isomorphic to some forbidden graph H. One may define a topological variant of this extremal...