Mahler Lecture at AustMS 2019

Mahler Lecture Tour 2019

Event: AustMS Plenary Lecture
Date & Time: TBA, 3–6 December
Venue: South 1 building, Monash University
Speaker: Dr Holly Krieger (University of Cambridge, UK)

The Mahler lectures are a biennial activity organised by the Australian Mathematical Society, and supported by the Australian Mathematical Sciences Institute, in which a prominent mathematician tours Australian universities giving lectures at a variety of levels, including giving several public lectures.

Title: Unlikely intersections in arithmetic and dynamics

Abstract

What does it mean for an intersection to be unlikely? I will explain the idea of unlikely intersections in arithmetic and complex dynamics, focusing on the use of arithmetic height functions in both cases. I’ll discuss recent progress on these problems, particularly in the dynamical setting, and some related open questions.

Biography

Born and raised near Chicago, Dr Holly Krieger completed the undergraduate mathematics honors program at University of Illinois at Urbana-Champaign. She went on to a master’s degree and a Ph.D. from the University of Illinois at Chicago. Her initial research interests during graduate school were primarily in arithmetic and Diophantine geometry. Under the guidance of Laura DeMarco and Ramin Takloo-Bighash, her thesis work focused on the emerging field of arithmetic dynamics, which studies the relationship between dynamics of one complex variable and the arithmetic geometry of abelian varieties.

She followed her PhD work with an NSF postdoctoral fellowship at MIT under the supervision of Bjorn Poonen, during which time she became particularly interested in problems of unlikely intersections in complex dynamics. Since 2016, she has been the Corfield Lecturer at the University of Cambridge as well as a Fellow at Murray Edwards College.

supported by AMSI.