# Michler Lecture Series

The Ruth I. Michler Memorial Prize of the AWM is awarded annually to a woman recently promoted to associate professor or an equivalent position in the mathematical sciences. The prize provides a fellowship for the awardee and enables her to focus on her research in the stimulating environment of the Cornell University Department during a semester that is free from teaching obligations. Recently promoted associate professors face many challenges as they prepare to take on greater leadership in research and in the profession. The Ruth I. Michler Memorial Prize honors outstanding women at this stage of their careers. Each year, the Michler Fellow is invited to give a lecture to an audience of faculty and graduate students.

# Upcoming Lectures

November 4, 2021

Reception at 3:30 in 532 Malott Hall - Due to recent Covid guidelines the reception is open to the Cornell Math Department/Cornell Community only.

**Covid Safety: **Please review the following CU Event Covid Guidelines. Cornell employees attending indoor events must complete the Daily Check prior to attendance. Face masks are required for all indoor events.

Presentation/Lecture at 4:00 - 5:00 in 251 Malott Hall - Hybrid format

Speaker: Shabnam Akhtari, Michler Scholar, University of Oregon and Cornell

Title: Representation of integers by binary forms

Abstract: Let F(x , y) be a binary form with integer coefficients and degree at least 3. Suppose F(x , y) is irreducible over the rational numbers. In 1909, Thue proved that for any given integer m, the equation F(x , y) = m has at most finitely many solutions in integers x and y. These equations are called Thue equations. We will explore some general questions: how many solutions can a Thue equation have? how often do Thue equations have any solution? We will also talk about applications of Thue equations in counting some interesting arithmetic objects, such as orders in number fields.

Due to recent Covid guidelines public access to this talk is virtual. Virtual public access information is forthcoming.

If you need accommodations, please contact Heather Peterson, hko1@cornell.edu

Previous Lectures in the Series:

**Julie Bergner** of The University of Virginia

October 18, 2018

Reception at 3:30pm, 532 Malott Hall

If you need any special accommodations (e.g., dietary constraints, mobility constraints, etc.), please contact Heather Peterson, hko1@cornell.edu.

Lecture begins at 4:00pm, 532 Malott Hall

**Title: 2-Segal structures and the Waldhausen S-construction**

**Abstract:** The structure of a 2-Segal space was defined by Dyckerhoff and Kapranov and independently by Galvez-Carrillo, Kock, and Tonks under the name of decomposition space. Both groups found many examples in algebra, topology, and combinatorics, yet a common one was the output of Waldhausen's S-construction when applied to an exact category. In joint work with Osorno, Ozornova, Rovelli, and Scheimbauer, we give a more general version of this construction so that every 2-Segal space arises from it.

**Julia Gordon,**the University of British Columbia*Wilkie's theorem and (ineffective) uniform bounds*(November 2017)**Pallavi Dani**, Louisiana State University*Large-scale geometry of right-angled Coxeter groups*(March 2017)**Malabika Pramanik**, University of British Columbia*Needles, Bushes, Hairbrushes, and Polynomials*(October 2015)**Sema Salur**, University of Rochester*Manifolds with G2 structure and beyond*(March 2015)**Megumi Harada**, McMaster University*Newton-Okounkov bodies and integrable systems*(March 2015)**Ling Long**, Iowa State University*Atkin and Swinnerton-Dyer Congruences*(October 2012)**Anna Mazzucato**, Pennsylvania State University*The Analysis of Incompressible Fluids at High Reynolds Numbers*(March 2012)**Patricia Hersh**, North Carolina State University*Regular CS Complexes, Total Positivity and Bruhat Order*(November 2010)**Maria Gordina**, University of Connecticut*Lie's Third Theorem in Infinite Dimensions*(April 2010)**Irina Mitrea**, University of Virginia*Boundary-Value Problems for Higher-Order Elliptic Operators*(October 2008)**Rebecca Goldin**, George Mason University*The Geometry of Polygons*(September 2007)