Michler Lecture Series

Ruth Michler

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


There will be two Michler Lectures on September 8th and September 22nd, 2022.


September 8th (Online) - Anna Skripka, Michler Scholar
Join Zoom Meeting at 4:00 p.m. - https://cornell.zoom.us/j/99398058613?pwd=MWhUci96N1lEMHBEMmJnVEtNdGIrQT09
Title:  Untangling noncommutativity with operator integrals
Abstract:  Operator integration is a collection of powerful methods and techniques that enable analysis of functions with noncommuting arguments.  Such functions arise, in particular, in various problems of matrix analysis, mathematical physics, noncommutative geometry, and statistical estimation.  Theory underlying multilinear operator integration has been developing for some seventy years, and by now has accumulated many deep results and important applications.  I will give a flavor of subject and present several recent advancements.

September 22nd - Emily Witt, Michler Scholar
This lecture will be in-person in 532 Malott Hall starting at 4:00 p.m.

Title:  Local cohomology:  An algebraic tool capturing geometric data
Abstract:  Introduced by Grothendieck, the notion of local cohomology is defined in a purely algebraic way.  However, it also encodes fundamental geometric and topological data.  For instance, local cohomology can help determine the number of equations needed to define a variety, or how the irreducible components of a ring's spectrum fit together topologically.

Unfortunately, local cohomology modules can be huge-i.e., they are typically not finitely generated, and the data they carry can be hard to access.  It can even be difficult to determine whether a given local cohomology module is zero!

In this talk, aimed toward a general audience, we discuss methods developed to better understand local cohomology, which involve rings of differential operators, invariant theory, and graph theory.  We also describe recently discovered connections between local cohomology and geometry/topology.

A joint reception for both Michler Fellows will be held in 532 Malott Hall from 3:30 - 4:00 p.m. on September 22nd.

Please contact Heather Peterson if you need accommodations.



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. 

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.


October 18, 2018

Julie Bergner of The University of Virginia
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.