Cary Malkiewich
J. L. Doob Research Assistant Professor

UIUC Math Department

1409 W. Green Street

Urbana, IL 61801

cmalkiew at illinois dot edu

Curriculum Vitae (Autumn 2016)

Research Statement (Autumn 2016)

(Last updated Jul 2, 2017.)
Research

My general research interest is in algebraic topology, and my work is broadly motivated by the study of manifolds and cell complexes by algebraic techniques. I have recently been focusing on topological Hochschild homology, algebraic K-theory, transfers, and stable homotopy theory. There is also an emerging connection between my work and homotopy-invariant properties of topological dynamical systems. See my research statement for more information.

In the fall of 2017 I will be starting an assistant professor position at SUNY Binghamton. During the calendar year of 2018 I will be on leave at the Max Planck Institute in Bonn.

We are in the process of organizing a regional topology seminar for the fall of 2017. In the past I organized the Topology Seminar at UIUC and the Stanford student topology seminar, and was involved with the "xkcd" discussion group, and the String topology seminar. I completed my thesis under the direction of Ralph Cohen at Stanford University.

Publications and Preprints

Other publications:

In preparation:

There are also errata for my Ph.D. thesis.

Teaching

In the fall of 2017 I will be teaching linear algebra and graduate topology.

Together with Jenya Sapir I am overseeing a project to create interactive games that teach core intuitions behind linear algebra. You can play the latest prototype here. Last spring this project was part of the Illinois Geometry Lab.

In graduate school I received Stanford's Centennial Teaching Assistant Award. I was also the department liaison for the Center for Teaching and Learning (CTL).

Talk Slides
Expository Writings

In preparation:

Technical Expository Writings