Cary Malkiewich
(CARE-ee mall-KEV-itch)
Assistant Professor

Department of Mathematical Sciences

Binghamton University

PO Box 6000

Binghamton, New York 13902-6000

malkiewich at math.binghamton.edu

Curriculum Vitae (Autumn 2016)

Research Statement (Autumn 2016)

(Last updated Dec 4, 2018.)
Research

My primary research area is algebraic topology. I like to apply stable homotopy theory (spectra) to questions about manifolds and cell complexes. My work seems to be moving in the direction of further applications to dynamics, meaning homotopy-invariant properties of topological dynamical systems.

Key words: homotopy theory, spectra, G-spectra, parametrized spectra, free loop spaces, topological Hochschild homology (THH), algebraic K-theory, functor calculus, duality, traces, transfers, Nielsen theory (fixed-point theory), h-cobordisms, high-dimensional manifolds.

Publications and Preprints

Other publications:

In preparation:

Teaching

In the spring of 2019 I will be teaching MATH 517: Algebraic Topology I.

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. In the spring of 2016 this project was part of the Illinois Geometry Lab.

Talk Slides
Expository Writings

In preparation:

Detailed Expository Writings
Seminars

We are in the process of organizing a regional topology seminar for the spring of 2019. 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.