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

Department of Mathematical Sciences

Binghamton University

PO Box 6000

Binghamton, New York 13902-6000

malkiewich at math.binghamton.edu

Curriculum Vitae

Research Statement

(Last updated Jun 22, 2020.)
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: algebraic topology, 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:

Teaching

In the fall of 2020 I will be teaching MATH 330: Number Systems.

Talk Slides
Expository Writings

In preparation:

Detailed Expository Writings
Conferences and Seminars

I am co-organizing a special session at the AMS sectional in Binghamton in October 2019, and a summer school on homotopy theory and fixed-point theory in the summer of 2020. 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.

Extracurricular Activities

I've learned a lot from my experience as a teacher, a parent, and a relationship partner. If you're interested in some of the insights that I picked up along the way, you can find them here.