Summary
I completed my undergraduate studies in mathematics at Valencia Community College and the University of Central Florida, graduating with a Bachelor's of Science in mathematics. I did my Ph.D. at Johns Hopkins with Jack Morava, focusing on algebraic topology and category theory. I then had a three-year postdoctoral position at the University of Washington where I worked with James Zhang followed by a one year postdoctoral position at Georgia Tech before coming to the ÁñÁ«ÊÓƵ.
Research interests
My research is focused on topics in category theory, homotopy theory and algebraic topology. I am especially interested in: higher category theory; operads; chromatic homotopy theory; K-theory; the "field with one element"; cobordism theories; derived noncommutative algebra.
Education
- Ph.D. in Mathematics, Johns Hopkins University, 2016
- B.S. in Mathematics, University of Central Florida, 2010
Selected publications
- Beardsley, Jonathan; Hackney, Philip. Labelled cospan categories and properads. J. Pure Appl. Algebra 228 (2024), no. 2, Paper No. 107471, 62 pp.
- Beardsley, Jonathan; Péroux, Maximilien. Koszul duality in higher topoi. Homology Homotopy Appl. 25 (2023), no. 1, 53--70.
- Beardsley, Jonathan; Wong, Liang Ze. The enriched Grothendieck construction. Adv. Math. 344 (2019), 234--261.
- Beardsley, Jonathan; Wong, Liang Ze. The operadic nerve, relative nerve and the Grothendieck construction. Theory Appl. Categ. 34 (2019), Paper No. 13, 349--374.
- Beardsley, Jonathan. A theorem on multiplicative cell attachments with an application to Ravenel's $X(n)$ spectra. J. Homotopy Relat. Struct. 14 (2019), no. 3, 611--624.
- Beardsley, Jonathan; Morava, Jack. Toward a Galois theory of the integers over the sphere spectrum. J. Geom. Phys. 131 (2018), 41--51.