معرفی
Jonathan Beardsley is an Assistant Professor of Mathematics at the University of Nevada, Reno. He completed his Ph.D. at Johns Hopkins University in 2016 under Jack Morava, focusing on algebraic topology and category theory. His postdoctoral positions included the University of Washington and Georgia Tech. His research interests span category theory, homotopy theory, and algebraic topology, with a focus on higher category theory, operads, chromatic homotopy theory, K-theory, cobordism theories, and derived noncommutative algebra.
Education:
- Ph.D. in Mathematics, Johns Hopkins University, 2016
- B.S. in Mathematics, University of Central Florida, 2010
Research Interests:
- Higher categorical structures and their applications in topology
- Operadic and properadic frameworks
- Chromatic homotopy theory and K-theoretic invariants
- Noncommutative geometry in homotopical settings
Selected Publications Trends: Recent work emphasizes categorical methods (e.g., higher topos theory, Grothendieck constructions) and their interplay with homotopy-theoretic concepts like Thom spectra and Brauer-Wall groups. Earlier contributions explored multiplicative cell attachments and spectral algebra.
Awards: None explicitly listed in provided texts.
Grants & Advising: No grants or advisees listed. Active in research collaborations (e.g., with Philip Hackney, Maximilien Péroux). Maintains a public arXiv page and personal website with research notes and teaching materials.
Labs/Teams: Engaged in algebraic topology and category theory research within the University of Nevada, Reno's mathematics department.
