Jeremy Brazas

Jeremy Brazas Image

Associate Professor

Office: UNA 111
Phone: 610-436-2054 
Fax: 610-738-0578

Email

Personal Webpage

Education

  • Ph.D. University of New Hampshire, 2011
  • M.S.Ed. Harding University
  • B.S. Harding University

Research Interests

  • Algebraic Topology
  • General Topology

Professional Experience

  • August 2021 - Present: Associate Professor of Mathematics, West Chester University
  • August 2017 - July 2021: Assistant Professor of Mathematics, West Chester University
  • August 2012 - July 2017: Lecturer/Senior Lecturer, Georgia State University
  • August 2011 - July 2012: Lecturer, University of New Hampshire

Selected Publications

  • J. Brazas, H. Fischer, On the failure of the first Cech homotopy group to register geometrically relevant fundamental group elements. Bulletin of the London Math. Soc. 50 (2020), no 6., 1072-1092.
  • J. Brazas, Scattered products in fundamental groupoids, Proc. Amer. Math. Soc. 148 (2020), no. 6, 2655-2670.
  • J. Brazas, H. Fischer, Test map characterizations of local properties of fundamental groups, Journal of Topology and Analysis 12 (2020) 37-85.
  • J.K. Aceti, J. Brazas, Elements of homotopy groups undetectable by polyhedral approximation. Pacific Journal of Mathematics 322 (2023), no. 2, 221-242.
  • J. Brazas, P. Gillespie, Fundamental groups of reduced suspensions are locally free. To appear in Michigan Mathematics Journal. (2024).

See my research page for a full publication list.

Selected Talks

  • Unwinding paths in the plane to form an R-tree, Univ. Wisconsin Milwaukee Topology Seminar. 1 May 2024.
  • The Cantor Set: Making Math Weird for 150 Years, Montana Technical Univ., Butte, MT. 4 March 2024.
  • Wild higher homotopy groups, BYU Cannon Seminar, Provo, UT. 14 October 2022.
  • The well-definedness of infinitary operations on the fundamental groupoid, Arches Topology Conference. Hurricane, UT. 27 April 2019.
  • Using the Hawaiian earring to detect local properties of fundamental groups, Arches Topology Conference. Moab, UT. 9 May 2018.

Grants/Awards