Mathematics

• 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

• 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.

• 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.

• 2017 Mathematical Association of America Southeastern Award for Distinguished Teaching by a Beginning Faculty Member
• 2017 Georgia State University Math & Stat Outstanding Teaching Award​
• 2019 NSF Conference Grant to organize the 2019 Arches Topology Conference in Hurricane, UT
• 2022 Research AWA: Detecting information loss in shape theory