Mathematics

• August 2021 to Present: Associate Professor of Mathematics, West Chester University
• August 2017 to 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. To appear in Pacific Journal of Mathematics, (2023).
• J. Brazas, P. Gillespie, Fundamental groups of reduced suspensions are locally free. To appear in Michigan Mathematics Journal. (2023).

See my research page for a full publication list.

• Wild higher homotopy groupsBYU 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.

• Test map characterizations of local properties of fundamental groups
     Spring Topology and Dynamics Conference. New Jersey City University. 9 March 2017
• ​Coreflections and wild fundamental groups
    AMS 2016 Spring Southeastern Sectional Meeting. Special Session on Topology and Dynamics. University of Georgia, Athens, GA. 6 Mar. 2016

• 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