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 charcaterizations of local properties of fundamental groups, Journal of Topology and Analysis 12 (2020) 37-85
• J. Brazas, The fundamental group as a topological group, Topology Appl. 160 (2013) 170-188
• J. Brazas, Semicoverings: a generalization of covering space theory, Homology Homotopy Appl. 14 (2012) 33-63
• J. Brazas, The topological fundamental group and free topological groups, Topology Appl. 158 (2011) 779-802.

See my research page for a full publication list.

• 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
• Topological fundamental groups and open subgroup theorems
   Lloyd Roeling Topology Conference: University of Louisiana Lafayette. 8 Nov. 2013

• 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