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 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

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 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.

Selected Talks

  • 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

Grants/Awards

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