Alex Schaefer

About

I am a mathematician specializing in combinatorics, particularly graph theory. I am an Academic Program Associate and Lecturer for the Department of Mathematics at the University of Kansas.

Education

  • B.S. in Mathematics, Michigan Technological University, December 2006.
  • M.S. in Mathematics, Michigan Technological University, May 2008 (.
  • M.A. in Mathematics, University of Kansas, April 2011.
  • Ph.D. in Mathematics, Binghamton University, August 2017.
BU Dissertation.pdf
KU Thesis.pdf
MTU Thesis.pdf

Publications

  • Balanced Non-Transitive Dice with Jay Schweig, College Math J 48 (2017), no. 1 MathSciNet (preprint)
  • Strongly connectable digraphs and non-transitive dice with Simon Joyce, Douglas B. West, and Thomas Zaslavsky (2015) Submitted for Publication (preprint)
  • The Negative Cycle Vectors of Signed Complete Graphs (2015) (preprint), superseded by
  • The Dimension of the Negative Cycle Vectors of Signed Graphs with Thomas Zaslavsky (2017) Submitted for Publication (preprint)
  • Balanced Non-Transitive Dice II: Tournaments (2017) Accepted for Publication (preprint)
  • Highly transitive matchings in graphs with Eric Swartz (2017) Submitted for Publication (preprint)


Selected Talks

  • University of Kansas Combinatorics Seminar, April 2017. Title: The Dimension of the Negative Cycle Vectors of Signed Graphs
  • AMS Sectional, Denton, TX, September 2017. Title: The Space of Negative Cycle Vectors of Signed Graphs
  • GSCC 2017, Lawrence, KS, April 2017. Title: Signed Graphs, Permutability, and 2-Transitive Perfect Matchings (Slides)
  • MOVES 2015, New York, NY, August 2015. Title: Non-Transitive Dice and Directed Graphs (Slides)
  • Le Moyne College Math Club, Syracuse, NY, February 2015. Title: Balanced Non-Transitive Dice (Slides)
  • SUNY Oneonta Lecture Series, Oneonta, NY, February 2014. Title: Balanced Non-Transitive Dice (Slides)
  • Binghamton University Combinatorics Seminar, November 2013. Title: Crapo's β-invariant for Matroids (Part 1)
  • Candidacy Exam, Binghamton University, November 2013. Title: Crapo's β-invariant for Matroids (Part 2)
  • AMS Seaway Sectional, October 2013. Title: Non-Transitive Dice and Directed Graphs
  • Binghamton University Math Club, September 2013. Title: Balanced Non-Transitive Dice
  • Binghamton University GSOCS Research Colloquium, Binghamton, NY, April 2013. Title: Balanced Non-Transitive Dice
  • Binghamton University Combinatorics Seminar, April 2013. Title: Matroid Designs: A Crash Course in Finite Geometry and Design Theory
  • Binghamton University Combinatorics Seminar, November 2012. Title: Introduction to Phylogenetic Combinatorics
  • Binghamton University Combinatorics Seminar, September 2012. Title: Realizing Directed Graphs
  • Binghamton University Combinatorics Seminar, September 2011. Title: Balanced Non-Transitive Dice
  • University of Kansas Master's Defense, April 2011. Title: Balanced Non-Transitive Dice
  • Michigan Technological University Master's Defense, April 2008. Title: Level Algebras: Hilbert Functions and Trivial Extensions


Teaching

  • College Algebra (2 sections), Fall 2018
  • Online Algebra, Fall 2018
  • Online Algebra, Summer 2018
  • College Algebra, Spring 2018
  • Online Algebra, Spring 2018
  • College Algebra, Fall 2017
  • Online Algebra, Fall 2017
  • Discrete Mathematics, Spring 2017
  • Calc 2 (2 sections), Fall 2016
  • Calc 3, Summer 2016
  • Discrete Mathematics, Spring 2016
  • Discrete Mathematics, Fall 2015
  • Calc 3, Summer 2015
  • Calc 1, Fall 2014
  • Calc 3, Summer 2014
  • Calc 2, Spring 2014
  • Calc 1, Fall 2013
  • Algebra and Precalculus, Binghamton Enrichment Program, Summer 2013
  • Calc 3, Summer 2013
  • Calc 2, Spring 2013
  • Precalculus, Fall 2012
  • Algebra and Precalculus, Binghamton Enrichment Program, Summer 2012
  • Calc 1, Spring 2012
  • Precalculus, Fall 2011
  • Precalculus, Spring 2011
  • Calc 2 (2 sections), Fall 2010
  • Executive Tutor, Calculus Help Room, Spring 2010
  • Precalculus, Fall 2009
  • College Algebra (2 sections), Spring 2009
  • Calc 1 (2 sections), Fall 2008
  • Calc 2, Summer 2008
  • Calc 2, Spring 2008
  • Calc 1, Fall 2007
  • Calc 1, Summer 2007
  • Calc 1, Spring 2007
  • Calc 1 TA, Fall 2006
  • Executive Tutor, Math Learning Center, 2004-2006

Service

  • Organizer and Presenter, KAP Employee Training, University of Kansas, 2017-2018
  • Presenter and Coordinator, Binghamton University Mathematics Graduate Student Training, 2014-2016.
  • Member, Binghamton University Calculus Curriculum Committee, 2014-2015.
  • Coordinator, Binghamton University Graduate Conference in Algebra and Topology, 2013, 2014.
  • Chief Organizer, Binghamton University Calculus Placement Exam, 2012-2014.
  • Moderator, Binghamton University Graduate Conference in Algebra and Topology, 2011, 2012.
  • Volunteer Presenter, Mathematics Awareness Month, University of Kansas, 2009, 2010, 2011.
  • Undergraduate Work Room Supervisor, Kansas Algebra Program, University of Kansas, Spring 2009.
  • Executive in charge of walk-in tutoring, Math Learning Center, Michigan Technological University, 2004-2006.
  • Vice President, MTU Math Club, Michigan Technological University, 2005-2006.
  • Head Tutor and Program Official, Michigan Tech MaCh-1 Program, 2005-2006.