Alex Schaefer

I am a mathematician specializing in combinatorics, particularly graph theory. I am an Academic Program Associate and 

Multi-Term Lecturer for the Department of Mathematics at the University of Kansas.

• 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. AKCE Int. J. Graphs Comb. 17 (2020), no. 1 MathSciNet   (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• The Negative Cycle Vectors of Signed Complete Graphs (2015) (preprint), superseded by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. Ars Math. Contemp. 16 (2019), no. 2 MathSciNet (preprint)

• Balanced Non-Transitive Dice II: Tournaments (2017) Accepted for Publication (preprint)

• Highly transitive matchings in graphs with Eric Swartz. European J. Combin. 92 (2021) MathSciNet (preprint)

• University of Kansas Combinatorics Seminar, April 2018. 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

• Binghamton University Ph.D. Defense, July 2017. Title: Permutable Matchings and Negative Cycle Vectors

• 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

• College Algebra, Fall 2025

• College Algebra, Online, Fall 2025

• Introductory Quantitative Literacy, Online, Fall 2025

• College Algebra, Summer 2025 [Hybrid/Synchronous]

• College Algebra (2 sections), Spring 2025

• College Algebra, Online, Spring 2025

• College Algebra (2 sections), Fall 2024

• College Algebra, Online, Fall 2024

• College Algebra, Summer 2024 [Hybrid/Synchronous]

• College Algebra (2 sections), Spring 2024

• College Algebra, Online, Spring 2024

• College Algebra (2 sections), Fall 2023

• College Algebra, Online, Fall 2023

• College Algebra, Summer 2023 [Hybrid/Synchronous]

• College Algebra (2 sections), Spring 2023

• College Algebra, Online, Spring 2023

• College Algebra (2 sections), Fall 2022

• College Algebra, Online, Fall 2022

• College Algebra, Summer 2022 [Hybrid/Synchronous]

• College Algebra (2 sections), Spring 2022

• College Algebra, Online, Spring 2022

• College Algebra (2 sections), Fall 2021

• College Algebra, Online, Fall 2021

• College Algebra, Summer 2021 [Hybrid/Synchronous]

• College Algebra (2 sections), Spring 2021 [Hybrid/Asynchronous]

• College Algebra, Online, Spring 2021

• College Algebra (2 sections), Fall 2020 [Hybrid/Asynchronous]

• College Algebra, Online, Fall 2020

• College Algebra, Online, Summer 2020

• College Algebra (2 sections), Spring 2020 [Hybrid/Asynchronous]

• College Algebra, Online, Spring 2020

• College Algebra (2 sections), Fall 2019

• College Algebra, Online, Fall 2019

• College Algebra, Online, Summer 2019

• College Algebra, Spring 2019

• College Algebra, Online, Spring 2019

• College Algebra (2 sections), Fall 2018

• College Algebra, Online, Fall 2018

• College Algebra, Online, Summer 2018

• College Algebra, Spring 2018

• College Algebra, Online, Spring 2018

• College Algebra, Fall 2017

• College Algebra, Online, 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

• Undergraduate Teaching Assistant Training and Mentorship, University of Kansas, 2018--Present

• Graduate Teaching Assistant Training and Mentorship, University of Kansas, 2017--Present

• Organizer and Presenter, KAP Employee Training, University of Kansas, 2017--Present

• QM Course Designer, Asynchronous College Algebra, University of Kansas, Summer 2023

• QM Course Designer, Hybrid/Synchronous College Algebra, University of Kansas, Summer 2023

• Organizer and Presenter, KU Math Teachers' Circle, University of Kansas, Summer 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.

Ranked-Choice Voting