Book

An Introduction to the Math of Voting Methods (2022)

In September 2022, I published An Introduction to the Math of Voting Methods with 619 Wreath Publishing.

The book provides an accessible introduction to the mathematics behind voting systems, including plurality voting, ranked-choice voting, Condorcet methods, approval voting, and related topics in social choice theory. It is intended for general readers, students, and instructors interested in the mathematical analysis of elections.

The book was selected as a finalist for Chalkdust Magazine’s Book of the Year 2022.

Links

Articles and Expository Writing

Insights Blog Articles

These articles were written for Insights, a public-facing publication of Emmanuel College.

  • The Mathematics of Ranked Choice Voting — An introduction to ranked-choice voting through concrete examples and numerical illustrations.
  • More on the mathematics of ranked choice voting and majoritarian winners — A discussion of continuing ballots, majority thresholds, and common misconceptions about election outcomes.

Future Writing

I hope to continue producing articles and expository writing that make ideas from voting theory and social choice accessible to broad audiences.

Teaching Materials

Many of my interests in voting theory emerged through teaching quantitative reasoning and general education mathematics courses.

Topics from voting theory appear regularly in my classroom, where students investigate questions of fairness, representation, electoral systems, and democratic decision-making through mathematical models and real-world examples.

Future additions to this section may include:

  • Classroom activities on voting methods and election systems
  • Quantitative reasoning worksheets based on contemporary elections
  • Simulations and demonstrations of voting procedures
  • Materials related to apportionment and representation
  • Resources developed for MATH 1105: Mathematical Reasoning for Modern Society

Presentations

I have presented material related to voting methods, electoral systems, and quantitative reasoning to a variety of audiences, including students, faculty, and members of the public.

Future additions to this section may include:

  • Conference presentations
  • Invited talks and public lectures
  • Workshop materials
  • Slide decks and handouts
  • Recorded presentations and videos