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Teaching

“In all the works on pedagogy that ever I read … I don’t remember that any one has advocated a system of teaching by practical jokes, mostly cruel. That, however, describes the method of our great teacher, Experience.”

— Charles S. Peirce

Courses

Data science (Math 1756)

Network diagram

Spring 2026

A calculus-informed, computation-based introduction to data science, taught in R. The course moves from visualizing and describing data to the linear model and its discontents: multiple and categorical regressors, ANOVA, model selection, prediction and omitted-variable bias. Students then do the practical work of logic, cleaning and wrangling data found in the wild, and presenting it in documents and code that people can read. The second half turns to probability and simulation (conditional probability, random variables, data-generating processes, the central limit theorem and the bootstrap) and ends with testing: sensitivity and specificity, p-values, power, effect sizes, and what significance does and does not mean.

Three mini-projects (the visual interpretation of data, data transformations, and writing with uncertainty) build toward a final project in which students present a set of models for a data set of their choosing. The course assumes a semester of calculus; no coding experience is assumed.

Statistical modelling (Math 2606)

Regression plot

Spring 2026 · Source on GitHub

An intensive survey of the practice and principles of statistical modeling. Over the course of the semester, we’ll be: (1) learning how to build statistical models; (2) learning how to interpret their results from real data sets, and (3) repeating that in as many ways and contexts as we can possibly squeeze in during our time together. The course is structured as a brisk – some might say breathy – tour of many of the workhorses of computational statistics: simulation, parametric models, testing, regression (in its myriad forms), model selection, and clustering. To give students as wide a range of perspectives on the subtle craft, extraordinary power, and varied dangers of statistical reasoning, we’ll draw on wide array of examples: municipal hate crimes, speed dating experiments, exoplanet surveys, criminal sentencing, immigration control procedures, and sightings of Big Foot.

Though a comprehensive review is provided, the pace of the material very much assumes a previous course in probability. No coding experience is assumed but for those with truly no experience a lighter schedule for the semester might be wise.

Bayesian statistics (Math 3606)

Plot of a proportion

Fall 2025

An applied course in Bayesian statistics, with intensive use of R. After a review of probability, likelihood and maximum likelihood estimation, the course develops Bayesian reasoning in one-ish dimension: conducting a poll, choosing priors, describing posteriors, and the conjugate models (beta-binomial, Poisson, normal, exponential and normal-gamma), along with numerical approaches and objective priors. The third part covers Markov chain Monte Carlo: rejection and importance sampling, Monte Carlo error, Markov chains, the Metropolis–Hastings algorithm, Gibbs sampling and convergence diagnostics. It closes with complex models: Hamiltonian Monte Carlo in RStan, DAGs, hierarchical models, linear and logistic regression, and ANOVA.

There are no exams. The semester ends with group presentations, in which each group investigates an applied topic in Bayesian methods from the primary literature and presents a worked example. Students need probability, including conditional probability and the common distributions, though the course starts from the beginning to bring everyone to the same level.

Honors theses

Student Year Thesis Bowdoin Library copy
Nathan Kellerman 2025–26 A Rapid Algorithm for Inferring Latent Mixture Structure in Replicate Social Science Data Digital Collections (Bowdoin login)
Avery Cutler 2025–26 Beyond the Docket: A Bayesian Exploration of Settlement Outcomes in Boston Evictions Digital Collections (Bowdoin login)
Brian Liu 2024–25 Chains for Change: Mathematical Modeling of Boston’s Eviction Court Cases Digital Collections (Bowdoin login)
Max Hukill 2019–21 A Bayesian Hierarchical Mixture Model with Continuous-Time Markov Chains to Capture Bumblebee Foraging Behavior Digital Collections (open access)
Nan Ding 2018–19 Rein Control Homeostasis and the Dynamics of Complex Ecosystem Stability Special Collections, Thesis 2019 D5
Jacob Spertus 2014–15 A Bayesian Exploration of the Arabidopsis thaliana Chloroplast Genome Special Collections, Thesis 2015 S647
Chunyi Zhao 2014–15 The Card Swiper’s Coloring Book: Statistical Inference of Social Cliques from Spatio-temporal Data Special Collections, Thesis 2015 Z4
Zoe Karp 2013–14 Bayesian Parameter Estimation without Likelihoods: An Example from Lobster Heart Modeling Special Collections, Thesis 2014 K3
Nathan Meyers 2012–13 The Twitterscape in Time and Space Special Collections, Thesis 2013 M4

Former research students (since 2023)

Name Project Position Year
James Duncan Finding level sets of complex demographic data Analyst, Federal Reserve Bank of Philadelphia 2026
Avery Cutler Bayesian inference of informal agreements from eviction dockets Transportation Planner, Foursquare 2026
Nathan Kellerman An efficient EM-algorithm for dispersed count data UConn Graduate Student 2026
Brian Liu Statistical modeling of municipal eviction records Watson Fellow 2025
Alex Richardson A hidden Markov model of student swipe records NCSU Graduate Student 2025
Sejal Prachand Spatial models and citizen ecological science data UMontana Graduate Student 2024
Lauren Traum Modeling voting blocs in state legislatures Stanford Pre-doc 2024
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