About the Major

Ancient thinkers recognized mathematics as the language of the natural world. Today we know it drives science and social science, business and industry, even art and design. Math majors at Hamilton explore both the abstract, theoretical aspects of mathematics and its applications to a variety of topics. The curriculum delves into the many branches of math, and courses foster deductive reasoning, persuasive writing, and analytical and quantitative problem-solving. Those who love math will find themselves among like-minded peers and mentors, talking shop outside their professors' offices and producing research that they may present at a professional conference. The department also offers a minor in statistics.

Students Will Learn To:

  • Use mathematical and/or statistical tools to model real-world problems
  • Construct mathematical proofs based on rules of logical inference
  • Communicate complete mathematical and/or statistical arguments

A Sampling of Courses

Math Lounge

Graph Theory

An introduction to the theory and applications of graph theory. Topics include: trees; connectivity; Eulerian and Hamiltonian graphs; vertex-, edge- and map-colorings; digraphs; tournaments; matching theory; planarity and Ramsey numbers.

Explore these select courses:

An introduction to point set topology, a foundational topic for much of modern mathematics. We will cover topological spaces, separation axioms, quotient spaces, compactness, connectedness, path connectedness, and homotopy. In the last part of the course we will cover the fundamental group, the most basic algebraic topological invariant.

An introduction to set-theoretic probability with applications to mathematical statistics. Topics include probability spaces, discrete and continuous random variables, single and multivariate distributions, and limit theorems, leading into the mathematical theory of estimators, sampling distributions, confidence intervals, and hypothesis testing.

This course covers statistical methods in machine learning such as decision trees, random forests and support vector machines The course will use a project-based approach to give students hands-on experience using these techniques by analyzing large and complex real-world datasets. More importantly, they will learn the statistical principles behind these procedures, such as loss functions, maximum likelihood estimation and bias-variance trade-off as well as why these principles matter in real world settings.

Number theory is the study of the properties of the positive integers. Topics include divisibility, congruences, quadratic reciprocity, numerical functions, Diophantine equations, continued fractions, distribution of primes. Applications will include cryptography, the practice of encrypting and decrypting messages, and cryptanalysis, the practice of developing secure encryption and decryption protocols and probing them for possible flaws. Speaking Intensive.

Our world is built of networks: the internet, social networks, transportation networks, communication networks, biological networks. Natural and useful question include "What makes a network robust?" "Can we predict where failures might occur?" "What can we do to slow propagation of viruses along a network?" This courses will cover abstract mathematical properties of networks that can help us answer these questions. These will be examined in the context of both theoretical and real world networks. Further, student groups will analyze and report on a real world network of their choice.

Meet Our Faculty

Debra Boutin

Chair, the Samuel F. Pratt Professor of Mathematics


graph theory, graph symmetries, geometric graph theory, combinatorics

Saber Ahmed

Visiting Assistant Professor of Mathematics and Statistics


noncommutative algebras, Lie (super)algebras, quantum (super) groups, and representation theory

Clark Bowman

Assistant Professor of Mathematics and Statistics


uncertainty quantification, probabilistic modeling and simulation, mathematical biology, and high-performance computing

Jose Ceniceros

Associate Professor of Mathematics


low dimensional topology; knot theory; Heegaard Floer homology; differential geometry; contact geometry

discrete mathematics, particularly graph theory and combinatorial optimization, with a secondary teaching interest in philosophy of mathematics

Andrew Dykstra

Associate Chair, Professor of Mathematics


dynamical systems, symbolic dynamics, and ergodic theory

Courtney Gibbons

Associate Professor of Mathematics


commutative algebra, homological algebra, and applied algebra

Robert Kantrowitz

Marjorie and Robert W. McEwen Professor of Mathematics


analysis and commutative Banach algebras

Chinthaka Kuruwita

Associate Professor of Statistics, Director of Data Science


nonparametric density estimation and quantile regression models

Michelle LeMasurier

Associate Professor of Mathematics


dynamical systems and topological dynamics

Prayagdeep Parija

Visiting Assistant Professor of Mathematics


Probabilistic geometric group theory

James Burton

Lecturer in Mathematics and Statistics


Explore Hamilton Stories

Rob Kantrowitz ’82

Kantrowitz Publishes in Elemente der Mathematik

An article titled "Approximation of polynomials by Hermite interpolation" by the Marjorie and Robert W. McEwen Professor of Mathematics Robert Kantrowitz '82 and Michael M. Neumann of Mississippi State University appears in the current issue of the journal Elemente der Mathematik.

Research Round-Up / Kudos - illustration of a microscope, a student presenting a poster, books, and a student painting.

Kudos! Recent Student Accomplishments

Hamilton students take on unique projects that reflect their talents and interests. In many cases, they collaborate with faculty mentors on this work, which often leads to co-authored papers, joint presentations at professional conferences, and professors mentoring students during academic competitions. Check out what some of our students have been up to recently.

Collage of participants at the January 2023 Math Joint Meeting

Hamilton Well-Represented at Joint Math Meetings

Professor of Philosophy Russell Marcus was an invited speaker at the Joint Mathematics Meeting (JMM) that took place recently in Boston, and several Mathematics faculty members and students presented research.

Careers After Hamilton

Hamilton graduates who majored in mathematics are pursuing careers in a variety of fields, including:

  • Financial Analyst, The New York Times
  • Resident Physician, Westchester Medical Center
  • Business Analyst, Federal Reserve Bank of New York
  • Professor of Industrial Engineering, Northeastern University
  • Software Engineer, Mitre Corp.
  • Legal Analyst, Department of Justice
  • Actuarial Analyst, GEICO
  • Math Teacher, Midlakes High School
  • Infectious Disease Epidemiologist, UNC Gillings School of Global Public Health


Department Name

Mathematics and Statistics Department

Contact Name

Debra Boutin, Chair

Office Location
198 College Hill Road
Clinton, NY 13323

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