PZMC Number Theory Camp
Learn to explore the theory of numbers by asking thoughtful questions, working out examples, looking for patterns, making conjectures, and finally, proving your results.
JOIN US FOR OUR 14th YEAR!
Number Theory Camp
Camp Overview
Welcome to PZMC!
PZ Math Camp: Number Theory & The Art of Mathematical Thinking.
Formerly run as the Williams College Math Camp (WCMC), PZMC is the same camp with a new name. Same structure, same instructors, same location, same content!
PZMC is a residential math camp for about 28-35 mathematically gifted high school students who have completed or are currently enrolled in Algebra 2 or its equivalent. Students will be exposed to several different areas of mathematics through colloquia and other activities, but the primary focus of the camp will be Number Theory & The Art of Mathematical Thinking. Students will learn to explore the theory of numbers by asking thoughtful questions, working out examples, looking for patterns, making conjectures, and finally, proving their results. Students will learn through interactive lectures, group problem solving sessions, and final projects/presentations.
Note that although the mathematical pre-requisite is only Algebra 2, we often have students with more mathematics experience, from precalculus to calculus to multivariable and even linear algebra. One of the great things about number theory is that we don’t need those other math classes beyond Algebra 2. So we can have students with varying degrees of math experience working together successfully.
This camp complies with regulations of the MDPH and is licensed by the LBOH.
Special thanks to our sponsor, the American Mathematical Society, for their generous contribution to this year’s camp. With the help of the AMS Young Scholars Grant, we are able to provide attendees with an unforgettable summer experience.
Fees & Dates:
Location: Williams College
Camp Fee: $3,100
2026 Camp Dates: June 29 – July 10
2026 Application Due Date: April 24th, with rolling admissions starting January 12, see below for further info.
Applying
This year, all applications must be submitted through the mathprograms.org using this link.
To apply to the PZ Math Camp, you should be a current high school student, and be enrolled in or have completed Algebra 2 or its equivalent. Application deadline is on April 24, 2026, with rolling admissions starting January 12, see below for further info.
- 2026 PZMC Application Form
- 2026 PZMC Challenge Questions
- Statement of Interest
- High School Transcript (unofficial is fine) and any available standardized test scores
- 2 Recommendations (to be submitted directly by recommenders): 1 Personal & 1 Academic
More information.
Recommendations: Two recommendations (one academic and one personal) are required. Be sure to give each recommender a Recommender Form to read before writing their letter. One letter should address your mathematical abilities and accomplishments, while the other letter (from a teacher, mentor, or counselor) should address your personal character.
Statement of Interest (2 pages): Why do you want to attend PZMC? Please include information about your mathematical background and interests, and why you think the camp will be a good fit for you.
Math Challenge Questions: Submit clear and detailed solutions for as many questions as you can. We do not necessarily expect full solutions for every question. We’re interested in your approach to the question as well as your ability to communicate your ideas clearly and effectively. Correct answers without explanations will not be considered.
Rolling Admissions Process
- Applications are considered and reviewed in the order they are received as completed applications (including letters of recommendation, so please ask your recommenders for letters as soon as you’ve decided to apply for camp, even if you’re not done with your application yet).
- Most applicants will receive their enrollment decisions within 2-4 weeks of applying. If you haven’t yet heard from us and need to know our decision sooner for some reason (such as a conflicting camp acceptance deadline), please let us know, and we’ll do our best to get you a decision sooner.
- We expect camp enrollment to be complete by the end of April, though it’s possible that could happen earlier. Once enrollment is complete, we will review new applications only if slots open up.
- We will announce on the website if we are no longer accepting new applications.
What’s Included?
Tuition for in-person camp includes the following:
- 3 meals per day, typically at a Williams College dining hall with vegetarian and vegan options
- Lodging in private rooms (shared bathrooms) on single-sex floors in a Williams College dorm
- PZMC t-shirt
- Field trip to Clark Art Institute.
- Guest lectures by award-winning faculty
- 2-3 teaching assistants/residential advisors
- Social activities including scavenger hunt, hiking, math movie nights, and July 4th festivities
- Access to the Williams College Libraries
Testimonials
Meet the Instructor
Allison Pacelli, Professor of Mathematics at Williams College, is the Founder and Director of PZMC (formerly known as Williams College Math Camp WCMC). Pacelli received her Ph.D. in 2003 at Brown University, in the field of algebraic number theory. Pacelli is an award-winning teacher and the author of numerous research papers as well as the textbook (with Alan Taylor) Mathematics and Politics: Strategy, Voting, Power, and Proof (2nd edition).
Camp Experience
PZ Math Camp (PZMC) is a 12-day residential math camp for mathematically gifted high school students hosted at Williams College. Campers will be exposed to several different areas of mathematics through colloquia and other activities, but the primary focus of the camp will be Number Theory & The Art of Mathematical Thinking. Campers will learn to explore the theory of numbers by asking thoughtful questions, working out examples, looking for patterns, making conjectures, and finally, proving their results. One of our goals is to inspire students by showing them a fascinating world of mathematics not seen in standard high school courses and surrounding them by like-minded mathematically curious peers.
A typical day at math camp includes the following: group problem solving sessions, interactive lectures with ample time for student-driven mathematical discovery, a math talk by an award-winning mathematician or a panel discussion on what it’s like to major in mathematics at college, and plenty of time for fun including hiking, museum trips, and a math movie night!
FAQ’S
How much does it cost to attend PZMC?
2026: $3,100 (For those whose combined family income is at least $80,000 per year). Includes lodging and all meals while camp is in session. Financial aid is available to those domestic students whose combined family income is less than $80,000. Early Arrival or Late Departure: $125 (each extra day)
Who is elegible to attend PZMC?
Current High School Students who are currently enrolled in or have completed Algebra 2 or its equivalent (many of our participants have considerably more math than this). Successful applicants will demonstrate strong interest and promise in the field of mathematics. Occasionally, we consider current 8th graders with very strong math backgrounds.
Note that although the mathematical pre-requisite is only Algebra 2, we often have students with more mathematics experience, from precalculus to calculus to multivariable and even linear algebra. One of the great things about number theory is that we don’t need those other math classes beyond Algebra 2. So we can have students with varying degrees of math experience working together successfully.
When is math camp?
June 29 – July 10, 2026. Camp will begin at 8:30am on June 29th, and end at 4pm on July 10th. It is possible to stay at Williams for the nights of June 28th and or July 10th if necessary for transportation, but there will be an additional fee.
What will it be like to attend PZMC?
Campers will attend class and problem-solving sessions during the days. Evenings will offer opportunities for various recreational activities. Participants will also attend colloquium talks by leading mathematicians and panel discussions on what it’s like to major in math or opportunities for careers that involve mathematics. Participants will have some free time over the weekend and there will be organized recreational activities such as hiking or a museum trip.
Do you have more questions?
Contact us by clicking here.