The Hampshire College Summer Studies in Mathematics (HCSSiM): A Complete Guide

October 19, 2025

By Eric Eng

Founder/CEO of AdmissionSight
BA, Princeton University

students who are recipients of the coolidge scholarship

If you’re a high school student who loves tackling challenging math problems, discovering new ideas, and building lasting friendships through shared curiosity, the Hampshire College Summer Studies in Mathematics (HCSSiM) might be the perfect fit. Each year, it draws passionate students from across the world to Hampshire College in Amherst, Massachusetts, for six weeks of immersive, joyful mathematical exploration.

This guide covers everything you need to know about HCSSiM 2025—from dates and eligibility to costs, the application process, and why this program continues to shape generations of mathematicians.

What Is HCSSiM?

The Hampshire College Summer Studies in Mathematics (HCSSiM) is a six-week residential math program held at Hampshire College in Amherst, Massachusetts. The 2025 session, which marks the 53rd year of the program, runs from June 29 to August 9, 2025.

HCSSiM was founded in 1970 (the same year Hampshire College opened) by Professor David C. Kelly, a beloved mathematician and educator known for making math both accessible and fun. From the start, Kelly envisioned a place where highly motivated high school students could explore advanced mathematical ideas in a supportive, creative environment. He was also a strong advocate for bringing more young women into mathematics, something he championed through the program’s inclusive approach.

Over the decades, HCSSiM has earned a reputation as “a national treasure,” combining serious mathematical exploration with a spirit of humor, curiosity, and collaboration. Kelly directed the program until his last day, and his influence still shines through every class, theorem, and late-night problem session.

Unlike typical math camps, HCSSiM focuses on doing mathematics—experimenting, exploring, and discovering new ideas—rather than memorizing formulas. Students take part in hands-on workshops, problem-solving sessions, and the popular Prime Time Theorem, where professors and guest mathematicians share fascinating insights and elegant proofs.

Evenings bring plenty of collaboration and fun—students tackle challenging problems together, join informal discussions, and enjoy weekly math films like Fermat’s Last Tango.

HCSSiM activities

The HCSSiM activities are a combination of challenging academics, creativity, and humor. Here are some of the common activities from week 1 to 6:

Week Highlights and Activities
Week 1
  • Orientation and introductions (“Getting to Know You”). Meet fellow students and get to know the program’s culture.
  • Workshops begin. Morning classes led by professors and graduate students focus on exploration and collaboration.
  • Evening problem sessions. Students work in groups to tackle creative math challenges.
  • Math Movies Night (Wednesday). Screenings of math-themed films like Fermat’s Last Tango or Not Knot.
  • Saturday special activity. Early bonding event or outdoor group challenge.
Week 2
  • Hike the Holyoke Ridge. Group hiking trip with faculty and peers.
  • Prime Time Theorem sessions. Pre-dinner lectures featuring interesting mathematical ideas and proofs.
  • Pizza, Puzzles, and Pooches at Kelly’s House. A classic HCSSiM tradition combining food, puzzles, and dogs.
  • Workshops and collaboration. Continued problem-solving and teamwork throughout the week.
Week 3
  • Workshops continue. Students deepen their understanding of complex topics.
  • Guest lectures and discussions. Talks from visiting mathematicians and alumni.
  • Day trip to Boston. A full-day excursion for cultural enrichment and relaxation.
  • Weekend study and recreation. Time for informal study, games, or rest.
Week 4
  • Rest day (“Sleep”). A quiet Sunday before the program’s next phase.
  • Start of Maxi-Courses and Mini-Courses. Students select focused areas of study; Maxis runs daily for extended sessions, while Minis cover short, specialized topics.
  • Evening problem sessions. New challenges connected to Maxi/Mini material.
  • Prime Time Theorems. Continue as a core feature with engaging presentations.
Week 5
  • Rest day (“Sleeep”). A calm Sunday to recharge.
  • Continuation of Maxis and Minis. Students progress through in-depth mathematical themes.
  • Second Round of Pizza, Puzzles, and Pooches. Another evening of puzzles and relaxation.
  • New Mini-Courses begin. Start of fresh topics in the second half of the term.
  • Prime Time Theorems and Guest Talks. Inspiring presentations from visiting mathematicians.
Week 6
  • Final rest day (“Sleeeep”). Last chance to relax before closing events.
  • Final Classes and Review Sessions. Reflecting on and consolidating the summer’s learning.
  • Student presentations and showcases. Participants share discoveries and creative work.
  • Talent show and closing celebration. A fun and memorable send-off event.
  • Farewell and departure (“The Program Diffuses”). Closing day as students say goodbye and head home.

Each week blends morning workshops, evening problem sessions, and the daily Prime Time Theorem, along with time for recreation, guest lectures, and long-standing traditions that make every summer both intellectually stimulating and memorable.

HCSSiM Acceptance Rate

HCSSiM enrolls around 51 students, with roughly 51% identifying as girls or non-binary, creating a diverse and inclusive learning community. This also shows that, despite not publishing an official acceptance rate, admission is extremely competitive due to its small class size and selective review process. Accepted students come from all across the United States, along with a handful of international participants each summer.

Rather than relying on test scores, the HCSSiM application evaluates applicants through the “Interesting Test,” a creative set of math challenges designed to assess reasoning, originality, and curiosity. The most successful applicants are those who think deeply, explain clearly, and show persistence and enthusiasm for discovery—not just those who get every answer right.

In short, HCSSiM is prestigious, but what sets it apart is its emphasis on insight, collaboration, and intellectual curiosity over competition.

HCSSiM Application Deadline

The HCSSiM 2025 application is now closed, as the program reached capacity due to an overwhelming number of strong submissions. The next application cycle will open in early January 2026 for the 54th session.

Students interested in applying should check the official HCSSiM website for the updated application deadline each year. Here are the important dates for the application process:

  • Application opens on early January 2026.
  • Interesting Test due is typically by late April (April 25 in 2025).
  • Program dates are June 29 – August 9, 2025.
  • Admission notifications are sent on a rolling basis after tests are reviewed.

Aim to submit your test early. Admission isn’t just about correctness, but the thought process behind your answers.

HCSSiM Requirements

Before going into the HCSSiM application, it’s important to understand who the program is designed for, what materials you’ll need, and how financial aid works. Unlike many selective programs, HCSSiM keeps its application process refreshingly straightforward—placing emphasis on curiosity, effort, and creativity rather than grades or test scores.

Eligibility

HCSSiM does not set a strict age requirement for applicants. As the program describes, “mathematical age” (meaning a student’s readiness and curiosity about advanced ideas) is considered more meaningful than chronological age.

In general, most participants attend after completing their sophomore or junior year of high school. However, students who have finished 9th grade and already studied advanced mathematics are also considered. On rare occasions, even younger applicants may be invited if their application demonstrates strong interest and ability.

The program emphasizes that all interested students should not hesitate to apply. The HCSSiM application is free and designed to encourage exploration and communication rather than formal qualifications. Only those who have already graduated from high school are ineligible.

Two girls passionate about math thinking about joining the Mathematical Olympiad Program

Overall, HCSSiM welcomes high school students who are genuinely interested in mathematics and eager to engage with challenging concepts in a collaborative environment.

Required documents

The HCSSiM application is built around your ideas, not your test scores. Instead of transcripts or grades, applicants complete tasks that reveal their thinking and creativity. Here’s what you’ll need:

  • The HCSSiM Interesting Test (required) is a thought-provoking set of math challenges that focuses on how you reason, not whether you get the “right” answer.
  • A short student questionnaire gives the admissions team a sense of your background and interests.
  • A teacher recommendation (optional but encouraged) that offers additional insight into your academic and personal strengths.

There are no standardized test scores or transcript requirements since HCSSiM wants to see your originality, reasoning, and enthusiasm for math.

Program costs

The HCSSiM cost for 2025 is $6,511, which includes:

  • Tuition and academic instruction
  • Room and board (three meals per day)
  • Local transportation to and from nearby bus, train, or airport services
  • Recreational activities and facilities

Personal expenses and travel to Amherst are not included, but financial support is abundant. HCSSiM offers generous need-based aid, ensuring that financial circumstances never prevent an accepted student from attending.

In fact, domestic students with household incomes below $85,000 attend for free, including travel grants. Families above that threshold are considered individually, and aid is available to international students as well.

How to Get into HCSSiM

Applying to HCSSiM is a genuine exploration of how you think about mathematics. The program’s application process is designed to highlight curiosity, persistence, and creativity rather than test-taking skills.

Below is a step-by-step outline of how the process works, from the Interesting Test to preparing for the program once accepted:

Step 1: Take the Interesting Test.

The HCSSiM Interesting Test is the heart of the application. It’s basically a collection of open-ended math problems that encourage you to think deeply and show your reasoning process. The questions often involve logic, pattern recognition, and problem-solving creativity rather than memorized formulas.

When answering this test, don’t focus solely on getting the “right” answer. What matters most is the clarity and originality of your thinking. Explain your reasoning and approach in detail. Even if you’re uncertain about your answers, submit your test—HCSSiM values persistence, effort, and creativity more than perfection.

Step 2: Submit your application.

Applications are submitted through the official HCSSiM website. Along with your completed Interesting Test, you’ll provide contact information and, optionally, a teacher recommendation.

Try to submit your materials before the HCSSiM application deadline to ensure full consideration. Early submissions also allow more time for follow-up communication if needed.

Step 3: Await your results.

Once your application is submitted, the admissions team reviews all materials carefully. Because the program receives many strong applications, the review process can take several weeks.

Accepted students usually receive their HCSSiM results in late spring, followed by a detailed welcome packet.

Step 4: Review financial aid and confirmation materials.

If you’re accepted, you’ll also receive information about financial aid, program costs, and required forms (such as travel, medical, and consent documents). HCSSiM offers extensive need-based aid, so students are encouraged to complete these forms promptly to finalize their award.

Financial aid decisions are confidential and will not affect your admission. Respond quickly to secure your spot, as the program operates with limited spaces.

a team answering a math problem during the hmmt

Step 5: Plan for arrival.

After confirming your place, students begin preparing for the summer. The program provides guidance on travel arrangements to Amherst, arrival times, and what to bring (including calculators, notebooks, and a willingness to collaborate).

Participants are picked up from nearby train, bus, and airport stations, such as Springfield, MA, and Bradley International Airport (Hartford/Springfield).

Before the program, spend some time reviewing mathematical topics you enjoy, but remember that curiosity and enthusiasm will serve you far better than memorization.

Step 6: Join the HCSSiM community.

Once on campus, you’ll take part in workshops, evening problem sessions, and the daily Prime Time Theorem. Faculty, graduate students, and peers work closely together, creating a collaborative, discussion-based environment.

By the end of the six weeks, you’ll have gained new mathematical knowledge and the experience of doing real mathematics—an understanding extending far beyond the classroom.

Why Join HCSSiM?

While HCSSiM is best known for its rigorous approach to mathematics, what makes it truly special is the sense of community and curiosity it builds. Students leave with sharper problem-solving skills, confidence, lasting friendships, and a new perspective on how mathematics connects to the world around them.

Here are the more detailed benefits of being a part of HCSSiM:

1. Explore mathematics in depth.

At HCSSiM, students go far beyond the high school curriculum. You’ll study math topics such as number theory, topology, combinatorics, chaos, and probability, often at a level comparable to college math courses. Through workshops and problem sessions, you’ll experience what it means to do real mathematics by discovering patterns, forming conjectures, and developing proofs collaboratively.

2. Learn from passionate mathematicians.

Classes and lectures are led by professors, researchers, and accomplished mathematicians, including HCSSiM alumni who return to teach. Their enthusiasm and storytelling make even complex ideas approachable. You’ll also attend Prime Time Theorems, where visiting mathematicians share insights that bridge theory and creativity.

3. Join a supportive and inclusive community.

HCSSiM students live, study, and think together for six weeks, creating a welcoming and collaborative environment. Each student has a single dorm room for privacy, but most learning happens in common spaces—during meals, problem sessions, or even while playing frisbee on the lawn. The result is a community that values cooperation as much as curiosity.

4. Connect with a lifelong network.

HCSSiM alumni remain closely connected through shared traditions such as Yellow Pigs Day, an annual gathering celebrating mathematics, creativity, and friendship. Many alumni go on to have careers in science, research, and technology, but the sense of connection and shared experience continues long after the summer ends.

5. Develop skills for college and beyond.

The HCSSiM summer program helps students grow intellectually and personally. You’ll strengthen your reasoning, logical writing, and problem-solving skills—qualities that stand out in college applications and academic research. More importantly, you’ll learn to think independently, approach challenges with confidence, and enjoy the process of discovery itself.

Frequently Asked Questions

1. Is HCSSiM prestigious?

Yes, HCSSiM is widely regarded as one of the most prestigious math summer programs in the U.S., alongside programs like PROMYS, Ross, and MathILy. Its alumni have gone on to excel at top universities and in fields ranging from academia to tech innovation.

2. What is the HCSSiM acceptance rate?

HCSSiM doesn’t release exact numbers, but admission is highly competitive. Only about 51 students are accepted each year out of hundreds of applicants.

3. What makes the HCSSiM application unique?

The Interesting Test, a creative problem set, is the centerpiece of the application. It’s less about correctness and more about showing your mathematical thinking process.

4. What are the HCSSiM dates for 2025?

The 2025 session runs from June 29 to August 9, 2025.

5. What’s included in the program cost?

The HCSSiM cost of $6,511 covers tuition, housing, meals, and local activities. Substantial financial aid ensures all admitted students can attend. However, applying is free.

Takeaways

  • HCSSiM is a six-week, prestigious math summer program at Hampshire College that blends rigorous academics with creative exploration.
  • The program is selective, admitting around 51 students yearly through the HCSSiM application and its signature Interesting Test.
  • The HCSSiM cost is $6,511, but ample financial aid ensures accessibility regardless of income.
  • Participation in HCSSiM 2025 can enhance both your mathematical maturity and your college application, helping you stand out as a curious, capable problem-solver.
  • If you’re passionate about mathematics, get extracurricular planning to help you get ready for an HCSSiM summer that will challenge and inspire you.

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