Top math summer programs for high schoolers?

I'm really into math and I want to spend next summer honing my skills. What are some of the best math summer programs for high school students? Bonus points for programs that are prestigious and would look good on college applications.

There are several top math summer programs that you can consider which not only help you improve your skills but are also highly regarded by college admissions committees. I'll list some well-known programs that could be a great fit for you:

1. Ross Mathematics Program: This is an intensive summer experience designed to help students explore and deepen their understanding of mathematics through problem-solving, collaboration, and lectures. Held at the Ohio State University, it offers a unique blend of pure math exploration.

2. PROMYS (Program in Mathematics for Young Scientists): Hosted at Boston University, this six-week program offers a deep dive into mathematical concepts through challenging problem sets, seminars, and more. Students work closely with mentors who facilitate their growth in the subject.

3. MathILy (Mathematical Investigations for Young Learners): This is an immersive five-week program aimed at fostering problem-solving and critical thinking skills through mathematical investigations. Held at Bryn Mawr College, it offers a challenging yet supportive learning environment.

4. Canada/USA Mathcamp: This five-week program is open to students from both Canada and the United States. It encourages them to explore a wide range of mathematical topics through guided learning, collaborative problem-solving, and independent projects.

5. Stanford University Mathematics Camp (SUMaC): This prestigious four-week program, offered at Stanford University, provides students with a challenging mathematical curriculum, which includes topics not typically taught in high school. Participants engage in advanced coursework, guest lectures, and group projects.

6. Hampshire College Summer Studies in Mathematics (HCSSiM): A six-week program held at Hampshire College, it focuses on guided discovery learning, making mathematics both fun and engaging for high school students. The program incorporates a variety of mathematical topics and also includes evening events and weekend activities.

Each of these programs is well-regarded and can potentially enhance your college application. Keep in mind that admissions to these programs can be competitive, so make sure to research their individual application requirements and deadlines.