Projects

What is a Project? When you take on a project at Mathcamp, you're embarking on a chance to learn a topic in great depth. Your project might be to study closely one branch of mathematics, or it might be to create a computer program to simulate some interesting phenomenon, or it might be an original research problem. Whatever you end up doing, you'll walk away with a much deeper understanding of the material.

a telescope project

Not everyone does a project at camp; they take a lot of effort and some students prefer to focus on an ongoing class. But many people have walked away from camp saying that their project was one of the most rewarding things they did.

Choosing a Project: Projects at Mathcamp come up in lots of different ways. Sometimes, a student will propose a project to a staff member and they'll start on it right away. Sometimes, a class will naturally lead into a more in-depth project. In addition, during the second week of camp, all of the staff will post descriptions of projects they'd like to run. Then we invite the students to come and talk to the advisors, find out about each of the projects, and decide what they want to do. Often groups of interested students will form right there, and together, over the next 3-4 weeks, they'll pursue these topics with the guidance of their advisor.

Work Closely with Mathcamp Faculty: When you take on a project, a Mathcamp staff member will act as your supervisor. How closely you work with that staff member is up to you, but typically you'll meet and discuss the mathematics, show off your partial results, and get guidance and suggestions whenever you need it.

Demonstrate Your Results in the Project Fair! At the end of camp, many people who did projects present their work. This will usually be at a poster session; someone from each project will be around to discuss the work, run the computer program, or do a demonstration. Just about all of camp goes to see all the cool things that have been done over the past few weeks!

Selected projects from previous years:

a teaching project
  • Billiard-ball geometry
  • Information theory and psychology
  • Periodicity of Fibonacci numbers mod n
  • Knight tours on an m-by-n chessboard
  • Non-convex polyhedra
  • Cellular automata
  • Cops and robbers on a graph
  • Constructing the regular 17-gon
  • Admissible covers of algebraic curves
  • Mathematical Finance
  • Algorithmic composition of music
  • Intelligent ways of searching the web
  • Probability in sports
  • The elasticity equation of string
  • Digital signal processing
  • Light paths in universes with alternate physics

You can take a look at an example of projects offered recently: 2016 project descriptions [PDF].

Some students continue to work on their projects outside of Mathcamp, and some projects go a long way! Here's an example that resulted in a research paper coauthored by a student and two staff members (published in the Journal of Discrete and Computational Geometry).