During the first week of the program, faculty mentors will introduce students to the research topics. Students will be divided into three groups, and each group will work closely with two faculty mentors on an open research problem. The research topics for this summer are:

• Number Theory, Polynomial Divisor Graphs (Required background: Either a first course in abstract algebra or number theory);
• Group Theory, Vertex Minimal Graphs with Automorphism Group of Prescribed Order (Required background: A first course in abstract algebra); and
• Probability, Functional Dimension of Neural Networks (Required background: A course in linear algebra and a course in probability).

Review of applications will begin on March 1 and continue until all positions are filled. A complete application requires an completing an online Microsoft Form, as well as the following items submitted electronically through https://www.mathprograms.org: an unofficial transcript, a list of math courses completed (with the final grade and textbook used in each course), and two recommendation letters.

All participating students must be United States citizens, United States nationals, or permanent residents of the United States. Women, underrepresented minorities, persons with disabilities in research, first generation college students, and veterans are strongly encouraged to apply.