Finite Fourier Analysis - Mentee: June Kim, Mentor: Jenny Smucker
Understanding the Hahn Banach Problem - Mentee: Lise Bejtlich, Mentor: Jenifer de Jager
Spectral Methods - Mentee: Ruba Mouayd Azem, Mentor: Amit Rotem
How Computers Rank, Unrank, and Succeed Objects - Mentee: Leigh Dubois, Mentor: Aditya Khanna
The History of Calculus - Mentee: Kathleen Reese, Mentor: Mike Ackermann
The FFT and Multiplication - Mentee: David Blackburn, Mentor: Alex Novotny
The Construction of a Simple Set - Mentee: Natalie Brace, Mentor: Matt Park
Diophantine Equations and Conway’s Topograph - Mentee: Paul Clary, Mentor: Will Mahaney
If you want to see more, check out these projects that have been done by DRPs at other univeristies:
https://drp.math.harvard.edu/past-projects-0
https://math.virginia.edu/drp/projects/