Nicholas Munarriz

Mentor: Dr. Francis Garvan
College of Liberal Arts and Sciences
 
"I got involved with research because it's a chance to make something known that was never known before. It's a chance to take the sphere of human knowledge and to make it a little bigger."

Major

Mathematics & Computer Science

Minor

Business Administration

Research Interests

  • Number Theory
  • Data Science
  • Algorithms

Academic Awards

  • Honors Program 2012
  • President's Honor Roll 2012
  • Dean's List 2012-2015
  • University Scholars Program 2015

Organizations

  • Student Honors Organization
  • Programming Team

Volunteer

  • Rebuilding Together
  • Dan Marino Foundation

Hobbies and Interests

  • Running
  • Sports
  • Music
  • Programming

Research Description

Transformation Properties for some of Ramanujan's Mock Theta Functions
Last spring we investigated transformation properties of Dyson's rank function R(z,q) when z is a p-th root of unity and p is a prime > 3, using the theory of harmonic Maass forms and some computer experimentation. Such functions are related to Ramanujan's third order mock theta functions. We continue our investigation for the cases z=-1 and z a cubic root of unity.