- Office: Center for Math & Computing 226
- Phone: 507 222 4450
- Email: rfjones@carleton.edu

- Profile
- Connections

### Introduction

Math has motivated me since I was young -- I love its structure, its elegance, its counterintuitive conclusions, and above all the creative turns that lead to the resolution of a stubborn problem. I love both thinking about math and talking about math, so being a mathematician at Carleton is basically a dream job for me. In my research, I study numbers and their generalizations, particularly those that arise from the process of iteration. As one example: start with the number 1, square it, then add 1. Do this over and over again to get a sequence that goes 1, 2, 5, 26, and so on. Sample question: in this infinite sequence, how many of the numbers are prime? I wish I could tell you the answer, but no one knows it. Many other similarly tantalizing questions arise in my research, and most are still unsolved. There are lots of opportunities for new investigations, and research projects involving both student and faculty collaborators.

### Education & Professional History

Amherst College, BA 1998.

Ecole Normale Superieure, Paris, Visiting student 1998-1999.

Brown University, PhD 2005.

Post-doc, University of Wisconsin-Madison, 2005-2008.

Assistant professor, College of the Holy Cross, 2008-2012.

At Carleton since 2012.

### Highlights & Recent Activity

To check out some of the papers I've written, see my website http://www.people.carleton.edu/~rfjones/

You can also find many of my papers on the ArXiv preprint server: http://arxiv.org/find/math/1/au:+Jones_R/0/1/0/all/0/1

### Personal Interests

### Courses Taught This Year

- MATH 232: Linear Algebra (Spring 2018)
- MATH 342: Abstract Algebra I (Fall 2018)
- MATH 120: Calculus 2 (Fall 2018)
- MATH 236: Mathematical Structures (Winter 2019)
- MATH 395: Topics in the Theory of Elliptic Curves (Winter 2019)
- MATH 232: Linear Algebra (Spring 2019)