Christopher Roman Miller

Personal Data

Place and Date of Birth: Madison, Wisconsin, USA | 23 March 1992 Permanent Address: w7947 County Road ZB, Onalaska, WI 54650, USA Current Address: 2235 Bonar Street Unit H, Berkeley, CA 94702, USA Phone: (608) 406-0275 email: [email protected]

Education

May 2019 Doctor of Philosophy (expected) University of California, Berkeley Mathematics

May 2014 Bachelor of Science University of Wisconsin-Madison Majors: Mathematics with Honors Applied Mathematics, Engineering and Physics Honors Thesis: Ribbon Graphs and Homology of Moduli Spaces Advised by Professor Andrei Caldararu GPA 3.82/4.00 publications

1. The Catenary and Tame degrees on a Numerical Monoid are eventually periodic (link) S. Chapman, M Corrales, A. Miller, C. Miller, D. Patel Journal of the Australian Mathematical Society 2. The Catenary degree on a Numerical Monoid generated by an Arithmetic Sequence S. Chapman, M Corrales, A. Miller, C. Miller, D. Patel This work will appear in Communications in Algebra

Honors

Four Semesters Dean’s List

2014 Phi Beta Kappa

Computer Skills

Experienced User: LATEX, Beamer, Sage, Java, Mathematica Beginner: Macaulay2, Maple, MatLab, Research and Training

Summer 2014 Aalto Science Internship I was employed as an intern at Aalto University in Espoo, Finland through Professor Alexander Engström, and was part of the Engström Group. Within this group, my research was di- rected by Professor Kaie Kubjas. We used Mathematica, Maple, Macaulay2 and methods in algebraic geometry to model the subspace of positive 4 × 4 matrices that have nonnegative rank less than four.

Summer 2013 Pacific Undergraduate Research Experience I attended the Pacific Undergraduate Research Experience in Hilo, Hawai’i. Under the direction of Professors Scott Chap- man and Roberto Pelayo, I researched commutative, cancella- tive monoids. I showed that a particular combinatorial invariant called the catenary degree had nice periodicity properties when applied to numerical monoids, as did five other combinatorial invariants. I also worked with a group characterizing the cate- nary degree of the family of numerical monoids generated by arithmetic sequences. Links to the papers can be found above.

Teaching

September 2014 - present Graduate Student Instructor University of California-Berkeley I run two discussion sections each semester. I have taught Math 1A and Math 1B (Calculus).

September 2014 - present Directed Reading Program University of California-Berkeley I mentored an undergraduate through DRP in Fall 2014. We met weekly to discuss readings in the book Group Theory and Quantum Mechanics by Michel Tinkham, a new topic for both of us. As it happens, my mentee got an internship offer to work in a quantum computing lab. I currently help with the organization of DRP.

September 2012 - May 2014 Math Tutor University of Wisconsin-Madison MathLab I assist undergraduate students in completing their home- work, and I organize review sessions near major exams.

August 2012- December 2012 Student Assistant Wisconsin Emerging Scholars Program I assisted a Teaching Assistant in running discussion sections for Wisconsin Emerging Scholars (WES). WES is a program for undergraduates that want a more thorough understanding of their coursework. Presentations

December 2014 Introduction to the Exponential Polynomial Distribution D-cember seminar, University of California-Berkeley

August 2014 Mixture Model: Figures and Boundaries Interns’ Seminar, Aalto Science Institute, Finland

May 2014 Ribbon Graphs and the Homology of Moduli Spaces Senior Honors Thesis Symposium, University of Wisconsin-Madison

January 2014 The Catenary Degree of Numerical Monoids Poster Presentation, Joint Mathematics Meeting, Baltimore

August 2013 The Catenary Degree of Elements in Numerical Monoids (link) Pacific Undergraduate Research Experience in Hilo, Hawai’i

June-August 2013 Jam Sessions: Research progress updates Pacific Undergraduate Research Experience in Hilo, Hawai’i

April 2012 Honors Presentation: Representation Theory Math 542: Modern Algebra II, University of Wisconsin- Madison

April 2012 Honors Presentation: Theory of the Rubik’s Cube Math 541: Modern Algebra II, University of Wisconsin- Madison

Interests and Extracurricular Activities

2014-present University of California- Berkeley Triathlon Team

2014-present Berkeley Graduate Assembly Representative

2010-2014 University of Wisconsin- Madison Math Club Member

2010-2014 University of Wisconsin Marching Band

2010-2014 Varsity Blues Jazz Band

I played trumpet with the University of Wisconsin Marching Band for all four years I was in Madison, including three Rose Bowls. This took up about 25 hours per week during football seasons. I love to travel, read, exercise, and play music. I regularly compete in races such as the the Madison 8k and the Tough Mudder obstacle course. Last summer I ran the Helsinki marathon, and rowed 60k in a church boat in Sulkava. Now I am spending a lot of time around the triathlon team with the goal of competing this summer. There are few things more satisfying than improvement through training. This is a philosophy that I apply to my studies as well as athletics.