Peter McDonald

I'm a fifth year graduate student in mathematics at the University of Utah interested in commutative algebra and algebraic geometry, particularly the use of derived category methods to study singularities in equal characteristic. My advisors are Srikanth Iyengar and Karl Schwede. Check out our student commutative algebra seminar, BIKES.

Before coming to Utah, I had a brief stint in consulting at EY-Parthenon. Prior to that, I received my BA in mathematics from Williams College in Williamstown, MA. Outside of math, I enjoy skiing, hiking, biking, roller skating, and (listening and dancing to) music. I'm also passionate about public transit and urbanism.

Here is a copy of my CV (updated January 2021).

Publications

Fleming, Ji, Loepp, McDonald, Pande, Schwein. Completely controlling the dimensions of formal fiber rings at prime ideals of small height. J. Commut. Algebra 11 (2019), no. 3, 363--388. doi:10.1216/JCA-2019-11-3-363. https://projecteuclid.org/euclid.jca/1575363817. arXiv: 1604.04176

Fleming, Ji, Loepp, McDonald, Pande, Schwein. Controlling the dimensions of formal fibers of a unique factorization domain at the height one prime ideals. J. Commut. Algebra 10 (2018), no. 4, 475--498. doi:10.1216/JCA-2018-10-4-475. https://projecteuclid.org/euclid.jca/1544950826. arXiv: 1601.07136

Thomas Garrity and Peter M. McDonald, Generalizing the Minkowski Question Mark Function to a Family of Multidimensional Continued Fractions, International Journal of Number Theory, Vol. 14 No. 9, October 2018. arXiv: 1701.09070

Teaching

Below you can find information on past courses I've taught.

Instructor of Record

Fall 2022: MATH 1100: Business Calculus
Spring 2022: MATH 2210: Calculus III
Fall 2021: MATH 1220: Calculus II
Spring 2021: MATH 2210: Calculus III
Fall 2020: MATH 2210: Calculus III
Fall 2019: MATH 1320: Engineering Calculus II

Graduate Teaching Assistant

Fall 2018: MATH 1321: Accelerated Engineering Calculus II

Service

Below are some activities I've been involved with here in the math department.

Association for Women in Mathematics

While I'm not currently involved with the AWM, last year I was the RTG Conference Chair and was also treasurer for the two years before that. As an organization, we are focused on supporting all underrepresented groups in mathematics. You can find out more information about our activities on our website.

BRIDGES Workshop

This past summer, I chaired the organizing committee for the BRIDGES Workshop, hosted at the University of Utah June 7-10, 2022. Intended for advanced undergraduate and early career graduate students interested in algebraic geometry, commutative algebra, geometric group theory, and number theory, the conference aims to introduce students to possible research areas and build a sense of community among a diverse group of young mathematicians. More information can be found on our website. The next iteration of this conference will be summer 2024!

University of Utah Directed Reading Program in Mathematics

The University of Utah Directed Reading Program in mathematics partners undergraduate students with graduate mentors to pursue independent reading projects during the semester. In the past, I've worked with students to read about algebraic geometry, complex analysis, and mathematical logic. More information about the program can be found here.

Office

JWB 212

Email

mcdonald [at] math [dot] utah [dot] edu

Mailing Address

Department of Mathematics
University of Utah
155 South 1400 East, JWB 233
Salt Lake City, UT 84112