Peter McDonald

I'm a third year graduate student in mathematics at the University of Utah interested in commutative algebra and algebraic geometry. My advisors are Srikanth Iyengar and Karl Schwede. Along with Daniel McCormick, I'm currently organizing a virtual summer version of 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 climbing, skiing, swimming, hiking, biking, roller skating, and dance.

Here is a copy of my CV (updated May 2020).

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 about my teaching. Links to syllabi are included.

Instructor of Record

Fall 2020: Calculus III (MATH 2210)
Fall 2019: Engineering Calculus II (MATH 1320)

Graduate Teaching Assistant

Fall 2018: Accelerated Engineering Calculus II (MATH 1321)

Service

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

Association for Women in Mathematics

I am currently treasurer of the University of Utah student chapter of the Association for Women in Mathematics. 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

I'm on the organizing committee for the BRIDGES Workshop, hosted at the University of Utah June 16-18, 2021 (postponed from May 20–22, 2020). Intended for advanced undergraduate and early career graduate students interested in commutative algebra 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.

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. This past semester, I read "Algebraic Geometry: A Problem Solving Approach". More information about the program can be found here.

Office

JWB 219

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