### About me

I am a fifth-year PhD candidate in the mathematics department at the University of Minnesota. I study analysis and probability, and in particular discrepancy theory and energy optimization. My advisor is Dmitriy Bilyk. I did my undergraduate work at Carleton College.

You can contact me at michmast "at" umn "dot" edu. My office is Vincent Hall 520.

Find my CV here (updated Sept. 2022)

### Research

Publications

"Lower bounds for the directional discrepancy with respect to an interval of rotations" (with Dmitriy Bilyk). Journal of Fourier Analysis and Applications 29 (2023). Link: https://link.springer.com/article/10.1007/s00041-023-10005-7

Submitted papers

"The spherical cap discrepancy of HEALPix points" (with Damir Ferizović and Julian Hofstadler). arXiv link: https://arxiv.org/abs/2203.07552

"Polarization and greedy energy on the sphere" (with Dmitriy Bilyk, Ryan Matzke, and Stefan Steinerberger). arXiv link: https://arxiv.org/abs/2302.13067

From undergraduate research

C. Gaetz, M. Mastrianni, R. Patrias, H. Peck, C. Robichaux, D. Schwein, K.Y. Tam, K-Knuth Equivalence for Increasing Tableaux, Electron. J. Comb., 23(1) (2016), #P1.40.

### Talks and Travel

Upcoming:

May 15-18, 2023: Speaking at the Shanks Conference on "Approximation Theory and Beyond" at Vanderbilt University, Nashville, TN

Past:

April 22-23, 2023: Contributed a poster at the "Applications of Harmonic Analysis to Convex Geometry" conference at NDSU, Fargo, ND

April 18, 2023: Spoke in the Carleton College Math/Stats Colloquium.

Mar 18-19, 2023: Spoke in the session on Convexity and High-Dimensional Probability at the AMS sectional meeting in Atlanta, GA.

Nov 21, 2022: Spoke in the Probability and Analysis Webinar.

Nov 15, 2022: Spoke in the Rainwater Seminar at the University of Washington.

July 17-22, 2022: "Workshop on Monte-Carlo and Quasi-Monte-Carlo Methods" at RICAM, Linz, Austria

Organized a special session `Quantifying Notions of Equidistribution on the Sphere' with Damir Ferizović

Gave talk "The spherical cap discrepancy of HEALPix points"

July 11-15, 2022: "Random and Deterministic Point Configurations" at Lluís Santaló School, UIMP, Santander, Spain

Gave talk "Directional discrepancy on restricted intervals and Cantor sets"

June 27-July 1, 2022: "Point Distributions: Deformations and Rigidity" at LMS Research School, UCL, London, England

Contributed poster "Directional discrepancy on restricted intervals and Cantor sets"

June 13-17, 2022: "Harmonic Analysis and Related Topics" at Centre de Recerca Matemàtica, Barcelona, Spain

Contributed poster "Directional discrepancy on restricted intervals and Cantor sets"

May 23-27, 2022: "Workshop in Convexity and High-Dimensional Probability" at Georgia Tech, Atlanta, GA

Gave talk "Directional discrepancy on restricted intervals and Cantor sets"

Oct 12, 2021: spoke in the Analysis Seminar at TU Graz (Graz, Austria) on "Problems in Directional Discrepancy"

Oct 5, 2021: spoke in the Analysis Seminar at KU Leuven (Leuven, Belgium) on "Problems in Directional Discrepancy"

Oct 21, 2020: gave an expository talk in the Point Distributions Webinar on "Bounds for Star-Discrepancy with Dependence on the Dimension". Slides / Video

### Outreach

I am a co-organizer in 2022-23 of the Directed Reading Program and have participated as a DRP mentor for several undergraduate students, reading on topics such as graduate probability theory, discrepancy theory, and energy optimization on the sphere.

I was a co-organizer of the Point Distributions Webinar in Spring 2022.

I was a member of the UMN SIAM student chapter in 2019-2020. After the pandemic stifled our ability to host events with faculty, I helped compile a google drive with video introductions to the research of several UMN math faculty members open to taking students. If you would like access to the drive (even though it's a few years old :)), please contact me.

In 2018-2019, I facilitated the Undergraduate Problem Solving Group.

### Teaching

Spring 2023: I am the instructor for an asynchronous online section of MATH 1272 (Calculus II).

Previously: Have lectured for MATH 1271 (Calculus I) in asynchronous online format; four sections of MATH 1272 (Calculus II) in both synchronous and asychronous online formats; MATH 2243 (Linear Algebra and Differential Equations) in synchronous online format; MATH 1031 (College Algebra), conducted in-person until the class moved to synchronous online instruction; and TA'ed for MATH 1051 (Precalculus I).

Pre-graduate school: I was a Title I teacher for 9th-grade math at Cristo Rey Jesuit High School in midtown Minneapolis in 2017-18.

Other: I occasionally tutor math and statistics at the high school, college, and graduate levels through Advantage Testing of Minneapolis, since 2016.