Intro

Currently, I am a junior mathematics major at Reed College. In May 2019 I graduated with highest honors from Frenship High School, as an AP Scholar also having earned 30 hours from ASU. By the end of my sophomore year of Reed College, I have earned the Commendation for Excellence in Scholarship by the Administration Committee of Reed College twice. In summer 2020 I was a participant of the altREU at PSU under PI Christof Teuscher , working with Bhavana Panchumarthi under Art Duval of UTEP on the Abelian Sandpile Model.

In the summer of 2021, I participated in the REU at the University of Michigan under Jennifer Kenkel , Janet Page , and Daniel Smolkin . We explored the asymptotic behavior of differential powers of ideals, specifically relating simple D-modules to the differential closure of ideals. Currently, you can find our REU paper here , and our pre-print is here .

Research

In the summer of 2021, I participated in an REU at the University of Michigan, where I worked under Jennifer Kenkel , Janet Page , and Daniel Smolkin funded by Karen Smith’s NSF grant DMS-1801697. We studied the differential power operation on ideals. We began with a focus on monomial ideals in characteristic 0 and found a class of ideals whose differential powers are eventually principal. We also studied the containment problem between ordinary and differential powers of ideals, in analogy to earlier work comparing ordinary and symbolic powers of ideals. We further defined a possible closure operation on ideals, called the differential closure, in analogy with integral closure and tight closure. We showed that this closure operation agrees with taking the radical of an ideal if and only if the ambient ring is a simple D-module. Our pre-print is here .

In the summer of 2020, I participated in an REU at PSU by PI Christof Teuscher . The REU is called an altREU because Christof created it considering the COVID-19 Pandemic, and Christof recognized that many would lose the opportunity to research during the summer, with his own NSF REU site having been cancelled. I had been working with Art Duval of UTEP on the Abelian Sandpile Model applied to DDoS mitigation. Our final writeup can be found here .

In the summer of 2019, I worked under Andrew Whitbeck within the Experimental High-Energy Particle department at TTU, working towards developing the LDMX project. Lab work included SketchUp design, data collection from oscilloscopes, scintillators, and PMTs, data science with Python, and electrical circuit design and modification. My final writeup can be found here.

Courses

In the Fall of 2021, I am taking Math 341: Fourier Analysis on Polytopes with Jamie Pommersheim, Math 412: Galois theory with David Krumm, Math 321: Real Analysis with Luda Korobenko, and Anthropology 320: Social Movements in South Asia with Anand Vaidya.

In the Spring of 2022, I will take Math 442: Algebraic Topology with Angélica Osorno, Math 382: Algorithms and Data Structures with Jim Fix, Independent Study on the Combinatorics of Coxeter Groups, Creative Writing 207: Personal Essay with Pete Rock, and Economics 201: Introduction to Economic Analysis with Noelwah Netusil.

In my freshman year, I took Physics 101, 102 (General Physics I and II), Math 112, 201 (Introduction to Analysis and Linear Algebra), Philosophy 201 (Logic), and Humanities 110 (Introduction to the Humanities). I took the last two Credit/No Credit because of the COVID-19 Pandemic.

In my sophomore year, I took Physics 201(Oscillations and Waves), Math 113, 202, 311, 332, 342, 372 (Discrete Structures, Vector Calculus, Complex Analysis, Abstract Algebra, Topology and Categories, and Algebraic Combinatorics respectively), and Philosophy 202 (Introduction to Metaphysics).

In Fall 2020, I also participated in the remote BSM program for non-credit, where I took Math 310: Real Functions and Measures.

In Fall 2020, I worked as a grader for Math 111. In Spring 2021, I worked as a course assistant for Math 113 as well as a drop-in tutor. In Fall 2021, I worked as a grader for Math 111 and Math 202, as well as being a drop-in tutor. I currently tutor for Physics 101,102, and Math 112, 113, 201, 202, 311, 332, and 342.

Contact

Email: mostephen@reed.edu

Phone: +1(806)-778-9403

Address: 3203 SE Woodstock Blvd MS 1085, Portland, OR 97202

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