Peninsula State Park, WI, 2016

I am originally from River Forest, IL, which is a close suburb of Chicago. After high school, I went to St. Olaf College in Northfield, MN. In 2016, I graduated with a Bachelor of Arts in Mathematics and Physics.

Pontresina, Switzerland, 2013

Current Teaching

Information about the current semester. I am not teaching during Fall 2019.

Experience

Teaching Assistant

University of Iowa

Calculus for the Biological Sciences

Fall 2018

Calculus II

Summer 2018

Introduction to Abstract Algebra

Spring 2018

Calculus and Matrix Algebra for Business

Fall 2017

Engineering Math II

Spring 2017

Calculus and Matrix Algebra for Business

Fall 2019

St. Olaf College

Calculus with Review

Fall 2014

Teaching Practicum Experience, University of Iowa

Introduction to Linear Algebra

Fall 2019

Engineering Math III: Matrix Algebra

Summer 2019

Tutoring

Math Tutorial Lab, University of Iowa

2016-present

Private Tutoring

2016

Math Clinic, St. Olaf College

2014-2016

Awards and Certifications

Outstanding Teaching Assistant Award, Council on Teaching, University of Iowa, 2018-2019

Graduate Certificate in College Teaching, Pending

Files

To be updated.

My research interests are in algebra and representation theory. In particular, I am interested in representations of finite groups over fields of prime characteristic. Most recently, I have been looking at representations defined geometrically.

For a curve \(X\) over a field \(k\) with an action of a group \(G\), one can consider the sheaf of relative differentials of \(X\) over \(k\), denoted by \(\Omega_X\). Then, for \(m>1\), taking the global sections of \(\Omega_X^{\otimes m}\) yields the space of holomorphic polydifferentials. One can also consider a \(G\)-invariant divisor \(D\) on \(X\). Taking the global sections of the invertible sheaf \(\mathcal O_X(D)\) yields the so-called Riemann-Roch spaces. Both of these spaces are representations of \(G\). I am studying these representations for certain groups and for certain conditions on the curve \(X\).

Selected Publications and Presentations

"Representation Theory and Geometry via the Space of Holomorphic Polydifferentals"

Undergraduate research seminar, University of Iowa, May 2, 2019

Undergraduate research seminar, University of Iowa, May 2, 2019

"Representation Theory and Holomorphic Polydifferentials"

Research seminar, St. Olaf College, April 26, 2019

Research seminar, St. Olaf College, April 26, 2019

Jacob Forster, Kristina Garrett, Luke Jacobsen and Adam Wood. A bijective proof of a \(q\)-analogue of the sum of cubes using overpartitions. * Involve*, 10, no. 3:523-530, 2017.

Click here to see my CV.

Please see below for links to various resources and articles, as well as notes created by me.

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University of Iowa

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