Nico Courts
University of Washington
Department of Mathematics
Box 354350
Seattle, WA 98195-4350

Objective

To pursue my passion for mathematics and to understand how to better the world through its proliferation and application.

Research
Interests

I am a student of Julia Pevtsova studying the representation theory of quantum groups, leveraging insights from classical commutative algebra. I am also interested in computational approaches to algebra and using these techniques to understand the homological data associated to an algebra.

Education
History

Ph.D in Mathematics University of Washington, Seattle

Spring 2022 (expected)

See this page for a list of my graduate coursework.


Masters of Science in Mathematics University of Washington, Seattle

Exam Topic: Schur Duality and Strict Polynomial Functors (view paper)

Winter 2020


Budapest Semesters in Mathematics Budapest, Hungary

Algebraic Topology, Conjecture & Proof, Cryptography, Differential Geometry.

Autumn 2015


Bachelors of Science in Mathematics University of Southern California

Magna Cum Laude, Dean's list, Departmental Honors

Autumn 2015


Associates of Science in Mathematics Citrus College

Key of Knowledge, Dean's List, Honors Program

Spring 2013

Internships

Pacific Northwest National Lab
PhD Intern (Data Science & Analytics)—National Security Internship Program
June 2020 - Present

Publications

Fuzzy Simplicial Networks: A Topology-Inspired Model to Improve Task Generalization in Few-shot Learning. (2020).
Kvinge, H., New, Z., Courts, N., Lee, J.H., Phillips, L.A., Corley, C., Tuor, A., Avila, A., & Hodas, N.O.
arXiv:2009.11253 (to appear in the Proceedings of Machine Learning Research)

Teaching
History

Graduate Teaching Assistant

University of Washington, Seattle, WA

Autumn 2016 - Present

  • As an instructor: Developed and delivered instruction and evaluation to undergraduate students in math.
    • Math 124: Calculus I (Summer 2018)
    • Math 308: Matrix Algebra (Spring 2019)

  • As a TA: Participated in several aspects of instruction including demonstration of problem-solving techniques, student evaluation, and the administrative process.
    • Math 112 (Sp 20)
    • Math 120 (Au 17)
    • Math 124 (Wi 17, Wi 19, Sp 21)
    • Math 125 (Au 16, Sp 17, Wi 21)
    • Math 126 (Su 17, Wi 18, Sp 18, Au 20)
    • Math 327 (Su 19)
    • Math 381 (Au 18)
    • Math 403 (Wi 20)

Lead Teaching Assistant

SCS Noonan Scholars (previously South Central Scholars), Los Angeles, CA

Summer 2016


Various Mentorship Positions

Citrus College, Glendora, CA

Spring 2012 - Summer 2013

Leadership &
Service

Graduate Student Representative

UW Math Department

2019-2020 Academic Year

  • Planned and organized a variety of events and lectures for the graduate students as well as the department at large.
  • Served as an advocate for the graduate students in several capacities.

Organizer and Mentor

Washington Directed Reading Program

Autumn 2019 - Spring 2021

  • Was part of a small group of graduate students responsible for running the WDRP. This program paired undergraduate students with graduate students with the goal of increasing diversity in mathematics and mentoring the next generation of mathematicians.

Talks Given

Special Colloquium Series for Mathematical Sciences

Schur Algebras & Duality (slides)

November 20, 2020

Georgia Southern University (online)

Conferences &
Workshops
Attended

Conference on Lie and Jordan Algebras, Their Representations and Applications

January 6-11, 2020

Sichuan University, Chengdu, P. R. China


The Mathematics of Machine Learning

MSRI

July 29 - August 9, 2019

University of Washington, Seattle

(my notes)


Triangulated Categories in Geometry and Representation Theory

June 24-28, 2019

University of Sydney, NSW, Australia

(my notes)


ABC Algebra Workshop

November 10-11, 2018

University of Washington, Seattle

Skills &
Hobbies

Languages known:
  • English This is my native language.
  • German Ich kann ziemlich gut Deutsch sprechen, lesen, und verstehen! (proficient)
  • Russian Я немного понимаю по-русски. (beginner)
  • Programming Go, Haskell, Java, LaTeX, Python, Typescript.

Computer Skills: Web/Application Development, Server Administration, Sage, Mathematica, Windows, Linux, FreeBSD.


Life Skills: Critical Thinking, Abstract Reasoning, Communication, Objectivity, Empathy.


Hobbies: Hiking, Jogging, Sailing, Rollerskating, Appreciating the Wonders of the PNW.