Curriculum Vitae for Chris Eppolito

Chris Eppolito

Email
eppolito (dot) math [at] gmail (dot) com
Website
https://eppo-math.codeberg.page/

Education

PhD Mathematics

PhD Mathematics From Binghamton University. Awarded July 2022.

Advised by Laura Anderson and Thomas Zaslavsky.

MS Mathematics

MS Mathematics From Binghamton University. Awarded May 2016.

BA Mathematics and Philosophy

BA Mathematics and Philosophy From Canisius College. Awarded May 2014.

Publications, Preprints, and Projects

  1. Chris Eppolito. "Pythagorean Hyperplane Arrangements: Combinatorics of Gain Genericity". arXiv:2308.09860. Submitted.
  2. Chris Eppolito. "On Modules over the Hyperfield of Signs". Submitted.
  3. Chris Eppolito. "Matroids: Mystic Monoliths, Meta Missiles, and Myopic Meadows". PhD Dissertation. Advised by Laura Anderson and Thomas Zaslavsky. July 2022.
  4. Chris Eppolito and Jaiung Jun. "On Infinite Matroids with Strong Maps: Proto-exactness and Finiteness Conditions". Theory Appl. Categ. 38.11 (2022), 319–327.
  5. Chris Eppolito, Jaiung Jun, and Matt Szczesny. "Hopf algebras for matroids over hyperfields". J. Algebra 556 (2020), 806–835.
  6. Chris Eppolito, Jaiung Jun, and Matt Szczesny. "Proto-exact categories of matroids, Hall algebras, and K-theory". Math. Z. 296.1-2 (2020), 147–167.

Invited Talks

Pythagorean Line Arrangements

Mathematics Seminar at Florida Gulf Coast University in February 2024.

Pythagorean Line Arrangements

Mathematics Seminar at Marshall University in February 2024.

Pythagorean Line Arrangements

Math and CS Chat at Hampden-Sydney College in February 2024.

Lines and the Pythagorean Theorem

Math and Cookies at SUNY New Paltz in October 2023.

Pythagorean Line Arrangements

Math and CS Chat at Dickinson College in March 2022.

Hyperfields and Fuzzy Algebra

Math and Cookies at SUNY New Paltz in November 2021.

Save the Trees! A game on graphs

Math and Cookies at SUNY New Paltz in October 2019.

Obstructions to Vector Elimination in Matroids Over Hyperfields

AMS Fall Eastern Sectional Meeting: Oriented Matroids and Related Topics at Binghamton University in October 2019.

Hopf Algebras of Matroids

Algebra Seminar at University of Iowa in April 2019.

The Paradox Otherwise Known as Thompson's Group

Undergraduate Algebra Seminar at Binghamton University in February 2019.

Contributed Talks

Pythagoras of Samos and the Arrangement of Lines

Math Club at The University of the South in September 2023.

My Research in Four Minutes

Faculty Flash Presentation at The University of the South in April 2023.

Pre-Coffee Arithmetic

Math Club at The University of the South in February 2023.

Save the Trees! A game on graphs

Math Club at The University of the South in November 2022.

Mutations of Mystic Monoliths (or The Importance of Being Linear)

Combinatorics Seminar at Binghamton University in July 2022.

Note
PhD Dissertation Defense

A Sequence of Unseemly Examples: The Hopeless Hyperfields

Graduate Student Seminar at Binghamton University in April 2021.

Homology for Combinatorial Graphs and Matroids

Graduate Student Seminar at Binghamton University in December 2020.

Extension Spaces of Strongly Euclidean Oriented Matroids

Combinatorics Seminar at Binghamton University in March 2020.

The Category of Matroids is Proto-Exact

Graduate Student Seminar at Binghamton University in September 2019.

Hopf Algebras of Matroids

Graduate Student Seminar at Binghamton University in April 2019.

Elementary Properties of the Chameleon Group

Graduate Student Seminar at Binghamton University in January 2019.

Combinatorics Cadets Contribute Combinatorics Content

Combinatorics Seminar at Binghamton University in December 2018.

Note
Co-talk with Olakunle Abawonse, Yinsong Chen, Amelia Cyr, and Nicholas Lacasse

A Selective Summary from the September CIRM meeting "Combinatorial Geometries"

Combinatorics Seminar at Binghamton University in November 2018.

Note
Co-talk with Laura Anderson

Geometry of Matroids

Graduate Student Seminar at Binghamton University in September 2018.

Save the Trees! A game on graphs

Graduate Student Seminar at Binghamton University in February 2018.

Topoi

Graduate Student Seminar at Binghamton University in September 2017.

Matroid Realizability and Tutte Groups

Combinatorics Seminar at Binghamton University in April 2017.

Note
Admission to Candidacy in two parts

Matroids and the Realizability Question

Graduate Student Seminar at Binghamton University in February 2017.

Introduction to Hyperfields

Graduate Student Seminar at Binghamton University in November 2016.

Pointed Matroids, Strong Maps, and Categorical Constructions

Graduate Student Seminar at Binghamton University in April 2016.

Matroids: A Graph Theoretic Introduction

Graduate Student Seminar at Binghamton University in December 2015.

On Metric Spaces Induced by Graphs

Mathematics Student Seminar at Canisius College in April 2013.

Note
Undergraduate Honors Thesis Defense

Graphs as Metric Spaces

MAA Seaway Section Meeting at SUNY Fredonia in April 2013.

Euler's Summation Formula

Canisius College Research Days at Canisius College in April 2012.

Selected Conferences

AMS Fall Eastern Sectional Meeting

AMS Fall Eastern Sectional Meeting At University at Buffalo (SUNY) (Buffalo, New York), September 2023.

Discrete and Computational Geometry Day

Discrete and Computational Geometry Day At New York University (New York, New York), April 2022.

Binghamton University Graduate Conference in Algebra and Topology

Binghamton University Graduate Conference in Algebra and Topology At Binghamton University (Binghamton, New York), November 2021.

(Polytop)ics: Recent advances on polytopes

(Polytop)ics: Recent advances on polytopes At Max Planck Institute for Mathematics in the Sciences (Leipzig, Germany), April 2021.

Binghamton University Graduate Conference in Algebra and Topology

Binghamton University Graduate Conference in Algebra and Topology At Binghamton University (Binghamton, New York), November 2020.

Higher Segal Spaces and their Applications to Algebraic K-Theory, Hall Algebras, and Combinatorics

Higher Segal Spaces and their Applications to Algebraic K-Theory, Hall Algebras, and Combinatorics At Banff International Research Station for Mathematical Innovation and Discovery (Oaxaca, Mexico), June 2020.

Note
Postponed due to COVID-19

Binghamton University Graduate Conference in Algebra and Topology

Binghamton University Graduate Conference in Algebra and Topology At Binghamton University (Binghamton, New York), November 2019.

AMS Fall Eastern Sectional Meeting

AMS Fall Eastern Sectional Meeting At Binghamton University (Binghamton, New York), October 2019.

Algorithms and Complexity in Discrete Structures

Algorithms and Complexity in Discrete Structures At Institute for Basic Science (Daejeon, South Korea), July 2019.

Zassenhaus Groups and Friends Conference

Zassenhaus Groups and Friends Conference At Binghamton University (Binghamton, New York), May 2019.

Upstate New York Topology Seminar

Upstate New York Topology Seminar At University at Albany (Albany, New York), November 2018.

Binghamton University Graduate Conference in Algebra and Topology

Binghamton University Graduate Conference in Algebra and Topology At Binghamton University (Binghamton, New York), October 2018.

Combinatorial Geometries 2018: Matroids, oriented matroids and applications

Combinatorial Geometries 2018: Matroids, oriented matroids and applications At Centre International De Recontres Math'ematiques (Luminy, France), September 2018.

Discrete Math Day

Discrete Math Day At Queens College (New York City, New York), October 2017.

Binghamton University Graduate Conference in Algebra and Topology

Binghamton University Graduate Conference in Algebra and Topology At Binghamton University (Binghamton, New York), October 2017.

AMS Fall Eastern Sectional Meeting

AMS Fall Eastern Sectional Meeting At University at Buffalo (SUNY) (Buffalo, New York), September 2017.

Introductory Workshop in Topological Combinatorics

Introductory Workshop in Topological Combinatorics At Mathematical Sciences Research Institute (Berkeley, California), August 2017.

Discrete Math Day

Discrete Math Day At Dartmouth College (Hanover, New Hampshire), May 2017.

Binghamton University Graduate Conference in Algebra and Topology

Binghamton University Graduate Conference in Algebra and Topology At Binghamton University (Binghamton, New York), October 2016.

Cornell Topology Festival

Cornell Topology Festival At Cornell University (Ithaca, New York), May 2016.

Discrete Math Day

Discrete Math Day At Smith College (Northampton, Massachusetts), April 2016.

Binghamton University Graduate Conference in Algebra and Topology

Binghamton University Graduate Conference in Algebra and Topology At Binghamton University (Binghamton, New York), November 2015.

Binghamton University Graduate Conference in Algebra and Topology

Binghamton University Graduate Conference in Algebra and Topology At Binghamton University (Binghamton, New York), October 2014.

MAA Seaway Section

MAA Seaway Section At SUNY Buffalo State (Buffalo, New York), April 2013.

Synergistic Activities

Graduate Carreer Panel

Graduate Carreer Panel At Binghamton University.

Panelist
October 2023

The Inclusive STEM Teaching Project

The Inclusive STEM Teaching Project At The University of the South.

Learner and Contributor
Fall 2023

Sewanee Math Club

Sewanee Math Club At The University of the South.

Organizer and Faculty Mentor
Fall 2022 to Present

AMS Sectional Meetings

AMS Sectional Meetings At The University of the South.

Co-organizer of Special Session: Building bridges between F1-geometry, combinatorics, and representation theory
September 2023

Binghamton University Graduate Combinatorics, Algebra, and Topology Conference

Binghamton University Graduate Combinatorics, Algebra, and Topology Conference At Binghamton University.

Organizer
2015 to 2018
Advisory Board
2019 to 2021
Moderator
2014 to 2019

MAA Seaway Section Panel Discussion: Graduate School Advice

MAA Seaway Section Panel Discussion: Graduate School Advice At Binghamton University.

Panelist
September 2020
Note
Zoom meeting

Graduate Student Seminar

Graduate Student Seminar At Binghamton University.

Organizer
2017 to 2019

Graduate Student Organization (Mathematics Suborganization)

Graduate Student Organization (Mathematics Suborganization) At Binghamton University.

Treasurer
2017 to 2018
Alternate Senator
2018 to 2020

Calculus Placement Exam

Calculus Placement Exam At Binghamton University.

Organizer
Spring 2018 to Fall 2019
Proctor
2015 to 2020

Mentoring

Symposium Talk on Knot Theory

Symposium Talk on Knot Theory Weekly meetings to prepare a talk talk for the Rhodes-Hendrix-Sewanee Computer Science and Mathematics Symposium. The topic of the talk was an introduction to knot theory with a proof that the trefoil knot is nontrivial via tricoloring.

Spring 2024 at The University of the South.

Symposium Talk on the Three Utilities Problem

Symposium Talk on the Three Utilities Problem Weekly meetings to prepare a talk talk for the Rhodes-Hendrix-Sewanee Computer Science and Mathematics Symposium. The topic of the talk was an introduction to graph theory with a solution to the Three Utilities Problem.

Spring 2024 at The University of the South.

Symposium Talk on Collision Systems in Video Games

Symposium Talk on Collision Systems in Video Games Weekly meetings to prepare a talk talk for the Rhodes-Hendrix-Sewanee Computer Science and Mathematics Symposium. The topic of the talk was an introduction to video game collision systems and an in-depth discussion of the collision system used in the game The Witness.

Spring 2024 at The University of the South.

Senior Talk on Rubick's Groups

Senior Talk on Rubick's Groups Twice weekly meetings to prepare a senior talk. The topic of the talk was Rubick's cube, its generalizations, and the group theory behind it.

Fall 2023 at The University of the South.

Summer Research in Graph Theory

Summer Research in Graph Theory Daily meetings to do undergraduate research in Graph Theory. The student found enumeration problems related to graphs interesting.

Summer 2023 at The University of the South.

Symposium Talk on Designing and Implementing Games on Graphs

Symposium Talk on Designing and Implementing Games on Graphs Bi-weekly meetings to prepare a talk for the Sewanee-Rhodes-Hendrix Symposium. The work is based on a game on graphs I invented for a Math Club talk.

Spring 2023 at The University of the South.

Game on Graphs

Game on Graphs Occasional meetings to discuss a game on graphs I invented for a Math Club talk.

Spring 2023 at The University of the South.

Senior Talk on Information Theory

Senior Talk on Information Theory Weekly meetings to prepare a senior talk. The final talk was about the theory and applications of Huffman encoding.

Fall 2022 to Spring 2023 at The University of the South.

Guided Self-Study on Parsers

Guided Self-Study on Parsers Occasional meetings on Haskell programming and monadic parsing. Exercises assigned over a git repository.

Fall 2022 at The University of the South.

Guided Study in Group Theory

Guided Study in Group Theory Weekly meetings with an interested student discussing basic group theory.

Fall 2021 to Spring 2022 at Binghamton University.

Group Theory Talk

Group Theory Talk Weekly meetings discussing a paper on group identities, as well as how to prepare and deliver seminar talks. This culminated in my mentee giving a presentation to the Undergraduate Algebra Seminar.

Spring 2019 at Binghamton University.

Courses Taught

Abstract Algebra II: Rings and Fields

Abstract Algebra II: Rings and Fields

  • Spring 2024 at The University of the South.

Calculus I

Calculus I

  • Spring 2024 at The University of the South.

Abstract Algebra I: Group Theory

Abstract Algebra I: Group Theory

  • Fall 2023 at The University of the South.

Logic: the Mathematics of Puzzles and Games

Logic: the Mathematics of Puzzles and Games

  • Fall 2023 at The University of the South (original course for general mathematics education).

History of Mathematics

History of Mathematics

  • Spring 2023 at The University of the South.

Logic: the Mathematics of Puzzles and Games

Logic: the Mathematics of Puzzles and Games

  • Spring 2023 at The University of the South (original course for general mathematics education).

Discrete Mathematics

Discrete Mathematics

  • Fall 2022 at The University of the South.
  • Discrete Mathematical Structures and proofs for mathematics and computer science students

Calculus II

Calculus II

  • Fall 2022 at The University of the South.

Discrete Mathematics

Discrete Mathematics

  • Spring 2022 at Binghamton University.

Calculus III

Calculus III

  • Spring 2022 at Binghamton University.

Calculus III

Calculus III

  • Fall 2021 at Binghamton University.

Discrete Mathematics

Discrete Mathematics

  • Spring 2021 at Binghamton University (online course).

Linear Algebra

Linear Algebra

  • Spring 2021 at Binghamton University (online course).

Calculus III

Calculus III

  • Fall 2020 at Binghamton University (online course).

Pre-Calculus

Pre-Calculus

  • Summer 2020 at Binghamton University (online course for EOP).

Discrete Mathematics

Discrete Mathematics

  • Spring 2020 at Binghamton University (online course).

Calculus III

Calculus III

  • Fall 2019 at Binghamton University.

ODEs for Scientists and Engineers

ODEs for Scientists and Engineers

  • Summer 2019 at Binghamton University.

Discrete Mathematics

Discrete Mathematics

  • Spring 2019 at Binghamton University.

Calculus II

Calculus II

  • Fall 2018 at Binghamton University.

Business Calculus

Business Calculus

  • Summer 2018 at Binghamton University.

Pre-Calculus

Pre-Calculus

  • Summer 2018 at Binghamton University (for EOP).

Discrete Mathematics

Discrete Mathematics

  • Spring 2018 at Binghamton University.

Pre-Calculus

Pre-Calculus

  • Summer 2017 at Binghamton University (for EOP).

Calculus II

Calculus II

  • Spring 2017 at Binghamton University.

Calculus II

Calculus II

  • Fall 2016 at Binghamton University.

Pre-Calculus

Pre-Calculus

  • Summer 2016 at Binghamton University (for EOP).

Calculus I

Calculus I

  • Spring 2016 at Binghamton University.

Calculus I

Calculus I

  • Fall 2015 at Binghamton University.

Positions Held

Visiting Assistant Professor in Mathematics

Visiting Assistant Professor in Mathematics (The University of the South)

  • Department of Mathematics and Computer Science
  • Fall 2022 to Spring 2024

Mathematics Instructor

Mathematics Instructor (Binghamton University)

  • Department of Mathematical Sciences
  • Fall 2015 to Spring 2022

Mathematics Instructor

Mathematics Instructor (Binghamton University)

  • Binghamton Enrichment Program
  • Summer 2016, Summer 2017, Summer 2018, and Summer 2020

Mathematics Tutor

Mathematics Tutor (Binghamton University)

  • Educational Opportunities Program
  • Summer 2016

Graduate Teaching Assistant

Graduate Teaching Assistant (Binghamton University)

  • Department of Mathematical Sciences
  • Fall 2014 to Spring 2015

Mathematics Tutor

Mathematics Tutor (Canisius College)

  • Student Academic Support Services
  • Fall 2011 to Spring 2014

Mathematics Grader

Mathematics Grader (Canisius College)

  • Department of Mathematics and Statistics
  • Fall 2011 to Spring 2014

Additional Skills

Maths Software

Maths Software I have used a strong working knowledge of a variety of mathematics software in both research and teaching contexts. These include GeoGebra, Sage, Polymake, and GAP, among others.

Programs

Programs I have experience writing programs and scripts in a variety of programming languages. These include Haskell, Clojure (and other Lisps), Scala, Python, Rust, and Gleam.

TikZ

TikZ LaTeX is invaluable for typesetting. I am adept at the use of TikZ for creating figures in these documents.

References

Associate Professor

Laura Anderson

Title
Associate Professor
Institution
Binghamton University
Relation
PhD Co-advisor

Gastin Swindell Burton Professor of Mathematics and Computer Science

Catherine Cavagnaro

Title
Gastin Swindell Burton Professor of Mathematics and Computer Science
Institution
The University of the South
Relation
Department Chair

Assistant Professor

Jaiung Jun

Title
Assistant Professor
Institution
SUNY at New Paltz
Relation
Research Collaborator

Adjunct Lecturer

Daniel McKinney

Title
Adjunct Lecturer
Institution
Binghamton University
Relation
Supervising Mathematics Instructor for the Binghamton Enrichment Program

Professor of Mathematics

Maciej Matt Szczesny

Title
Professor of Mathematics
Institution
Boston University
Relation
Research collaborator

Professor

Thomas Zaslavsky

Title
Professor
Institution
Binghamton University
Relation
PhD Co-advisor