Curriculum Vitae for Chris Eppolito
Chris Eppolito
- 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
- Chris Eppolito. "Pythagorean Hyperplane Arrangements: Combinatorics of Gain Genericity". arXiv:2308.09860. Submitted.
- Chris Eppolito. "On Modules over the Hyperfield of Signs". Submitted.
- Chris Eppolito. "Matroids: Mystic Monoliths, Meta Missiles, and Myopic Meadows". PhD Dissertation. Advised by Laura Anderson and Thomas Zaslavsky. July 2022.
- Chris Eppolito and Jaiung Jun. "On Infinite Matroids with Strong Maps: Proto-exactness and Finiteness Conditions". Theory Appl. Categ. 38.11 (2022), 319–327.
- Chris Eppolito, Jaiung Jun, and Matt Szczesny. "Hopf algebras for matroids over hyperfields". J. Algebra 556 (2020), 806–835.
- 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
- Title
- Associate Professor
- Institution
- Binghamton University
- Relation
- PhD Co-advisor
Gastin Swindell Burton Professor of Mathematics and Computer Science
- Title
- Gastin Swindell Burton Professor of Mathematics and Computer Science
- Institution
- The University of the South
- Relation
- Department Chair
Assistant Professor
- Title
- Assistant Professor
- Institution
- SUNY at New Paltz
- Relation
- Research Collaborator
Adjunct Lecturer
- Title
- Adjunct Lecturer
- Institution
- Binghamton University
- Relation
- Supervising Mathematics Instructor for the Binghamton Enrichment Program
Professor of Mathematics
- Title
- Professor of Mathematics
- Institution
- Boston University
- Relation
- Research collaborator
Professor
- Title
- Professor
- Institution
- Binghamton University
- Relation
- PhD Co-advisor