Jonathan Cervantes

Office: ‍ Skye Hall 281
Email: ‍ jcerv092@ucr.edu

Education

• BA Mathematics
  University of California, Berkeley
  May 2020
  
  
• MS Mathematics
  California State University, Los Angeles
  May 2021
  
  
• (Ongoing) PhD Mathematics
  University of California, Riverside
  Projected June 2027

Professional Experience

Publication(s):

• Chromatic numbers of Cayley graphs of abelian groups: A matrix method
J. Cervantes, M. Krebs
Linear Algebra and its Applications 676, 277-295, 2023

Preprints:

• Chromatic numbers of Cayley graphs of abelian groups: Cases of small dimension and rank (with M. Krebs)
• A generalization of Zhu's theorem on six-valent integer distance graphs (with M. Krebs)

Mentoring Undergraduate Research:

• Classification of three-dimensional flow polytopes associated with acyclic quivers, as well as the geometric transformations induced by varying their weights
  with Professor Patricio Gallardo Candela, UCR, Spring 2024

Talk(s):

• How to put rainbow sprinkles on a donut (with M. Krebs)
  University of Illinois, Chicago, 2022

Teaching Experience

• Introduction to Discrete Structures
  Teaching Assistant
  with Professor Javier Gonzalez Anaya, UCR, Winter 2023
  
  
• Pre-calculus
  Teaching Assistant
  with Professor Sara Lapan, UCR, Fall 2023
  
  
• First Year Calculus
  Teaching Assistant
  with Professor Fen Xu, UCR, Fall 2022
  with Professor Pallav Goyal, UCR, Winter 2024
  
  
• Abstract Algebra
  Teaching Assistant
  with Professor Courtney George, UCR, Winter 2024

Conferences Attended

• ISM Discovery School
  Université du Québec à Montréal
  May 2024
  
  
• Western Algebraic Geometry Symposium
  University of California, Davis
  April 2024
  
  
• Southern California Algebraic Geometry Seminar
  California Institute of Technology
  April 2024
  
  
• MAA Southern California-Nevada Section Spring Meeting
  Pomona College
  April 2022
  
  

About Me

I am interested in graph theory for the naïve reasons that it lends itself to beautiful pictures and problems that can be posed to a general audience. Beyond academia, I'm an amateur musician and gamer. I have a particular fondness for Super Smash Bros Melee.