Discussions
Office: UC Riverside, Skye Hall 281
Email: jcerv092 ucr edu
Education
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B.A. Mathematics
University of California, Berkeley
May 2020
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M.S. Mathematics
California State University, Los Angeles
May 2021
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(Ongoing) Ph.D. 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
Talk(s):
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How to put rainbow sprinkles on a donut (with M. Krebs)
University of Illinois, Chicago 2022
Teaching Experience
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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
Awards
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Chancellor's Dinstinguished Fellowship
University of California, Riverside Spring 2023, Spring 2024 -
Poster Award
MAA Southern California-Nevada Section Spring Meeting
Pomona College 2022 -
Outstanding Graduate Student Award
California State University, Los Angeles 2021
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 for the Nintendo Gamecube.