Ethan J. Alvarée

Current appointments

• 2018–present

  Director of Technology, Curriculum and Instruction

  High Bluff Academy, San Diego

  Joined as a math teacher in 2018, chaired the math department from 2020, and now lead technology, curriculum, and instruction while continuing to teach.

• 2026–present

  CEO & co-founder

  Pacific Crest Institute, San Diego

  Co-founded in April 2026. A school built around mentorship and craft, including an Art Institute where students work with professional artists and are credited by name in published books.

• 2026–present

  Founder, CEO, and author

  Contemplanda

  Founded in August 2026. Interactive courseware for mathematics and the sciences; author of its course catalogue, which grew out of the Promenade texts begun in 2013.

• Founder and author

  Theoremata (theorems.com, in the works)

  Categorical foundations of mathematics, in development since 2013.

Other employment

• 2023

  SpringBoard lesson writer, Math 2026 project

  The College Board (remote)

  Wrote lessons for the SpringBoard Math 2026 program until College Board discontinued it.

• 2019–present

  Instructor

  Art of Problem Solving Academy, San Diego

• 2019–2024

  Instructor

  IvyMax, San Diego

• 2018–2020

  Instructor

  Platt College, San Diego

• 2015–2017

  Teaching assistant

  UCSD Department of Economics, La Jolla

• 2013–2015

  Teaching assistant

  MSU Department of Mathematics, East Lansing

Education

• 2017

  M.S., Economics (specialization in statistical econometrics)

  University of California, San Diego

• 2015

  B.S., Mathematics and Economics

  Michigan State University

Publications

• in progress

  Theoremata: Categorical foundations of mathematics and ZFC

  Book in progress; the companion site is theorems.com.

• 2026–present

  Contemplanda course catalogue

  Author of Contemplanda's interactive courses in mathematics and the sciences. A Promenade in Calculus and A Promenade in Linear Algebra, begun as standalone texts, are published within the catalogue.

• 2018

  Integrated Math Promenades

  High Bluff Academy custom edition.

• 2018

  Stochastic tragedy of the commons: a Markov model (with Hyejin Kim)

  Journal of Statistics and Management Systems 21(1), 61–79.

Books copyedited

• 2018

  Copyeditor, Maximum Likelihood for Social Science: Strategies for Analysis

  By John S. Ahlquist (UC San Diego) and Michael D. Ward (Duke University).

Presentations

• 2016

  A comprehensive approach to revealed preference theory

  Department of Economics, UC San Diego

• 2014

  A geometric interpretation of the Frisch-Waugh-Lovell partitioned regression theorem

  MSU 11th Student Mathematics Conference

  Won best presentation.

Comics coloring credits

• forthcoming

  Colorist, Her Majesty Sally

• July 2026

  Colorist, The Shadow Files

• December 2025

  Colorist, Scott Shaw's Sonic Days

  Colored every page Scott Shaw drew.

• July 2025

  Colorist, Knuckles Omnibus Vol. 1

Honors and awards

• 2015–2017

  UC Regent's Fellowship

• 2015

  MSU Outstanding Economics Senior Award

• 2015

  MSU Department of Economics Edward and Eleanor Carlin Award

• 2014

  MSU Honors College Cole Excellence Award

• 2014

  MSU Department of Mathematics Herbert T. Graham Scholarship

• 2014

  MSU Student Mathematics Conference Best Presentation Award

• 2012–2013

  Michigan State University Koch Scholar

Technical skills

• TypeScript
• React & Next.js
• PostgreSQL
• Python
• R
• Java
• LaTeX & TikZ
• Stata

Research interests

Mathematical logic, set theory, category theory, universal algebra, computability, statistical econometrics and machine learning, mathematics education

Teaching

I have been teaching since 2013. At High Bluff Academy I have taught 136 sections across 22 courses since 2018, from Integrated Math through AP Calculus, AP Statistics, AP Computer Science, linear algebra, and group theory. The full verified record, term by term, is on the teaching page.