Tyler J Jarvis

Professor of Mathematics, Brigham Young University

Principal Investigator, Jarvis Computational Mathematics Lab

I am the Principal Investigator and director of the Jarvis Computational Mathematics Lab, where my research group develops rigorous mathematical and computational methods for problems in numerical algebraic geometry, redistricting analysis, physiological signal processing, and generalized aliasing in statistical modeling. My research has been funded by the National Science Foundation, the National Security Agency, and industry partners.

I am also Cofounder and Director of the BYU Applied and Computational Mathematics Emphasis (ACME), a degree focused on developing the mathematical and computational tools needed for modern applications of mathematics.

Jarvis Lab Curriculum Vitae BYU Math Faculty Directory ORCID LinkedIn

Research Group & Funding

I lead the Jarvis Computational Mathematics Lab in the BYU Department of Mathematics. The group currently includes eleven lab members and four faculty collaborators, working in four directions: numerical algebraic geometry (including the open-source Yroots rootfinding software), redistricting analysis, physiological signal processing, and generalized aliasing. See the lab page for group members and the full list of grants.

External Funding

Tula Health, “Noninvasive health sensing” (2021–2025)
National Science Foundation DMS-1564502, “Focused Research Group: Crossing the Walls in Enumerative Geometry” (2016–2020)
National Science Foundation DUE-1323785, “TUES: A New Curriculum in Applied and Computational Mathematics” (2013–2017)
National Science Foundation DMS-1148695, “Center for Mentoring Undergraduate Research in Mathematics” (2012–2017)
Earlier support from the National Science Foundation (including an NSF CAREER Award) and the National Security Agency, 1995–2012. See the CV for details.

Selected Recent Publications

M. K. Transtrum, G. L. W. Hart, T. J. Jarvis, and J. P. Whitehead, Generalized Aliasing Explains Double Descent and Informs Model Design. Physical Review Research 7, 043268 (2025).
E. Parkinson, K. Wall, J. Slagle, D. Treuhaft, X. de la Bruere, S. Goldrup, T. Keith, P. Call, and T. J. Jarvis, Chebyshev Subdivision and Reduction Methods for Solving Multivariable Systems of Equations. Journal of Symbolic Computation 128, 102392 (2025).
A. King, J. Murri, J. Callahan, A. Russell, and T. J. Jarvis, Mathematical Analysis of Redistricting in Utah. Statistics and Public Policy 9(1), 136–148 (2022).

Selected Recent Recognition

Niven Lecture, University of Oregon (2026)
Technology Transfer Award, Brigham Young University (2025)
AMS Award for an Exemplary Program or Achievement in a Mathematics Department, awarded to the ACME program I cofounded and direct (2024)

ACME Program & Textbooks

The BYU Applied and Computational Mathematics Emphasis (ACME) is a national-award-winning program designed to give students a rigorous education in the theory and practice of applied and computational mathematics, with a special focus on modern applications in information, machine learning, artificial intelligence, probabilitistic modeling, and optimal control.

The textbooks for the ACME program are published by the Society for Industrial and Applied Mathematics (SIAM).

Volume 1: Mathematical Analysis

"Well written", "Rich material", "Thoughtfully constructed", "Very valuable" - MathSciNet

Order from SIAM

Volume 2: Algorithms, Approximation, Optimization

"For anyone curious about the math underlying modern computational science, this book offers just about everything you'll need. It's clear, comprehensive, and charming." - Steven Strogatz, Cornell University

"I have been teaching from Humpherys and Jarvis's notes for this book since 2013, and I love it. This book should be a required reference for mathematicians, statisticians, economists, and data scientists." - Richard W. Evans, University of Chicago

Order from SIAM

Lab Materials

The labs for the ACME program are free and open source.

Additional Publications

Many of my publications are available at the arXiv preprint server.

Selected Papers Not on arXiv

T. Jarvis, Compactification of the Universal Picard over the Moduli of Stable Curves. Mathematische Zeitschrift 235, 123-149 (2000).
T. Jarvis and J. Tanton, The Hairy Ball Theorem via Sperner's Lemma. American Mathematical Monthly, 111, no. 7, 599-603 (2004).
T. Jarvis, Class Size and Teacher Effects on Student Achievement and Dropout Rates in University-Level Calculus. Preprint.

Nontechnical Presentations and Writings

Struggle and Success - Struggle is not weakness; it is how we grow.
That's How the Light Gets In (BYU Devotional, July 9, 2013)
Video | Audio (MP3) | Text (PDF)
Advice for New Faculty (MAA MathFest presentation)

Resources for Students

Here are some resources I've created to help students succeed in mathematics.

Contact

Tyler J. Jarvis, Professor of Mathematics
Principal Investigator, Jarvis Computational Mathematics Lab
Department of Mathematics
Brigham Young University
Provo, UT 84602 USA
+1 801-422-2061
jarvis@mathematics.byu.edu
BYU Faculty Directory profile