Meet Dr. Dana Paquin

Professional headshot of Dr. Paquin, founder and director of the Paquin Institute of Mathematics.

Dr. Dana Paquin is the founder and lead instructor of the Paquin Institute of Mathematics (PiMath). She earned her Ph.D. in Mathematics from Stanford University in 2007 and is a Professor of Mathematics at California Polytechnic State University, San Luis Obispo. She currently serves as Senior Mathematics Instructor and Director of Mathematics Curriculum at Stanford University Online High School, where she designs curriculum and teaches proof-based courses and research seminars for highly talented students from around the world.

Dr. Paquin’s academic work spans both pure and applied mathematics, including geometric number theory, combinatorics, graph theory, mathematical biology, and mathematical finance. She has authored numerous peer-reviewed publications and has supervised over one hundred undergraduate and graduate research projects. A defining feature of her work is close collaboration with students, many of whom have gone on to publish research, present at conferences, and pursue advanced study in mathematics and related fields.

In addition to her university teaching, Dr. Paquin has extensive experience in mathematics enrichment and outreach for advanced secondary students. She is a former Director of the Stanford Math Circle and has served as an instructor with Art of Problem Solving, teaching advanced problem-solving and proof-based courses. She has also developed and taught summer mathematics programs at Stanford University, including courses and enrichment offerings through SUMaC, EPGY, and Stanford Pre-Collegiate Studies, with a particular focus on number theory, mathematical reasoning, and Olympiad-style problem solving.

Through PiMath, Dr. Paquin brings together the best elements of math circles, advanced problem-solving seminars, and research mentorship in a supportive and intellectually vibrant environment. Her teaching emphasizes proof, discovery, and mathematical communication, with the goal of helping students develop confidence, depth of understanding, and a lasting love for mathematics.

Dedicated to Mathematical Excellence

 

Dana Paquin, Founder & Lead Instructor

Education

  • Ph.D. in Mathematics, Stanford University (2007)

  • B.S. in Mathematics, Davidson College (2002)

Academic Appointments

  • Senior Mathematics Instructor & Director of Mathematics Curriculum, Stanford University Online High School

  • Professor of Mathematics, California Polytechnic State University, San Luis Obispo

  • Visiting Professor of Mathematics, UCLA

Teaching & Enrichment

  • Former Director, Stanford Math Circle

  • Instructor, Art of Problem Solving (AoPS)

  • Instructor & Program Developer, Stanford University Summer Mathematics Programs

    • SUMaC (Stanford University Mathematics Camp)

    • EPGY (Education Program for Gifted Youth)

    • Stanford Pre-Collegiate Studies (SPCS)

    • Stanford Summer Bridge Program in Mathematics

Research & Mentorship

  • Over 100 supervised undergraduate and graduate research projects

  • Multiple peer-reviewed publications with student co-authors

  • Research areas: geometric number theory, combinatorics, graph theory, mathematical biology, mathematical finance

Education

  • Ph.D. in Mathematics, Stanford University (2007)

  • B.S. in Mathematics, Davidson College (2002)

Academic Appointments

  • Senior Mathematics Instructor & Director of Mathematics Curriculum, Stanford University Online High School

  • Professor of Mathematics, California Polytechnic State University, San Luis Obispo

  • Visiting Professor of Mathematics, UCLA

Teaching & Enrichment

  • Former Director, Stanford Math Circle

  • Instructor, Art of Problem Solving (AoPS)

  • Instructor & Program Developer, Stanford University Summer Mathematics Programs

    • SUMaC (Stanford University Mathematics Camp)

    • EPGY (Education Program for Gifted Youth)

    • Stanford Pre-Collegiate Studies (SPCS)

    • Stanford Summer Bridge Program in Mathematics

Research & Mentorship

  • Over 100 supervised undergraduate and graduate research projects

  • Multiple peer-reviewed publications with student co-authors

  • Research areas: geometric number theory, combinatorics, graph theory, mathematical biology, mathematical finance

Selected Publications with Students

  1. Dana Paquin and J. Schennach, Minkowski’s Theorem on Archimedean Lattices, published in the American Mathematical Monthly, Volume 133, Issue 6, June 2026. This is published work with a PiMath student.

  2. Dana Paquin and D. Singh, D. Singh, Modeling Free Tumor Growth: Discrete, Continuum, and Hybrid Approaches to Interpreting Cancer Development, published in Mathematical Biosciences and Engineering, Volume 21, Number 7, July 2024. This is published work with a Stanford OHS student.

  3. Dana Paquin and E. Li, On Convex Lattice Triangles with 3 Boundary Lattice Points and Collinear Interior Lattice Points, submitted to the Journal of Geometry, August 2025. This is research with a Stanford OHS student.

  4. Dana Paquin, L. Gross, A. Stewart, and G. Thai, Numerical Analysis of Critical Parameter Values for Remission During Imatinib Treatment of Chronic Myelogenous Leukemia, published in Mathematical Biosciences and Engineering, Volume 22, Number 6, April 2025. This is published work with undergraduate students.

Paquin Institute of Mathematics

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