Peter Kagey |
(Download as PDF) |
Email: pkagey@cpp.edu
Last updated: September 28, 2025
Work
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California State Polytechnic University, Pomona
Assistant Professor of Mathematics |
August 2024–present |
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Harvey Mudd College
Visiting Assistant Professor of Mathematics |
July 2022–June 2024 |
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University of Southern California
Assistant Lecturer and Teaching Assistant |
August 2017–July 2022 |
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Dexcom
Software Engineer |
December 2014–August 2017 |
Education
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University of Southern California Ph.D. in Mathematics Dissertation: "Permutations, Statistics, and Switches" Advisor: Sami Assaf |
August 2017–July 2022 |
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Oregon State University B.S. in Mathematics |
September 2011–June 2014 |
Teaching
| Cal Poly Pomona | |
|---|---|
| MAT 4200: Differential Geometry | S26 |
| MAT 4170: Introduction to Abstract Algebra I | S26 |
| MAT 4111A: Putnam Preparation | F25 |
| MAT 3100W: Introduction to Mathematical Proof | F25 |
| MAT 4180: Introduction to Abstract Algebra II | S25 |
| MAT 4170: Introduction to Abstract Algebra I | F24 |
| Harvey Mudd College | |
| MATH 106: Combinatorics | S24 |
| MATH 189AH: Making Mathematics | S24 |
| MATH 197: Senior Thesis in Mathematics | S24 |
| MATH 198: Math Forum | S24 |
| MATH 019: Single and Multivariable Calculus | F23 |
| MATH 196: Independent Study (Information and Complexity Theory) | F23 |
| MATH 197: Senior Thesis in Mathematics | F23 |
| MATH 198: Math Forum | F23 |
| MATH 062: Probability and Statistics | S23 |
| MATH 197: Senior Thesis in Mathematics | S23 |
| MATH 198: Math Forum | S23 |
| MATH 019: Single and Multivariable Calculus | F22 |
| MATH 197: Senior Thesis in Mathematics | F22 |
| MATH 198: Math Forum | F22 |
| University of Southern California | |
| MATH 408: Mathematical Statistics | S22 |
| MATH 407: Probability Theory | F21 |
| MATH 432: Applied Combinatorics | S21 |
| MATH 226: Calculus III | F20 |
| MATH 040: Basic Mathematical Skills (Instructor of Record) | S20 |
| MATH 225: Linear Algebra and Linear Differential Equations | F19 |
| MATH 229: Calculus III for Engineers and Scientists | F18 |
| MATH 126: Calculus II | S18 |
Papers
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Peter Kagey. Ranking and unranking restricted permutations. Discrete Applied Mathematics, 355:247–261, October 2024.
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Peter Kagey and William Keehn. Counting tilings of the \(n \times m\) grid, cylinder, and torus. Journal of Integer Sequences, 27, June 2024.
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Peter Kagey. Spinning switches on a wreath product. Journal of Combinatorial Theory, Series A, 200:105795, November 2023.
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Braxton Carrigan, Joseph O’Brien, and Peter Kagey. Minimizing positive integer sequences without duplicate substrings. Geombinatorics, 27(3):109–120, January 2018.
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Braxton Carrigan, Peter Kagey, and Joseph O’Brien. Further results on minimizing positive integer sequences without duplicate substrings. Congressus Numerantium, 228:295–303, 2017
Pre-prints
- Jasper Bown, Peter Kagey, Alan Kappler, Michael E. Orrison, Jayden Thadani, Preference-restricted parking functions, arXiv:2507.11701.
- Peter Kagey and Krishna Rajesh, On a Conjecture about Ron Graham’s Sequence, arXiv:2410.04728.
- Peter Kagey, A Proof Without Words: Triangles in a Triangular Grid, arXiv:2211.00186.
- Peter Kagey, Permutations with a given number of k-cycles, arXiv:2112.05281.
Talks
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ICERM (Illustrating Mathematics: Reunion/Expansion) Enumerating Truchet tiles on the faces of polyhedra |
August 2025 |
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National Math Camps: Camp Conway Conway's Game of Life |
June 2025 |
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Joint Mathematics Meetings AMS Special Session: Using 3D-Printed [...] Objects in the Mathematics Classroom Embodied Mathematics: Reflections on Teaching "Making Mathematics" |
January 2025 |
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Cal Poly Pomona Math and Stats Colloquium Counting Lyndon words with a given prefix |
October 2024 |
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MAA SoCal/Nevada F24 Section Meeting On Ron Graham's Sequence and a Longstanding Conjecture |
October 2024 |
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MathFest MAA Invited Paper Session on Mathematics and Art Enumerating Truchet Tilings and Afghan Squares |
August 2024 |
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Algebra/Number Theory/Combinatorics Seminar of the Claremont Colleges Building TOWARD Geometry: Truncated Octahedra Work As Rhombic Dodecahedra |
April 2024 |
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Guest lecture at the University of Pennsylvania The Art and Mathematics of Story-centered Research |
March 2024 |
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Gathering 4 Gardner Spinning Switches on a Wreath Product |
February 2024 |
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Whittier College Recreational Math and Combinatorial Algorithms |
February 2024 |
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Cal Poly Pomona Math and Stats Colloquium (Invited) Math as Art and Recreation |
January 2024 |
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Joint Mathematics Meetings AMS Special Session: Using 3D-Printed [...] Objects in the Mathematics Classroom Illustrating Multivariable Calculus Concepts In The Makerspace |
January 2024 |
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Joint Mathematics Meetings AMS Contributed Paper Session on Combinatorics Counting Arbitrary Tilings of the \(n \times m\) Square Grid, Cylinder, and Torus |
January 2024 |
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USC Probability/Statistics Seminar (Invited) Permutations with a given number of \(k\)-cycles |
November 2023 |
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Southern California Discrete Math Conference Ranking and Unranking Restricted Words |
November 2023 |
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Guest lecture at Cal State LA Math is for People: A Conversation About Math Anxiety |
October 2023 |
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MAA SoCal/Nevada meeting Counting arbitrary tilings of the \(n \times m\) grid under topological identifications |
October 2023 |
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Rutgers Virtual Seminar for Open Problems A Collection of Open Problems |
November 2022 |
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Cal Poly Pomona Math and Stats Colloquium Spinning switches on a wreath product |
October 2022 |
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ANTC Seminar of the Claremont Colleges Spinning switches on a wreath product |
September 2022 |
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Joint Mathematics Meetings The expected value of letters in permutations with a given number of \(k\)-cycles |
April 2022 |
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USC's Graduate Student Colloquium Convex Polyhedra with Regular Polygonal Faces and Vertices in \(\mathbb Z^n\) |
September 2021 |
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Graduate Student Combinatorics Conference A Generalized Spinning Switches Puzzle |
April 2021 |
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24-hour Maths Magic Show Communicating the Card: An Example of Hall's Theorem |
October 2020 |
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USC Graduate Geometry Seminar Polytopes and Tilings of the Hyperbolic Plane: Schläfli symbols and Conway notation |
February 2020 |
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USC's Graduate Algebra Seminar Enumerating States in the Tile Game "Palago" with Burnside's Lemma |
October 2019 |
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Graduate Student Combinatorics Conference Counting Subgraph Structures of the \(n \times k\) Grid Graph |
April 2019 |
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Graduate Student Combinatorics Conference Extending Ron Graham's Sequence and Other Explorations in the OEIS |
April 2018 |
Service and Outreach
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Prison Mathematics Project Mentor |
October 2022–present |
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On-Line Encyclopedia of Integer Sequences Associate Editor with over 900 contributions |
May 2019–present |
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National Math Camps: Camp Conway Faculty |
June 2025 |
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Claremont Colleges Women's Association for Computing Machinery Workshop Leader |
November 2023 |
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Gateway to Exploring Mathematical Sciences Workshop Designer/Leader |
November 2023 |
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USC's Directed Reading for Undergraduates Program Graduate Student Mentor |
Spring 2022 |
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Bridge to Enter Advanced Mathematics Volunteer Tutor |
May 2020–December 2022 |
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USC Mathematics Graduate Student Association President |
August 2018–June 2021 |
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USC Graduate Student Colloquium Co-organizer |
Fall 2021 |
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USC Graduate Geometry Seminar Co-organizer |
Spring 2020 |
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USC Graduate Algebra Seminar Co-organizer |
Fall 2019 |
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Venice Math Circle Volunteer |
Fall 2018 |
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Project Euler Problem Contributor, Problem 619 |
January 2018 |
Awards and Mentions
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Joint Mathematics Meeting: Bridges Art Exhibition Hinged Stellation |
January 2025 |
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MAA Project NExT Fellow Blue '24 |
2024–2025 |
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Sundeman Scholar Award Harvey Mudd College |
February 2024 |
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Joint Mathematics Meeting: Bridges Art Exhibition Triangle Center Fractals |
January 2024 |
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Finalist for Faculty Leadership Award Harvey Mudd College, (1 of 4 finalists) |
Spring 2023 |
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HMC Department of Mathematics Art Exhibition–Quod Erat Ars Truncated Trihexagonal Truchet Tiling |
Spring 2023 |
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Dennis Ray Estes Teaching Prize University of Southern California Math Department |
Spring 2022 |
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Mentioned in Pour La Science Addition et multiplication, des tables qui intriguent |
March 2021 |
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Graduate School Fellowship USC Dornsife College of Letters, Arts and Sciences |
Fall 2017, Spring 2019 |
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US National Collegiate Mathematics Championship Fifth place winner |
July 2014 |
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Botand Gabor Eross Scholarship for Outstanding Work in Mathematics Oregon State University |
2014 |
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William Lowell Putnam Mathematical Competition Oregon State University top scorer award |
2013 |