Faculty

Institution

Unit

Venue

Arthur T. Benjamin

Harvey Mudd College

Affiliations

Center For Computational Science And Engineering

Harvey Mudd College

Department Of Biology

Department Of Computer Science

Department Of Mathematics

Humanities, Social Sciences, and the Arts

NoneArthur T. Benjamin is currently serving as a Center For Computational Science And Engineering faculty at Harvey Mudd College.

Honors

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Experiences

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Education

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Arthur T. Benjamin

Harvey Mudd College

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mathematics combinatorics applied mathematics combinatorial theory analytic combinatorics enumerative combinatorics discrete mathematics number theory mathematical analysis mathematical sciences game theory diophantine analysis statistics combinatorial design theory computer science spectral theory combinatorial optimization discrete algorithms combinatorial designs combinatorial games probability theory bijective combinatorics discrete geometry chebyshev polynomials fibonacci identities graph theory representation theory probabilistic analysis combinatorial methods algebraic combinatorics orthogonal polynomials matrix theory mathematical proof computational game theory continued fractions pade approximation combinatorial proofs nonlinear phenomena communication security management science bayesian analysis intelligent vehicles vehicle system dynamics mobility vehicular technology mathematical optimization automated deduction digital scholarship proof theory fact checking proof system asymptotic formula information security management security management security governance combinatorics on words abstract complexity topological combinatorics heuristic search mathematical statistics latent variable models probabilistic graph theory traffic models combinatorial approach harmonic numbers relatively prime polynomials pell numbers strong chromatic index campus security phased tilings fibonacci determinants binomial coefficients fibonacci identity integer partitions composite fermions combinatorial proof

Notable Scholarly Works

Notable Federal Grants

Collaborators

Book Review: Hands-on Combinatorics, by Brian Hopkins. The Fibonacci quarterly (2026)

Solving the Race in Backgammon. Scatterplot (2026)

game theoryevolutionary intelligencecooperationsocial choicecomputer sciencemechanism design

A Proof of the Optimal Leapfrogging Conjecture. Involve a Journal of Mathematics (2025)

combinatoricscombinatorial theoryoptimal leapfrogging conjecturelower boundsmathematics

Counting on Hosoya’s Triangle. The Fibonacci quarterly (2022)

combinatoricsgeometryhosoya ’discrete mathematicspolyhedroncombinatorial theoryenumerative combinatoricsdiscrete geometryanalytic combinatorics

Optimal Leapfrogging, a Complete Guide. arXiv (Cornell University) (2021)

computational optimizationaerospace engineeringtrajectory optimizationsamplingoptimal leapfroggingheuristic (computer science)

A Tiling Interpretation of the Q -Binomial Coefficients. The Fibonacci quarterly (2020)

combinatorial design theoryapplied mathematicsmathematicspure mathematicscombinatoricsdiscrete mathematicstiling interpretationenumerative combinatoricsmathematical analysisanalytic combinatoricsmathematical sciences

Counting on Euler and Bernoulli Number Identities. The Fibonacci quarterly (2020)

mock theta functionsbernoulli number identitiesenumerative combinatoricsnumber theoryanalytic combinatorics

Unified Tiling Proofs of a Family of Fibonacci Identities. The Fibonacci quarterly (2019)

Arthur T. BenjaminJoshua CrouchJames A. Sellers

fibonacci identitiescombinatoricsabstract complexitygroup theorycombinatorial theorymathematicsgraph theory

Challenging Knight’s Tours. Math Horizons (2018)

visual artstourismperformance studiesperformance artcultural tourismhistorical dance

A Bijective Proof of a Derangement Recurrence. The Fibonacci quarterly (2017)

combinatoricsbijective combinatoricscombinatorial theoryenumerative combinatoricsbijective proofanalytic combinatorics

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Arthur T. Benjamin

Harvey Mudd College

Affiliations

Center For Computational Science And Engineering

Harvey Mudd College

Department Of Biology

Department Of Computer Science

Department Of Mathematics

Humanities, Social Sciences, and the Arts

NoneArthur T. Benjamin is currently serving as a Center For Computational Science And Engineering faculty at Harvey Mudd College.

Honors

Create free account to unlock more features

Experiences

Create free account to unlock more features

Education

Create free account to unlock more features

Arthur T. Benjamin

Harvey Mudd College

You can click a keyword to filter the displayed items

Notable Scholarly Works

Notable Federal Grants

Collaborators

Book Review: Hands-on Combinatorics, by Brian Hopkins. The Fibonacci quarterly (2026)

Solving the Race in Backgammon. Scatterplot (2026)

game theoryevolutionary intelligencecooperationsocial choicecomputer sciencemechanism design

A Proof of the Optimal Leapfrogging Conjecture. Involve a Journal of Mathematics (2025)

combinatoricscombinatorial theoryoptimal leapfrogging conjecturelower boundsmathematics

Counting on Hosoya’s Triangle. The Fibonacci quarterly (2022)

combinatoricsgeometryhosoya ’discrete mathematicspolyhedroncombinatorial theoryenumerative combinatoricsdiscrete geometryanalytic combinatorics

Optimal Leapfrogging, a Complete Guide. arXiv (Cornell University) (2021)

computational optimizationaerospace engineeringtrajectory optimizationsamplingoptimal leapfroggingheuristic (computer science)

A Tiling Interpretation of the Q -Binomial Coefficients. The Fibonacci quarterly (2020)

Counting on Euler and Bernoulli Number Identities. The Fibonacci quarterly (2020)

mock theta functionsbernoulli number identitiesenumerative combinatoricsnumber theoryanalytic combinatorics

Unified Tiling Proofs of a Family of Fibonacci Identities. The Fibonacci quarterly (2019)

Arthur T. BenjaminJoshua CrouchJames A. Sellers

fibonacci identitiescombinatoricsabstract complexitygroup theorycombinatorial theorymathematicsgraph theory

Challenging Knight’s Tours. Math Horizons (2018)

visual artstourismperformance studiesperformance artcultural tourismhistorical dance

A Bijective Proof of a Derangement Recurrence. The Fibonacci quarterly (2017)

combinatoricsbijective combinatoricscombinatorial theoryenumerative combinatoricsbijective proofanalytic combinatorics

1
2
3
4
5
10
10 / page