Paper of the Future Prize
2026 Paper of the Future Prize
The Association for Mathematical Research invites submissions for a $10,000 “Paper of the Future” Prize
Executive Summary
For centuries, mathematics has been communicated in a fundamentally linear medium: the written page. From manuscript to journal article to PDF, the format has remained static and sequential. Yet mathematics itself is nonlinear, dynamic, and structurally rich. Proofs form dependency graphs, geometric objects live in high dimensions, differential equations evolve over time, and algebraic structures act on spaces.
Today, technical barriers to dynamic and interactive exposition have largely fallen. Web-based graphics, browser computation, simulation engines, and AI-assisted coding now allow mathematicians — not just professional software engineers — to build interactive, multidimensional representations of mathematical ideas. The constraint is no longer technical capacity, but imagination.
The aim of this initiative is not popularization, nor production polish, nor short-form video content. The purpose is to encourage serious experimentation in how mathematicians communicate with one another. We seek submissions that demonstrate communicative capabilities fundamentally unavailable in a static PDF — for example:
– Interactive exploration of parameter spaces in differential equations
– Dynamic visualization of group actions or geometric structures
– Multi-perspective representations of algebraic or number-theoretic objects
– Nonlinear navigation of proof architectures or dependency graphs
– Embedded computation as part of exposition
Each submission must explicitly articulate what essential communicative function it provides that a linear paper cannot. The initiative is intended as an experiment in format innovation, not as a replacement for traditional scholarship.
Structure:
$10,000 prize awarded to a selected winner.
Runner-up recognitions at committee discretion.
The committee reserves the right to withhold the prize if no submissions meet the high standards in the evaluation criteria outlined below.
Submission Process:
To minimize technical and security complications, initial submissions will consist of a short public concept demonstration, shown via video uploaded to YouTube demonstrating the prototype, accompanied by a concise written explanation of the mathematical substance and communicative innovation, placed in the YouTube video description. These will be due on:
For centuries, mathematics has been communicated in a fundamentally linear medium: the written page. From manuscript to journal article to PDF, the format has remained static and sequential. Yet mathematics itself is nonlinear, dynamic, and structurally rich. Proofs form dependency graphs, geometric objects live in high dimensions, differential equations evolve over time, and algebraic structures act on spaces.
Today, technical barriers to dynamic and interactive exposition have largely fallen. Web-based graphics, browser computation, simulation engines, and AI-assisted coding now allow mathematicians — not just professional software engineers — to build interactive, multidimensional representations of mathematical ideas. The constraint is no longer technical capacity, but imagination.
The aim of this initiative is not popularization, nor production polish, nor short-form video content. The purpose is to encourage serious experimentation in how mathematicians communicate with one another. We seek submissions that demonstrate communicative capabilities fundamentally unavailable in a static PDF — for example:
– Interactive exploration of parameter spaces in differential equations
– Dynamic visualization of group actions or geometric structures
– Multi-perspective representations of algebraic or number-theoretic objects
– Nonlinear navigation of proof architectures or dependency graphs
– Embedded computation as part of exposition
Each submission must explicitly articulate what essential communicative function it provides that a linear paper cannot. The initiative is intended as an experiment in format innovation, not as a replacement for traditional scholarship.
Structure:
$10,000 prize awarded to a selected winner.
Runner-up recognitions at committee discretion.
The committee reserves the right to withhold the prize if no submissions meet the high standards in the evaluation criteria outlined below.
Submission Process:
To minimize technical and security complications, initial submissions will consist of a short public concept demonstration, shown via video uploaded to YouTube demonstrating the prototype, accompanied by a concise written explanation of the mathematical substance and communicative innovation, placed in the YouTube video description. These will be due on:
July 1, 2026.
Finalists will provide a fully accessible prototype suitable for hosting or linking within AMR Reviews.
Publication:
The winning submission will be published in AMR Reviews as an interactive exposition, with appropriate documentation and citation structure.
Evaluation Criteria:
Submissions will be judged according to:
– Mathematical depth and rigor
– Conceptual insight enabled by the medium
– Communicative innovation beyond static exposition
– Scalability and reproducibility
– Transformative potential for research communication
Production polish alone will not be sufficient. Innovation must be epistemic, not merely aesthetic. The goal of this prize is not to predict or mandate a future standard. Historically, durable scholarly tools (e.g., LaTeX) emerged through voluntary adoption after proving superior in practice. By creating space for experimentation, the AMR aims to help surface approaches that are both intellectually powerful and practically scalable.
Selection Committee:
Finalists will provide a fully accessible prototype suitable for hosting or linking within AMR Reviews.
Publication:
The winning submission will be published in AMR Reviews as an interactive exposition, with appropriate documentation and citation structure.
Evaluation Criteria:
Submissions will be judged according to:
– Mathematical depth and rigor
– Conceptual insight enabled by the medium
– Communicative innovation beyond static exposition
– Scalability and reproducibility
– Transformative potential for research communication
Production polish alone will not be sufficient. Innovation must be epistemic, not merely aesthetic. The goal of this prize is not to predict or mandate a future standard. Historically, durable scholarly tools (e.g., LaTeX) emerged through voluntary adoption after proving superior in practice. By creating space for experimentation, the AMR aims to help surface approaches that are both intellectually powerful and practically scalable.
Selection Committee:
Mohammed Abouzaid, Benson Farb, Alex Kontorovich, Akshay Venkatesh, Maryna Viazovska