Clayton Shonkwiler

Associate Professor

Colorado State University

United States

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Clayton Shonkwiler is an Associate Professor at Colorado State University in the United States. His research focuses on various areas including topological polymers, geometric approaches to matrix normalization, and differential geometry. Recent publications include works on the contraction factors of topological polymers, sampling algorithms for closed polygons, and applications in bone tissue engineering.

Articles (14)

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2025

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2025

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2025

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2024

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2023

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2023

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2022

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2022

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2022

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2022

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2022

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2022

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2022

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2021

Collaborators (3)

Jason Cantarella

Professor of Mathematics

University of Georgia

UNITED STATES

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Thomas Needham

Assistant Professor

Florida State University

UNITED STATES

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David Prawel

Colorado State University

UNITED STATES

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Clayton Shonkwiler

Research Interests

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Contact this professor

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Articles (14)

Factoring the Laplacian to understand topological polymers

An exact formula for the contraction factor of a subdivided Gaussian topological polymer

Geometric approaches to matrix normalization and graph balancing

A faster direct sampling algorithm for equilateral closed polygons and the probability of knotting

Fusion Frame Homotopy and Tightening Fusion Frames by Gradient Descent

Robocasting of Ceramic Fischer–Koch S Scaffolds for Bone Tissue Engineering

Radius of gyration, contraction factors, and subdivisions of topological polymers

Toric symplectic geometry and full spark frames

New Stick Number Bounds from Random Sampling of Confined Polygons

Visual Differential Geometry and Forms: A Mathematical Drama in Five Acts

New superbridge index calculations from non-minimal realizations

Admissibility and frame homotopy for quaternionic frames

All Prime Knots Through 10 Crossings Have Superbridge Index ≤ 5

Expected distances on manifolds of partially oriented flags

Collaborators (3)

Jason Cantarella

Thomas Needham

David Prawel

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