James B. Wilson
Professor of Mathematics
Colorado State University
Specializing in algebraic structures, tensor analysis, and computational algebra. My research focuses on isomorphism problems, linear data structures, and the mathematical foundations of machine learning.
Research Interests
Linear Data Structures
Developing mathematical frameworks for understanding and processing data with underlying linear structure.
Tensor Analysis
Exploring tensor spaces, decompositions, and applications to computational problems and machine learning.
Computational Algebra
Building algorithms and software tools for solving isomorphism problems and algebraic computations.
Current Focus
How can we recognize that data recorded in different ways represents the same information? This fundamental question of isomorphism has been challenging researchers for over a century. My work focuses on cases where data is parameterized by vector spaces, studying any data structure with obvious or hidden distributive properties.
Recent Publications & Preprints
Featured Research
Recent work on isomorphism problems, tensor decompositions, and computational algebra methods for analyzing linear data structures.
View Linear Data Book →Tensor Categories & Applications
Work on tensor categories and their applications to computational problems.
Group Theory & Algorithms
Algorithmic approaches to group decomposition and isomorphism testing.
Browse Topics
Search Docs
Recent Events & Workshops
Conferences, workshops, and collaborative research activities
Groups, Nilpotence, and Tensors 2023
Regional workshop on groups, nilpotent structures, and multilinear algebra
View All Events →Tensor Analysis Research Group
Regular seminars and collaborative research in tensor analysis
Learn More →Software & Tools
Open-source computational tools for algebraic research
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