Crichton Ogle

Mathematics · The Ohio State University

Established · publishing since 1980

Homotopy and Cohomology in Algebraic Topology Algebraic structures and combinatorial models Advanced Topics in Algebra Advanced Operator Algebra Research Geometric and Algebraic Topology

Publications

Citations

129

Est. group size

—

Recurring co-author estimate

Active years

Publishing since 1980

Research summary

AI-generated

Crichton Ogle works in algebraic topology and algebra, focusing on abstract structures like homotopy theory (methods for studying shapes and spaces that can be continuously deformed into each other), K-theory (a tool for classifying algebraic and geometric objects), and module theory over ordered or categorical structures. Some more recent work applies mathematical modeling techniques to problems in geodesy and geophysics, such as estimating gravity fields and solving load problems on the Earth's surface. This profile suggests a background suited to students interested in pure mathematics with potential applied connections to earth science modeling.

Algebraic topology and homotopy theoryK-theory and Mackey functorsModule theory over partially ordered sets and categoriesOperator algebras and amenabilityMathematical modeling in geodesy/geophysics

Publication output has been modest and variable over the last decade, with a peak in 2018 (6 papers) followed by a slower, intermittent pace averaging about 1 paper per year in recent years.

Generated by claude-sonnet-5 from public bibliographic data · Jul 20, 2026

Publication cadence

Publications per year over the last 10 years — averaging 1.2/year recently

Recent publications

A discrete contraction conjecture for estimating gravity fields on irregular closed surfaces
Journal of Geodesy · 2026
On the chromatic localization of the homotopy completion tower for\n $\\mathcal{O}$-algebras
arXiv (Cornell University) · 2020
On the chromatic localization of the homotopy completion tower for $\mathcal{O}$-algebras
arXiv (Cornell University) · 2020
K-theory of Hermitian Mackey functors, real traces, and assembly
Annals of K-Theory · 2019
An Analytic Method for Computing the Infinite Sums Occurring in the Geoelastic Disk Load Problem
Journal of Geophysical Research Solid Earth · 2019
On the structure of modules indexed by partially ordered sets
2018
A Fundamental Theorem for the $K$-theory of connective $\mathbb{S}$-algebras
arXiv (Cornell University) · 2018
A Fundamental Theorem for the $K$-theory of connective\n $\\mathbb{S}$-algebras
arXiv (Cornell University) · 2018
On the structure of geometrically injective modules indexed by partially ordered sets
arXiv (Cornell University) · 2018
Relative Amenability and Relative Soficity
arXiv (Cornell University) · 2018
On the structure of modules indexed by small categories
arXiv (Cornell University) · 2018
$K$-theory of Hermitian Mackey functors and a reformulation of the Novikov Conjecture
arXiv (Cornell University) · 2017

Publishes in

arXiv (Cornell University)×12
Reports on Progress in Physics×1
Communications in Mathematical Physics×1
Annals of K-Theory×1
Journal of Geophysical Research Solid Earth×1

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This profile was generated automatically from public scholarly data (OpenAlex). Group size and activity levels are estimates derived from co-authorship patterns.

Last updated Jul 19, 2026.

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