Charles Livingston
Mathematics · Indiana University
Publications
209
Citations
1,941
Est. group size
—
Recurring co-author estimate
Active years
60
Publishing since 1966
Charles Livingston works in topology, the branch of mathematics that studies shapes and spaces that can be stretched and bent without tearing. His research focuses on knot theory, especially how knots and their higher-dimensional analogs can be classified, compared, and distinguished using algebraic tools. Much of his recent work uses invariants (numerical or algebraic 'fingerprints') such as knot Floer homology to study the concordance group, a structure that organizes knots by how they relate through surfaces in four-dimensional space.
Publication activity has remained fairly steady over the last decade, averaging about three papers per year over the last five years with some year-to-year variation.
Generated by claude-opus-4-8 from public bibliographic data · Jul 11, 2026
- Rank-Expanding Satellite Operators on the Topological Knot Concordance Group
The Michigan Mathematical Journal · 2025
- An Upsilon torsion function for knot Floer homology
Mathematical Research Letters · 2025
- The computation of higher order Alexander invariants
arXiv (Cornell University) · 2025
- Knot primality: knot Floer homology, metacyclic representations and twisted homology
arXiv (Cornell University) · 2025
- Branched covers and rational homology balls
Algebraic & Geometric Topology · 2024
- Connected sums of codimension two locally flat submanifolds
Proceedings of the Royal Society of Edinburgh Section A Mathematics · 2023
- Intrinsic symmetry groups of links
Algebraic & Geometric Topology · 2023
- Critical point counts in knot cobordisms: abelian and metacyclic invariants
Transactions of the American Mathematical Society Series B · 2023
- Cobordism distance on the projective space of the knot concordance group
Canadian Journal of Mathematics · 2023
- Using knot Floer invariants to detect prime knots
arXiv (Cornell University) · 2023
- Knot reversal acts non-trivially on the concordance group of topologically slice knots
Selecta Mathematica · 2022
- Branched covers and rational homology balls
arXiv (Cornell University) · 2022
- Signed clasp numbers and four-genus bounds
arXiv (Cornell University) · 2022
- An Upsilon torsion function for knot Floer homology
arXiv (Cornell University) · 2022
- Rank-expanding satellite operators on the topological knot concordance group
arXiv (Cornell University) · 2022
- arXiv (Cornell University)×18
- Proceedings of the American Mathematical Society×4
- Algebraic & Geometric Topology×3
- The Michigan Mathematical Journal×2
- Journal of Differential Geometry×1
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 11, 2026.
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