Charles Livingston (mathematician)
Charles Livingston is a mathematician working in geometric topology, low-dimensional topology and knot theory. He is a professor emeritus at Indiana University.[1]
In 1982, he posed a conjecture on Seifert surfaces that remained open for 40 years. It was finally solved in 2022 in a collaborative effort of five mathematicians: Kyle Hayden, Seungwon Kim, Maggie Miller, JungHwan Park, and Isaac Sundberg.[1]
His undergraduate studies where at University of California, Los Angeles and MIT.[2] Livingston obtained his PhD in 1980 from the University of California, Berkeley, advised by Robion Kirby (thesis: The Knotting of Surfaces in 4-Spaces).[3]
He is the author of the textbook Knot Theory (MAA).[4][5] In 2004, he was awarded the Lester R. Ford Award from the Mathematical Association of America.[6]
Selected publications
[edit]Research papers
[edit]- "Surfaces bounding the unlink". Michigan Math. J., 29(3):289–298, 1982. (paper where he proposed his conjecture)
- with Paul Kirk: "Twisted Alexander invariants, Reidemeister torsion, and Casson–Gordon invariants", Topology 38 (3), 635–661
- "Computations of the Ozsváth–Szabó knot concordance invariant", Geometry & Topology 8 (2), 735–742
- "Heegaard Floer homology and rational cuspidal curves", Forum of Mathematics, Sigma 2, e28
- "Twisted knot polynomials: inversion, mutation and concordance", Topology 38 (3), 663–671
Textbooks
[edit]References
[edit]- ^ a b Hartnett, Kevin (16 June 2022), "Surfaces So Different Even a Fourth Dimension Can't Make Them the Same", Quanta Magazine
- ^ Mathematical Association of America, MathFest 2004, PRIZES and AWARDS, https://maa.org/wp-content/uploads/2025/01/PRZBKmathfest2004.pdf
- ^ Mathematics Genealogy Project: https://genealogy.math.ndsu.nodak.edu/id.php?id=22697
- ^ a b Book review 1 (by Joan S. Birman) at The American Mathematical Monthly): https://www.jstor.org/stable/2974659
- ^ a b Book review 2 (by W. B. R. Lickorish) at The Mathematical Gazette: https://www.cambridge.org/core/journals/mathematical-gazette/article/abs/knot-theory-by-charles-livingston-pp-240-3150-1994-isbn-0883850273-mathematical-association-of-america/FA5EDC177114CA94B2AD3F9C213C0F07
- ^ "Paul R. Halmos – Lester R. Ford Awards – Mathematical Association of America".
External links
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