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and hyperbolic 3-manifolds in general. He developed techniques for working with volumes of special classes of hyperbolic links. He proved augmented alternating links, which he defined, were hyperbolic. In addition, he has defined almost alternating and toroidally alternating links. He has often
225:-packing arguments. Adams is known for his clever use of such arguments utilizing horoball patterns and his work would be used in the later proof by Chun Cao and G. Robert Meyerhoff that the smallest cusped orientable hyperbolic 3-manifolds are precisely the
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Low-dimensional topology and
Kleinian groups (Coventry/Durham, 1984), 115—130, London Math. Soc. Lecture Note Ser., 112, Cambridge Univ. Press, Cambridge, 1986.
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collaborated and published this research with students from SMALL, an undergraduate summer research program at
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C. Adams, "Riot at the Calc Exam and Other
Mathematically Bent Stories." American Mathematical Society, 2009.
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Revised reprint of the 1994 original. American
Mathematical Society, Providence, RI, 2004. xiv+307 pp.
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in 1983. His dissertation was titled "Hyperbolic
Structures on Link Complements" and was supervised by
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C. Adams; O. Capovilla-Searle, J. Freeman, D. Irvine, S. Petti, D.Vitek, A. Weber, S. Zhang.
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C. Adams, R. Franzosa, "Introduction to
Topology: Pure and Applied." Prentice Hall, 2007.
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Journal of Knot Theory and its
Ramifications, vol. 24, no. 2 (2015) 1550012 (16 pages).
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The Knot Book: An elementary introduction to the mathematical theory of knots.
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Adams has investigated and defined a variety of geometric invariants of
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The Tiling Book: An
Introduction to the Mathematical Theory of Tilings.
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University of
Wisconsin–Madison College of Letters and Science alumni
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C. Adams,"Zombies & Calculus." Princeton
University Press, 2014.
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This article is about the mathematician. For the TV executive, see
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Cusp size bounds from singular surfaces in hyperbolic 3-manifolds.
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Why Knot?: An Introduction to the Mathematical Theory of Knots.
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Massachusetts Institute of Technology School of Science alumni
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C. Adams; A. Colestock; J. Fowler; W. Gillam; E. Katerman.
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The noncompact hyperbolic $ 3$ -manifold of minimal volume.
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Math. Proc. Camb. Philos. Soc. 128 (2000), no. 1, 103—110.
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Among his earliest contributions is his theorem that the
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C. Adams, J. Rogawski, "Calculus." W. H. Freeman, 2015.
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A typical announcement for a Slugbate talk with a photo
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Thrice-punctured spheres in hyperbolic $ 3$ -manifolds.
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Augmented alternating link complements are hyperbolic.
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How to Ace the Rest of Calculus: The Streetwise Guide.
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The Math Museum: A Survival Story”, MAA Press, 2022.
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American Mathematical Society, Providence, RI, 2022.
166:. His nephew is popular American singer Still Woozy.
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List of Fellows of the American Mathematical Society
432:Bounds on Ubercrossing and Petal Number for Knots.
413:Proc. Am. Math. Soc. 100 (1987), no. 4, 601—606.
399:Trans. Am. Math. Soc. 287 (1985), no. 2, 645—656.
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156:Third Century Professor of Mathematics at
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221:of smallest volume. The proof utilizes
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132:(born October 13, 1956) is an American
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180:Massachusetts Institute of Technology
58:Massachusetts Institute of Technology
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138:hyperbolic 3-manifolds
16:American mathematician
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390:Selected publications
219:hyperbolic 3-manifold
217:is the unique cusped
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227:figure-eight knot
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188:mathematics
150:knot theory
142:knot theory
89:Mathematics
46:Nationality
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500:Categories
439:References
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