Colin Adams (mathematician)
Colin Adams | |
|---|---|
 | |
| Born | October 13, 1956 |
| Nationality | American |
| Alma mater | University of Wisconsin MIT |
| Scientific career | |
| Fields | Mathematics |
| Institutions | Williams College |
| Doctoral advisor | James W. Cannon |
Colin Conrad Adams (born October 13, 1956) is a
Mathematical Intelligencer
. His nephew is popular American singer Still Woozy.
Academic career
Adams received a
Ph.D. in mathematics from the University of Wisconsin–Madison in 1983. His dissertation was titled "Hyperbolic Structures on Link Complements" and supervised by James Cannon
.
In 2012 he became a fellow of the American Mathematical Society.[1]
Work
Among his earliest contributions is his theorem that the
horoball-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 figure-eight knot complement
and its sibling manifold.
Adams has investigated and defined a variety of geometric invariants of hyperbolic links 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 collaborated and published this research with students from SMALL, an undergraduate summer research program at Williams.
Books
- C. Adams, The Tiling Book: An Introduction to the Mathematical Theory of Tilings. American Mathematical Society, Providence, RI, 2022. ISBN 1470468972
- C. Adams, The Math Museum: A Survival Story”, MAA Press, 2022. ISBN 1470468581
- C. Adams, The Knot Book: An elementary introduction to the mathematical theory of knots. Revised reprint of the 1994 original. American Mathematical Society, Providence, RI, 2004. xiv+307 pp. ISBN 0-8218-3678-1
- C. Adams, ISBN 0-7167-3160-6
- C. Adams, ISBN 0-7167-4174-1
- C. Adams, Why Knot?: An Introduction to the Mathematical Theory of Knots. Key College, 2004. ISBN 1-931914-22-2
- C. Adams, R. Franzosa, "Introduction to Topology: Pure and Applied." Prentice Hall, 2007. ISBN 0-13-184869-0
- C. Adams, "Riot at the Calc Exam and Other Mathematically Bent Stories." American Mathematical Society, 2009. ISBN 0-8218-4817-8
- C. Adams,"Zombies & Calculus." Princeton University Press, 2014. ISBN 978-0691161907
- C. Adams, J. Rogawski, "Calculus." W. H. Freeman, 2015. ISBN 978-1464125263
Selected publications
- C. Adams, Thrice-punctured spheres in hyperbolic $3$-manifolds. Trans. Am. Math. Soc. 287 (1985), no. 2, 645—656.
- C. Adams, Augmented alternating link complements are hyperbolic. Low-dimensional topology and Kleinian groups (Coventry/Durham, 1984), 115—130, London Math. Soc. Lecture Note Ser., 112, Cambridge Univ. Press, Cambridge, 1986.
- C. Adams, The noncompact hyperbolic $3$-manifold of minimal volume. Proc. Am. Math. Soc. 100 (1987), no. 4, 601—606.
- C. Adams and A. Reid, Systoles of hyperbolic $3$-manifolds. Math. Proc. Camb. Philos. Soc. 128 (2000), no. 1, 103—110.
- C. Adams; A. Colestock; J. Fowler; W. Gillam; E. Katerman. Cusp size bounds from singular surfaces in hyperbolic 3-manifolds. Trans. Am. Math. Soc. 358 (2006), no. 2, 727—741
- C. Adams; O. Capovilla-Searle, J. Freeman, D. Irvine, S. Petti, D.Vitek, A. Weber, S. Zhang. Bounds on Ubercrossing and Petal Number for Knots. Journal of Knot Theory and its Ramifications, vol. 24, no. 2 (2015) 1550012 (16 pages).
References
- ^ List of Fellows of the American Mathematical Society, retrieved 2012-11-03.
External links
- Faculty page at Williams
- Mathematical genealogy
- MSRI talk by Slugbate
- A typical announcement for a Slugbate talk with a photo
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