| 词条 | Marc Lackenby |
| 释义 |
Marc Lackenby is a professor of mathematics at the University of Oxford whose research concerns knot theory, low-dimensional topology, and group theory. Lackenby studied mathematics at the University of Cambridge beginning in 1990, and earned his Ph.D. in 1997, with a dissertation on Dehn Surgery and Unknotting Operations supervised by W. B. R. Lickorish.{{r|mg}} After positions as Miller Research Fellow at the University of California, Berkeley and as Research Fellow at Cambridge, he joined Oxford as a Lecturer and Fellow of St Catherine's in 1999. He was promoted to Professor at Oxford in 2006.{{r|cv}} Lackenby's research contributions include a proof of a strengthened version of the 2{{pi}} theorem on sufficient conditions for Dehn surgery to produce a hyperbolic manifold,{{ran|L00}} a bound on the hyperbolic volume of a knot complement of an alternating knot,{{ran|L04}} and a proof that every diagram of the unknot can be transformed into a diagram without crossings by only a polynomial number of Reidemeister moves.{{ran|L15}} Lackenby won the Whitehead Prize of the London Mathematical Society in 2003.{{r|lms}} In 2006, he won the Philip Leverhulme Prize in mathematics and statistics.{{r|leverhulme}} He was an invited speaker at the International Congress of Mathematicians in 2010.{{r|icm}} Selected publications{{rma|L00|{{citation| last = Lackenby | first = Marc | arxiv = math/9808120 | doi = 10.1007/s002220000047 | issue = 2 | journal = Inventiones Mathematicae | mr = 1756996 | pages = 243–282 | title = Word hyperbolic Dehn surgery | volume = 140 | year = 2000| bibcode = 2000InMat.140..243L }}{{rma|L04|{{citation | last = Lackenby | first = Marc | arxiv = math/0012185 | doi = 10.1112/S0024611503014291 | issue = 1 | journal = Proceedings of the London Mathematical Society | mr = 2018964 | pages = 204–224 | series = Third Series | title = The volume of hyperbolic alternating link complements | volume = 88 | year = 2004}}. }}{{rma|L15|{{citation | last = Lackenby | first = Marc | arxiv = 1302.0180 | doi = 10.4007/annals.2015.182.2.3 | issue = 2 | journal = Annals of Mathematics | mr = 3418524 | pages = 491–564 | series = Second Series | title = A polynomial upper bound on Reidemeister moves | volume = 182 | year = 2015}}. }} References1. ^{{citation|url=http://www.mathunion.org/db/ICM/Speakers/SortedByLastname.php|title=ICM Plenary and Invited Speakers since 1897|publisher=International Mathematical Union|accessdate=2016-01-21}}. [1][2][3][4]2. ^{{citation|url=https://www.leverhulme.ac.uk/sites/default/files/imported_pdfs/annual%20report%202006.pdf|title=Report of the Leverhulme Trustees|year=2006|publisher=The Leverhulme Trust|accessdate=2016-01-21}} 3. ^{{citation|url=https://www.lms.ac.uk/prizes/list-lms-prize-winners|title=List of LMS prize winners|publisher=London Mathematical Society|accessdate=2016-01-21}} 4. ^{{mathgenealogy|id=70120}} }} External links
6 : Year of birth missing (living people)|Living people|English mathematicians|Alumni of the University of Cambridge|Fellows of St Catherine's College, Oxford|Topologists |
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