Igor Rivin
{{Short description|Russian-Canadian mathematician}}
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{{Infobox scientist
| name = Igor Rivin
| image =
| caption =
| image_size =
| birth_date = {{birth year and age|1961}}
| death_date =
| death_place =
| nationality = Canadian
| fields = Mathematics, Computer Science, Materials Science
| workplaces = University of St Andrews
Temple University
Caltech
University of Warwick
Institute for Advanced Study
Institut des Hautes Études Scientifiques
| alma_mater = Princeton University
University of Toronto
| doctoral_advisor = William Thurston
| doctoral_students = Michael Dobbins
| influences =
| known_for = Inscribable polyhedra
| awards = Whitehead Prize (1998)
}}
Igor Rivin (born 1961 in Moscow, USSR) is a Russian-Canadian mathematician,
working in various fields of pure and applied mathematics, computer science,
and materials science. He was the Regius Professor of Mathematics at the University of St. Andrews from 2015 to 2017, and was the chief research officer at Cryptos Fund until 2019. He was the principal of a couple of small hedge funds, and later did research for Edgestream LP, in addition to his academic work.
Career
He received his B.Sc. (Hon) in mathematics from the University of Toronto in 1981, and his Ph.D. in 1986{{cite thesis |last=Rivin |first=Igor |date=1986 |title=On geometry of convex polyhedra in hyperbolic 3-space |degree=PhD |publisher=Princeton University | mr = 2635205}} from Princeton University under the direction of William Thurston. Following his doctorate, Rivin directed development of QLISP and the Mathematica kernel, before returning to academia in 1992, where he held positions at the Institut des Hautes Études Scientifiques, the Institute for Advanced Study, the University of Melbourne, Warwick, and Caltech. Since 1999, Rivin has been professor of mathematics at Temple University. Between 2015 and 2017 he was Regius Professor of Mathematics at the University of St. Andrews.
Family Life
Has a son
Major accomplishments
Rivin's PhD thesis{{Cite journal | last1 = Hodgson | first1 = C. D. | last2 = Rivin | first2 = I. | doi = 10.1007/BF01231281 | title = A characterization of compact convex polyhedra in hyperbolic 3-space | journal = Inventiones Mathematicae | volume = 111 | pages = 77–111 | year = 1993 | bibcode = 1993InMat.111...77H | s2cid = 123418536 }} and a series of extensions{{cite journal | last1 = Rivin | first1 = Igor | year = 1994 | title = Euclidean Structures on Simplicial Surfaces and Hyperbolic Volume | journal = Annals of Mathematics | volume = 139 | issue = 3 | pages = 553–580 | doi = 10.2307/2118572 | jstor = 2118572 | s2cid = 120299702 }}{{cite journal | last1 = Rivin | first1 = Igor | year = 1996 | title = A Characterization of Ideal Polyhedra in Hyperbolic 3-Space | journal = Annals of Mathematics | volume = 143 | issue = 1 | pages = 51–70 | doi = 10.2307/2118652 | jstor = 2118652 }}{{Cite journal | last1 = Rivin | first1 = I. | doi = 10.1016/S0196-8858(03)00093-9 | title = Combinatorial optimization in geometry | journal = Advances in Applied Mathematics | volume = 31 | pages = 242–271| year = 2003 | arxiv = math/9907032 | s2cid = 119153365 }} characterized hyperbolic 3-dimensional polyhedra in terms of their dihedral angles, resolving a long-standing open question of Jakob Steiner on the inscribable combinatorial types. These, and some related results in convex geometry,{{Cite journal | last1 = Rivin | first1 = I. | title = Asymptotics of convex sets in Euclidean and hyperbolic spaces | doi = 10.1016/j.aim.2008.11.014 | doi-access = free | journal = Advances in Mathematics | volume = 220 | issue = 4 | pages = 1297–2013 | year = 2009 }} have been used in 3-manifold topology,{{cite book
| last1 = Futer | first1 = David
| last2 = Guéritaud | first2 = François
| contribution = From angled triangulations to hyperbolic structures
| doi = 10.1090/conm/541/10683
| mr = 2796632
| pages = 159–182
| arxiv = 1004.0440
| editor-last=Champanerkar | editor-first=Abhijit | editor-last2=Dasbach | editor-first2=Oliver | editor-last3=Kalfagianni | editor-first3=Efstratia | editor-last4=Kofman | editor-first4=Ilya | editor-last5=Neumann | editor-first5=Walter David | editor-last6=Stoltzfus | editor-first6=Neal W. | title=Interactions Between Hyperbolic Geometry, Quantum Topology and Number Theory | volume = 541 | publisher=American Mathematical Soc. | publication-place=Providence (R.I.) | date=2011 | isbn=978-0-8218-4960-6 }} theoretical physics, computational geometry, and the recently developed field of discrete differential geometry.
Rivin has also made advances in counting geodesics on surfaces,{{Cite journal | last1 = Rivin | first1 = I. | journal = Geometriae Dedicata | volume = 87 | pages = 345–360 |title=Simple Curves on Surfaces | doi = 10.1023/A:1012010721583 | year = 2001 | arxiv = math/9907041 | s2cid = 17338586 }} the study of generic elements of discrete subgroups of Lie groups,
{{Cite journal | last1 = Rivin | first1 = I. | title = Walks on groups, counting reducible matrices, polynomials, and surface and free group automorphisms | doi = 10.1215/00127094-2008-009 | journal = Duke Mathematical Journal | volume = 142 | issue = 2 | pages = 353–379 | year = 2008 | arxiv = math/0703532 | s2cid = 10093564 }} and in the theory of dynamical systems.{{Cite journal | last1 = Rivin | first1 = I. | title = On Some Mean Matrix Inequalites of Dynamical Interest | doi = 10.1007/s00220-004-1282-5 | journal = Communications in Mathematical Physics | volume = 254 | issue = 3 | pages = 651–658 | year = 2005 |bibcode = 2005CMaPh.254..651R | s2cid = 9510842 }}
Rivin is also active in applied areas, having written large parts of the Mathematica 2.0 kernel, and he developed a database of hypothetical zeolites in collaboration with M. M. J. Treacy.
Rivin is a frequent contributor to MathOverflow.
Igor Rivin is the co-creator, with economist Carlo Scevola, of Cryptocurrencies Index 30 (CCi30),{{cite web |url=https://cci30.com/ |title=Cryptocurrency Index 30 - CCi30}} an index of the top 30 cryptocurrencies weighted by market capitalization. CCi30 is sometimes used by academic economists as a market index when comparing the cryptocurrency trading market as a whole with individual currencies.{{Cite journal|last1=Ajaz|first1=Taufeeq|last2=Kumar|first2=Anoop S.|date=2018-06-01|title=Herding in crypto-currency markets|journal=Annals of Financial Economics|volume=13|issue=2|pages=1850006|doi=10.1142/S2010495218500069|s2cid=158488687|issn=2010-4952}}{{Cite journal|last1=Felix|first1=Thomas Heine|last2=von Eije|first2=Henk|date=2019-04-03|title=Underpricing in the cryptocurrency world: evidence from initial coin offerings|journal=Managerial Finance|volume=45|issue=4|pages=563–578|doi=10.1108/MF-06-2018-0281|s2cid=159119639|issn=0307-4358|url=https://pure.rug.nl/ws/files/118594213/10_1108_MF_06_2018_0281.pdf}}
Honors
- First prize, Canadian Mathematical Olympiad, 1977
- Whitehead prize of the London Mathematical Society, 1998{{Cite web | url=http://www.lms.ac.uk/content/list-lms-prize-winners#Whitehead_Prize |title = List of LMS prize winners | London Mathematical Society}}
- Advanced Research Fellowship of the EPSRC, 1998
- Lady Davis Fellowship at the Hebrew University, 2006
- Berlin Mathematical School professorship, 2011.{{Cite web |url=http://www.math-berlin.de/Guests.html |title=Berlin Mathematical School - Guests |access-date=2012-08-26 |archive-url=https://web.archive.org/web/20120719062810/http://www.math-berlin.de/Guests.html |archive-date=2012-07-19 |url-status=dead }}
- Fellow of the American Mathematical Society, 2014.[https://www.ams.org/profession/fellows-list List of Fellows of the American Mathematical Society], retrieved 2014-12-17
References
External links
- [https://www.ams.org/mathscinet/search/author.html?mrauthid=295064 Igor Rivin's author profile at MathSciNet]
- [https://scholar.google.com/citations?user=VcygHO0AAAAJ&hl=en Igor Rivin's Google Scholar profile] {{Webarchive|url=https://web.archive.org/web/20161025060935/http://scholar.google.com/citations?user=VcygHO0AAAAJ&hl=en |date=2016-10-25 }}
- [https://mathoverflow.net/users/11142/igor-rivin Igor Rivin at Math Overflow]
- {{MathGenealogy|id=62757}}
- [https://cci30.com Cryptocurrencies Index 30]
{{Authority control}}
{{DEFAULTSORT:Rivin, Igor}}
Category:Canadian mathematicians
Category:Jewish American scientists
Category:University of Toronto alumni
Category:20th-century American mathematicians
Category:21st-century American mathematicians