|Alma mater||Princeton University|
University of Toronto
|Known for||Inscribable polyhedra|
|Awards||Whitehead Prize (1998)|
|Fields||Mathematics, Computer Science, Materials Science|
|Institutions||University of St. Andrews|
University of Warwick
Institute for Advanced Study
Institut des Hautes Études Scientifiques
|Doctoral advisor||William Thurston|
|Doctoral students||Jean-Christophe Curtillet|
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 is currently the Chief Research Officer at Cryptos Fund.
He received his B.Sc (Hon) in Mathematics from the University of Toronto in 1981, and his Ph.D in 1986 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. In 2015, he was appointed Regius Professor of Mathematics at the University of St. Andrews.
Rivin's PhD thesis and a series of extensions 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, have been used in 3-manifold topology, theoretical physics, computational geometry, and the recently developed field of discrete differential geometry.
Rivin is a frequent contributor to MathOverflow.
Igor Rivin is the co-creator of CCi30, Cryptocurrencies Index 30, an index of the top 30 cryptocurrencies weighted by market capitalization. The index is sometimes used by academic economists as a market index when comparing the cryptocurrency trading market as a whole with individual currencies.
- First prize, Canadian Mathematical Olympiad, 1977
- Whitehead prize of the London Mathematical Society, 1998
- Advanced Research Fellowship of the EPSRC, 1998
- Lady Davis Fellowship at the Hebrew University, 2006
- Berlin Mathematical School Professorship, 2011.
- Fellow of the American Mathematical Society, 2014.
- Rivin, Igor (1986). "On geometry of convex polyhedra in hyperbolic 3-space". MR 2635205
- Hodgson, C. D.; Rivin, I. (1993). "A characterization of compact convex polyhedra in hyperbolic 3-space". Inventiones Mathematicae. 111: 77. Bibcode:1993InMat.111...77H. doi:10.1007/BF01231281.
- Rivin, Igor (1994). "Euclidean Structures on Simplicial Surfaces and Hyperbolic Volume". Annals of Mathematics. 139 (3): 553–580. doi:10.2307/2118572. JSTOR 2118572.
- Rivin, Igor (1996). "A Characterization of Ideal Polyhedra in Hyperbolic 3-Space". Annals of Mathematics. 143 (1): 51–70. doi:10.2307/2118652. JSTOR 2118652.
- Rivin, I. (2003). "Combinatorial optimization in geometry". Advances in Applied Mathematics. 31: 242–271. doi:10.1016/S0196-8858(03)00093-9.
- Rivin, I. (2009). "Asymptotics of convex sets in Euclidean and hyperbolic spaces". Advances in Mathematics. 220 (4): 1297–2013. doi:10.1016/j.aim.2008.11.014.
- Futer, David; Guéritaud, François (2011), "From angled triangulations to hyperbolic structures", Interactions between hyperbolic geometry, quantum topology and number theory, Contemporary Mathematics, 541, Providence, RI: American Mathematical Society, pp. 159–182, arXiv:1004.0440, doi:10.1090/conm/541/10683, MR 2796632
- Rivin, I. (2001). "Simple Curves on Surfaces". Geometriae Dedicata. 87: 345–360. arXiv:math/9907041. doi:10.1023/A:1012010721583.
- Rivin, I. (2008). "Walks on groups, counting reducible matrices, polynomials, and surface and free group automorphisms". Duke Mathematical Journal. 142 (2): 353. arXiv:math/0703532. doi:10.1215/00127094-2008-009.
- Rivin, I. (2005). "On Some Mean Matrix Inequalites of Dynamical Interest". Communications in Mathematical Physics. 254 (3): 651–658. Bibcode:2005CMaPh.254..651R. doi:10.1007/s00220-004-1282-5.
- "Cryptocurrency Index 30 - CCi30".
- Ajaz, Taufeeq; Kumar, Anoop S. (2018-06-01). "Herding in crypto-currency markets". Annals of Financial Economics. 13 (02): 1850006. doi:10.1142/S2010495218500069. ISSN 2010-4952.
- Felix, Thomas Heine; von Eije, Henk (2019-04-03). "Underpricing in the cryptocurrency world: evidence from initial coin offerings". Managerial Finance. 45 (4): 563–578. doi:10.1108/MF-06-2018-0281. ISSN 0307-4358.
- List of Fellows of the American Mathematical Society, retrieved 2014-12-17