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Igor Rivin

January 01, 1970

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 is doing research for Edgestream LP, in addition to his academic work.

Career edit

He received his B.Sc. (Hon) in mathematics from the University of Toronto in 1981, and his Ph.D. in 1986[1] 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.

Major accomplishments edit

Rivin's PhD thesis[1][2] and a series of extensions[3][4][5] 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,[6] have been used in 3-manifold topology,[7] theoretical physics, computational geometry, and the recently developed field of discrete differential geometry.

Rivin has also made advances in counting geodesics on surfaces,[8] the study of generic elements of discrete subgroups of Lie groups,[9] and in the theory of dynamical systems.[10]

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),[11] 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.[12][13]

Honors edit

References edit

  1. ^ a b Rivin, Igor (1986). On geometry of convex polyhedra in hyperbolic 3-space (PhD thesis). Princeton University. MR 2635205.
  2. ^ Hodgson, C. D.; Rivin, I. (1993). "A characterization of compact convex polyhedra in hyperbolic 3-space". Inventiones Mathematicae. 111: 77–111. Bibcode:1993InMat.111...77H. doi:10.1007/BF01231281. S2CID 123418536.
  3. ^ Rivin, Igor (1994). "Euclidean Structures on Simplicial Surfaces and Hyperbolic Volume". Annals of Mathematics. 139 (3): 553–580. doi:10.2307/2118572. JSTOR 2118572. S2CID 120299702.
  4. ^ 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.
  5. ^ Rivin, I. (2003). "Combinatorial optimization in geometry". Advances in Applied Mathematics. 31: 242–271. arXiv:math/9907032. doi:10.1016/S0196-8858(03)00093-9. S2CID 119153365.
  6. ^ 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.
  7. ^ Futer, David; Guéritaud, François (2011). "From angled triangulations to hyperbolic structures". In Champanerkar, Abhijit; Dasbach, Oliver; Kalfagianni, Efstratia; Kofman, Ilya; Neumann, Walter David; Stoltzfus, Neal W. (eds.). Interactions Between Hyperbolic Geometry, Quantum Topology and Number Theory. Vol. 541. Providence (R.I.): American Mathematical Soc. pp. 159–182. arXiv:1004.0440. doi:10.1090/conm/541/10683. ISBN 978-0-8218-4960-6. MR 2796632.
  8. ^ Rivin, I. (2001). "Simple Curves on Surfaces". Geometriae Dedicata. 87: 345–360. arXiv:math/9907041. doi:10.1023/A:1012010721583. S2CID 17338586.
  9. ^ Rivin, I. (2008). "Walks on groups, counting reducible matrices, polynomials, and surface and free group automorphisms". Duke Mathematical Journal. 142 (2): 353–379. arXiv:math/0703532. doi:10.1215/00127094-2008-009. S2CID 10093564.
  10. ^ 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. S2CID 9510842.
  11. ^ "Cryptocurrency Index 30 - CCi30".
  12. ^ Ajaz, Taufeeq; Kumar, Anoop S. (2018-06-01). "Herding in crypto-currency markets". Annals of Financial Economics. 13 (2): 1850006. doi:10.1142/S2010495218500069. ISSN 2010-4952. S2CID 158488687.
  13. ^ Felix, Thomas Heine; von Eije, Henk (2019-04-03). "Underpricing in the cryptocurrency world: evidence from initial coin offerings" (PDF). Managerial Finance. 45 (4): 563–578. doi:10.1108/MF-06-2018-0281. ISSN 0307-4358. S2CID 159119639.
  14. ^ "List of LMS prize winners | London Mathematical Society".
  15. ^ . Archived from the original on 2012-07-19. Retrieved 2012-08-26.
  16. ^ List of Fellows of the American Mathematical Society, retrieved 2014-12-17

External links edit

  • Igor Rivin's author profile at MathSciNet
  • Igor Rivin's Google Scholar profile
  • Igor Rivin at Math Overflow
  • Igor Rivin at the Mathematics Genealogy Project
  • Official website

January 01, 1970
igor, rivin, born, 1961, moscow, ussr, russian, canadian, mathematician, working, various, fields, pure, applied, mathematics, computer, science, materials, science, regius, professor, mathematics, university, andrews, from, 2015, 2017, chief, research, office. 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 is doing research for Edgestream LP in addition to his academic work Igor RivinBorn1961 age 62 63 Moscow USSRNationalityCanadianAlma materPrinceton UniversityUniversity of TorontoKnown forInscribable polyhedraAwardsWhitehead Prize 1998 Scientific careerFieldsMathematics Computer Science Materials ScienceInstitutionsUniversity of St AndrewsTemple UniversityCaltechUniversity of WarwickInstitute for Advanced StudyInstitut des Hautes Etudes ScientifiquesDoctoral advisorWilliam ThurstonDoctoral studentsMichael DobbinsCareer editHe received his B Sc Hon in mathematics from the University of Toronto in 1981 and his Ph D in 1986 1 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 Etudes 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 Major accomplishments editRivin s PhD thesis 1 2 and a series of extensions 3 4 5 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 6 have been used in 3 manifold topology 7 theoretical physics computational geometry and the recently developed field of discrete differential geometry Rivin has also made advances in counting geodesics on surfaces 8 the study of generic elements of discrete subgroups of Lie groups 9 and in the theory of dynamical systems 10 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 11 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 12 13 Honors editFirst prize Canadian Mathematical Olympiad 1977 Whitehead prize of the London Mathematical Society 1998 14 Advanced Research Fellowship of the EPSRC 1998 Lady Davis Fellowship at the Hebrew University 2006 Berlin Mathematical School professorship 2011 15 Fellow of the American Mathematical Society 2014 16 References edit a b Rivin Igor 1986 On geometry of convex polyhedra in hyperbolic 3 space PhD thesis Princeton University MR 2635205 Hodgson C D Rivin I 1993 A characterization of compact convex polyhedra in hyperbolic 3 space Inventiones Mathematicae 111 77 111 Bibcode 1993InMat 111 77H doi 10 1007 BF01231281 S2CID 123418536 Rivin Igor 1994 Euclidean Structures on Simplicial Surfaces and Hyperbolic Volume Annals of Mathematics 139 3 553 580 doi 10 2307 2118572 JSTOR 2118572 S2CID 120299702 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 arXiv math 9907032 doi 10 1016 S0196 8858 03 00093 9 S2CID 119153365 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 Gueritaud Francois 2011 From angled triangulations to hyperbolic structures In Champanerkar Abhijit Dasbach Oliver Kalfagianni Efstratia Kofman Ilya Neumann Walter David Stoltzfus Neal W eds Interactions Between Hyperbolic Geometry Quantum Topology and Number Theory Vol 541 Providence R I American Mathematical Soc pp 159 182 arXiv 1004 0440 doi 10 1090 conm 541 10683 ISBN 978 0 8218 4960 6 MR 2796632 Rivin I 2001 Simple Curves on Surfaces Geometriae Dedicata 87 345 360 arXiv math 9907041 doi 10 1023 A 1012010721583 S2CID 17338586 Rivin I 2008 Walks on groups counting reducible matrices polynomials and surface and free group automorphisms Duke Mathematical Journal 142 2 353 379 arXiv math 0703532 doi 10 1215 00127094 2008 009 S2CID 10093564 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 S2CID 9510842 Cryptocurrency Index 30 CCi30 Ajaz Taufeeq Kumar Anoop S 2018 06 01 Herding in crypto currency markets Annals of Financial Economics 13 2 1850006 doi 10 1142 S2010495218500069 ISSN 2010 4952 S2CID 158488687 Felix Thomas Heine von Eije Henk 2019 04 03 Underpricing in the cryptocurrency world evidence from initial coin offerings PDF Managerial Finance 45 4 563 578 doi 10 1108 MF 06 2018 0281 ISSN 0307 4358 S2CID 159119639 List of LMS prize winners London Mathematical Society Berlin Mathematical School Guests Archived from the original on 2012 07 19 Retrieved 2012 08 26 List of Fellows of the American Mathematical Society retrieved 2014 12 17External links editIgor Rivin s author profile at MathSciNet Igor Rivin s Google Scholar profile Igor Rivin at Math Overflow Igor Rivin at the Mathematics Genealogy Project Official website Retrieved from https en wikipedia org w index php title Igor Rivin amp oldid 1212586488, wikipedia, wiki, book, books, library,

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