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USD 250 /hr
Hire Dr. Igor R.
United States
USD 250 /hr

World renowned mathematician, working in multiple fields of mathematics, science and finance

Profile Summary
Subject Matter Expertise
Services
Writing Technical Writing, Copywriting, Newswriting
Research Market Research, User Research, Meta-Research, Fact Checking, Gap Analysis, Systematic Literature Review
Consulting Scientific and Technical Consulting
Data & AI Predictive Modeling, Statistical Analysis, Algorithm Design-Non ML, Data Visualization, Big Data Analytics, Data Processing, Data Insights
Product Development Formulation, Product Evaluation, Concept Development, Prototyping
Work Experience

Research Scientist

Edgestream LP

January 2020 - Present

Professor of Mathematics

Temple University

July 1999 - Present

Founder/ Managing Director

Meteque Holdings, LLc

May 2004 - January 2019

Head of Strategy development

Accern Inc

June 2017 - January 2018

Regius Professor of Mathematics

University of St Andrews

June 2015 - June 2017

Member

Institute for advanced Study, Princeton

July 2013 - July 2014

BMS professor

Berlin Mathematics School

September 2011 - January 2012

Visiting Professor of Mathematics

Stanford University

January 2007 - January 2008

Visiting Professor

University of Chicago

June 2006 - December 2006

Postdoctoral Fellow

Caltech

June 1995 - June 1998

Warwick Research Fellow

Warwick University

July 1995 - January 1998

Director of Advanced Development

Wolfram Research

January 1989 - March 1991

Education

Ph.D. Mathematrics

Princeton University

September 1981 - June 1986

B.Sc. Hons

University of Toronto

September 1977 - September 1981

Certifications
Publications
JOURNAL ARTICLE
(2021). Betti Curves of Rank One Symmetric Matrices.
Rivin, Igor(2021). A Bayesian addendum to the Bibliometric Analysis of Senior US Mathematics Faculty. Available at SSRN 3925126.
Paik, Joshua and Rivin, Igor(2020). Data Analysis of the Responses to Professor Abigail Thompson's Statement on Mandatory Diversity Statements. arXiv preprint arXiv:2001.00670.
Paik, Joshua and Rivin, Igor(2020). Bibliometric Analysis of Senior US Mathematics Faculty. arXiv preprint arXiv:2008.11196.
Rivin, Igor and Sardari, Naser T(2019). Quantum Chaos on Random Cayley Graphs of SL 2 [Z/p Z]. Experimental Mathematics. 28. (3). p. 328--341. Taylor \& Francis
Rivin, Igor(2019). Experiments with the census.
Rivin, Igor(2019). Random Graphs from Random Matrices. arXiv preprint arXiv:1910.08253.
Rivin, Igor(2019). Adventures in Financial Time Series.
Rivin, Igor(2018). The end of the West - a Prologue.
(2018). An analysis of a war.
(2018). What is the Sharpe Ratio, and how can everyone get it wrong?.
Rivin, Igor(2018). Fear Universality and Doubt in Asset price movements.
(2017). Quantum Chaos on random Cayley graphs of $ÌŠm SL_2(Z)/pZ$.
Rivin, Igor and Sardari, Naser T(2017). Quantum Chaos on Random Cayley Graphs of. Experimental Mathematics. p. 1--14. Taylor \& Francis
Fuchs, Elena and Rivin, Igor(2016). Generic thinness in finitely generated subgroups of SL(n, Z). arXiv preprint arXiv:1506.01735. p. rnw136. Oxford University Press
Rivin, Igor(2016). Spectral experiments+. Experimental Mathematics. 25. (4). p. 379--388. Taylor \& Francis
(2016). Random space and plane curves.
Rivin, Igor(2016). How to pick a random integer matrix?(and other questions). Mathematics of Computation. 85. (298). p. 783--797.
Pemantle, Robin and Peres, Yuval and Rivin, Igor(2015). Four random permutations conjugated by an adversary generate Sn with high probability. Random Structures & Algorithms. Wiley Article Library
(2015). Galois Groups of Generic Polynomials.
(2015). Some experiments on Bateman-Horn.
Rivin, Igor(2014). Generic phenomena in groups: some answers and many questions. Thin groups and superstrong approximation. (61). p. 299--323.
(2014). Statistics of Random 3-Manifolds occasionally fibering over the circle.
(2014). On Basmajian's identities, and other stories.
(2014). Topological Designs . Geometriae Dedicata. 168. (1). p. 221--233. Springer
Treacy, MMJ and Dawson, CJ and Kapko, V and Rivin, I(2014). Flexibility mechanisms in ideal zeolite frameworks. Philosophical Transactions of the Royal Society of London A: Mathematical, Physical and Engineering Sciences. 372. (2008). p. 20120036. The Royal Society
Rivin, Igor(2014). Some Thoughts on the Teaching of Mathematics—Ten Years Later. Notices of the American Mathematical Society. 61. (6). p. 597--602. American Mathematical Society, AMS
(2013). Large Galois groups with applications to Zariski density.
Rivin, Igor(2012). Geodesics with one self-intersection, and other stories. Advances in Mathematics. 231. (5). p. 2391--2412. Elsevier
Kapko, V and Dawson, C and Rivin, I and Treacy, MMJ(2011). Density of mechanisms within the flexibility window of zeolites. Physical review letters. 107. (16). p. 164304. APS
(2011). Rigidity of Fibering.
(2010). On extension of coverings . Bulletin of the London Mathematical Society. p. bdq068. Oxford University Press
(2010). Walks on Free Groups and other Stories -- twelve years later. Illinois Journal of Mathematics. p. 327--370.
Mohar, Bojan and Rivin, Igor(2010). Simplices and spectra of graphs. Discrete & Computational Geometry. 43. (3). p. 516--521. Springer
Rivin, Igor(2010). Zariski density and genericity. International Mathematics Research Notices. p. rnq043. Oxford University Press
(2010). Golden-Thompson from Davis.
Rivin, Igor(2009). Asymptotics of convex sets in Euclidean and hyperbolic spaces. Advances in Mathematics. 220. (4). p. 1297--1315. Elsevier
Rivin, Igor and others(2008). Walks on groups, counting reducible matrices, polynomials, and surface and free group automorphisms. Duke Mathematical Journal. 142. (2). p. 353--379. Duke University Press
Kapovich, Ilya and Rivin, Igor(2008). On the absence of McShane-type identities for the outer space. Journal of Algebra. 320. (10). p. 3659--3670. Elsevier
Rivin, Igor(2008). Volumes of degenerating polyhedra—on a conjecture of J. W. Milnor. Geometriae Dedicata. 131. (1). p. 73--85. Springer
Rivin, Igor and others(2008). Walks on groups, counting reducible matrices, polynomials, and surface and free group automorphisms. Duke Mathematical Journal. 142. (2). p. 353--379. Duke University Press
Rivin, Igor(2007). Surface area and other measures of ellipsoids. Advances in Applied Mathematics. 39. (4). p. 409--427. Elsevier
Rivin, Igor(2006). Geometric simulations: a lesson from virtual zeolites. Nature materials. 5. (12). p. 931--932. Nature Publishing Group
Foster, MD and Rivin, I and Treacy, MMJ and Friedrichs, O Delgado(2006). A geometric solution to the largest-free-sphere problem in zeolite frameworks. Microporous and mesoporous materials. 90. (1). p. 32--38. Elsevier
(2005). A simpler proof of Mirzakhani's simple curve asymptotics .
(2005). Extra-large metrics.
Rivin, Igor(2005). On some mean matrix inequalites of dynamical interest. Communications in mathematical physics. 254. (3). p. 651--658. Springer
Rivin, Igor(2005). Symmetrized chebyshev polynomials. Proceedings of the American Mathematical Society. 133. (5). p. 1299--1305.
(2005). Triangulations into Groups.
Kapovich, Ilya and Rivin, Igor and Schupp, Paul and Schpilrain, V(2005). Asymptotic density in free groups and Z k, visible points and test elements. arXiv preprint math.GR/0507573. Citeseer
Foster, MD and Treacy, MMJ and Higgins, JB and Rivin, I and Balkovsky, E and Randall, KH(2005). A systematic topological search for the framework of ZSM-10. Journal of applied crystallography. 38. (6). p. 1028--1030. International Union of Crystallography
Rivin, Igor(2004). A Remark on'Counting Primitive Elements in Free Groups'(By J. Burillo and E. Ventura). Geometriae Dedicata. 107. (1). p. 99--100. Springer
Treacy, MMJ and Rivin, Igor and Balkovsky, E and Randall, KH and Foster, MD(2004). Enumeration of periodic tetrahedral frameworks. II. Polynodal graphs. Microporous and Mesoporous Materials. 74. (1). p. 121--132. Elsevier
(2004). Estimates and identities for the average distortion of a linear transformation.
(2003). An inequality on Chebyshev polynomials.
(2003). Spheres and Minima.
(2003). Surface Area of Ellipsoids.
(2003). Simple estimates for ellipsoid measures.
(2003). A property of alternating groups.
(2003). Differentiability of functions of matrices.
(2003). Harmonic mean, random polynomials and stochastic matrices.
Rivin, Igor(2003). Some observations on the simplex. Non-Euclidean Geometries: Janos Bolyai Memorial Volume. Citeseer
(2003). An extended correction to ``Combinatorial Scalar Curvature and Rigidity of Ball Packings,'' (by D. Cooper and I. Rivin).
Rivin, Igor(2003). Combinatorial optimization in geometry. Advances in Applied Mathematics. 31. (1). p. 242--271. Elsevier
(2002). Another Simple Proof of a Theorem of Chandler Davis.
(2002). Counting cycles and finite dimensional $L^p$ norms.
(2002). The amplitude modulation transform.
(2002). The performance of the batch learner algorithm.
(2002). A multidimensional Law of Sines.
(2001). Harmonic mean, random polynomials and stochastic matrices.
(2001). Yet another zeta function and learning.
(2001). Mathematics of learning.
Rivin, Igor(2001). Simple curves on surfaces. Geometriae Dedicata. 87. (1-3). p. 345--360. Springer
McShane, Greg and Rivin, Igor(2000). Simple curves on hyperbolic tori. arXiv preprint math/0005220.
Jakobson, Dmitry and Rivin, Igor(2000). Extremal metrics on graphs I. arXiv preprint math/0001169.
Rivin, Igor and Schlenker, Jean-Marc(2000). On the Schlafli differential formula. arXiv preprint math/0001176.
Rivin, Igor and Schlenker, Jean-Marc(1999). The Schläfli formula in Einstein manifolds with boundary. Electronic Research Announcements of the American Mathematical Society. 5. (3). p. 18--23.
Rivin, Igor and Schlenker, Jean-Marc(1999). The Schläfli formula in Einstein manifolds with boundary. Electronic Research Announcements of the American Mathematical Society. 5. (3). p. 18--23.
Rivin, Igor(1999). Growth in free groups (and other stories). arXiv preprint math/9911076.
Jakobson, Dmitry and Rivin, Igor(1999). On some extremal problems in graph theory. arXiv preprint math/9907050.
Rivin, Igor and Lindsey, John H(1998). A similarity criterion: 10462. The American Mathematical Monthly. 105. (7). p. 671--671. JSTOR
Almgren Jr, Frederic J and Rivin, Igor(1998). The mean curvature integral is invariant under bending. Geometry and Topology Monographs. 1. p. 1--21.
Rivin, Igor(1996). A characterization of ideal polyhedra in hyperbolic 3-space. Annals of mathematics. 143. (1). p. 51--70. JSTOR
Cooper, Daryl and Rivin, Igor(1996). Combinatorial scalar curvature and rigidity of ball packings. Mathematical Research Letters. 3. p. 51--60. Citeseer
McShane, Greg and Rivin, Igor(1995). Geometry of geodesics and a norm on homology. International Mathematics Research Notices. 2. p. 61--69.
Beckwith, David and Klove, Torleiv and Hershkorn, Stephen J and Rivin, Igor and Cater, FS and Gauchman, Hillel and Rubel, Lee A and Stockmeyer, Paul K(1995). Problems: 10459-10465. The American Mathematical Monthly. 102. (6). p. 553--554. JSTOR
Rivin, Igor(1994). Euclidean structures on simplicial surfaces and hyperbolic volume. Annals of Mathematics. 139. (3). p. 553--580. JSTOR
Rivin, Igor and Srimat Chakradhar(1994). Testing VLSI circuits for defects.
Rivin, Igor and Vardi, Ilan and Zimmerman, Paul(1994). The n-queens problem. The American Mathematical Monthly. 101. (7). p. 629--639. JSTOR
Rivin, Igor(1994). Intrinsic geometry of convex ideal polyhedra in hyperbolic 3-space. LECTURE NOTES IN PURE AND APPLIED MATHEMATICS. p. 275--275. MARCEL DEKKER AG
Rivin, Igor and Hodgson, Craig D(1993). A characterization of compact convex polyhedra in hyperbolic 3-space. Inventiones mathematicae. 111. (1). p. 77--111. Springer
Rivin, Igor(1993). On geometry of convex ideal polyhedra in hyperbolic 3-space. Topology. 32. (1). p. 87--92. Elsevier
Hodgson, Craig D and Rivin, Igor and Smith, Warren D(1992). A characterization of convex hyperbolic polyhedra and of convex polyhedra inscribed in the sphere. Bulletin of the American Mathematical Society. 27. (2). p. 246--251.
Treacy, MMJ and Rao, S and Rivin, I(1992). A combinatorial method for generating new zeolite frameworks. R. von Ballmoos, JB Higgins, MMJ Treacy (Eds.). p. 381--388.
Rivin, Igor and Zabih, Ramin(1992). A dynamic programming solution to the N-queens problem. Information Processing Letters. 41. (5). p. 253--256. Elsevier
Lyuu, Yuh-Dauh and Rivin, Igor(1992). Tight bounds on transition to perfect generalization in perceptrons. Neural Computation. 4. (6). p. 854--862. MIT Press
Grinberg, Eric L and Rivin, Igor(1990). Infinitesimal aspects of the Busemann-Petty problem. Bulletin of the London Mathematical Society. 22. (5). p. 478--484. Oxford University Press
Rivin, Igor and Zabih, Ramin(1989). An Algebraic Approach to Constraint Satisfaction Problems. IJCAI. 89. p. 1989--284.
An Investable Cryptocurrency Index.
BOOK CHAPTER
Bassino, Fr{\'e}d{\'e}rique and Kapovich, Ilya and Lohrey, Markus and Miasnikov, Alexei and Nicaud, Cyril and Nikolaev, Andrey and Rivin, Igor and Shpilrain, Vladimir and Ushakov, Alexander and Weil, Pascal(2020). Complexity and Randomness in Group Theory: GAGTA BOOK 1. Complexity and Randomness in Group Theory. De Gruyter
Rivin, Igor(2013). The moment zeta function and applications. From Fourier Analysis and Number Theory to Radon Transforms and Geometry. p. 455--474. Springer
Pemantle, Robin and Rivin, Igor(2013). The distribution of zeros of the derivative of a random polynomial. Advances in Combinatorics. p. 259--273. Springer
Alam, Ashraful and Rivin, Igor and Streinu, Ileana(2012). Outerplanar graphs and Delaunay triangulations. Computation, Physics and Beyond. p. 320--329. Springer
Treacy, MMJ and Foster, MD and Rivin, I(2007). Towards a Catalogue of Designer Zeolites. Turning Points in Solid-State, Materials and Surface Science. p. 208--220.
Jakobson, Dmitry and Miller, Stephen D and Rivin, Igor and Rudnick, Ze{\'e}v(1999). Eigenvalue spacings for regular graphs. Emerging Applications of Number Theory. p. 317--327. Springer
Jakobson, Dmitry and Miller, Stephen D and Rivin, Igor and Rudnick, Ze{\'e}v(1999). Eigenvalue spacings for regular graphs. Emerging Applications of Number Theory. p. 317--327. Springer
CONFERENCE PAPER
Rivin, Igor(2009). Walks on graphs and lattices--effective bounds and applications. Forum Mathematicum. 21. (4). p. 673--685.
Rivin, Igor(2009). Walks on graphs and lattices--effective bounds and applications. Forum Mathematicum. 21. (4). p. 673--685.
Rivin, Igor(2004). Some properties of the conjugacy class growth function. Group theory, statistics, and cryptography. p. 113--117.
Rivin, Igor and Chakradhar, Srimat T(1994). Discrete test generation by continuous methods. VLSI Test Symposium, 1994. Proceedings., 12th IEEE. p. 100--105.
BOOK
Rivin, Igor and Epstein, David BA(1998). The Epstein birthday schrift: papers dedicated to David Epstein on the occasion of his 60th birthday, 16 May 1997. Geometry and Topology Publ., Math. Inst., University of Warwick
REPORT
Rabinov, Arkady and Rivin, Igor(1989). Programming in Qlisp: A Case Study.
Rivin, Igor(1987). Customizing the Definite Integrator, Part II. Macsyma Newsletter.
Rivin, Igor(1986). Customizing the Definite Integrator, Part I. Macsyma Newsletter.