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★★★★★

☆☆☆☆☆

★★★★★

☆☆☆☆☆

Dr. Igor R.に依頼

United States

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

プロフィール概要

専門分野

サービス

Writing
Research
Consulting
Data & AI
Product Development

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

職務経験

Research Scientist

Edgestream LP

1月 2020 - 現在

Professor of Mathematics

Temple University

7月 1999 - 現在

Founder/ Managing Director

Meteque Holdings, LLc

5月 2004 - 1月 2019

Head of Strategy development

Accern Inc

6月 2017 - 1月 2018

Regius Professor of Mathematics

University of St Andrews

6月 2015 - 6月 2017

Member

Institute for advanced Study, Princeton

7月 2013 - 7月 2014

BMS professor

Berlin Mathematics School

9月 2011 - 1月 2012

Visiting Professor of Mathematics

Stanford University

1月 2007 - 1月 2008

Visiting Professor

University of Chicago

6月 2006 - 12月 2006

Postdoctoral Fellow

Caltech

6月 1995 - 6月 1998

Warwick Research Fellow

Warwick University

7月 1995 - 1月 1998

Director of Advanced Development

Wolfram Research

1月 1989 - 3月 1991

学歴

Ph.D. Mathematrics

Princeton University

9月 1981 - 6月 1986

B.Sc. Hons

University of Toronto

9月 1977 - 9月 1981

認定資格

Investment management with python and machine learning

EDHEC//Coursera
https://coursera.org/share/b4539d5bf576749027c414f2a475819d
12月 2020 - 現在
Machine learning on Google Cloud

Google/Coursera
https://coursera.org/share/4953eb90f3de3170fe280c4a1cf25cb1
6月 2018 - 現在
Deep Learning

deeplearning.ai
https://coursera.org/share/befaeec61f33da44ebe4255514d9f12e
4月 2018 - 現在

出版物

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). Microsoft.AspNetCore.Mvc.Localization.LocalizedHtmlString 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 $̊m SL_2(Z)/pZ$.

Rivin, Igor and Sardari, Naser T(2017). Quantum Chaos on Random Cayley Graphs of. Experimental Mathematics. Microsoft.AspNetCore.Mvc.Localization.LocalizedHtmlString 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. Microsoft.AspNetCore.Mvc.Localization.LocalizedHtmlString rnw136. Oxford University Press

Rivin, Igor(2016). Spectral experiments+. Experimental Mathematics. 25. (4). Microsoft.AspNetCore.Mvc.Localization.LocalizedHtmlString 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). Microsoft.AspNetCore.Mvc.Localization.LocalizedHtmlString 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). Microsoft.AspNetCore.Mvc.Localization.LocalizedHtmlString 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). Microsoft.AspNetCore.Mvc.Localization.LocalizedHtmlString 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). Microsoft.AspNetCore.Mvc.Localization.LocalizedHtmlString 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). Microsoft.AspNetCore.Mvc.Localization.LocalizedHtmlString 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). Microsoft.AspNetCore.Mvc.Localization.LocalizedHtmlString 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). Microsoft.AspNetCore.Mvc.Localization.LocalizedHtmlString 164304. APS

(2011). Rigidity of Fibering.

(2010). On extension of coverings . Bulletin of the London Mathematical Society. Microsoft.AspNetCore.Mvc.Localization.LocalizedHtmlString bdq068. Oxford University Press

(2010). Walks on Free Groups and other Stories -- twelve years later. Illinois Journal of Mathematics. Microsoft.AspNetCore.Mvc.Localization.LocalizedHtmlString 327--370.

Mohar, Bojan and Rivin, Igor(2010). Simplices and spectra of graphs. Discrete & Computational Geometry. 43. (3). Microsoft.AspNetCore.Mvc.Localization.LocalizedHtmlString 516--521. Springer

Rivin, Igor(2010). Zariski density and genericity. International Mathematics Research Notices. Microsoft.AspNetCore.Mvc.Localization.LocalizedHtmlString 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). Microsoft.AspNetCore.Mvc.Localization.LocalizedHtmlString 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). Microsoft.AspNetCore.Mvc.Localization.LocalizedHtmlString 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). Microsoft.AspNetCore.Mvc.Localization.LocalizedHtmlString 3659--3670. Elsevier

Rivin, Igor(2008). Volumes of degenerating polyhedra—on a conjecture of J. W. Milnor. Geometriae Dedicata. 131. (1). Microsoft.AspNetCore.Mvc.Localization.LocalizedHtmlString 73--85. Springer

Rivin, Igor(2007). Surface area and other measures of ellipsoids. Advances in Applied Mathematics. 39. (4). Microsoft.AspNetCore.Mvc.Localization.LocalizedHtmlString 409--427. Elsevier

Rivin, Igor(2006). Geometric simulations: a lesson from virtual zeolites. Nature materials. 5. (12). Microsoft.AspNetCore.Mvc.Localization.LocalizedHtmlString 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). Microsoft.AspNetCore.Mvc.Localization.LocalizedHtmlString 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). Microsoft.AspNetCore.Mvc.Localization.LocalizedHtmlString 651--658. Springer

Rivin, Igor(2005). Symmetrized chebyshev polynomials. Proceedings of the American Mathematical Society. 133. (5). Microsoft.AspNetCore.Mvc.Localization.LocalizedHtmlString 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). Microsoft.AspNetCore.Mvc.Localization.LocalizedHtmlString 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). Microsoft.AspNetCore.Mvc.Localization.LocalizedHtmlString 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). Microsoft.AspNetCore.Mvc.Localization.LocalizedHtmlString 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). Microsoft.AspNetCore.Mvc.Localization.LocalizedHtmlString 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). Microsoft.AspNetCore.Mvc.Localization.LocalizedHtmlString 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). Microsoft.AspNetCore.Mvc.Localization.LocalizedHtmlString 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). Microsoft.AspNetCore.Mvc.Localization.LocalizedHtmlString 671--671. JSTOR

Almgren Jr, Frederic J and Rivin, Igor(1998). The mean curvature integral is invariant under bending. Geometry and Topology Monographs. 1. Microsoft.AspNetCore.Mvc.Localization.LocalizedHtmlString 1--21.

Rivin, Igor(1996). A characterization of ideal polyhedra in hyperbolic 3-space. Annals of mathematics. 143. (1). Microsoft.AspNetCore.Mvc.Localization.LocalizedHtmlString 51--70. JSTOR

Cooper, Daryl and Rivin, Igor(1996). Combinatorial scalar curvature and rigidity of ball packings. Mathematical Research Letters. 3. Microsoft.AspNetCore.Mvc.Localization.LocalizedHtmlString 51--60. Citeseer

McShane, Greg and Rivin, Igor(1995). Geometry of geodesics and a norm on homology. International Mathematics Research Notices. 2. Microsoft.AspNetCore.Mvc.Localization.LocalizedHtmlString 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). Microsoft.AspNetCore.Mvc.Localization.LocalizedHtmlString 553--554. JSTOR

Rivin, Igor(1994). Euclidean structures on simplicial surfaces and hyperbolic volume. Annals of Mathematics. 139. (3). Microsoft.AspNetCore.Mvc.Localization.LocalizedHtmlString 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). Microsoft.AspNetCore.Mvc.Localization.LocalizedHtmlString 629--639. JSTOR

Rivin, Igor(1994). Intrinsic geometry of convex ideal polyhedra in hyperbolic 3-space. LECTURE NOTES IN PURE AND APPLIED MATHEMATICS. Microsoft.AspNetCore.Mvc.Localization.LocalizedHtmlString 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). Microsoft.AspNetCore.Mvc.Localization.LocalizedHtmlString 77--111. Springer

Rivin, Igor(1993). On geometry of convex ideal polyhedra in hyperbolic 3-space. Topology. 32. (1). Microsoft.AspNetCore.Mvc.Localization.LocalizedHtmlString 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). Microsoft.AspNetCore.Mvc.Localization.LocalizedHtmlString 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.). Microsoft.AspNetCore.Mvc.Localization.LocalizedHtmlString 381--388.

Rivin, Igor and Zabih, Ramin(1992). A dynamic programming solution to the N-queens problem. Information Processing Letters. 41. (5). Microsoft.AspNetCore.Mvc.Localization.LocalizedHtmlString 253--256. Elsevier

Lyuu, Yuh-Dauh and Rivin, Igor(1992). Tight bounds on transition to perfect generalization in perceptrons. Neural Computation. 4. (6). Microsoft.AspNetCore.Mvc.Localization.LocalizedHtmlString 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). Microsoft.AspNetCore.Mvc.Localization.LocalizedHtmlString 478--484. Oxford University Press

Rivin, Igor and Zabih, Ramin(1989). An Algebraic Approach to Constraint Satisfaction Problems. IJCAI. 89. Microsoft.AspNetCore.Mvc.Localization.LocalizedHtmlString 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. Microsoft.AspNetCore.Mvc.Localization.LocalizedHtmlString 455--474. Springer

Pemantle, Robin and Rivin, Igor(2013). The distribution of zeros of the derivative of a random polynomial. Advances in Combinatorics. Microsoft.AspNetCore.Mvc.Localization.LocalizedHtmlString 259--273. Springer

Alam, Ashraful and Rivin, Igor and Streinu, Ileana(2012). Outerplanar graphs and Delaunay triangulations. Computation, Physics and Beyond. Microsoft.AspNetCore.Mvc.Localization.LocalizedHtmlString 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. Microsoft.AspNetCore.Mvc.Localization.LocalizedHtmlString 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. Microsoft.AspNetCore.Mvc.Localization.LocalizedHtmlString 317--327. Springer

CONFERENCE PAPER

Rivin, Igor(2009). Walks on graphs and lattices--effective bounds and applications. Forum Mathematicum. 21. (4). Microsoft.AspNetCore.Mvc.Localization.LocalizedHtmlString 673--685.

Rivin, Igor(2004). Some properties of the conjugacy class growth function. Group theory, statistics, and cryptography. Microsoft.AspNetCore.Mvc.Localization.LocalizedHtmlString 113--117.

Rivin, Igor and Chakradhar, Srimat T(1994). Discrete test generation by continuous methods. VLSI Test Symposium, 1994. Proceedings., 12th IEEE. Microsoft.AspNetCore.Mvc.Localization.LocalizedHtmlString 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.

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