Igor Rivin

Temple UniversityMathematics DepartmentWachman Hall1805 North Broad StPhiladelphia, PA 19122(609) 933-3301rivin@temple.edu

http://www.math.temple.edu/˜rivin/

26 Exeter CtPrinceton, NJ 08540

(609) 520-0391

Geometry of polyhedra, differential geometry, low dimensional topology, graph theory, com-ResearchInterests binatorics, probability theory, matrix analysis, asymptotics, symbolic computation, compu-

tational physical chemistry, computational biology, computational methods in mathematics,finance.

� Princeton University, Princeton, NJEducationPh.D. in Mathematics, September 1986.Doctoral Dissertation: Geometry of Polyhedra in Hyperbolic 3-space,William P. Thurston, advisor.M.Sc. in Mathematics, September 1982.

� University of Toronto, Canada.B.Sc (Hon), with distinction in Mathematics, September 1981.

� Fellow of the American Mathematical Society, from 2015.Honors andAwards � ICERM Visiting Professorship, Brown University and ICERM

� Temple University College of Science and Technology Dean’s Award for Excel-lence in Research, 2012

� Berlin Mathematical School Professor, Berlin, 2011-2012

� Member, School of Mathematics, Institute for Advanced Study, 2010-2011

� Lady Davis Fellow, Hebrew University, Jerusalem 2005-2006.

� Distinguished Scholar, Mathematics Department, Temple University, 2005-2006.

� EPSRC College Member Jan 2003-Dec 2006.

� Plenary Speaker, Janos Bolyai 200th anniversary celebration, 2002.

� Advanced Research Fellowship, Engineering and Physical Sciences Research Council,The United Kingdom, 1998

� Junior Whitehead Prize, London Mathematical Society, 1998

� Plenary Address, Nordic Mathematics Congress, Lulea, Sweden, 1992.

� Doctoral Fellowship, Natural Sciences and Engineering Research Council of Canada,1983.

� University Fellowship, Princeton University, 1981

� First Prize, Canadian Mathemartics Olympiad, 1977

� ICERM Visiting Professor, Brown University, 2013-2014workexperience � Berlin Mathematical Society Professor, TU-Berlin, 2011-2012

Igor Rivin

� Member, School of Mathematics, Institute for Advanced Study, 2010-2011

� Distinguished Visitor, University of Chicago, 2010

� Distinguished Visitor, Stanford University, 2009-2010

� Visiting Professor, Stanford University, Winter and Spring 2007

� Founder and Managing Director, Meteque Holdings, LLC 2006-present

� Lady Davis Fellow, Hebrew University, Jerusalem, 2006

� Visiting Fellow, Princeton University, July 2005-June 2006.

� Professor of Mathematics, Temple University (July 1999 – present)Courses taught: Advanced Algorithms (Computer Science Core Course), Quantum Com-putation, Advanced Problem Solving, Mathematics and Computation, various Calculuscourses.

� EPSRC Advanced Research Fellow with Rank of Reader, Department of Mathe-matics, University of Manchester, UK January 1999-July 2000

� Warwick Research Fellow, Warwick University, Coventry, UK (July 1995-December1998)

� Olga Tausski-John Todd Instructor, California Institute of Technology, Pasadena, CA(September 1995-September 1998)

� Research fellow, University of Melbourne, Victoria, Australia (September 1994 – Septem-ber 1995).

� Member. Institute for Advanced Study, Princeton, NJ (September 1993-August 1994)

� Consultant, NEC Research Institute, Princeton, NJ (February 1991-August 1993)

� Director of Advanced Development, Wolfram Research Inc (January 1990-January1991).

� Manager of Algorithm Development, Wolfram Research Inc (June 1989-December1990).

� Member of Technical Staff, Wolfram Research Inc (January 1989-February 1989)

� Research Associate; Application director of the QLISP project, Computer ScienceDepartment, Stanford University (January 1987-December 1988)

� Member of Technical Staff, Symbolics Inc (MACSYMA Group), (June 1986-December1986)

� Consultant, Los Alamos National Laboratory (January 1986-June 1986)

� Member, Institut des Hautes Etudes Scientifiques, Paris (September 1985-June 1986)

� Consultant, Symbolics Inc (MACSYMA Group) (June 1983-September 1985).

� ICERM Visiting Professor, Brown University, 2013-2014VisitingPositions � Berlin Mathematical Society Professor, TU-Berlin, 2011-2012

� Member, School of Mathematics, Institute for Advanced Study, 2010-2011

� Distinguished Visitor, University of Chicago, 2010

� Distinguished Visitor, Stanford University, 2009-2010

� Visiting Professor, Stanford University, Spring 2007

� Visiting Professor, University of Chicago, Fall 2006

� Lady Davis Fellow, Hebrew University, Jerusalem. May 2006-August 2006

� Distinguished Visitor, Universite Paul Sabatier, Toulouse, January 2004.

� Visiting Researcher, Microsoft Research, September 2001

Igor Rivin

� Maıtre des Recherches, Ecole Polytechnique, Palaiseau, France (October-December 1999)

� Distinguished Visitor Federal University of Ceara, Fortaleza, Brazil (January 1999)

� Visiting Professor, Universite Paris-Sud, Orsay (June 1999)

� Visiting Professor, CWI, Amsterdam (February 1999)

� Visiting Research Professor, Ecole Polytechnique, Palaiseau (November 1998)

� Visiting Professor, IHES, Paris (March 1998, August-September 1997)

� Distinguished Visitor, Universite de Rennes, I (June 1997)

� Chercheur Associe CNRS, ENS de Lyon (Spring 1996)

� Visiting Professor, Centre Emil Borel, Institut Henri Poincare, Special Semester in LowDimensional Topology and Hyperbolic Geometry, Spring 1996.

� Chercheur Associe CNRS, Universite Louis Pasteur, Strasbourg, France.

� Editor Experimental MathematicsService

� Editor, International Mathematics Research Notices

� Editor, Geometriae Dedicata

� Editor, Online Journal of Analytic Combinatorics.

� Editor, Advances in Applied Mathematics, 2004-2007

� MSRI Committee of Academic Sponsors.

� Organizer of the David Epstein 60th anniversary conference, 1997; Editor of the ConferenceProceedings Volume (both together with Caroline Series and Colin Rourke).

� Co-organizer of the ICMR Workhsop on Design and Synthesis of New Materials at Universityof California, Santa Barbara – August 2008.

� Organizer of the First Spring Convexity Day (Princeton University, March 2003).

� Reviewer for Math. Reviews (over 200 Reviews)

� Referee for Acta Mathematica, Annals of Mathematics, Inventiones Math., GAFA, Jour-nal of Differential Geometry, Geometry and Topology, Advances in Applied Mathematics,Differential Geometry and its Applications, Discrete and Computational Geometry, PacificJournal of Mathematics, Experimental Mathematics, Topology, Discrete Mathematics.

� Proposal Reviewer for the National Science Foundation (DMS).

� NSF CNS MRI-2 A high performance GPU/CPU system, July 2010-July 2013, $865000ExternalFunding (co-PI)

� NSF DMR Collaborative Research: CDI-Type I, Discovery and design of new microporouszeolites, Oct 2008- – Oct 2011, $253471.00.

� NSF Department of Mathematical Sciences Research Grant DMS-0072622 July 2000 - June2004, $69999.00

� NSF DMS exploratory research grant (jointly with Henry Cejtin, under the auspices of theGeometry Center) – $50000 grant to develop ideas on mathematical computation.

Plenary/Principal Addresses:Invitedlectures � Conference on Foundations of Computation, Montevideo, Uruguai, December 2014

� Quantopian quant finance meetup, Boston, January 2014

� Banff International Research Station, workshop on Metric Geometry, August 2013

� Banff International Research Station, workshop on Algebraic Groups, April 2013 [?],session on algebraic groups, Boulder, Colorado, April 2013

Igor Rivin

� Conference on Hyperbolic Geometry and Teichmuller theory, New York September2012

� Workshop on Discrete Differential Geometry, Oberwolfach, July 2012

� Special Session on Modeling Crystaline and Quasi-Crystalline Materials, AMSsectional meeting, Tampa, FL, March 2012

� Hot Topics: Expansion and Strong approximation, MSRI, Berkeley February 2012.

� Buser Fest, Ascona, Switzerland, November 2011.

� Combinatorial Geometry workshop, Fields Institute, October 2011.

� Banff International Research Station, workshop on Harmonic Analysis in Convexity,Spring 2011.

� Meeting of the FRG on geometry, Princeton, Spring 2011

� AMS winter meeting, New Orleans, Winter 2011

� Workshop on Geometric Constraint Systems, Barbados, Winter 2010

� Geometric Group Theory Conference, Stevens Institute of Technology, Spring 2010

� AMS Sectional Meeting (Geometric Group Theory) Newark, NJ, Spring 2010

� The Discrete Geometry Workshop, South Padre Island, Spring 2009

� Oberwohlfach workshop on combinatorial geometry, Winter 2009

� Workshop on Geometric Constraint Systems, with applications in CAD, Mate-rials and Biology, Barbados, Winter 2009

� ICMR Workhsop on Design and Synthesis of New Materials at University ofCalifornia, Santa Barbara – August 2008.

� AIM workshop on rigidity and polyhedral combinatorics, Fall 2007

� Bay Area Topology Seminar, Winter 2007

� Banff International Research Station, Kneser-Poulsen Conjecture, November 2005

� Georgia Topology Conference Athens, Georgia, June 2005

� Banff International Research Station, Geometric and Asymptotic Methods inGroup Theory, June 2005

� Bolyai 200th anniversary conference Budapest, July 2002.

� Conference in geometry and computation Warwick, July 1999.

� Conference on Foundations of Computation Oxford, July 1999

� British Mathematics Conference Southampton, March 1999.

� International Conference on Geometry and Topology, The Technion, Haifa, Israel,January 1999.

� Orbifold Theorem Conference Tokyo, Japan, July 1998

� West Coast Topology Conference Stanford, Spring 1996

� Special Semester on Low-dimensional topology Institut Henri Poincare, Paris, Spring1996 (Lecture series on geometry of polyhedra)

� Wasatch Topology Conference, Park City, Utah, Fall 1995 (two lectures)

� Southern California Topology Day, Caltech, Fall 1995

� Spring Topology Fest, Cornell University, Spring 1994

� Nordic Mathematics Congress Lulea, Sweden, June 1992

Department Colloquia:

� University of Michigan Mathematics Department, Spring 2014

Igor Rivin

� ICERM, Fall 2013

� Drexel University Mathematics Department, Fall 2013

� Brown University Mathematics Department, Fall 2013

� University of Virginiia Mathematics Department, Spring 2013

� Yale University, Spring 2013

� Penn State University MASS Colloquium, Fall 2012

� Institute of Science and Technology – Austria Colloquium, Spring 2012

� University of Illinois Urbana-Champaign (Mathematics in Science and Society Collo-quium), Spring 2012

� Brown University Mathematics Department, Spring 2012

� Berlin Mathematics School, Fall 2011

� University of Leipzig, Fall 2011

� Institute for Advanced Study, Fall 2010.

� The Polytechnic University – NYU, Fall 2010

� Hunter College, CUNY, Winter 2010

� Hunter College, CUNY, Spring 2009

� The Polytechnic University – NYU, Fall 2008

� Stonybrook University, Fall 2008

� University of Pennsylvania – Applied Mathematics, Fall 2008

� The Polytechnic University, Spring 2006

� The Polytechnic University, Fall 2005

� University of New Hampshire, Fall 2005

� City College of New York, Spring 2005

� City College of New York, Fall 2004.

� University of Chicago, Fall 2003

� University of New Hampshire, Fall 2003

� University of Illinois, Urbana/Champain, Summer 2003

� Queens University, 2002

� University of Exeter, 2001

� Ecole Polytechnique, 2001, 1997

� Aberdeen University, 1998

� LORIA, Nancy, France, 1998

� Universite Paul Sabatier, Toulouse, 1998

� University of Southern California, 1995

� University of Toronto, 1994, 1993

� Institute for Advanced Study, 1993

� University of Chicago (Computer Science), 1993

� ENS de Lyon, 1992

Seminars:

� Topology Seminar, Tufts University, February 2014

� Geometry Seminar, Brown University, October 2013

Igor Rivin

� Geometry Seminar, University of Chicago, February 2013

� Geometry and Dynamics Seminar, Penn State University, November 2012

� Geometry Seminar, University of Fribourg, Fribourg, Switzerland, December 2011

� Geometry Seminar, University of Karlsruhe, Karlsruhe, Germany, December 2011

� Geometry Seminar, ETH Zurich, Zurich, Switzerland, October 2011.

� Geometry Seminar, University of Geneva, Geneva, Switzerland, October 2011.

� Geometry Seminar, FU Berlin, Berlin, Summer 2011

� Geometry Seminar, TU Berlin, Berlin, SUmmer 2011

� Computational Geometry Seminar, NYU, Spring 2011.

� Mathematical Conversations, Institute for Advanced Study, Spring 2011

� Topology Seminar, Princeton University, Fall 2011.

� Geometric Function Theory Seminar, Cuny Graduate Center, Fall 2010

� Topology Seminar, Stanford University, Spring 2010

� Computational Geometry Seminar, Stanford University, Spring 2010

� Group Theory Seminar CUNY Graduate Center, Fall 2009

� Geometry Seminar,University of Chicago, Spring 2009

� Topology Seminar, University of Pennsylvania, Spring 2009

� Geometry Seminar, CUNY Graduate Center, Fall 2008

� Geometry Seminar, University of Chicago, Fall 2008

� Geometry Seminar, University of California, Berkeley, Fall 2008

� Complex Analysis Seminar, Graduate Center, CUNY, Spring 2008

� Number Theory Seminar, Stanford University, Spring 2007

� Topology Seminar, University of California, Santa Barbara, Spring 2007

� Topology Seminar, University of California, Davis, Spring 2007

� Topology Seminar, Stanford University, Spring 2007

� Geometry Seminar, University of Chicago, Spring 2006.

� Topology Seminar, Rutgers University (Newark), Fall 2005

� Combinatorics Seminar, MIT, Fall 2005

� Topology Seminar, Brandeis University, Fall 2005

� Geometry Seminar, University of Chicago, Spring 2005

� Algebra Seminar, Temple University, Spring 2005

� Analysis Seminar, Rutgers University, Fall 2004

� Group Theory Seminar, CUNY Graduate Center, Fall 2004

� Topology Seminar, Universite Paul Sabatier, Toulouse, Spring 2004

� Geometry Seminar Indiana University, Fall 2003

� Geometry Seminar University of Michigan, Fall 2003

� Dynamics Seminar Northwestern University, Fall 2003

� Geometry Seminar Rutgers University, Fall 2003

� Geometry Seminar University of Chicago, Fall 2002

� Analysis Seminar Rutgers University, Spring 2001

� Analysis Seminar Johns Hopkins University, Fall 2000

Igor Rivin

� Geometry Seminar University of Manchester, Fall 2000

� Topology Seminar Rutgers University, Spring 2000

� Geometry Seminar Kings College, London, Fall 1999

� Differential Geometry Seminar, ETH, Zurich, Fall 1999

� Geometry Seminar, Princeton University, Fall 1999

� Lecture Series on Geometry of Graphs, Ecole Polytechnique, Fall 1999

� Geometry Seminar, Ecole Polytechnique, Fall 1999

� Geometry Seminar, Ecole Polytechnique, Fall 1998

� Geometry Seminar, University of Edinburgh, Fall 1998

� Geometry Seminar, King’s College, London, Fall 1997

� Topology Universy, Oxford University, Fall 1997

� Geometry and Dynamics Seminar, Universite de Paris Sud, Orsay, Summer 1997 (twotalks).

� Workshop on geometry and Dynamics, Universite Rennes I, Summer 1997 (lectureseries on geometry of simple geodesics).

� Seminar on Lie Groups and Differential Geometry, University of Chicago, Fall 1995

� Topology Seminar, UC Santa Barbara, Fall 1995

� Spectral Geometry Seminar, Universite Joseph Fourier, Grenoble, Summer 1992.

� At Stanford University Computer Science Department designed and taught two courses (oneTeachinga sequel to the other) on Symbolic and Algebraic Computation.

� At Caltech designed and taught courses on Riemann Surfaces (undergraduate/graduate)and Graph Theory (graduate) also a course on Geometry.

� At Warwick University designed and taught an undergraduate course on Combinatorics anda graduate (Master’s level) course in topology of surfaces.

� At University of Manchester designed and taught a graduate course in Graph Theory

� At Temple University, designed and taught two graduate courses on ”Advanced Algo-rithms” (in the Computer Science Department), two (Mathematics Advanced Undergradu-ate) courses entitled ”Senior Problem Solving” (one focussing on number theory, the otheron Fourier and Laplace transform methods), one course entitled ”sophomore problem solv-ing” (actually discrete mathematics for computer science students), a graduate course (inMathematics) on Quantum Computing, a graduate course on Riemannian Geometry, agraduate course on Graph Theory and Related Topics, a graduate course on MathematicalComputation, a graduate course on Lie Groups and Lie Algebras. Have also taught servicecalculus courses.

� Designed and taught lecture series on Geometry of Polyhedra (at the Institut Henri Poincare),on geometry of geodesics (at Universite Rennes I) and on dynamics of graphs and groups(at the Ecole Polytechnique).

� Currently serving on the Mathematics Department Faculty Search Committee, PersonnelDepartmentService Committee, Technology Committee, Colloquium Committee, and Library Committee.

� While at NEC Research and IAS organized the Princeton University Topology Seminar.

� C, HTML,XML, Lisp/Scheme, ML, Java, Mathematica, MACSYMA, MATLAB, Maple,SundrySkills R/S-Plus, SAS, Visual Basic

� python, Unix tools ((ba)sh, awk, sed, Perl).

� Unix/Linux, MS-Windows, MacOS X

� Fluent spoken/written English, French, and Russian; fair Italian.

Igor Rivin

� PreprintsCreativeworks 1. Igor Rivin. Statistics of Random 3-Manifolds fibering over the circle, http://arxiv.org/abs/1401.5736

2. Igor Rivin. Large Galois Groups and Zariski density, http://arxiv.org/abs/1312.3009

3. Igor Rivin. How to pick a random integer matrix (and other questions), http://arxiv.org/abs/13124607

4. Igor Rivin. Rigidity of Fibering, http://arxiv.org/abs/1106.4595

5. Igor Rivin. Golden-Thompson from Davis, http://arxiv.org/abs/1010.2193

6. Igor Rivin. Triangulations into Groups. arxiv.org preprint math.GT/0510613

7. Igor Rivin. Extra-Large metrics. arxiv.org preprint math.GT/0509320

8. Igor Rivin. Estimates and identities for the average distortion of a linear transforma-tion, arxiv.org preprint math.CA/0412260

9. Yury Grabovsky, Omar Hijab, Igor Rivin. Differentiability of functions of matrices.arxiv.org preprint math.FA/0310086, submitted.

10. Igor Rivin. Surface Area of Ellipsoids, arxiv.org preprint math.MG/0306387

11. Igor Rivin. Simple Estimates for Ellipsoid Measures, arxiv.org preprint math.MG/0306085

12. Igor Rivin. Spheres and Minima, arxiv.org preprint math.PR/0305252

13. Henry Cejtin and Igor Rivin. A property of Alternating Groups, arxiv.org preprintmath.GR/0303036

14. Igor Rivin. The Amplitude Modulation transform, arxiv.org preprint math.CA/0212199.

15. Igor Rivin. A multidimensional Law of Sines,arxiv.org preprint math.GM/0211261.

16. Igor Rivin. Another simple proof of a theorem of Chandler Davis,arxiv.org preprint math.FA/02082333.

17. Igor Rivin. Yet another zeta function and learning,arxiv.org preprint cs.LG/0107033.

18. N. L. Komarova and Igor Rivin. Mathematics of Learning,arxiv.org preprint math.PR/0105235.

19. Igor Rivin and Jean-Marc Schlenker. On the Schlafli differential formula,arxiv.org preprint math.DG/0001176

20. Igor Rivin, Growth in free groups (and other stories),arxiv.org preprint math.CO/9911076

21. Igor Rivin. Simple Cycles,arxiv.org preprint math.CO/9910093

� Research Articles accepted and in press

1. Igor Rivin. How to pick a random integer matrix (and other questions),http://arxiv.org/abs/13124607,accepted for publication in Mathematics of Computa-tion

� Research articles

1. Igor Rivin. Some thoughts on the Teaching of Mathematics – ten years later. Noticesof the American Math Society. June-July 2014

2. Igor Rivin. Generic Phenomena in Groups – Some Answers and Many Questions. InThin Groups and Superstrong Approximation, MSRI Publ 61, 2014

3. Colby Dawson, Vitali Kapko, Igor Rivin, M. M. J. Treacy. Flexibility Mechanisms inIdeal Zeolite Frameworks, Philosophical Transactions of the Royal Society A., 372(2014),no. 2008

4. Robin Pemantle and Igor Rivin. The distribution of zeros of the derivative of a randompolynomial. Advances in Combinatorics 2013

Igor Rivin

5. Justin Malestein, Louis Theran, and Igor Rivin. Topological Designs. GeometriaeDedicata, February 2013

6. Igor Rivin. Moment Zeta function and applications. In Farkas, Hershel M., et al., eds.From Fourier Analysis and Number Theory to Radon Transforms and Geometry: InMemory of Leon Ehrenpreis. Vol. 28. Springer, 2012.

7. Igor Rivin. Geodesics with one self-intersection, and other stories. Advances in Math-ematics 231, no. 5 (2012): 2391-2412

8. V. Kapko, C. Dawson, I. Rivin, MMJ Treacy. Density of Mechanisms within the flexi-bility window of Zeolites, Phys. Rev. Letters, (2011), 107(16). (online at arXiv:1109.5203v1).

9. A. Alam, I. Rivin, I. Streinu. Outerplanar graphs and Delaunay Triangulations. CCC22011 (Toronto, Ont).

10. Igor Rivin. Growth in Free Groups (and other stories) – twelve years later. PaulSchupp volume of the Illinois Journal of Mathematics, 2011.

11. Manfred Droste and Igor Rivin. On Extension of Coverings. Bull. London Math. Soc(2010) 42(6).

12. Igor Rivin. Zariski Density and Genericity.IMRN, 2010

13. Bojan Mohar and Igor Rivin. Simplices and spectra of graphs. Discrete and Compu-tational Geometry, Published online July 7 2009

14. Igor Rivin. Asymptotic Geometry of Convex Sets in Hyperbolic and Euclidean Spaces,Advances in Mathematics. vol 220 (2009), pp. 1297-1315

15. Igor Rivin. Walks on graphs and lattices – effective bounds and applications, ForumMath., July 2009

16. Ilya Kapovich and Igor Rivin. On the absense of McShane-type identities for the outerspace. Journal of Algebra, vol 320 (2008), no. 10, pp. 3659-3670.

17. M. M. J. Treacy, M. D. Foster and I. Rivin, Towards a catalog of designer zeolites, inTurning Points in Solid State, Materials and Surface Science, ed. By K.D.M. Harrisand P.P. Edwards, RSC Publishing, Cambridge, U.K. Ch. 12, pp. 208220, (2008).

18. Igor Rivin. Walks on Groups, counting reducible matrices, polynomials, and surfaceand free group automorphisms. Duke Math. J. vol. 142 (2008), no. 2, pp. 353-379.

19. Igor Rivin. Voulmes of degenerating polyhedra – on a conjecture of J. W. Milnor.Geometriae Dedicata, vol 131 (2008) pp. 73-85

20. Igor Rivin. Surface Area and other measures of Ellipsoids, Advances in Applied Math-ematics, vol 39 (2007), 409-427

21. Ilya Kapovich, Igor Rivin, Paul Schupp, and Vladimir Shpilrain. Densities in freegroups and Zk, visible points and test elements. Mathematical Research Letters, Vol.14(2007), no. 2-3.

22. Igor Rivin. A lesson from virtual zeolites. Nature Materials, Vol. 5 (2006), pp. 931-932.

23. M. D. Foster and I. Rivin and M. M. J. Treacy and O. Delgado Friedrichs. A geo-metric solution to the Largest Free Scphere problem in zeolite frameorks, Journal ofMicroporous and Mesoporous Materials, vol. 90 (2006), no. 1-3.

24. M. D. Foster, M. M. J. Treacy, J. B. Higgins, I. Rivin, E. Balkovsky, and K. H. Ran-dall. Crystal Structure Solution by a Systematic Topological Search: The FrameworkTopology of Zeolite ZSM-10. J. Appl. Cryst, vol. 38 (2005), no. 6.

25. Igor Rivin. A simpler proof of Mirzakhani’s simple curve asymptotics. GeometriaeDedicata, vol 114 (2005).

26. Igor Rivin. On some mean matrix inequalities of dynamical interest. arxiv.org preprintmath.DS/0312048, electronically published in Communications in Mathematical Physicson January 22, 2005

Igor Rivin

27. Igor Rivin. Symmetrized Chebyshev Polynomials, arxiv.org preprint math.CA/0301241,Proceedings of the American Mathematical Society, electronically published on Novem-ber 19, 2004.

28. Igor Rivin. Some properties of the Conjugacy Class Growth Function, in ”GroupTheory, Statistics, and Cryptography”, Contemp. Math. vol. 360, Nov 2004 (AmericanMath. Soc.)

29. Igor Rivin. A Remark on “Counting primitive elements in free groups” (by Burillo andVentura), arxiv.org preprint math.GR/0302083, Geometriae Dedicata 107(1), 99-100,August 2004.

30. Mike Treacy, Igor Rivin, Evgueni Balkovsky, Keith Randall. Enumeration of periodictetrahedral network II. Polynodal graphs. Micropoous and Mesoporous Materials, 74,121 (2004).

31. N. L. Komarova and Igor Rivin. Harmonic mean, random polynomials, and stochasticmatrices,arxiv.org preprint math.PR/0105236,Advances in Applied Mathematics, 31(2003), no. 2, pp. 501-526.

32. Igor Rivin, Combinatorial optimization in geometry,arxiv.org preprint math.GT/9907032,Advances in Applied Mathematics, 31(2003), no. 1, pp. 242-271.

33. Igor Rivin, Counting cycles and finite dimensional Lp norms,arxiv.org preprint math.CO/0111106,Advances in Applied Mathematics, 29(2002), no. 4, pp. 647-662.

34. Dmitry Jakobson and Igor Rivin. Extremal Metrics on Graphs, I.Forum Math., 14, 2001.

35. Igor Rivin. Simple curves on surfaces,Geometriae Dedicata, 87, (1/3):345-360, August 2001(see also arxiv.org preprint math.GT/9907041)

36. Igor Rivin and J-M Schlenker. The Schlafli formula in Einstein manifolds with bound-ary,ERA Amer. Math. Soc. 5 (1999), pp. 18-23.

37. Frederic Almgren, Jr and Igor Rivin. The mean curvature integral is invariant underbending,In : The David Epstein 60th birthday Festschrift (I. Rivin, C. Rourke, C. Series, eds);International Press 1999.

38. D. Jakobson, S. Miller, I. Rivin, Z. Rudnick, Quantum chaos in graphs,in Proceedings of the IMA workshop on emerging applications of number theory, 1999.arxiv.org preprint hep-th/0310002

39. Daryl Cooper and Igor Rivin, Combinatorial scalar curvature flow and rigidity of ballpackings,Mathematical Research Letters, 3, no. 1, January 1996.

40. Igor Rivin, A characterization of ideal polyhedra in hyperbolic 3-space,Annals of Mathematics 143, no. 1, January 1996.

41. Greg McShane and Igor Rivin, Simple curves on hyperbolic tori,C. R. Acad. Sci. Paris Ser. I. Math., 320, no. 12, June 1995.

42. Greg McShane and Igor Rivin, Geometry of geodesics and a norm on homology,International Mathematics Research Notices, February 1995.

43. Igor Rivin, Ilan Vardi and Paul Zimmerman, The N -queens problem,American Mathematical Monthly, 101, no. 7, August-September 1994.

Igor Rivin

44. Igor Rivin, Euclidean structures on simplicial surfaces and hyperbolic volume,Annals of Mathematics 139, no. 3, May 1994.

45. Igor Rivin and Srimat Chakradhar. Discrete test generation by continuous methods,Proceedings of the IEEE VLSI Testing Symposium, Atlantic City, April 1994.

46. Igor Rivin, Intrinsic Geometry of convex ideal polyhedra in hyperbolic 3-space,In: Analysis, Algebra and Computers in Mathematics – Proceedings of the 21st NordicCongress of Mathematicians, in the series Lecture Notes in Pure and Applied Mathe-matics, Marcel Dekker, New York-Basel-Hong Kong, 1994.

47. Igor Rivin, On the geometry of ideal polyhedra in hyperbolic 3-space,Topology 32(1), January 1993.

48. Igor Rivin and C. D. Hodgson,A characterization of compact convex polyhedra in hyperbolic 3-space. InventionesMathematicae 111(1), January 1993;(corrigendum, 117, p. 359).

49. Yuh-Dauh Lyuu and Igor Rivin, A note on tight bounds for transition to perfectgeneralization in perceptrons,Neural Computation 4(6), November 1992.

50. C. D. Hodgson, Igor Rivin and Warren D. Smith. A characterization of ideal polyhedraand polyhedra inscribed in the sphere,Bulletin of the AMS 27(2), October 1992.

51. M. M. J. Treacy, Satish Rao and Igor Rivin. A topological method for determiningnew zeolite frameworks,In proceedings of Ninth International Zeolite Conference, Montreal, Canada, July 1992.

52. Igor Rivin and Ramin Zabih. A dynamic programming solution to the N -queensproblem,Information Processing Letters 41(5), 1992.

53. Eric Grinberg and Igor Rivin. Infinitesimal analysis of the Busemann-Petty problem,Bulletin of the London Mathematical Society, 22, no. 5, September 1990.

54. Igor Rivin and Ramin Zabih. An algebraic approach to constraint satisfaction prob-lems,In proceedings of International Joint Conference on Artificial Intelligence, 1989.

� Doctoral Dissertation

· On the geometry of convex polyhedra in hyperbolic 3-space,Mathematics Department, Princeton University, 1986.

� Technical Reports

· Igor Rivin and Arkady Rabinov, Programming in QLISP – A case study,Stanford Computer Science technical report, 1988.

· Igor Rivin, Customizing the Definite Integrator, Part I,Macsyma Newsletter, October 1986.

· Igor Rivin, Customizing the Definite Integrator, Part II,Macsyma Newsletter, January 1987.

� Editorial

· With Colin Rourke and Caroline Series: The David Epstein 60th birthday festschrift– volume 1 of Geometry and Topology monographs, International Press, 1999.

� Translations

· Viktor Kulikov and P. V. Kurchanov. Complex algebraic varieties: Periods of integralsand Hodge Structures.,Encyclopaedia of Mathematical Sciences 36, Springer Verlag, 1997

Igor Rivin

· V. V. Shokurov. Algebraic Curves and their Jacobians,Encyclopaedia of Mathematical Sciences 36, Springer Verlag, 1997

� Problems

· Igor Rivin. On the simplex,American Mathematical Monthly problem, June-July 1995.

� Blogs

· http://templegeom.wordpress.com· http://igorsfinancethoughts.blogspot.com· http://samsarafund.blogspot.com

� US Patent Number 5,506,852 Igor Rivin and Srimat Chakradhar.PatentsTesting VLSI circuits for defects.

� http://www.math.temple.edu/˜rivin/softwareSoftware