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curriculum vitæ

May 2008

Christopher Dean Sinclair

Instructor, Postdoctoral Fellow, The University of Colorado, Boulder
  • Personal Data
  • Education
    • PhD (Mathematics) · Supervisor Jeff Vaaler · The University of Texas at Austin · May 2005
    • BS (Mathematics) · The University of Arizona · August 1997
  • Professional Experience
    • Instructor, Postdoctoral Fellow · The University of Colorado, Boulder · August 2007-
    • Visiting Postdoctoral Fellow · Institut des Hautes Études Scientifiques, Bures-sur-Yvette, France · July 2007
    • Visiting Postdoctoral Fellow · Max Planck Institut für Mathematik, Bonn, Germany · April-June 2007
    • Postdoctoral Fellow · Simon Fraser University · 2005-2007
    • Postdoctoral Fellow, Instructor · The University of British Columbia · 2005-2007
    • Assistant Instructor · The University of Texas at Austin · 2002-2005
    • Teaching Assistant · The University of Texas at Austin · 1997, 1999-2002
    • Research Scientist · The University of Texas at Austin · Applied Research Laboratories · 1997-1999
  • Research Interests
    • Heights of algebraic numbers · Random matrix theory · Connections between number theory and physics
  • Honors and Awards
    • NSF grant: DMS-0801243 · Analysis program · Integrable Structure of Random Spectra Derived from Diophantine Geometry. 2008-2011.
    • 2001-2002 Frank Gerth III Teaching Excellence Award
    • 2003-2004 University of Texas at Austin Continuing Tuition Fellowship
    • 2003-2004 VIGRE Graduate Traineeship
  • Courses Taught
    • Introduction to probability · (CU) Math 4510 · Summer 2008
    • Algebraic number theory · (CU) Math 6180 · Spring 2008
    • Introduction to linear algebra · (CU) Math 3130 · Fall 2007
    • Calculus III · (CU) Math 2400 · Fall 2007
    • Calculus I for science and engineering majors · (UBC) Math 100 · Fall 2006
    • Calculus II for business majors · (UBC) Math 105 · Summer 2006
    • Introduction to number theory · (UBC) Math 312 · Fall 2005
    • Precalculus · (UT) Math 305G · Fall 2004, Spring 2005
    • Emerging scholars workshop · (UT) Math 210E · Fall 2002, Spring 2003
    • Calculus I for business majors · (UT) Math 403K · Fall 2000, Spring 2002
    • Differential and integral calculus · (UT) Math 408C · Fall 2001
    • Series, sequences and multivariable calculus · (UT) Math 408D · Fall 1997
  • Publications
    1. (with Alexei Borodin). The Ginibre ensemble of real random matrices and its scaling limits; Submitted for publication. May 2008 · arXiv: math-ph/arxiv:0805.2986.
    2. (with Alexei Borodin). Correlation Functions of Asymmetric Real Matrices; Merged with "The Ginibre ensemble of real random matrices and its scaling limits". (It is listed here since it is referenced by several papers under this title). July 2007 · arXiv: math-ph/arxiv:0706.2670.
    3. (with Kevin Hare and David McKinnon). Patterns and periodicity in a family of resultants; Accepted for publication in J. Théor. Nombres Bordeaux · February 2008.
    4. The range of multiplicative functions on C[x], R[x] and Z[x]. Proc. London Math. Soc. · Vol. 96(3): 697-737, 2008 · doi: 10.1112/plms/pdm037 · arXiv: math.NT/0509591.
    5. Averages over Ginibre's ensemble of random real matrices; Int. Math. Res. Not. · Vol. 2007: 1-15, 2007 · Article ID:rnm015, doi:10.1093/imrn/rnm015 · arXiv: math-ph/0605006.
    6. (with Jeffrey D. Vaaler). Self-inversive polynomials with all zeros on the unit circle. London Mathematical Society Lecture Note Series: Number Theory and Polynomials · Vol. 352: 312-321 · Editors: James McKee and Chris Smyth · 2008 (refereed).
    7. (with Kathleen L. Petersen). Conjugate reciprocal polynomials with all roots on the unit circle; Accepted for publication in Can. J. Math. · April 2006 · arXiv: math.NT/0511397.
    8. Multiplicative distance functions; PhD Thesis, The University of Texas at Austin, 2005
    9. The distribution of Mahler's measures of reciprocal polynomials. Int. J. Math. Math. Sci, 52:2773-2786, 2004 · arXiv: math.NT/0311255.
    10. (with Lyn Pierce and Sara Matzner). An application of machine learning to network intrusion detection. 15th Annual Computer Security Applications Proceedings, 1999.
  • Invited Lectures
    1. Correlation functions for Ginibre's real ensemble · Mathematical Physics Seminar · University of Bristol · June 2008
    2. Repulsion of Quadratic Algebraic Numbers on the Unit Circle · The Mathematical Interests of Peter Borwein · Simon Fraser University · Burnaby, British Columbia · May 2008
    3. Repulsion of Quadratic Algebraic Numbers on the Unit Circle · Special Session on Diophantine Problems and Discrete Geometry · AMS Western Section Meeting · Claremont McKenna College, California · May 2008
    4. The Geometry of Polynomials with all Roots on the Unit Circle · Low Dimensional Topology and Number Theory · Banff International Research Station · October 2007
    5. Correlation Functions of Ensembles of Real Asymmetric Matrices · Interactions of Random Matrix Theory, Integrable Systems and Stochastic Processes · 2007 Joint Summer Research Conferences, Snowbird, Utah · June 2007
    6. Averages over Ensembles of Real Asymmetric Matrices · California Institute of Technology · December 2006
    7. Heights of Polynomials and Random Matrix Theory · Number Theory Seminar · University of Arizona · October 2006
    8. Averages over Ginibre's Real Ensemble of Random Matrices · Applied Analysis Seminar · University of Arizona · October 2006
    9. Heights of Polynomials and Random Matrix Theory · Number Theory Seminar · University of Waterloo · June 2006
    10. Random Matrix Theory and Heights of Polynomials · Conference on Advances in Number Theory and Random Matrix Theory · University of Rochester · June 2006
    11. Conjugate Reciprocal Polynomials with all Roots on the Unit Circle · 10th Annual Pacific Northwest Number Theory Conference · Redmond, Washington · February 2006
    12. Partition Functions in 2D Electrostatics · The Joint Meetings of the AMS: Mahler Measure and Heights · San Antonio · January 2006
    13. Multiplicative Distance Functions on C[X] · University of York · York, England · October 2003
    14. The Distribution of Mahler's Measures of Reciprocal Polynomials · Mahler's Measures of Polynomials Conference · Simon Fraser University · Burnaby, British Columbia · June 2003
    15. Heights of Polynomials, Asymptotic Estimates and the Mellin Transform · Mahler's Measures of Polynomials Conference · Simon Fraser University · Burnaby, British Columbia · June 2003
    16. The Distribution of Mahler's Measures of Reciprocal Polynomials · The Many Aspects of Mahler's Measure · Banff International Research Station · March 2003
  • Selected Other Lectures and Presentations
    1. Conjugate Reciprocal Polynomials with all Roots on the Unit Circle · Number Theory and Polynomials · Heilbronn Institute For Mathematical Research · Bristol, England · April 2006
    2. Multiplicative Distance Functions · Mahler Measure in Mobile · University of South Alabama · January 2006
    3. The Distribution of Mahler's Measure of Reciprocal Polynomials · West Coast Number Theory · San Francisco State University · December 2002
  • Conferences Attended
    1. The Mathematical Interests of Peter Borwein · Simon Fraser University · Burnaby, BC · May 2008
    2. Special Session on Diophantine Problems and Discrete Geometry · AMS Western Section Meeting · Claremont McKenna College, CA · May 2008
    3. Low Dimensional Topology and Number Theory · Banff International Research Station · October 2007
    4. Interactions of Random Matrix Theory, Integrable Systems and Stochastic Processes · 2007 Joint Summer Research Conferences · Snowbird UT · June 2007
    5. The Joint Meetings of the American Mathematical Society · New Orleans · January 2007
    6. Canadian Number Theory Association Meeting IX · University of British Columbia · Vancouver · July 2006
    7. Conference on Advances in Number Theory and Random Matrix Theory · University of Rochester · June 2006
    8. Number Theory and Polynomials · Heilbronn Institute For Mathematical Research · Bristol, England · April 2006
    9. Diophantine Approximation and Heights · Erwin Schrödinger Institute for Mathematical Physics · Vienna · March 2006
    10. Pacific Northwest Number Theory Conference 10 · Digipen Institute of Technology · Redmond WA · February 2006
    11. The Joint Meetings of the AMS · Special Session on Mahler Measure and Heights · San Antonio · January 2006
    12. Mahler Measure in Mobile · University of Southern Alabama · Mobile · January 2006
    13. Pacific Northwest Number Theory Conference 9 · Simon Fraser University · Burnaby BC · April 2005
    14. The Joint Meetings of the American Mathematical Society · Atlanta · January 2005
    15. Recent Perspectives in Random Matrix Theory and Number Theory · The Newton Institute · Cambridge UK · April 2004
    16. The Mahler's Measure of Polynomials · Simon Fraser University · Burnaby BC · June 2003
    17. The Many Aspect of Mahler's Measure · Banff International Research Station · April 2003
    18. Canadian Number Theory Association Meeting VII · Université de Montréal · May 2002
    19. 2002 Illinois Number Theory Conference · The University of Illinois Urbana-Champaign · May 2002
  • Research Organizations and Special Programs
    1. MSRI Summer Graduate School · Simon Fraser University · Burnaby BC · June 2002
    2. Arizona Winter School · University of Texas at Austin · March 2004
    3. Arizona Winter School · University of Arizona · Tucson · March 2002
    4. Park City Summer Mathematics Institute · Institute for Advanced Study · University of Utah · June 1997
    5. Arizona Center for Mathematical Sciences · The University of Arizona · Tucson · 1996-1997
    6. The Geometry Center Summer Institute · The University of Minnesota · Minneapolis · Summer 1996