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curriculum vitæ

November 2009

Christopher Dean Sinclair

Assistant Professor, University of Oregon
  • 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
    • Assistant Professor · The University of Oregon · August 2009-
    • Instructor, Postdoctoral Fellow · The University of Colorado, Boulder · 2007-2009
    • 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 · 2000-2002
    • Research Scientist · The University of Texas at Austin · Applied Research Laboratories · 1997-1999
  • Research Interests
    • Random matrix theory · Heights of algebraic numbers · Mathematical 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
    • Mathematical Statistics II · (UO) Math 465/565 · Winter 2010
    • Elementary Analysis · (UO) Math 315 · Winter 2010
    • Mathematical Statistics I · (UO) Math 464/564 · Fall 2009
    • Multivariable Calculus I · (UO) Math 281 · Fall 2009
    • Mathematics of Coding and Cryptography · (CU) Math 4440 · Spring 2009
    • Complex Analysis (graduate) · (CU) Math 6350 · Fall 2008
    • Introduction to Probability · (CU) Math 4510 · Summer, Fall 2008
    • Algebraic Number Theory (graduate) · (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
  • Publications
    1. (with Brian Rider). The limit law of the largest eigenvalue in Ginibre's real ensemble; In preparation.
    2. (with Kathleen Petersen). Equidistribution of imaginary quadratic numbers on the unit circle; In preparation.
    3. Correlation functions for β=1 Ensembles of Matrices of Odd Size; J. Stat. Phys.. Vol. 136: 17-33, 2009 · doi: 10.1007/s10955-009-9771-8 · arXiv:math-ph/arxiv:0811.1276.
    4. (with Alexei Borodin). The Ginibre ensemble of real random matrices and its scaling limits; Comm. Math. Phys.. Vol. 291: 177-224, 2009 · doi: 10.1007/s00220-009-0874-5 · arXiv: math-ph/arxiv:0805.2986.
    5. (with Alexei Borodin). Correlation functions of asymmetric real matrices; July 2007 · arXiv: math-ph/arxiv:0706.2670.
    6. (with Kevin Hare and David McKinnon). Patterns and periodicity in a family of resultants; Accepted for publication in J. Théor. Nombres Bordeaux · February 2008.
    7. 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.
    8. 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.
    9. (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).
    10. (with Kathleen L. Petersen). Conjugate reciprocal polynomials with all roots on the unit circle; Canad. J. Math. · Vol. 60(5): 1149-1167 · 2008 · arXiv: math.NT/0511397.
    11. Multiplicative distance functions; PhD Thesis, The University of Texas at Austin, 2005
    12. The distribution of Mahler's measures of reciprocal polynomials. Int. J. Math. Math. Sci, 52:2773-2786, 2004 · arXiv: math.NT/0311255.
    13. (with Lyn Pierce and Sara Matzner). An application of machine learning to network intrusion detection. 15th Annual Computer Security Applications Proceedings, 1999.
  • Plenary Lectures/Colloquia
    1. Patterns and Periodicity in a Family of Resultants · Discovery and Experimentation in Number Theory · Fields Institute/IRMACS · Toronto/Vancouver · September 2009
    2. The Geometry of Polynomials with all Roots on the Unit Circle · Willamette University Colloquium · Salem, Oregon · November 2009
    • Invited Lectures
      1. Random Matrix Theory · Probability Seminar · Oregon State University · November 2009
      2. Pfaffian Point Processes and Random Matrices · Northwest Probability Seminar · Seattle · October 2009
      3. Real Ginibre: Correlations, Kernels and the Largest Point · Random Matrices, Inverse Spectral Methods and Asymptotics · Banff International Research Station · October 2008
      4. Correlation Functions for Ginibre's Real Ensemble · Mathematical Physics Seminar · University of Bristol · June 2008
      5. Repulsion of Quadratic Algebraic Numbers on the Unit Circle · The Mathematical Interests of Peter Borwein · Simon Fraser University · Burnaby, British Columbia · May 2008
      6. 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
      7. The Geometry of Polynomials with all Roots on the Unit Circle · Low Dimensional Topology and Number Theory · Banff International Research Station · October 2007
      8. 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
      9. Averages over Ensembles of Real Asymmetric Matrices · California Institute of Technology · December 2006
      10. Heights of Polynomials and Random Matrix Theory · Number Theory Seminar · University of Arizona · October 2006
      11. Averages over Ginibre's Real Ensemble of Random Matrices · Applied Analysis Seminar · University of Arizona · October 2006
      12. Heights of Polynomials and Random Matrix Theory · Number Theory Seminar · University of Waterloo · June 2006
      13. Random Matrix Theory and Heights of Polynomials · Conference on Advances in Number Theory and Random Matrix Theory · University of Rochester · June 2006
      14. Conjugate Reciprocal Polynomials with all Roots on the Unit Circle · 10th Annual Pacific Northwest Number Theory Conference · Redmond, Washington · February 2006
      15. Partition Functions in 2D Electrostatics · The Joint Meetings of the AMS: Mahler Measure and Heights · San Antonio · January 2006
      16. Multiplicative Distance Functions on C[X] · University of York · York, England · October 2003
      17. The Distribution of Mahler's Measures of Reciprocal Polynomials · Mahler's Measures of Polynomials Conference · Simon Fraser University · Burnaby, British Columbia · June 2003
      18. Heights of Polynomials, Asymptotic Estimates and the Mellin Transform · Mahler's Measures of Polynomials Conference · Simon Fraser University · Burnaby, British Columbia · June 2003
      19. 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. Ginibre's Real Ensemble and its Scaling Limits · Random Matrices, Related Topics and Applications · Centre de Recherches Mathématiques, Montréal · August 2008
      2. Conjugate Reciprocal Polynomials with all Roots on the Unit Circle · Number Theory and Polynomials · Heilbronn Institute For Mathematical Research · Bristol, England · April 2006
      3. Multiplicative Distance Functions · Mahler Measure in Mobile · University of South Alabama · January 2006
      4. The Distribution of Mahler's Measure of Reciprocal Polynomials · West Coast Number Theory · San Francisco State University · December 2002
    • Conferences Attended
      1. Northwest Probability Seminar · University of Wachington · Seattle · October 2009
      2. Discovery and Experimentation in Number Theory · Fields Institute/IRMACS · Vancouver/Toronto · September 2009
      3. Random Matrices, Inverse Spectral Methods and Asymptotics · Banff International Research Station · October 2008
      4. Random Matrices, Related Topics and Applications · Centre de Recherches Mathématiques, Montréal · August 2008
      5. The Mathematical Interests of Peter Borwein · Simon Fraser University · Burnaby, BC · May 2008
      6. Special Session on Diophantine Problems and Discrete Geometry · AMS Western Section Meeting · Claremont McKenna College, CA · May 2008
      7. Low Dimensional Topology and Number Theory · Banff International Research Station · October 2007
      8. Interactions of Random Matrix Theory, Integrable Systems and Stochastic Processes · 2007 Joint Summer Research Conferences · Snowbird UT · June 2007
      9. The Joint Meetings of the American Mathematical Society · New Orleans · January 2007
      10. Canadian Number Theory Association Meeting IX · University of British Columbia · Vancouver · July 2006
      11. Conference on Advances in Number Theory and Random Matrix Theory · University of Rochester · June 2006
      12. Number Theory and Polynomials · Heilbronn Institute For Mathematical Research · Bristol, England · April 2006
      13. Diophantine Approximation and Heights · Erwin Schrödinger Institute for Mathematical Physics · Vienna · March 2006
      14. Pacific Northwest Number Theory Conference 10 · Digipen Institute of Technology · Redmond WA · February 2006
      15. The Joint Meetings of the AMS · Special Session on Mahler Measure and Heights · San Antonio · January 2006
      16. Mahler Measure in Mobile · University of Southern Alabama · Mobile · January 2006
      17. Pacific Northwest Number Theory Conference 9 · Simon Fraser University · Burnaby BC · April 2005
      18. The Joint Meetings of the American Mathematical Society · Atlanta · January 2005
      19. Recent Perspectives in Random Matrix Theory and Number Theory · The Newton Institute · Cambridge UK · April 2004
      20. The Mahler's Measure of Polynomials · Simon Fraser University · Burnaby BC · June 2003
      21. The Many Aspect of Mahler's Measure · Banff International Research Station · April 2003
      22. Canadian Number Theory Association Meeting VII · Université de Montréal · May 2002
      23. 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
    • References
      1. Alexei Borodin · California Institute of Technology
      2. Brian Conrey · American Institute of Mathematics
      3. Percy Deift · Courant Institute of Mathematical Sciences
      4. Greg Martin · University of British Columbia · Teaching reference
      5. Brian Rider · University of Colorado, Boulder
      6. Craig Tracy · University of California, Davis
      7. Jeff Vaaler · University of Texas at Austin