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curriculum vitæ
January 2012
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-
- Research Member · Mathematical Sciences
Research Institute · Fall 2010
- 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 · Statistical 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 Fellowship
- Publications
- The partition function of multicomponent
log-gases; math-ph/arXiv:1201.0223
- (with Maxim Yattselev) Universality for
ensembles of matrices with potential theoretic
weights on domains with smooth boundary; Accepted
for publication in J. Approx. Theor.
February 2012 · arXiv:math/arxiv:1108.3052
- (with Peter Forrester) A generalized plasma and
interpolation between classical random matrix
ensembles; J. Stat. Phys · Vol. 143,
No. 2; 326-345, 2011. · doi:
10.1007/s10955-011-0173-3 ·
arXiv:math-ph/arxiv:1012.0597
- Ensemble averages when β is a square
integer; Accepted for publication
in Monatsh. Math. December 2011 ·
arXiv:math-ph/arxiv:1008.4362
- (with Brian Rider and Yuan Xu). A solvable mixed
charge ensemble on the line: Global results;
Accepted for publication in Probab. Theor. Relat.
Fields September 2011 · doi:
10.1007/s00440-011-0394-z ·
arXiv:math-ph/arxiv:1007.2246
- (with Brian Rider). The limit law of the
largest eigenvalue in Ginibre's real ensemble; In
preparation.
- (with Kathleen Petersen). Equidistribution of
algebraic numbers of norm one in quadratic number
fields; Int. J. Number Theory · Vol. 7,
Issue 7: 1841-1861, 2011 · doi:
10.1142/S1793042111004666 ·
arXiv:math.NT/arxiv:1004.0986
- (with Kevin Hare and David McKinnon). Patterns
and periodicity in a family of
resultants; J. Théor. Nombres Bordeaux
· Vol. 21: 215-234, 2009.
- 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.
- (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.
- (with Alexei Borodin). Correlation functions of
asymmetric real matrices; July 2007 ·
arXiv: math-ph/arxiv:0706.2670.
- 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.
- 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.
- (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).
- (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.
- Multiplicative distance functions; PhD
Thesis, The University of Texas at Austin,
2005
- The distribution of Mahler's measures of
reciprocal polynomials. Int. J. Math. Math.
Sci, 52:2773-2786, 2004 · arXiv:
math.NT/0311255.
- (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
- Random Matrices, Pfaffian Point Processes and
Beyond · Colloquium · Florida State
University · October 2010
- Random Matrix Theory: Asymmetric ensembles
and their applications · Department of Pure
Mathematics Colloquium · University of Waterloo
· Waterloo, Ontario · March 2010
- The Geometry of Polynomials with all Roots on
the Unit Circle · Department of Mathematics
Colloquium · Willamette University
· Salem, Oregon · November
2009
- Patterns and Periodicity in a Family of
Resultants · Discovery and Experimentation
in Number Theory · Plenary Lecture ·
Fields Institute/IRMACS · Toronto/Vancouver
· September 2009
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