Curriculum Vitae
Alan K. Haynes
PERSONAL
INFORMATION
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Birthdate:
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Citizenship:
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Address: Department of
Mathematics
Heslington, York YO10 5DD
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Phone: +44 1904 433093
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Email: akh502@york.ac.uk
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Webpage: http://www-users.york.ac.uk/~akh502/
DEGREES EARNED
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Ph.D. in Mathematics,
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B.S. in Mathematics,
ACADEMIC
HISTORY
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California Institute of Technology, 1998-2000.
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PROFESSIONAL
HISTORY
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Research Associate, University of York, 2008-present.
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Instructor, Brandeis University, 2007-2008.
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Lecturer,
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Assistant Instructor,
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Teaching Assistant,
PUBLICATIONS
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New results about the classical Duffin-Schaeffer Conjecture, in
preparation.
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Distribution functions related to the Farey sequence, in preparation.
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Farey fractions with denominators in arithmetic progressions, in
preparation.
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Numerators of differences of nonconsecutive Farey fractions, submitted.
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Intermediate convergents and a metric theorem of Khinchin, submitted.
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(with K. Homma) The group ring of Q/Z and an application of a divisor
problem, Proc. Amer. Math. Soc., to appear, 7 pp.
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(with J. Vaaler), Martingale differences and the metric theory of continued fractions, Illinois
J. Math., to appear, 29 pp.
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Tools and techniques in Diophantine approximation, thesis, 154 pp.
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The distribution of special subsets of the Farey sequence, J. Number
Theory, 107 (2004), no.1, 95-104.
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A note on Farey fractions with odd denominators, J. Number Theory, 98
(2003), no.1, 89-104.
COURSES
TAUGHT
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Instructor at
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Analytic Number Theory (graduate course), Spring
2008.
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Complex Analysis, Spring 2008.
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Rings and Fields, Fall 2007.
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Calculus of Several Variables, Fall 2007.
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Lecturer at the
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Differential Calculus, Summer 2007.
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Integral Calculus, Spring 2007, Summer 2007.
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Number Theory Through Inquiry, Spring 2007.
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Multivariable Calculus, Spring 2007.
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Applied Number Theory: Cryptography, Fall 2006.
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Differential and Integral Calculus I, Fall 2006.
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Assistant Instructor at the
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Mathematics for Plan II Honors Liberal Arts, Spring 2006.
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Undergraduate Research in Number Theory, Summer 2005.
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Precalculus, Fall 2003, Summer 2004, Fall 2004, Summer 2006.
ACADEMIC
SUPPORT
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EPSRC grant EP/F027028/1, March 2008-present.
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Visiting scholar grant (
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Edward Louis and Alice Laidman Dodd Fellowship (UT
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Bruton Fellowship (UT
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VIGRE support (UT Austin), AY 2002-2003.
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Mathematics department fellowship, Spring 2002.
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REU summer research support (UIUC), Summer 2001.
INVITED
TALKS
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A survey of progress toward the Duffin-Schaeffer conjecture, Workshop
on Shrinking Target Properties, Clay Mathematics Institute, February 2008.
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Seminar in analytic number theory (three
lectures),
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A slice of analytic number theory, Introduction to Mathematical Research,
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Martingales and continued fractions,
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Farey fractions with odd denominators, Number Theory Conference,
CONTRIBUTED
TALKS
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The group ring of Q/Z and an application of a divisor problem, British
Mathematical Colloquium,
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Farey fractions and the Riemann Hypothesis,
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Applications of martingale maximal inequalities to metric number
theory, Number Theory Fest,
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The generalized Riemann hypothesis and special subsets of the Farey fractions,
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Sieving methods, twin primes, and the large sieve,
GRADUATE
PROJECTS SUPERVISED
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Rachel Betz, Incompatibility of two well known conjectures in number
theory, Ph.D. qualifying exam, Spring 2008.
UNDERGRADUATE PROJECTS
SUPERVISED
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Zachary Ladner, Jamie Sloat, Robert Seilheimer, Inequalities for the number
of witnesses of composites, Summer 2005.
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Daniel Cornforth, David Holman, Optimizing algorithms to search for
BPSW pseudoprimes, Summer 2005.
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Chris Robinson, Equivalence classes for convex lattice polygons, Fall
2002.
SCHOLARLY
ACTIVITIES
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Member of the American Mathematical Society.
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Junior member of the Isaac Newton Institute for Mathematical Sciences.
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Organizer for a number theory/ dynamical systems study group (Fall
2007).
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Reviewer for Math Reviews and active referee for academic journals.
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Judge for the Siemens-Westinghouse competition (Fall 2006).
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Organizer for the Number Theory Seminar at UT
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Organizer for a graduate student seminar at UT Austin (2003-2005).
TEACHING
WORKSHOPS ATTENDED
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Emerging Scholars instructor workshop, August 2005.
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Teaching in mathematics, Fall 2001.
OTHER
RESEARCH EXPERIENCE
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‘Physics 11’ research group, California Institute of Technology, 1998-1999.
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Jet Propulsion Laboratory, California Institute of Technology, 1998.
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Research in symbolic dynamics, University of North Texas, 1997-1998.
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Particle accelerator laboratory, University of North Texas, 1996-1997.
REFERENCES
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Jeffrey Vaaler (thesis advisor)
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Department of Mathematics
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Phone: (512) 471-7125
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Email: vaaler@math.utexas.edu
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Alexandru Zaharescu
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Department of Mathematics
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Phone: (217) 265-5439
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Email: zaharesc@math.uiuc.edu
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Dmitry Kleinbock
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Department of Mathematics
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Phone: (781) 736-3059
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Email: kleinboc@brandeis.edu