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Athena SWAN Bronze Award

Supporter of LMS Good Practice Award

Dr Alan Haynes

Research group:
PhD, UT Austin, 2006
Lecturer
Research Fellow


RESEARCH INTERESTS

My main interest is in discovering concrete ways in which deep mathematical theories and tools can be used to understand and model reality. The core of my mathematical expertise lies in the fields of analytic number theory, Diophantine approximation, probability theory, dynamical systems, and ergodic theory. At present I am investigating questions in the theory of mathematical quasi-crystals, to try to determine when different quasi-crystals constructed using particular techniques can be deformed nicely into each other. These questions are phrased in the languages of topological groups and algebraic topology, and appear to be closely linked with well known problems in Diophantine approximation.


TEACHING

Year: 2014/15
Title Course category Term
Galois Theory 3rd year Autumn


PUBLICATIONS

In Press

Haynes A, Ghosh A.  In Press.  Projective metric number theory. J. Reine Angew. Math. (Crelle's Journal).

2014

Hawkins E, Haynes A.  2014.  Deformation Quantization and Irrational Numbers. Journal of Symplectic Geometry. 12(1):1–22.

2013

2012

2011

2010

Haynes A.  2010.  The metric theory of p-adic approximation. International Math Research Notices. (1)

See all years

Edited 24 Feb 2014 - 22:34 by akh502

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Contact Details

Dr Alan Haynes
Department of Mathematics
University of York
York, YO10 5DD


Tel:+44 1904 32 4305
Fax: +44 1904 32 3071
Office:G/007

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