Title: Professor of Pure Mathematics
Curriculum Vitae Publication list: To learn about some of my more recent interests, look here or here.
The current hot topic for me is the new efficient congruencing approach to Vinogradov's mean value theorem, which for the first time comes within a factor of two of delivering the best possible bounds for the number of variables required to deliver optimal estimates. You can read about this subject here and here.
Notes on the recent publication: J. Bruedern, K. Kawada and T. D. Wooley, "Additive representation in thin sequences, VIII: Diophantine inequalities in review", in: Number Theory, Dreaming in Dreams, Proceedings of the 5th China-Japan Seminar, Eds. T. Aoki, S. Kanemitsu and J. Y. Liu, World Scientific, 2009, pp. 20--79.
New scientist article on partitions and Ken Ono: what comments did I really make? ... and ... Frank Calegari's 7-line proof
Strategic Director of Heilbronn Institute for Mathematical Research (HIMR)
If you have questions or interest in HIMR, please contact the Associate Director (Olly Johnson) at assoc-director-himr@bristol.ac.uk
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Teaching:2012 Teaching Block 2: Number Theory M30200 (updated 17th May 2012).
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Editorial work:
I'm on the Editorial Committee of MATHEMATICAL REVIEWS, run by the American Mathematical Society. If you have comments or questions, or wish to report mistakes/corrections in MathSciNet/MR reviews, please consider first whether it may be more appropriate to send email first directly to Mathematical Reviews at mathrev@ams.org. It is likely that this will bring a faster and more informed response to specific issues than emailing me on such issues. I am happy, of course, to bring general issues and suggestions to the attention of Mathematical Reviews.
I'm on the Editorial Board for COMPOSITIO MATHEMATICA. If you want to submit a paper to this journal, DO NOT send the manuscript directly to me, neither by paper mail nor electronically. See here for submission instructions.
I'm on the Editorial Board for the ONLINE JOURNAL OF ANALYTIC COMBINATORICS. If you want to submit a paper to this journal, DO NOT send the manuscript directly to me, neither by paper mail nor electronically. See here for submission instructions.
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Slides of Bristol Colloquium (19/11/2007): Waring's problem, the declining exchange rate between small powers, and the story of 13,792.
My students:
Damaris Schindler (PhD 201?, University of Bristol);
Eugen Keil (PhD 201?, University of Bristol);
Thomas Bloom (PhD 201?, University of Bristol);
Julia Brandes (PhD 201?, University of Bristol);
Siu Lun Alan Lee (PhD 201?, University of Bristol);
Sean Prendiville (PhD 2011, University of Bristol);
Craig Spencer (PhD 2008, University of Michigan; now at Kansas State University);
Matthew Smith (PhD 2007, University of Michigan; now at Berklee College of Music);
Mike Knapp (PhD 2000, University of Michigan; now at Loyola College);
Scott Parsell (PhD 1999, University of Michigan; now at West Chester University);
Eric Freeman (PhD 1999, University of Michigan; now at University of California, Berkeley;)
Joel Wisdom (PhD 1998, University of Michigan; now at U.S. Government)
Greg Martin (PhD 1997, University of Michigan, now at University of British Columbia)
Morley Davidson (PhD 1995, University of Michigan; now at Kent State University, Ohio) NEWS ITEM!