Slides from talks.
Here are some slides from talks I have given. This is by no means a complete list; if you
saw me speak somewhere and want a copy of the slides, and if they are not here, please write to me
and ask. My email address is here.
-
Powers of 3 with few nonzero bits and a conjecture of Erdős.
Presented at the
University of Florida
Math Department Colloquium
on 25 October 2023.
-
Fallibility and other real-life problems.
Presented at the
Conference on Open Questions in Number Theory and Cryptography
in honor of Alice Silverberg's 60th birthday,
held at the University of California, Irvine, 17–21 September 2018.
-
Estimating the number of genus-2 curves over a finite field with split Jacobians.
Presented at the
SIAM Conference on Applied Algebraic Geometry
in Fort Collins, Colorado, 1–4 August 2013.
-
Three-gluings of elliptic curves.
Presented at
GeoCrypt 2011 in Bastia, Corsica, 20–24 June 2011.
-
New results on curves of genus 4.
Presented at
Arithmetic, Geometry, Cryptography, and Coding Theory (AGCT-13),
Centre International de Rencontres Mathématiques, Marseille, France, 14–18 March 2011.
-
A Diophantine equation.
Presented at the rump session of
ECC 2009 in Calgary, Alberta on 24 August 2009, in response
to the talk given earlier in the day
by Vassil Dimitrov.
-
Abelian varieties without algebraic geometry, based on
my thesis and on work in progress with Kristin Lauter, some of it
summarized in the Papeete talk below. Presented at
GeoCrypt 2009 in Pointe-à-Pitre, Guadeloupe, 27 April – 1 May 2009.
-
Nonisomorphic curves that become isomorphic over extensions of coprime degrees, based on
work with Danny Goldstein, Bob Guralnick, and Mike Zieve.
Presented at the AMS/MAA joint meetings in San Diego, California in January 2008.
-
Characteristic polynomials of automorphisms of hyperelliptic curves,
based on an early version of this paper with Bob Guralnick. Note that the
results improved after the talk was given.
Presented at
Arithmetic, Geometry, Cryptography, and Coding Theory (AGCT-11),
Centre International de Rencontres Mathématiques, Marseille, France, 5–9 November 2007.
-
Even sharper upper bounds on the number of points on curves,
based on work in progress with Kristin Lauter and on
this paper.
Presented at the
first Symposium on Algebraic Geometry and its Applications,
Papeete, French Polynesia, 7–11 May 2007, and at the University of California, San Diego number
theory seminar, 24 May 2007.
-
Higher-order Carmichael numbers,
based on this paper.
Colorado State University Mathematics Colloquium,
6 December 2006.
-
Low-genus curves over finite fields: Problems and variations.
Presented at the IPAM
workshop on Open Problems in Number Theory and Cryptography, 9–13 October 2006.
-
Jacobians in isogeny classes of abelian surfaces over finite fields, based on
work with Enric Nart and Christophe Ritzenthaler.
Presented at the AMS sectional meeting in San Francisco, California in April 2006.
The TeX file for these slides is available as a sample
of how to use Beamer with
many of the features turned off.
-
Pointless curves of genus three and four, based on
work with Kristin Lauter and Jaap Top.
Presented at the AMS/MAA joint meetings in San Antonio, Texas in January 2006.
Return to Everett Howe's homepage.