Math 463/563: Advanced Algebra I. (Fall 2022) Syllabus
Research Papers
Partially supported by National Science Foundation grants DMS-1902274 and
CAREER award DMS-1352291. Any opinions,
findings, and
conclusions or recommendations expressed in this material are those of the author, and do not necessarily
reflect the views of the National Science Foundation.
Locally recoverable codes
from algebraic curves and surfaces
(with A. Barg, K. Haymaker, E. W. Howe, and G. Matthews) Algebraic Geometry for Coding
Theory and Cryptography (E. Howe, K. Lauter, and J. Walker eds.),
Association for Women in Mathematics 9 (2017), 95-127.
Brauer groups on K3 surfaces and arithmetic applications
(with K. McKinnie, J. Sawon and S. Tanimoto) Brauer groups and obstruction
problems: moduli spaces and arithmetic (A. Auel, B. Hassett, A. Várilly-Alvarado, and B. Viray eds.), Progress in Mathematics 320 (2017), 177-218.
Arithmetic of del Pezzo surfaces Birational geometry, rational curves, and arithmetic (F. Bogomolov, B. Hassett and Y. Tschinkel eds.)
Simons Symposia 1 (2013), 293-319.
I gave a mini-course on the arithmetic of del Pezzo surfaces at the conference Arithmetic of Surfaces in
October 2010. I prepared some lecture notes to accompany the
mini-course. The first two lectures were ''chalkboard talks''. For the last lecture I used slides for reasons that will be apparent if you look at the last few
slides.
Joint Mathematics Meetings AMS Special Session on Rational Points on Algebraic Varieties: Theory and Computation (Co-organized with Brendan Hassett and Drew Sutherland)