


teaching
this page contains lecture notes and other material for the courses i am teaching. if interested in the LaTeX source or problem sheets, please email me.
elliptic curves
i started to teach a course on elliptic curves in 2017.
it is aimed at third year student here at nottingham that have never seen any algebraic geometry.
in that it is rather different than other courses on elliptic curves.
nottingham students can find all information on this module on its moodle page.
here are the complete lecture notes on this module as i gave it in 2017.
the students were given a version without the pictures.
elementary number theory
since 2015 i am teaching a course on number theory as the second part of a year 2 module called algebra and number theory.
nottingham students can find all information on this module on its moodle page.
here are the complete lecture notes on this module as i gave it in 2017.
group theory
20122016 i was teaching a course on group theory.
here are the complete lecture notes on this module as i gave it in 2016.
coding and cryptography
for many years, i was teaching a course on coding and cryptography.
the lecture notes with all problem sheets are here.
there used to be an active wiki on this, but it is now no longer permitted by the uni of nottingham to run such an open wiki, so i had to take it offline.
further number theory
i was teaching the course g13fnt for a number of years. it contained the following chapters:
Prime numbers, Quadratic reciprocity, Bernoulli numbers, Lfunctions, Gaussian integers , and padic numbers.
algebraic number theory
in 2005/6 i was teaching a course on algebraic number theory
in the masters program at the épfl.
the course covered both the classical approach via ideals as well as an introduction to the theory of valuations and adèles.
here are the lecture notes in french: I am indebted to Sébastien Nobs for having written up the notes of the full course. These notes are not corrected, and probably never will. pdf.
further material for that course is put either take the complete collection here.

