Here are some labs and lecture notes run by Dr Nicolas Courtois at UCL in 2010-2020 as part of various modules UCL GA18 Cryptanalysis:, COMP 0058 AppliedCryptogrpahy, F2F SAGE Maths Refesher etc. The most recent teaching materials appear first.

1. Most recent labs from 2020:
   • LabF0 on installing SAGE, modular arithmetic and groups.
2. Some lecture notes for UCL GA18 Cryptanalysis:
   • Intro slides about, algebra finite fields and elliptic curves: groups and ECCs with exercises.
   • [optional] algebra for cryptographers old basic intro slides.
   • Intro slides to Number Theory by Christophe Petit in 2015-2016.
   • Excellent slides about factoring and discrete log cryptanalysis by Christophe Petit in 2015-16.
     
     
3. More recent 2019 UCL COMP0058 Applied Crypto and Cryptanalysis SAGE labs by Nicolas Courtois et al:
   • Lab00 on installing SAGE modular arithmetic and Finite Fields.
   • Lab01 and more Finite Fields and arithmetic.
   • Lab02 on polynomials, extension fields, and polynomial rings.
   • Lab03 on Bézout, modular inverses and Fermat factoring.
   • Lab04 on PK crypto, SCA on RSA, Rabin.
   • Lab05 on Elliptic Curves intro.
   • Lab06 on Elliptic Curves and Isogenies.
   • Lab07 on  Lagrange Interpolation, EC Diffie-Hellman and Elliptic Curve Factoring algorithm.
   • Old Lab3 on DL Attacks.
   • Old Lab4 on Lab 4 – LLL and Knapsacks.
   • Old Lab5 on Lab 5 – Index Calculus.
   • Old Lab7 on Coppersmith DL Attack.
   • Old Lab8 on Hidden Field Equations (HFE).
4. Old 2017 or so GA18 Number Theory tutorials done UCL in Jan-March 2018 by Nicolas Courtois Jonathan  Bootle and Peter Spacek:
   • Lab0 on installing sage and basic modular arithmetic.
   • Lab1 on Introduction to SAGE Euclid and primality.
   • Lab2 on Algorithmic Number Theory and Fermat.
   • Lab3 on DL Attacks.
   • Lab4 on Lab 4 – LLL and Knapsacks.
   • Lab5 on Lab 5 – Index Calculus and SCA Attacks on RSA.
   • Lab6 on Elliptic Curves and Factoring.
   • Here is our tutorial on SNSF from 2017.
   • Lab7 on Coppersmith DL Attack.
   • Lab8 on Hidden Field Equations (HFE).
   • Our tutorial on TwoFace public key cryptosystems.
   • All in one file 2018 versions can be found here.
5. Even older 2017 versions are here.
6. Old 2016 tutorial on Index Calculus by Mary Maller questions/ answers.