This webpage contains the basic algebra course notes (Algebra 1–3,
in Dutch) used in the first two
years of the math program, as well as lecture notes and problem
collections of algebraic nature,
in various states of perfection.
Nederlands | ||
| Dictaat | Auteur | Jaar |
|---|---|---|
| Algebra 1 | Stevenhagen | 2025 |
| Algebra 2 | Stevenhagen | 2022 |
| Algebra 3 | Stevenhagen | 2025 |
| Representatietheorie | Daems, Palenstijn | 2003 |
| Opgaven klassenlichamentheorie | Lenstra | 1999 |
English |
||
| Course notes | Author | Year |
| Algebra 1 (translated by Reinie Erné, preliminary version) | Stevenhagen | 2025 |
| Algebra 3 (translated by Reinie Erné) | Stevenhagen | 2020 |
| Class Field Theory | Stevenhagen | 2002 |
| Exercises Class Field Theory | Lenstra | 1988 |
| Exercises Class Field Theory | Lenstra | 1993 |
| Elliptic Curves | Stevenhagen | 1997 |
| Elliptic Functions | Stevenhagen | 1992 |
| Galois theory for schemes | Lenstra | 2008 |
| Linear Algebra 1 | Stoll, van Luijk | 2017 |
| Linear Algebra 2 | Stoll, van Luijk | 2024 |
| Local Fields | Stevenhagen | 2002 |
| Modular Forms | Bruin, Dahmen | 2024 |
| Number Rings | Stevenhagen | 2019 |
| Permutation Groups | Weimar, Michielsen | 2008 |
| Topics in Algebra | Lenstra, Fendel, Harada | 2001 |
| Article | Author | Year |
| Artin Reciprocity | Lenstra, Stevenhagen | 2000 |
| Chebotarev Density Theorem | Lenstra, Stevenhagen | 1996 |
| Number Field Sieve | Stevenhagen | 2004 |
| Sieving Methods | Pomerance | 2004 |
| See also: Surveys in algorithmic number theory. | ||
| Notes | Author | Year |
| Lenstra: The Chebotarev Density Theorem | Voight | 2002 |
| Lenstra: The Idele Class Group | Voight | 2002 |
| Lenstra: Profinite Groups | Voight | 2002 |
| Lenstra: Galois Groups of Radical Extensions | Voight | 2002 |
| Stevenhagen: Class Field Theory | Voight | 2002 |
| Stevenhagen: Kummer Theory and Reciprocity Laws | Voight | 2002 |
| Stevenhagen: Primes Represented by Quadratic Forms | Voight | 2002 |