Module 01
17–28 January 2027
Chapter IFrancesco Pappalardi & Chantal David
Mappings and Operations
- Functions, composition and invertibility
- Binary operations; composition viewed as an operation
Kurdistan Algebra Project · 2027 edition
A new year of
shared mathematics.
Preliminary teaching programme · January–May 2027
Preliminary programme
Dates and lecturer participation are provisional and subject to confirmation. Further course details will follow.
Dates and lecturer participation are provisional and subject to confirmation. Further course details will follow.
Teaching schedule
| Module / Activity | Dates | Lecturer(s) |
|---|---|---|
| 1st module | 17–28 January | Francesco Pappalardi & Chantal David |
| 2nd module | 31 January–11 February | Ahmad El-Guindy |
| 3rd module | 14–25 February | Lea Terracini & Laura Geatti |
| Tutorials / Midterm | 28 February–4 March | Michel Waldschmidt |
| Newroz / end-of-Ramadan break | 6–27 March | — |
| 4th module | 28 March–8 April | Valerio Talamanca |
| 5th module | 11–22 April | Rhiane Salah |
| 6th module | 25 April–6 May | Frank Neumann |
| Final exam | May | — |
Module topics
Based on the sixth edition of Durbin’s Modern Algebra: An Introduction. Chapter numbers below refer to the Roman-numbered chapters of the book.
Module 02
31 January–11 February 2027
Chapter IIAhmad El-Guindy
Introduction to Groups
- Group axioms and examples
- Permutations, subgroups and symmetry
Module 03
14–25 February 2027
Chapter IIILea Terracini & Laura Geatti
Equivalence, Congruence and Divisibility
- Equivalence relations and modular arithmetic
- Division and Euclidean algorithms; greatest common divisors
- Integer factorisation and Euler’s phi function
Module 04
28 March–8 April 2027
Chapter IVValerio Talamanca
Groups
- Basic group properties, generators and direct products
- Cosets, Lagrange’s theorem and cyclic groups
- Isomorphisms and Cayley’s theorem; RSA appendix
Module 05
11–22 April 2027
Chapter V & XIV (sections 56–57)Rhiane Salah
Group Homomorphisms and Group Actions
- Homomorphisms, kernels and quotient groups
- Fundamental homomorphism theorem
- Group actions and Burnside’s counting theorem
Module 06
25 April–6 May 2027
Chapter XIII & XIV (section 58)Frank Neumann
Solvable Groups and Sylow’s Theorem
- Isomorphism theorems, solvable groups and alternating groups
- Sylow’s theorem and applications
Chapter XIV is split between module 5 (sections 56–57: group actions and Burnside’s counting theorem) and module 6 (section 58: Sylow’s theorem).
Chapter references: Durbin, sixth edition — contents and preview.
Textbook
J. R. Durbin, Modern Algebra: An Introduction, John Wiley & Sons.
Read the e-book on Perlego (subscription required) · Book preview
Location
College of Science, Salahaddin University-Erbil, Kurdistan, Iraq.
2027 coordinator
The coordinator for the 2027 edition has not yet been appointed.
Explore the 2026 programme and materials →