PhD Course
"Parameterized Algorithms, Parameterized Complexity, and Fixed-Parameter Tractability"
This is the lecturer's page for the course.
The department's page for the course is: https://dottorato.di.unimi.it/index.php/teaching/2021-2023/146-parameterized-algorithms-parameterized-complexity-and-fixed-parameter-tractability-march-2023
Books etc.
I recommend the two books below; they give a very complete picture of the subject.
Jörg Flum, Martin Grohe
Parameterized Complexity Theory
Springer Berlin, Heidelberg
https://doi.org/10.1007/3-540-29953-X (with PDF available)
Marek Cygan, Fedor V. Fomin, Łukasz Kowalik, Daniel Lokshtanov, Dániel Marx, Marcin Pilipczuk, Michał Pilipczuk, Saket Saurabh
Parameterized Algorithms
Springer Cham
https://doi.org/10.1007/978-3-319-21275-3
PDF by the authors: https://www.mimuw.edu.pl/~malcin/book/parameterized-algorithms.pdf