Regular biography
Dawid Kielak is a Research Fellow at the Mathematical Institute, University of Oxford, within the Department of Mathematics. He holds the title of Professor of Pure Mathematics and is a Tutorial Fellow of Hertford College. His research interests include Geometric Group Theory and group rings. Kielak has contributed to various areas of mathematics, including virtually free-by-cyclic groups, property (T) for automorphism groups, and virtual fibring of manifolds and groups. He has published in prestigious journals such as Geometric and Functional Analysis and the Journal of the American Mathematical Society. Additionally, he is involved in teaching Pure maths tutorials at Hertford College.
Scholar-generated biography
Dawid Kielak is a researcher in Geometric Group Theory, focusing on the structure and properties of groups through geometric and algebraic methods. His work explores topics such as virtual fibring, amenability, property (T), and CAT(0) groups. Kielak investigates the Bieri–Neumann–Strebel invariants, Alexander and Thurston norms, and the Farrell–Jones Conjecture, often in the context of free-by-cyclic groups and three-manifold groups. His research also includes the study of outer automorphism groups of free groups, warped cones, and ℓ2-Betti numbers. Kielak's contributions span both theoretical and applied aspects of group theory, with an emphasis on connections to topology and geometry.