Dr Haluk Sengun

Position: Lecturer
Home page: https://sites.google.com/site/mhaluksengun/
Telephone: (0114) 2223725
Office: J10 Hicks building
Photo of Haluk Sengun


Interests: Algebraic number theory, automorphic forms, Galois representations
Research group: Number Theory
Publications: ArXiv, MathSciNet


Current grants, as Principal Investigator
A torsion Jacquet-Langlands Transfer via K-theory


I got my BSc from Istanbul Bilgi University and my PhD from the University of Wisconsin
at Madison. I held post-doctoral positions at Barcelona, Bonn, Essen and Warwick.

Research interests:

I am interested in the cohomology and K-theory of arithmetic groups, automorphic forms, abelian
varieties, Galois representations and the mostly conjectural connections between them
as envisioned by the Langlands Programme. I especially study the above objects in the
setting where the relevant arithmetic groups live in the Lie group $PSL(2,\mathbb{C})$ (such as
"Bianchi groups"). I enjoy developing computer programs and carrying out numerical
experiments to explore and gain insight.

I am also involved in the construction of a database on Bianchi modular forms (that is,
modular forms for $GL(2)$ over imaginary quadratic fields) and related arithmetic data
inside the L-functions and Modular Forms Database (LMFDB).