Dr Haluk Sengun
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Research:
| Interests: | Algebraic number theory, automorphic forms, Galois representations |
| Research group: | Number Theory |
| Publications: | ArXiv, MathSciNet |
Grants
| Current grants, as Principal Investigator | |
| A torsion Jacquet-Langlands Transfer via K-theory | EPSRC |
Biography:
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.
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).
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).