Dr Haluk Sengun

School of Mathematical and Physical Sciences

Senior Lecturer of Pure Mathematics

Member of One University Committee

m.sengun@sheffield.ac.uk

J06a, Hicks Building

Full contact details

Dr Haluk Sengun
School of Mathematical and Physical Sciences
J06a
Hicks Building
Hounsfield Road
Sheffield
S3 7RH

Profile: 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,C) (such as "Bianchi groups"). I enjoy developing computer programs and carrying out numerical experiments to explore and gain insight.

Publications

Show: Featured publications All publications

Featured publications

Mesland B & Şengün MH (2024) Equal rank local theta correspondence as a strong Morita equivalence. Selecta Mathematica, 30(4).
Sengun MH & Siksek S (2018) On the asymptotic Fermat’s last theorem over number fields. Commentarii Mathematici Helvetici, 93(2), 359-375. View this article in WRRO
Sengun MH & Siksek S (2016) On the asymptotic Fermat's Last Theorem over number fields. Commentarii Mathematici Helvetici.
Bergeron N, Sengun MH & Venkatesh A (2016) Torsion homology growth and cycle complexity of arithmetic manifolds. Duke Mathematical Journal, 165(9), 1629-1693. View this article in WRRO

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Grants

Current Grant
A torsion Jacquet-Langlands Transfer via K-theory	EPSRC

Teaching activities

MAS220	Algebra
MAS430	Analytic Number Theory