Dr Haluk Sengun

School of Mathematical and Physical Sciences

Senior Lecturer of Pure Mathematics

Member of One University Committee

Dr Haluk Sengun
Profile picture of Dr Haluk Sengun
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

Journal articles

  • Mesland B & Åžengün MH (2024) . Selecta Mathematica, 30(4).
  • Sengun MH & Siksek S (2018) . Commentarii Mathematici Helvetici, 93(2), 359-375.
  • Sengun MH & Siksek S (2016) . Commentarii Mathematici Helvetici.
  • Bergeron N, Sengun MH & Venkatesh A (2016) . Duke Mathematical Journal, 165(9), 1629-1693.

All publications

Edited books

  • Sengun M & Plymen R (Ed.) () K-Theory and Representation Theory. Cambridge University Press.

Journal articles

  • (2024) , ix-x.
  • Mesland B & Åžengün MH (2024) . Selecta Mathematica, 30(4).
  • Sengun MH (2023) Appendix; Torsion in the homology of principal congruence subgroups of Bianchi groups. Annales de l'Institut Fourier, 73(1), 329-333.
  • Mesland B & Sengun MH (2020) . Journal of Noncommutative Geometry, 14(1), 125-189.
  • Kizilaslan G & Sengun MH (2020) . International Journal of Number Theory, 16(04), 787-802.
  • Mesland B & Sengun MH (2018) . Annals of K-Theory, 3(4), 631-656.
  • Jones A & Sengun MH (2018) Mod p Base Change transfer for GL(2). Journal of the Ramanujan Mathematical Society, 33(3), 297-334.
  • Sengun MH & Siksek S (2018) . Commentarii Mathematici Helvetici, 93(2), 359-375.
  • Sengun MH & Siksek S (2016) . Commentarii Mathematici Helvetici.
  • Senguen MH & Tuerkelli S (2016) Lower Bounds on the Dimension of the Cohomology of Bianchi Groups via Sczech Cocyles. JOURNAL DE THEORIE DES NOMBRES DE BORDEAUX, 28(1), 237-260.
  • Bergeron N, Sengun MH & Venkatesh A (2016) . Duke Mathematical Journal, 165(9), 1629-1693.
  • Guitart X, Masdeu M & Sengun MH (2016) . Journal of Algebra, 445, 458-502.
  • Berger T, Dembele L, Pacetti A & Sengun MH (2015) . Journal of the London Mathematical Society, 2(92), 353-370.
  • Guitart X, Masdeu M & Senguen MH (2015) . Proceedings of the London Mathematical Society, 111(2), 484-518.
  • Åžengün MH (2014) , 279-315.
  • Rahm AD & Sengun MH (2013) . LMS Journal of Computation and Mathematics, 16, 187-199.
  • Rahm AD & Sengün MH (2013) On level one cuspidal Bianchi modular forms.. LMS J. Comput. Math., 16, 187-199.
  • Sengun MH (2012) On The Torsion Homology of Non-Arithmetic Hyperbolic Tetrahedral Groups. Int. Jour. Number Theory., 08(2), 311-320.
  • Sengun MH (2011) . Experimental Mathematics, 20(4), 487-505.
  • Senguen MH (2009) The nonexistence of certain representations of the absolute galois group of quadratic fields. PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 137(1), 27-35.
  • Sengün MH (2009) . Proceedings of the American Mathematical Society, 137, 27-35.
  • Sengun MH & Turkelli S () . Journal of Number Theory, 129(8), 2010-2019.

Book chapters

  • Sengun MH (2014) Arithmetic aspects of Bianchi groups, Computations with Modular Forms Proceedings of a Summer School and Conference, Heidelberg, August/September 2011 (pp. 279-315). Springer
  • Sengun M & Mesland B () Group C*-algebras, C*-correspondences and K-theory In Sengun M & Plymen R (Ed.), K-Theory and Representation Theory Cambridge University Press

Conference proceedings

  • Mesland B, Åžengün MH & Wang H (2020) . Operator Theory, Operator Algebras and Their Interactions with Geometry and Topology, Vol. 278 (pp 403-424). Shanghai, China, 23 July 2018 - 27 July 2018.

Preprints

  • Goffeng M, Mesland B & Sengun MH (2024) , arXiv.
  • Mesland B & Sengun MH (2017) , arXiv.
  • Jones A & Sengun MH (2016) , arXiv.
  • Mesland B & Sengun MH (2016) , arXiv.
  • Sengun MH & Siksek S (2016) , arXiv.
  • Guitart X, Masdeu M & Sengun MH (2015) , arXiv.
  • Guitart X, Masdeu M & Sengun MH (2014) , arXiv.
  • Berger T, Dembele L, Pacetti A & Sengun MH (2014) , arXiv.
  • Sengun MH (2014) , arXiv.
  • Bergeron N, Sengun MH & Venkatesh A (2014) , arXiv.
  • Sengun MH (2013) , arXiv.
  • Sengun MH (2012) , arXiv.
  • Sengun MH & Turkelli S (2012) , arXiv.
  • Sengun MH (2012) , arXiv.
  • Rahm AD & Sengun MH (2011) , arXiv.
  • Sengun MH (2010) , arXiv.
  • Sengun MH (2010) , arXiv.
  • Sengun MH & Turkelli S (2008) , arXiv.
Research group

Grants

Current Grant

  
A torsion Jacquet-Langlands Transfer via K-theory EPSRC
Teaching activities
MAS220 Algebra
MAS430 Analytic Number Theory

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