Dr Haluk Sengun

All publications

Edited books

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

Journal articles

• (2024) Preface, ix-x.
• Mesland B & Şengün MH (2024) Equal rank local theta correspondence as a strong Morita equivalence. Selecta Mathematica, 30(4). View this article in WRRO
• Sengun MH (2023) Appendix; Torsion in the homology of principal congruence subgroups of Bianchi groups. Annales de l'Institut Fourier, 73(1), 329-333. View this article in WRRO
• Mesland B & Sengun MH (2020) Hecke operators in KK-theory and the K-homology of Bianchi groups. Journal of Noncommutative Geometry, 14(1), 125-189.
• Kizilaslan G & Sengun MH (2020) Torsion homology growth for noncongruence subgroups of Bianchi groups. International Journal of Number Theory, 16(04), 787-802. View this article in WRRO
• Mesland B & Sengun MH (2018) Hecke modules for arithmetic groups via bivariant K -theory. Annals of K-Theory, 3(4), 631-656. View this article in WRRO
• 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) On the asymptotic Fermat’s last theorem over number fields. Commentarii Mathematici Helvetici, 93(2), 359-375.
• Sengun MH & Siksek S (2016) On the asymptotic Fermat's Last Theorem over number fields. 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. View this article in WRRO
• Bergeron N, Sengun MH & Venkatesh A (2016) Torsion homology growth and cycle complexity of arithmetic manifolds. Duke Mathematical Journal, 165(9), 1629-1693.
• Guitart X, Masdeu M & Sengun MH (2016) Uniformization of modular elliptic curves via p-adic periods. Journal of Algebra, 445, 458-502. View this article in WRRO
• Berger T, Dembele L, Pacetti A & Sengun MH (2015) Theta lifts of Bianchi modular forms and applications to paramodularity. Journal of the London Mathematical Society, 2(92), 353-370. View this article in WRRO
• Guitart X, Masdeu M & Senguen MH (2015) Darmon points on elliptic curves over number fields of arbitrary signature. Proceedings of the London Mathematical Society, 111(2), 484-518. View this article in WRRO
• Şengün MH (2014) Arithmetic Aspects of Bianchi Groups, 279-315.
• Rahm AD & Sengun MH (2013) On Level One Cuspidal Bianchi Modular Forms. LMS Journal of Computation and Mathematics, 16, 187-199. View this article in WRRO
• 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) On the Integral Cohomology of Bianchi groups. Experimental Mathematics, 20(4), 487-505. View this article in WRRO
• 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) The Nonexistence of Certain Representations of the Absolute Galois Group of Quadratic Fields. Proceedings of the American Mathematical Society, 137, 27-35. View this article in WRRO
• Sengun MH & Turkelli S () Weight Reduction for Mod l Bianchi Modular Forms. Journal of Number Theory, 129(8), 2010-2019. View this article in WRRO

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, Şengün MH & Wang H (2020) A K-theoretic Selberg trace formula. 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) Theta correspondence via group C*-algebras, arXiv.
• Mesland B & Sengun MH (2017) Hecke modules for arithmetic groups via bivariant K-theory, arXiv.
• Jones A & Sengun MH (2016) Mod p Base Change transfer for GL(2), arXiv.
• Mesland B & Sengun MH (2016) Hecke operators in KK-theory and the K-homology of Bianchi groups, arXiv.
• Sengun MH & Siksek S (2016) On the asymptotic Fermat's Last Theorem over number fields, arXiv.
• Guitart X, Masdeu M & Sengun MH (2015) Uniformization of modular elliptic curves via p-adic periods, arXiv.
• Guitart X, Masdeu M & Sengun MH (2014) Darmon points on elliptic curves over number fields of arbitrary signature, arXiv.
• Berger T, Dembele L, Pacetti A & Sengun MH (2014) Theta Lifts of Bianchi Modular Forms and Applications to Paramodularity, arXiv.
• Sengun MH (2014) An Introduction to A-polynomials and their Mahler Measures, arXiv.
• Bergeron N, Sengun MH & Venkatesh A (2014) Torsion homology growth and cycle complexity of arithmetic manifolds, arXiv.
• Sengun MH (2013) The Nonexistence of Certain Representations of the Absolute Galois Group of Quadratic Fields, arXiv.
• Sengun MH (2012) Arithmetic Aspects of Bianchi Groups, arXiv.
• Sengun MH & Turkelli S (2012) On the Dimension of Cohomology of Bianchi Groups, arXiv.
• Sengun MH (2012) Some Applications of Number Theory to 3-Manifold Theory, arXiv.
• Rahm AD & Sengun MH (2011) On Level One Cuspidal Bianchi Modular Forms, arXiv.
• Sengun MH (2010) On The Torsion Homology of Non-Arithmetic Hyperbolic Tetrahedral Groups, arXiv.
• Sengun MH (2010) On the Integral Cohomology of Bianchi groups, arXiv.
• Sengun MH & Turkelli S (2008) Weight Reduction for Mod l Bianchi Modular Forms, arXiv.