Department of Mathematics

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Alp Bassa, Ph.D., Associate Professor
Personal URL Web Page
E-mail alp.bassa boun.edu.tr
Office  TB 140B
Phone (office) + 90 (212) 359 6832
Address Bogaziçi University
Faculty of Arts and Science
Department of Mathematics
34342, Bebek-Istanbul, Turkey
 : : Education
2007. Ph.D. in Mathematics, Universität Duisburg-Essen, Essen, Germany
2004. B.S. in Computer Engineering, Middle East Technical University, Ankara
2004. B.S. in Mathematics, Middle East Technical University, Ankara
 : : Areas of Interest
Number Theory
 : : Publications
 
  • Bassa, A., Ritzenthaler, C., Good recursive towers over prime fields exist, Mathematische Annalen 378 (2020) 599-604.
  • Bassa, A., Menares, R., Enumeration of a special class of irreducible polynomials in characteristic 2, Acta Arithmetica 194 (2020) , 51-57.
  • Bassa, A., Tutaş, N., Extending self-orthogonal codes, Turkish Journal of Mathematics, 43, (2019), 2177-2182.
  • Bassa A., Stichtenoth H., Self-Dual Codes better than the Gilbert--Varshamov bound, Designs, Codes and Cryptograph (2019) 87:173–182.
  • Bassa A., Beelen P., On the Deuring Polynomial for Drinfeld Modules in Legendre Form, Acta Arithmetica 186 (2018), 179–190.
  • Arithmetic, Geometry, Cryptography and Coding Theory, edited by Alp Bassa, Alain Couvreur and David Kohel, AMS Contemporary Mathematics, 686, 2017.
  • Anbar, N., Bassa, A., Beelen, P., A modular interpretation of various cubic towers, Journal of Number Theory, 171 (2017) 341–357.
  • Anbar, N., Bassa, A., Beelen, P., A complete characterization of Galois subfıelds of the generalized Giulietti–Korchmaros function fıeld, Finite Fields and their Applications, 48 (2017), 318–330.
  • Bassa, A., Beelen, P., Garcia, A., Stichtenoth, H., Towers of Function Fields over Non-prime Finite Fields, Moscow Mathematical Journal Vol. 15(1) (2015), 1–29
  • Bassa, A., Beelen, P., Nguyen, N., Good families of Drinfeld modular curves, LMS Journal of Computation and Mathematics, 18 (1) (2015), 699–712.
  • Bassa, A., Beelen, P., Garcia, A., Stichtenoth, H., An Improvement of the Gilbert-Varshamov Bound over Non-prime Fields, IEEE Transactions on Information Theory, Vol. 60(7) (2014), 3859 - 3861.
  • Bassa, A., Beelen, P., Garcia, A., Stichtenoth, H., Galois Towers over Non-prime Finite Fields, Acta Arith. 164 (2014), 163-179.
  • Bassa, A., Beelen, P., Nguyen, N., Good Towers of Function Fields, Algebraic Curves and Finite Fields: Codes, Cryptography, and other Emergent Applications (H. Niederreiter, A. Ostafe, D. Panario, and A. Winterhof, eds.), de Gruyter, Berlin.
  • Bassa, A., Ma, L., Xing, C., Yeo, S. L., Towards a characterization of subfields of the Deligne-Lusztig function fields, Journal of Combinatorial Theory, Series A 120 (2013), 1351-1371.
  • Bassa, A., Beelen, P., A closed form expression for the Drinfeld modular polynomial $\Phi_T(X,Y)$, Archiv der Mathematik 99 (2012), 237-245.
  • Bassa, A., Beelen, P., A proof of a conjecture by Schweizer on the Drinfeld modular polynomial $\Phi_T(X,Y)$, Journal of Number Theory 131 (2011), no. 7, 1276-1285.
  • Bassa, A., Beelen, P., The Galois closure of Drinfeld modular towers, Journal of Number Theory 131 (2011), no. 3, 561-577.
  • Unel, M., Soldea, O., Ozgur, E., Bassa, A., 3D object recognition using invariants of 2D projection curves, Pattern Analysis and Applications 13 (2010), 451-468.
  • Bassa, A., Beelen, P., The Hasse-Witt invariant in some towers of function fields over finite fields, Bulletin of the Brazilian Mathematical Society 41 (2010), no. 4, 567-582.
  • Bassa, A., Beelen, P., On the construction of Galois towers, Contemporary Mathematics 487 (2009), 9-20.
  • Bassa, A., Garcia, A., Stichtenoth, H., A new tower over cubic finite fields, Moscow Mathematical Journal 8 (2008), no. 3, 401-418.
  • Bassa, A., Stichtenoth, H., A simplifed proof for the limit of a tower over a cubic finite field, Journal of Number Theory 123 (2007), no. 1, 154-169.
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