Homepage of Alp Bassa

ALP Alp Bassa

Boğaziçi University

Faculty of Arts and Sciences

Department of Mathematics

34342 Bebek, Istanbul - Turkey


E-mail: alp.bassa (at) boun.edu.tr

Curriculum vitae

I am associate professor at Boğaziçi University in Istanbul.

Publications and Preprints

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.

Bassa, A., Garcia, A., Stichtenoth, H., A new tower over cubic finite fields, Moscow Mathematical Journal 8 (2008), no. 3, 401–418.

Bassa, A., Beelen, P., On the construction of Galois towers, Contemporary Mathematics 487 (2009), 9–20.

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.

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 Galois closure of Drinfeld modular towers, Journal of Number Theory 131 (2011), no. 3, 561–577.

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., Explicit equations for Drinfeld modular towers, arXiv:1110.6076v1 [math.NT].

Bassa, A., Beelen, P., A closed form expression for the Drinfeld modular polynomial $\Phi_T(X,Y)$, Archiv der Mathematik 99 (2012), 237–245. (arXiv version: arXiv:1203.6288 [math.NT])

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., Nguyen, N., Good Towers of Function Fields, arXiv:1309.4951 [math.NT], in 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., Beelen, P., Garcia, A., Stichtenoth, H., Galois Towers over Non-prime Finite Fields, Acta Arithmetica 164 (2014), 163–179. (arXiv version: arXiv:1311.1779 [math.AG]).

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., Towers of Function Fields over Non-prime Finite Fields, arXiv:1202.5922v2 [math.AG], Moscow Mathematical Journal Vol. 15(1) (2015), 1–29.

Bassa, A., Beelen, P., Nguyen, N., Good families of Drinfeld modular curves, arXiv:1608.07422 [math.NT], LMS Journal of Computation and Mathematics, 18 (1) (2015), 699–712.

Anbar, N., Bassa, A., Beelen, P., A modular interpretation of various cubic towers, arXiv:1610.05157 [math.NT], Journal of Number Theory, 171 (2017) 341–357.

Anbar, N., Bassa, A., Beelen, P., A complete characterization of Galois subfields of the generalized Giulietti–Korchmáros function field, arXiv:1610.00567 [math.NT], Finite Fields and their Applications, 48 (2017), 318–330.

Bassa, A., Stichtenoth, H., Self-Dual Codes better than the Gilbert--Varshamov bound, arXiv:1709.07221 [cs.IT]

Edited Books

Arithmetic, Geometry, Cryptography and Coding Theory, edited with Alain Couvreur and David Kohel, AMS Contemporary Mathematics, 686, 2017.

Popular Mathematics (in Turkish)

Keşiflere Açılan Kapı: Hatalar, Matematik Dünyası 2014-I (A. Bassa, E. Özman)

A4 kağıt, Pentagon ve Arşimet'in Sığırları, Matematik Dünyası 2014-II (A. Bassa, E. Özman)

El “escándalo de los motores diésel de la VW” en el sistema educacional: Una posible solución, La Segunda, 13.11.2015 (English translation)

Links

Workshop on Function Field Arithmetic

TMD İstanbul Matematik Gündemi

Ankara İstanbul Algebraic Geometry and Number Theory Meetings

İstanbul Number Theory Meetings

Courses

Elliptic Functions, Modular Forms and Riemann Surfaces II (graduate course offered in Fall 2016 at Boğaziçi University)

Introduction to Algebraic Geometry (graduate course offered in Fall 2013/14 together with Emrah Çakçak and Özer Öztürk)

Elementary Number Theory (undergraduate course offered in Fall 2014 at Boğaziçi University)

Algebra II (graduate course offered in Spring 2015 at Boğaziçi University)

Elliptic Functions, Modular Forms and Riemann Surfaces (graduate course offered in Spring 2016 at Boğaziçi University)