Ph.D.

Leyla Işık, Thesis Advisor: Alev Topuzoğlu
Thesis Title: On Complete Mappings and Value Sets of Polynomials over Finite Fields

Funda Özdemir, Thesis Advisor: Cem Güneri
Thesis Title: On Additive Cyclic Codes

Canan Kaşıkçı, Thesis Advisor: Alev Topuzoğlu
Thesis Title: On the Spectra of Quadratic Functions

Buket Özkaya, PhD 2014, Thesis Advisor: Cem Güneri
Thesis Title: Multidimensional QuasiCyclic And Convolutional Codes

Özgür Polat, PhD 2014, Thesis Advisor: Henning Stichtenoth Thesis Title: Decomposition of Primes in NonGalois Extensions Position: PostDoc at Sabancı University (2014  )

Seher Tutdere, PhD 2012, Thesis Advisor: Henning Stichtenoth Thesis Title: On the Asymptotic Theory of Towers of Function Fields over Finite Fields Position: PostDoc at Middle East Technical University (20122013), Faculty Member at Gebze Institute of Technology (2013  ) Publications with Sabancı University Address: 1. N. Anbar, H. Stichtenoth & S. Tutdere, "On ramification in the compositum of function fields", Bulletin of the Brazilian Mathematical Society, v. 40, no. 4, 539552, 2009. 2. F. Hess, H. Stichtenoth & S. Tutdere, "On invariants of towers of function fields over finite fields", Journal of Algebra and Its Applications, v. 12, no. 4, 2013.

Nurdagül Anbar, PhD 2012, Thesis Advisor: Henning Stichtenoth Thesis Title: On Algebraic Curves in Prime Characteristic Position: PostDoc at Sabancı University (20122014), Visiting Max Planck Institute for Mathematics, Bonn (March 2014  ) Publications with Sabancı University Address: 1. N. Anbar, H. Stichtenoth & S. Tutdere, "On ramification in the compositum of function fields", Bulletin of the Brazilian Mathematical Society, v. 40, no. 4, 539552, 2009. 2. N. Anbar & H. Stichtenoth, "Curves of every genus with a prescribed number of rational points", Bulletin of the Brazilian Mathematical Society, v. 44, no.2, 173193, 2013. 3. N. Anbar, D. Bartoli, S. Fanali & M. Giulietti, "On the size of the automorphism group of a plane algebraic curve", Journal of Pure and Applied Algebra, v. 217, no. 7, 12241236, 2013. 4. N. Anbar & M. Giulietti, "Bicovering arcs and small complete caps from elliptic curves", Journal of Algebraic Combinatorics, v. 38, no. 2, 371392, 2013.

Mehmet Özdemir PhD 2011, Thesis Advisor: Cem Güneri & Henning Stichtenoth Thesis Title: Automorphism Group and Subfields of the Generalized GiuliettiKorchmaros Function Field Position: Faculty Member at Mevlana University (2011  ) Publications with Sabancı University Address: 1. C. Güneri, M. Özdemir & H. Stichtenoth, "The automorphism group of the generalized GiuliettiKorchmaros function field", Advances in Geometry, v. 13, no. 2, 369380, 2013.

Ayca Cesmelioglu, PhD 2008, Thesis Advisor: Wilfried Meidl & Alev Topuzoğlu
Thesis Title: On the Cycle Structure of Permutation Polynomials Position: PostDoc at Sabancı University (20082011), Visiting Magdeburg University (20112013), Faculty Member at Kemerburgaz University (2013  ) Publications with Sabancı University Address: 1. A. Çeşmelioğlu & A. Winterhof, "On the average distribution of power residues and primitive elements in inversive and nonlinear recurring sequences", Lecture Notes in Computer Science, v. 5203, 6070, 2008. 2. A. Çeşmelioğlu, W. Meidl & A. Topuzoğlu, "On the cycle structure of permutation polynomials", Finite Fields and Their Applications, v. 14, no. 3, 593614, 2008. 3. E. Aksoy, A. Çeşmelioğlu, W. Meidl & A. Topuzoğlu, "On the Carlitz rank of permutation polynomials", Finite Fields and Their Applications, v. 15, no. 4, 428440, 2009. 4. A. Çeşmelioğlu & W. Meidl, "A general approach to construction and determination of the linear complexity of sequences based on cosets", Lecture Notes in Computer Science, v. 6338, 125138, 2010. 5. A. Çeşmelioğlu, G. McGuire & W. Meidl, "A construction of weakly and nonweakly regular bent functions", Journal of Combinatorial Theory Series A, v. 119, no. 2, 420429, 2012. 6. A. Çeşmelioğlu & W. Meidl, "A construction of bent functions from plateaued functions", Designs, Codes and Cryptography, v. 66, no. 13, 231242, 2013. 7. A. Çeşmelioğlu, W. Meidl & A. Topuzoğlu, "Permutations of finite fields with prescribed properties", Journal of Computational and Applied Mathematics, v. 259 part B, 536545, 2014.

Ihsan Taskin, PhD 2008, Thesis Advisor: Cem Güneri & Henning Stichtenoth
Thesis Title: On the Minimum Distance of Algebraic Geometry Codes Position: Researcher at TÜBİTAK BİLGEM Publications with Sabancı University Address:
1. C. Güneri, H. Stichtenoth & İ. Taşkın, "Further improvements on the designed minimum distance of algebraic geometry codes", Journal of Pure and Applied Algebra, v. 213, no. 1, 8797, 2009.
M.Sc.

Halime Ömrüuzun, MSc 2016, Thesis Advisor: Alev Topuzoğlu
Thesis Title: On the Irreducibility of Some Classes of Polynomials Over Finite Fields

Türkü Özlüm Çelik, MSc 2015, Thesis Advisor: Cem Güneri
Thesis Title: Asimtotik olarak Optimal bir Eğri Kulesinin Drinfeld Modüler Yorumu

Özge Ülkem, MSc 2015, Thesis Advisor: Henning Stichtenoth
Thesis Title: Uniformization of Elliptic Curves

Leyla Parlar, MSc 2012, Thesis Advisor: Henning Stichtenoth
Thesis Title: Linearized Polynomials Over Finite Fields

Mehmet Sarıyüce , MSc 2012, currently PhD student in Sabancı University Thesis title: On Bent and HyperBent Functions (Advisor: Alev Topuzoğlu )

Leyla Ateş, MSc 2012, currently PhD student in Sabancı University Thesis title: Linearized polynomials over finite fields (Advisor: Henning Stichtenoth)

Funda Özdemir, MSc 2012, currently PhD student in Sabancı University Thesis title: Construction of irreducible polynomials over finite fields via polynomial composition (Advisor: Henning Stichtenoth)

Pınar Ongan, MSc 2011 (Advisor: Henning Stichtenoth)

Şükrü Uğur Efem, MSc 2011 (Advisor: Henning Stichtenoth)

Leyla Işık, MSc in 2011, currenty PhD student in Sabanci University Thesis title: On the minimum distance of cyclic codes (Advisor: Cem Güneri)

Nurdagül Anbar, MSc 2009, PhD in 2012 at Sabanci University Thesis title: On ramification in extensions of rational function fields, (Advisor: Henning Stichtenoth), Publication: (with S. Tutdere and H. Stichtenoth) On ramification in the compositum of function fields, Bull. Braz. Math. Soc. 40 (2009), pp. 539552

Özgür Polat, MSc 2009, PhD in 2014 at Sabanci University Thesis title: Ramification in some nonGalois extensions of function fields, (Advisor: Henning Stichtenoth),

Seher Tutdere, MSc 2009, PhD in 2012 at Sabanci University Thesis title: A recursive tower of function fields over F_2, (Advisor: Henning Stichtenoth), Publication: (with N. Anbar and H.Stichtenoth) On ramification in the compositum of function fields, Bull. Braz. Math. Soc. 40 (2009), pp. 539552

Claudine Philippart, MSc 2008, Thesis title: Semicyclic and ideal codes, (Advisor: Henning Stichtenoth),

Saliha Pehlivan, MSc 2008, currently a PhD student in University of Central Florida Thesis title: On the absolute state complexity of algebraic geometric codes, (Advisor: Cem Güneri)

Esen Aksoy, MSc 2007, currently PhD student in University of Rochester Thesis title: On permutation polynomials over finite fields, (Advisor: Alev Topuzoğlu)

Canan Kaşıkcı, MSc 2006, currently a PhD student in Sabancı University Thesis title: On maximal period linear sequences and their crosscorrelation functions, (Advisor: Cem Güneri)

Şafak Özden, MSc 2006, Thesis title: Basic theory of nlocal fields, (Advisors: Vyacheslav Zakharyuta ve İlhan İkeda)

Koray Karabina, MSc 2005, Thesis title: Cyclicity of elliptic curves over function fields, (Advisor: Ebru Bekyel)

Serhan Kalaycı, MSc 2005, Thesis title: A Kronecker's limit formula for real quadratic number fields, (Advisor: Ebru Bekyel)

Mehmet Özdemir, MSc 2004, PhD in 2011 at Sabancı University Thesis title: On Applications of algebric functions fields to codes, (Advisor: Cem Güneri)

Mustafa Çoban, MSc 2003, currently at TÜBİTAK UEKAE Thesis title: Primitive elements in finite fields with arbitrary trace (Advisor: Cem Güneri)

İhsan Haluk Akın, MSc 2002, currently at TÜBİTAK UEKAE Thesis title: On the linear complexity and linear complexity profile of sequences in finite fields (Advisor: Alev Topuzoğlu)

Ayça Çeşmelioğlu, MSc 2002, PhD in 2008 at Sabancı University Thesis title: Recent advances in the theory of nonlinear pseudorandom number generators (Advisor: Alev Topuzoğlu)

İhsan Taşkın, MSc 2002, PhD in 2008 at Sabancı University Thesis title: Normal and optimal normal bases in finite fields (Advisor: Alev Topuzoğlu )
