Algebra and Number Theory - Alumni

Algebra and Number Theory - Alumni

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 Quasi-Cyclic And Convolutional Codes

  • Özgür Polat, PhD 2014, Thesis Advisor: Henning Stichtenoth
    Thesis Title: Decomposition of Primes in Non-Galois Extensions
    Position: Post-Doc 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: Post-Doc at Middle East Technical University (2012-2013), 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, 539-552, 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: Post-Doc at Sabancı University (2012-2014), 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, 539-552, 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, 173-193, 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, 1224-1236, 2013.
    4. N. Anbar & M. Giulietti, "Bicovering arcs and small complete caps from elliptic curves", Journal of Algebraic Combinatorics, v. 38, no. 2, 371-392, 2013.

  • Mehmet Özdemir PhD 2011, Thesis Advisor: Cem Güneri & Henning Stichtenoth
    Thesis Title: Automorphism Group and Subfields of the Generalized Giulietti-Korchmaros 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 Giulietti-Korchmaros function field", Advances in Geometry, v. 13, no. 2, 369-380, 2013.

  • Ayca Cesmelioglu, PhD 2008, Thesis Advisor: Wilfried Meidl & Alev Topuzoğlu

    Thesis Title: On the Cycle Structure of Permutation Polynomials
    Position: Post-Doc at Sabancı University (2008-2011), Visiting Magdeburg University (2011-2013), 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, 60-70, 2008.
    2. A. Çeşmelioğlu, W. Meidl & A. Topuzoğlu, "On the cycle structure of permutation polynomials", Finite Fields and Their Applications, v. 14, no. 3, 593-614, 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, 428-440, 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, 125-138, 2010.
    5. A. Çeşmelioğlu, G. McGuire & W. Meidl, "A construction of weakly and non-weakly regular bent functions", Journal of Combinatorial Theory Series A, v. 119, no. 2, 420-429, 2012.
    6. A. Çeşmelioğlu & W. Meidl, "A construction of bent functions from plateaued functions", Designs, Codes and Cryptography, v. 66, no. 1-3, 231-242, 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, 536-545, 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, 87-97, 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 Hyper-Bent 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. 539-552

  • Özgür Polat, MSc 2009, PhD in 2014 at Sabanci University
    Thesis title: Ramification in some non-Galois 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. 539-552

  • Claudine Philippart, MSc 2008,
    Thesis title: Semi-cyclic 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 n-local 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 )