Leyla Işık Lavrauw
E-mail : [email protected] Web address : http://www.leylaisik.net/ Date of Birth : 14.02.1985 Place of Birth : İzmir
EDUCATION : Ph.D. January, 2011 - September, 2015 - Mathematics, Sabancı University, İstanbul M.Sc. September, 2008 - January, 2011 - Mathematics, Sabancı University, İstanbul B.Sc. September, 2003 - June, 2008 - Mathematics, Dokuz Eylül University, İzmir
MASTER THESIS ( January, 2011) “On the Minimum Distance of Cyclic Codes” ( Thesis advisor: Prof. Dr. Cem Güneri).
PhD THESIS (September, 2015) “On Complete Mapping and Value Sets of Polynomials over Finite Fields” ( Thesis advisor: Prof. Dr. Alev Topuzoğlu).
PROFESSIONAL EXPERIENCES: May, 2016 – December, 2016 : Postdoctoral researcher in Mathematics department, Salzburg University, Salzburg, Austria. Financed by Austrian FWF project with the title “Arithmetic Primitives for Uniform Distribution Modulo 1” Project leader : Prof. Dr. Peter Hellekalek.
September, 2015 – March, 2016 : Postdoctoral researcher in Mathematics department, Sabancı University, Istanbul, Turkey. Financed by Tübitak project with the title “Sonlu cisimler uzerinde tanımlı Polinomlar, Teori ve Uygulamalar II” Project leader : Prof. Dr. Henning Stichtenoth.
TEACHING EXPERIENCE : Sabancı University (Lecturer, 2018-2019 Summer) Linear Algebra
Bilgi University (Lecturer, 2018-2019 Spring) Probability
Piri Reis University (Lecturer, 2018-2019 Fall) Linear Algebra
Şehir University (Lecturer, 2017-2018 Summer) Calculus I Sabancı University (Lecturer, 2017-2018 Summer) Linear Algebra
Piri Reis University (Lecturer, 2017-2018 Spring) Calculus II, Probability - Statistics
Okan University (Lecturer, 2017-2018 Fall) Applied Mathematics
Sabancı University (Teaching Assistant, 2008-2015) Calculus I-II, Linear Algebra, Discrete Mathematics, Differential Equations, Number Theory, Introduction to Algebra
SCIENTIFIC PUBLICATIONS : 1. Complete Mappings and Carlitz Rank (with A. Topuzoğlu, A. Winterhof) (published in “Design Codes and Cryptography”, 2016) ISSN: 0925-1022, Index: SCI DOI:10.1007/s10623-016-0293-5. http://link.springer.com/article/10.1007/s10623-016-0293-5
2. Carlitz rank and Index of Permutation Polynomials (with A. Winterhof) (published in “Finite Fields and Their Applications”, 2017) ISSN: 1071- 5797, Index: SCI. http://www.sciencedirect.com/science/article/pii/S1071579717301065
3. Maximum-order Complexity and Correlation Measures (with A. Winterhof) (published in “Cryptography”, 2017). ISSN 2410-387X, DOI: 10.3390/cryptography1010007. http://www.mdpi.com/2410-387X/1/1/7/htm
4. A Note on Value Sets of Polynomials over Finite Fields (with A. Topuzoğlu) (submitted). https://arxiv.org/pdf/1701.06158v1.pdf
Papers in preparation : 1. Index of Diffie–Hellman Mapping (with A. Winterhof).
GENERAL RESEARCH INTERESTS : Finite Fields and Applications, Number Theory, Coding Theory, Cryptology, Combinatorics.
SHORT RESEARCH VISITS : - RICAM (Radon Institute for Computational and Applied Math), Austria, 21-25 January 2019
- University of Salzburg, Austria, 25-29 April 2016.
- RICAM (Radon Institute for Computational and Applied Math), Austria, 6-11 March 2016.
- University of Zurich, Switzerland, 14-18 December 2015. INVITED SEMINARS :
1. VUB, Brussels, Belgium, January 17, 2017 “On the Index of Permutation Polynomials”.
2. Mimar Sinan Fine Arts University, İstanbul, Turkey, December 01, 2016 “Index and Carlitz Rank of Permutation Polynomials”.
3. Gebze Technical University, İzmit, Turkey, November 04, 2016 “Index and Carlitz Rank of Permutation Polynomials”.
4. Dokuz Eylül University, İzmir, Turkey, May 24, 2016 “On Complete Maps and Value Sets of Polynomials Over Finite Fields”.
5. University of Salzburg, Salzburg, Austria, April 26, 2016 “A note on Value Sets of Polynomials over Finite Fields”.
6. Università degli Studi di Napoli Federico II, Naples, Italy March 18, 2016 “On Complete Maps and Value Sets of Polynomials over Finite Fields”.
7. University of Zurich, Zurich, Switzerland, December 16, 2015 “On Complete Maps and Value Sets of Polynomials over Finite Fields”.
PRESENTATIONS AT INTERNATIONAL CONFERENCES :
July 13-17, 2015 12th International Conference on Finite Fields and Their Appl., New York, USA, “On Complete Mappings of Finite Fields”.
September 14 - 20, 2014 Finite Geometries, Fourth Irsee Conference, Irsee, Germany, “On Complete Mappings of Finite Fields”.
May 09 -13, 2014 XVI. Antalya Algebra Days, Antalya, Turkey, “On the Minimum Distance of Cyclic Codes”.
COMPUTER SKILLS : Magma, Latex, Word, Excel, Matlab, Mathematica, Qbasic.
SCHOLARSHIPS : September, 2006 - June 2007 : Ahmet Piriştina scholarship. September 2008 - January 2011 : Sabancı University, M.Sc in Mathematics, full scholarship. January 2011 - September 2015 : Sabancı University, PhD in Mathematics, full scholarship.