GENERAL DATA

Surname: AYIK.

First name: Hayrullah.

Date of birth: 2 June, 1967.

Place of birth: Adana, Turkey.

Family situation: married to Gonca (Gungor) AYIK; children: Yagmur (9).

Occupation: Assistant Professor in Mathematics at the Department of Mathematics, University of Cukurova.

Office address: The Department of Mathematics, University of Cukurova, Balcali 01330, Adana TURKEY;

Phone : 00 90 322 3386084 (3633);

Fax : 00 90 322 3386070;

                          e-mail : hayik@cu.edu.tr;

                          URL : http://math.cu.edu.tr/hayik/hayik.htm

Professional Qualifications:

• B.Sc. University of Cukurova, Adana, Turkey, 1993
• Ph.D. University of St Andrews, St Andrews, Scotland, 1998

Membership in the professional institutions: ·

• American Mathematical Society, ·
• Turkish Mathematical Society.

Languages: Turkish and English.

Other interests: Formula 1 and Travelling.

SCHOOL EDUCATION

Schools attended:

• Primary School Sehit Duran Ilkokulu, Adana, 1973 - 1978;
• Middle School Hurriyet Ortaokulu, Adana, 1978 - 1981;
• Secondary (High) School, Adana Erkek Lisesi, 1981 - 1984;

University Education:

• College of Economics, Cukurova University, Antakya, 1984-85 (not completed).
• Meteorological Engineering, Faculty of Aeronautics and Astronautics, Istanbul Technical University, 1985 - 1987 (not completed).
• Department of Mathematics, Faculty of Sciences and Letters, Cukurova University, Adana 1989 - 1993 (completed).
• Department of Mathematics, Instýtute of Basic and Applied Sciences, , Cukurova University, Adana 1993 - 1995 (not completed).
• Department of Mathematics and Statistics, University of St Andrews, St Andrews, Scotland, 1995 - 1998 (completed).

UNDERGRADUATE STUDIES

University: University of Cukurova, Adana Turkey.

• Duration: From September 1989 to July 1993, with a one year break in 1987/88 for National Service (a four year degree finished in less than three(With C.M. Campbell, J.J. O’Connor and N. Ruskuc) The Semigroup Efficiency of Groups and Monoids, Math. Proc. Royal Irish Acad. 100A (2) (2000), 171—176. years).

Contents of the degree: Courses in all major branches of mathematics; courses in physics, computer science, languages and history; a total of 52 courses.

Total average mark (scale: 0-100): 88.02.

Awards:

• A First Rank Department of Mathematic prize for the overall performance in 1993.
• A First Rank Faculty of Sciences and Letters prize for the overall performance 1993.

POSTGRADUATE STUDIES

University: University of St Andrews, St Andrews, Scotland.

Duration: from April 1995 to September 1998.

Scholarships: Higher Educational Council of Turkey (YOK).

Subject: algebra.

Supervisors: Professors Nik Ruskuc (unofficial), Dr. C. M. Campbell and Dr. J. J. O’Connor.

Research: presentations of semigroups, efficiency of group and semigroups, finiteness conditions for semigroups, homologies of simple semigroups.

Thesis: Presentations and Efficiency of Semigroups, St Andrews, 1998.

Examiners: Prof E. F. Robertson (St Andrews), Dr N. Gilbert (Heriot-Watt University).

EMPLOYMENT HISTORY

1993 - 1998: Research Assistant, University of Cukurova.

1998 -          : Lecturer in Mathematics, University of Cukurova.

TEACHING

Subjects lectured: ·

• Differential Equations (2000 - ), ·
• Differential Equations for Engineering (2000 - ), ·
• Analysis for Engineering (1998, 2000 - 2004), ·
• Graph Theory (1998, 2000 - ), ·
• Computational Semigroups (1998, 2000 - ), ·
• Semigroups (2001 - ), ·
• Group Theory (2002, 2003), ·
• Field Theory (2002, 2003),
• Finite Mathematics (2003 - ), ·
• Combinatorics (2004 - ).

Supervision of M.Sc. Students:

• Halil Ibrahim Cimen, 2001 – 2004, “Automatics Groups and Semigroups”;
• Metin Koc, 2002 -
• Suleyman Aksoy, 2003 -
• Burcin Yildirim, 2003 -

Supervision of Ph.D. Students:

• (joint, unofficial) Gonca Ayýk, 1998 – 2003, “Presentations of Semigroups, Automaticity and Adian Graphs”;
• (joint, unofficial) Melis Minisker 1998 – 2004, “Presentations of Groups and Semigroups”;
• Basri Caliskan; 2002 – 2008, “ Finiteness Condition for Some Semigroups Families and Constructions and Efficiency”;
• Fatma Cinar;

Postgraduate Examining:

• Basri Caliskan, M.Sc., University of Cukurova, September 2002.
• M. Cevat Deniz, M.Sc., University of Cukurova, January 2005.

RESEARCH

Research interests: ·

• semigroup presentations; ·
• group presentations; ·
• transformation semigroups; ·
• algorithmic and computational methods in algebra; ·
• automatic structures;
• formal languages and automata.

Collaboration: ·

• G. Ayik (Cukurova, Turkey), ·
• C.M. Campbell (St Andrews, Scotland), ·
• J.M. Howie (St Andrews, Scotland), ·
• F. Kuyucu (Cukurova, Turkey), ·
• M. Minisker (Mustafa Kemal, Turkey), ·
• J. J. O’Connor (St Andrews, Scotland), ·
• N. Ruskuc (St Andrews, Scotland), ·
• Y. Unlu (Cukurova, Turkey), ·
•  B. Vatansever (Cukurova, Turkey).

PUBLICATIONS

• (With N. Ruskuc) Generators and Relations of Rees Matrix Semigroups, Proc. Edinburgh Math. Soc. 42 (1999), 481—495.
• (With C.M. Campbell, J.J. O’Connor and N. Ruskuc) The Semigroup Efficiency of Groups and Monoids, Math. Proc. Royal Irish Acad. 100A (2) (2000), 171—176.
• (With C.M. Campbell, J.J. O’Connor and N. Ruskuc) Minimal Presentations and Efficiency of Semigroups, Semigroup Forum 60 (2000), 231—242.
• (With C.M. Campbell, J.J. O’Connor and N. Ruskuc) On the Efficiency of Wreath Products of Groups, in “Groups Korea 98” (Eds: Y.G. Baik, D.L. Johnson and A.C. Kim), Walter de Gruytet, Berlin, New York (2000), 39—51.
•  (With C.M. Campbell, J.J. O’Connor and N. Ruskuc) The Semigroup Efficiency of Direct Products of Groups, in “Proc. Internat. Conf. Semigroups” (Eds: P. Smith, E. Giraldes and P. Martins), World Scientific, Singapore (2000), 19—25.
• (With C.M. Campbell, J.J. O’Connor and N. Ruskuc) On the Efficiency of Finite Simple Semigroups, Turk J. Math. 24 (2000), 129—146.
• (With F. Kuyucu and B. Vatansever) On Semigroup Presentations and Efficiency, Semigroup Forum, 65 (2002), 329—335.
• (With Fahreddin Abdullayev) “Proceedings of XV. National Mathematical Symposium” 2002 - Mersin, University of Mersin, (2004).
• (With M. Minisker and B. Vatansever) Minimal Presentations and Embeddings into inefficient semigroups, Algebra Colloquium, 12 (2005), 59—65.
• (With G. Ayýk and Y. Ünlü) Presentations for S and S/p from a given presentation p, Semigroup Forum, 70 (2005), 146—149.
• On finiteness conditions of Rees matrixs Semigroups, Czechoslovak Mathematical Journal, to appear.
• (With G. Ayýk and J.M. Howie) On Factorisations and Generators in Transformation Semigroup, Semigroup Forum, to appear.
• (With G. Ayýk, J.M. Howie and Y. Ünlü) The Structure of Elements in Finite Full Transformation Semigroups, ”, Bull. Aust. Math. Soc. 71 (2005), 69—74.