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.
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