İLHAN İÇEN    BSc-MSc (İnönü), PhD (Bangor)

 

Personal data

Family name:  İçen    

First name: İlhan

Date of Birth: 01 January 1962  

Place of Birth: Malatya/ Turkey

Marital Status: Married since 1986, two children.

Permanent Address: İnönü University, Science and Art Faculty, Mathematics Department, 44100,  Malatya- TURKEY 

Phone: 0090-422-3410010    Fax: 0090-422 –3410037     E-mail: iicen@inonu.edu.tr

Web page: web.inonu.edu.tr/~matematik/personel/iicen.htm

 

University Education

 

Degrees

Main Subjects

Name of University

Years

  BSc

 Maths

İnönü University

1980-1984

  MSc

 Algebraic  Topology

İnönü University

1986-1989

  PhD

 Differential Topology

Wales University, Bangor

1992-1996

 

Previous and Present position

 

Post

Place

Years

Research Assistant

İnönü  University, Science and Art Faculty, Mathematics Department

1986-1991

Researcher

Wales University , Bangor, Mathematics Department

1991-1996

Assistant Professor

İnönü  University, Science and Art Faculty, Mathematics Department

1996- 2002

Head of Topology Division

İnönü  University, Science and Art Faculty, Mathematics Department

1996- ....

Associate professor

İnönü  University, Science and Art Faculty, Mathematics Department

2002-  .....

 

 

Field of interest

Differential Topology and Geometry, Higher dimensional algebra,

Supervised MSc thesis

Özcan, A.F.,   Topological crossed modules”, İnönü University, 1997.

İlhan, M.,       Locally Topological Groupoids”, İnönü University, 1999.

Bulam, R.,      Local equivalence relations”, İnönü  University, 1999.

Yıldırım, C.,     “Crossed Modüller”, İnönü Üniversitesi, 2000.

Gürsoy M.H.,  Topological 2-groupoids”, İnönü University, 2002.

 

Supervised PhD Thesis

Özcan, A.F.,   Covering of topological groupoids ”, İnönü University,  2004

Gürsoy, M.H. “Lie G-groupids and Holonomy groupoids”, 2003- …….

 

Previous Project

 

1.                  Topological crossed moduls and topological 2-groupoids, İnönü University,  Resaerch Center, Project No: 2001-19,  2001-2002.

 

2.                  Double Foliations and locally Lie double groupoids, TÜBİTAK NATO B-2 (The Scientific and Technical Research Council of Turkey) 2004. This project has been carried by Prof. Ronald Brown (Bangor) and Prof. Osman Mucuk(Erciyes).

 

 

Recent Project

 

Covering of topological groupoids, İnönü University,  Resaerch Center, Project No: 2002-02,  2002-.....

 

 

 

Professional Affiliations

 

Member of Turkish Mathematics Society,1991-.....

Member of American  Mathematics Society 2003-……

Reviewer  for Mathematical Review  (AMS)

 

Grants Awarded

1998                  İnönü University Foundations, Travel grant  , Malatya-TURKEY

1998       Mathematics Division, School of Informatics,  Wales University, Some grants, Bangor- U.K.

1998                  TUBİTAK (The Scientific and Technical Research Council of Turkey),  some grants, Ankara-TURKEY

2000      İnönü University Foundation, Travel Grant, Malatya-TURKEY

2000     Mathematics Division, School of Informatics,  Wales University, Some grants, Bangor- U.K.

1998-2002 TUBİTAK and İnönü University Foundation, some grants (for selected paper 1,7,8,9)

2004       TUBİTAK NATO-B2 (The Scientific and Technical Research Council of Turkey),  grants, Ankara-TURKEY

 

Teaching activity in the last two years

 

 

 

Academic Year

Season

Name of Lecture

 Hour in a week

Number of  students

Theory

Practice

2002-2003

Autumn

Introduction to Topology

3+3

-

120

Calculus

9+4

4+4

250

General Topology ( for MSc)

3

-

5

Introduction to Differential Topology  (for Ph.D)

3

-

2

Supervisor of graduated students

-

2+2

10

Spring

Introduction to Topology

 

3+3

-

120

Complex functional theory

3+3

2+2

120

Calculus

11+6

6

200

Topological Groupoids (for MSc)

3

-

2

Introduction to Differential Topology (for Ph.D)

3

-

2

Supervisor of graduated students

-

2+2

10

 

 

 

 

 

 

 

 

 

Autumn

Introduction to Topology

3+3

-

120

Complex  functional Theory

3+3

2+2

120

Calculus

9+2

2

200

 

 

 

 

 

 

2003-2004

 

Sheaf Theory (for Ph.D)

3

 

1

General Topology  (for MSc)

3

 

5

Supervisor of graduated students

-

2+2

10

Spring

 

Introduction to Topology

3+3

-

120

Complex functional theory

3+3

2+2

120

Calculus

5

-

50

History  of Mathematics

2+2

-

90

General Topology ( for MSc)

3

-

2

 

 

 

 

 

Publications

 

Papers

 

1.     Brown, R and  İçen,İ., ‘Lie local subgroupoids and their holonomy and monodromy  lie groupoids’,  Topology and its  Application., 115/2, pp. 125-138 (2001)

2.     Mucuk, O. and İçen, İ., ‘Covering Groupids’, Hadronic Journal Suplement 16,183-196  (2001)

3.     Brown, R., İçen. and Mucuk, O., ‘ Holonomy and Monodromy groupoids’,  Lie Algebroids, Banach Center Pupl., 54, ppç1-12, Warszawa, (2001).

4.     İçen, İ. and Mucuk,O., ‘Some results for the local subgroupoids’, İtalian J. Pure and Applied Mathematics, 13 pp. 9-20 (2003)

5.     İçen, İ. and  Özcan, A.F., ‘Topological crossed modules and G-groupoids ’,  Algebras, Groups and Geometries, 18, pp.401-410  (2001)

6.     Mucuk, O. and İçen, İ.  ‘Extendibility, monodromy and local triviality for topological groupoids,’ Internat. J. Math.   Math.  Sci., 27/3, pp.131-140 (2001)

7.     Brown, R and  İçen, İ., Homotopies and Automorphism of crossed modules over groupoids ’, Appl. Categorical Structure, 11 pp.185-206 (2003)

8.     Brown, R., İçen,İ. and Mucuk, O. ‘Local subgroupoids II: Examples and properties’ Topology and its  Application.,  115/2, pp. 125-138 (2003)

9.     Brown, R and  İçen, İ., ‘Towards a 2-dimensional notion of holonomy’., Advance in Maths. 178, PP.141-175 (2003)

10. Mucuk, O. and İçen, İ., Holonomy, extendibility, and the star universal cover of a topopogical groupoid’, Applied General Topology, 1 pp.79-89 (2003)

11. Gürsoy, M.H.,İçen, İ.,Özcan,A.F., The equivalence of topological 2-groupoids and topological crossed modules (Algebras, Groups  Geom. appear)

12.  Özcan, A.F., İçen, İ., Gürsoy, M.H., ‘Topological group-groupoid and their covering’(submitted).

13.  Özcan, A.F., İçen, İ., Gürsoy, M.H., ‘Topological ring-groupoid and liftings’(submitted).

14. Brown, R., İçen,İ. and Mucuk, O. Double Foliations and locally Lie double groupoids(ın prepration)

 

 

Papers (published in Turkey)

 

1.     İçen, İ., ‘The equivalence of 2-groupoids and crossed modules’, Communucations,Fac. Sci. Univ.Ank. Series A1. 49. ( 2000)

2.     İçen, İ. and Yıldız, C., ‘A sheaf of R-algebras on the set of Dual Numbers’, J. Science and Engineering ,. Erciyes  University, 15 1-2. (1999)

3.     İçen, İ. and İlhan, M.,.,Bir boyutlu holonomy grupoidleri üzerine,(Eng. Sum.) J. Science and Engineering , Fırat University, Vol 11-2  (1999) 131-140.

4.     İçen, İ., and  Yıldız, C., ‘The topological groupoids of the groups formed by the H-groups over topological space’, J. Institute of Science and Technology  ,. Gazi  University, Vol. 6. (1993)

5.     Yıldız, C. and İçen, İ.,‘H-gruplarının oluşturduğu demetlerin karakterizasyonu’, (Eng.   Sum),  J. Science and Engineering ,. Erciyes  University, 7-2.  (1991) 1234-1243.

 

 

 

 

Others publications

 

1.     Brown. R. and  İçen, İ., ‘Examples  and coherence properties of local subgroupoids’, University of Wales, Math. Preprint  00.06.(2000) (www.bangor.ac.uk./ma/resaerch/preprint)

2.     İçen, İ..,   ‘Sheaves and   local subgroupoids’, University of Wales, Math. Preprint  00.16.(2000)  (www.bangor.ac.uk./ma/resaerch/preprint)

3.     İçen, İ.,  ‘Introduction to Topology,(Turkish), İnönü University, (2001)

 

 

International conferences

1.Towards 2-dimensional holonomy groupoid: automorphisms of crossed modules and groupoids Pure Mathematics Colloquium, University of Wales, Gregynog –U.K., May- 1995.

2.  Bir boyutlu holonomy grupoidleri üzerine’ I. Turkish Word Mathematics Symposium,  Elazığ-TURKEY, June- 1999.

3. ‘Lie Local subgroupoids and s-sheaves’ Workshop on Orbifolds, Groupoids and their Applications, University of Wales, BangorU.K., September–2000.

4.  ‘Lie   Local  Subgroupoids Int. Conference on Applicable General Topology, Hacetepe University, ANKARA-TURKEY, August - 2001.

5.  ‘ Locally topological groupoids and extendibility’, Int. Conference on Applicable General Topology, Hacetepe University, ANKARA-TURKEY, August - 2001.

 

 

National conferences

 

1.         Dual sayılar kümesi üzerinde  R-cebirlerinin  demeti, III. National Mathematics Symposium, Van , August -1990.

2.         Topolojik crossed modüller ve  G-Groupoidler, XI. National Mathematics Symposium, Isparta, September- 1998.

3.         Lokal eşdeğerlik bağıntısı ve Holonomy grupodi’, XII. National Mathematics Symposium, Malatya, September-1999.

4.         ‘On the local subgroupoids  XIII. National Mathematics Symposium, Eskişehir September-2001.

5.         ‘G-space and Lie groupoids,  I. Geometry Symposium, Elazığ, July-2003.

6.         Topolojik G-groupoidlerin yükseltmeleri’, XVI. National Mathematics Symposium, Van, September-2003.

7.         Topolojik Halka-groupoidlerin yükseltmeleri,  XVII. National Mathematics Symposium, Bolu, August-2004

8.         Topolojik Groupoidlerin özel morfizimleri,  XVII. National Mathematics Symposium, Bolu, August-2004.

 

 

 

 

 

 

 

International and national activities

 

 

1.  THE PERIPATETIC SEMINAR ON SHEAVES AND LOGIC, Cambrige-U.K, February –1992.

2.  Pure Mathematics Colloquium, University of Wales, GregynogNorthWales, May-  1992.

3.  THE PERIPATETIC SEMINAR ON SHEAVES AND LOGIC, Sussex-U.K.,  March –1994.

4.   Inviting researcher to Mathematics Division, School of Informatics,  Wales University,  for discussions with Ronald Brown on crossed modules of groupoids, local subgroupoids and higher dimensional holonomy groupoids, June- August , 1998, Bangor- U.K.

5.  Inviting researcher to Mathematics Division, School of Informatics,  Wales University,  for discussions with Ronald Brown on  local subgroupoids and higher dimensional holonomy groupoids, June- August, 2000, Bangor- U.K.

6.  Member of Organisation committee  for XII. Notional Mathematics Symposium, Malatya, September-1999.

7.  Inviting researcher to Mathematics Division, School of Informatics,  Wales University,  for discussions with Prof. Ronald Brown and Prof. Osman Mucuk on  the double foliation, groupoid atlases, global action  and higher dimensional algebra, July- September, 2004, Bangor- U.K.