Assoc. Prof.

ALİ HİKMET DEĞER


Fen Fakültesi

Matematik

Analiz ve Fonksiyonlar Teorisi

Education Information

2006 - 2011

2006 - 2011

Doctorate

Karadeniz Technical University, Fen Bilimleri, Matematik, Turkey

2003 - 2006

2003 - 2006

Postgraduate

Karadeniz Technical University, Fen Bilimleri, Matematik, Turkey

1999 - 2003

1999 - 2003

Undergraduate

Ataturk University, Fen Edebiyat, Matematik, Turkey

Dissertations

2011

2011

Doctorate

Gamma_0 (n) Grubunun Alt Yörüngesel Graflarındaki Q^ Köşeli Minimal Uzunluklu Eğriler

Karadeniz Technical University, Fen Bilimleri Enstitüsü, Matematik

2006

2006

Postgraduate

Süreksiz Gruplar ve Graflar

Karadeniz Technical University, Fen Bilimleri Enstitüsü, Matematik

Certificates, Courses and Trainings

2014

2014

Temel ve Uygulamalı Bilimlerde Araştırma Projesi Hazırlama Eğitimi

Education Management and Planning

KTÜ Proje Destek Birimi

Research Areas

Architecture, Mathematics, Computer Science, Functions of a Complex Variable, Combinatorics, Mathematics Education, Number Theory, Natural Sciences, Engineering and Technology

Academic Titles / Tasks

2018 - Continues

2018 - Continues

Associate Professor

Karadeniz Technical University, Fen Fakültesi, Matematik

2012 - 2018

2012 - 2018

Assistant Professor

Karadeniz Technical University, Fen Fakültesi, Matematik

2004 - 2012

2004 - 2012

Research Assistant

Karadeniz Technical University, Fen Fakültesi, Matematik

Managerial Experience

2015 - 2018

2015 - 2018

Board Member

Karadeniz Technical University, Fen Fakültesi

2013 - 2018

2013 - 2018

Head of Department

Karadeniz Technical University, Fen Fakültesi , Matematik

2013 - 2016

2013 - 2016

Deputy Head of Department

Karadeniz Technical University, Fen Fakültesi , Matematik

Courses

Undergraduate

Undergraduate

Mühendislik Matematiği

Undergraduate

Undergraduate

Hiperbolik Geometriye Giriş

Undergraduate

Undergraduate

İşletme Matematiği

Undergraduate

Undergraduate

Analiz 2

Undergraduate

Undergraduate

Diferansiyel Denklemler

Undergraduate

Undergraduate

Sosyal Bilimler İçin Matematik 2

Undergraduate

Undergraduate

Genel Matematik

Undergraduate

Undergraduate

Sosyal Bilimler İçin Matematik 1

Undergraduate

Undergraduate

Analiz 1

Postgraduate

Postgraduate

Ayrık Grupların Geometrisi

Undergraduate

Undergraduate

Matematik 2

Undergraduate

Undergraduate

Matematik 1

Articles Published in Journals That Entered SCI, SSCI and AHCI Indexes

2022

2022

Relation between matrices and the suborbital graphs by the special number sequences

Akbaba Ü. , Değer A. H.

TURKISH JOURNAL OF MATHEMATICS, vol.46, pp.753-767, 2022 (Journal Indexed in SCI) Sustainable Development identifier identifier

2017

2017

Vertices of Paths of Minimal Lengths on Suborbital Graphs

DEĞER A. H.

FILOMAT, vol.31, no.4, pp.913-923, 2017 (Journal Indexed in SCI) Creative Commons License identifier identifier

2015

2015

Suborbital graphs for the group Gamma(2)

GÜLER B. Ö. , Besenk M. , KESİCİOĞLU Y., DEĞER A. H.

HACETTEPE JOURNAL OF MATHEMATICS AND STATISTICS, vol.44, no.5, pp.1033-1044, 2015 (Journal Indexed in SCI) Sustainable Development identifier

2013

2013

Circuit lengths of graphs for the Picard group

Besenk M. , GÜLER B. Ö. , DEĞER A. H. , Kesicioglu Y.

JOURNAL OF INEQUALITIES AND APPLICATIONS, 2013 (Journal Indexed in SCI) Creative Commons License Sustainable Development identifier identifier

2011

2011

On suborbital graphs and related continued fractions

DEĞER A. H. , Besenk M. , Guler B. O.

APPLIED MATHEMATICS AND COMPUTATION, vol.218, no.3, pp.746-750, 2011 (Journal Indexed in SCI) identifier identifier

2011

2011

ELLIPTIC ELEMENTS AND CIRCUITS IN SUBORBITAL GRAPHS

Guler B. Ö. , Besenk M. , DEĞER A. H. , Kader S.

HACETTEPE JOURNAL OF MATHEMATICS AND STATISTICS, vol.40, no.2, pp.203-210, 2011 (Journal Indexed in SCI) identifier identifier

2010

2010

SUBORBITAL GRAPHS FOR A SPECIAL SUBGROUP OF THE NORMALIZER OF Gamma(0) (m)

Kader S., Guler B. Ö. , DEĞER A. H.

IRANIAN JOURNAL OF SCIENCE AND TECHNOLOGY TRANSACTION A-SCIENCE, vol.34, pp.305-312, 2010 (Journal Indexed in SCI) identifier

Articles Published in Other Journals

2021

2021

Images of Some Discs Under the Linear Fractional Transformation of Special Continued Fractions

Akbaba Ü. , Tuylu T., Değer A. H.

CONFERENCE PROCEEDINGS OF SCIENCE AND TECHNOLOGY, vol.1, no.1, pp.232-237, 2021 (International Conference Book)

2020

2020

Investigation of Γ-Invariant Equivalence Relations of Modular Groups and Subgroups

Gökcan İ., Değer A. H.

Conference Proceedings of Science and Technology, vol.3, no.1, pp.110-114, 2020 (National Conference Book)

2020

2020

Obtaining Some Identities With thenthPower of a Matrix Under the LorentzianProduct

Gökcan İ., Değer A. H.

Conference Proceedings of Science and Technology, vol.3, no.1, pp.102-109, 2020 (National Conference Book)

2020

2020

The Generating Functions for Special Pringsheim Continued Fractions

Akbaba Ü. , Değer A. H.

Communications in Advanced Mathematical Sciences, vol.3, no.2, pp.74-81, 2020 (Refereed Journals of Other Institutions)

2018

2018

On Some Connections Between Suborbital Graphs and Special Sequences

AKBABA Ü. , DEĞER A. H. , TUYLU T.

Turkish Journal of Mathematics and Computer Science, vol.10, pp.134-143, 2018 (Refereed Journals of Other Institutions)

2018

2018

Some special values of vertices of trees on the suborbital graphs

DEĞER A. H. , AKBABA Ü.

AIP Conference Proceedings, vol.1926, no.20013, pp.1-6, 2018 (Refereed Journals of Other Institutions)

2017

2017

Fibonacci Sayıları ile Alt Yörüngesel Grafların Özel Köşeleri Arasındaki İlişkiler

DEĞER A. H.

Gümüşhane Üniversitesi Fen Bilimleri Enstitüsü Dergisi, vol.7, no.2, pp.168-180, 2017 (National Refreed University Journal)

2015

2015

Imprimitive action of the normalizer of Gamma_0(N) and suborbital graphs

DEĞER A. H.

AIP Conference Proceedings, vol.1676, no.1, pp.200361-200364, 2015 (Refereed Journals of Other Institutions)

2012

2012

An Application of Mathematical Tessellation Method in Interior Designing

ÖZLÜ DEĞER K. , DEĞER A. H.

Procedia - Social and Behavioral Sciences, vol.51, pp.249-256, 2012 (Refereed Journals of Other Institutions)

2012

2012

An application on suborbital graphs

BEŞENK M. , DEĞER A. H. , GÜLER B. Ö.

AIP Conf. Proc., no.1470, pp.187-190, 2012 (Refereed Journals of Other Institutions)

2010

2010

Conditions to be a forest for normalizer

BEŞENK M. , GÜLER B. Ö. , DEĞER A. H. , Kader S.

International Journal of Math. Analysis, no.33, pp.1635-1643, 2010 (Refereed Journals of Other Institutions) Sustainable Development

Refereed Congress / Symposium Publications in Proceedings

2022

2022

An Investigation on the Vertices of Fu,N Obtained from Lucas Numbers in Hyperbolic Geometry

Gökcan İ., Değer A. H.

Studies on Scientific Developments in Geometry, Algebra, and Applied Mathematics, Ankara, Turkey, 1 - 03 February 2022, pp.67

2021

2021

Images of Some Discs Under the Linear Fractional Transformation of Special Continued Fractions

Akbaba Ü. , Tuylu T., Değer A. H.

18 th International Geometry Symposium, Malatya, Turkey, 12 - 13 July 2021, pp.186

2021

2021

Images of Minimal-Length Hyperbolic Paths on the Poincare Disc

Tuylu T., Akbaba Ü. , Değer A. H.

18 th International Geometry Symposium, Malatya, Turkey, 12 - 13 July 2021, pp.187

2020

2020

Investigation of 𝜞−Invariant Equivalence Relations of Modular Groups and Subgroups

Gökcan İ., Değer A. H.

3rd INTERNATIONAL E-CONFERENCE ON MATHEMATICAL ADVANCES AND ITS APPLICATIONS, İstanbul, Turkey, 24 - 27 June 2020, pp.106

2020

2020

Obtaining Some Identities with the 𝒏th Power of Matrix ( 𝟏 𝟏 −𝟏 𝟎 ) Under The Lorentzian Product

Gökcan İ., Değer A. H.

3rd INTERNATIONAL E-CONFERENCE ON MATHEMATICAL ADVANCES AND ITS APPLICATIONS, İstanbul, Turkey, 24 - 27 June 2020, pp.107

2019

2019

CONNECTIONS BETWEEN SPECIAL NUMBER SEQUENCES AND CONTINUED FRACTIONS

Değer A. H. , Köroğlu T.

2. INTERNATIONAL TURKISH WORLD ENGINEERING AND SCIENCE CONGRESS, Antalya, Turkey, 7 - 10 November 2019, pp.558-569

2019

2019

PASCAL NUMBERS AND MOBIUS TRANSFORMATIONS

Köroğlu T. , Değer A. H.

2. INTERNATIONAL TURKISH WORLD ENGINEERING AND SCIENCE CONGRESS, Antalya, Turkey, 7 - 10 November 2019, pp.564-569

2019

2019

The Farthest Vertices on the Suborbital Graphs via Hyperbolic Geometry

DEĞER A. H. , AKBABA Ü. , Gökcan İ., TUYLU T.

17th International Geometry Symposium, Erzincan, Turkey, 19 - 22 June 2019, pp.130

2019

2019

On Suborbital Graphs with Hyperbolic Geodesics and Entries of Matrices from Some Sequences

DEĞER A. H. , AKBABA Ü. , TUYLU T., Gökcan İ.

17th International Geometry Symposium, Erzincan, Turkey, 19 - 22 June 2019, pp.129

2018

2018

On Suborbital Graphs and Matrices with Even Fibonacci and Lucas Numbers

AKBABA Ü. , DEĞER A. H.

The Mediterranean International Conference of Pure&Applied Mathematics and Related Areas, Antalya, Turkey, 26 - 29 October 2018, pp.64

2018

2018

On Suborbital Graphs and Related Sequences

DEĞER A. H. , AKBABA Ü. , TUYLU T.

INTERNATIONAL CONFERENCE ON RECENT ADVANCES IN PURE AND APPLIED MATHEMATICS, Trabzon, Turkey, 23 - 27 July 2018, pp.68

2018

2018

The Generating Functions of Recurrence Relation of the Path of Minimal Length on Suborbital Graphs

AKBABA Ü. , DEĞER A. H. , TUYLU T.

INTERNATIONAL CONFERENCE ON RECENT ADVANCES IN PURE AND APPLIED MATHEMATICS, Trabzon, Turkey, 23 - 27 July 2018, pp.17

2018

2018

Relation of Some Special Vertices of Suborbital Graphs and Continued Fractions

TUYLU T., DEĞER A. H. , AKBABA Ü.

INTERNATIONAL CONFERENCE ON RECENT ADVANCES IN PURE AND APPLIED MATHEMATICS, Trabzon, Turkey, 23 - 27 July 2018, pp.172

2018

2018

On Some Properties of Even Fibonacci and Lucas Numbers with Suborbital Graphs

DEĞER A. H. , AKBABA Ü.

INTERNATIONAL CONFERENCE ON MATHEMATICS “An Istanbul Meeting for World Mathematicians” Minisymposium on Approximation Theory &Minisymposium on Math Education, İstanbul, Turkey, 3 - 06 July 2018, pp.365

2018

2018

On Some Connections Between Suborbital Graphs and Fibonacci- Lucas Matrices

AKBABA Ü. , DEĞER A. H.

INTERNATIONAL CONFERENCE ON MATHEMATICS “An Istanbul Meeting for World Mathematicians” Minisymposium on Approximation Theory &Minisymposium on Math Education, İstanbul, Turkey, 3 - 06 July 2018, pp.366

2018

2018

On Some Relations Between Continued Fractions and Fibonacci Numbers

TUYLU T., DEĞER A. H. , AKBABA Ü.

International Conference On Mathematics and Mathematics Education (ICMME-2018), Ordu, Turkey, 27 - 29 June 2018, pp.94-95

2018

2018

Finding Characteristic Roots of Matrices of Even Lucas and Fibonacci Numbers

AKBABA Ü. , DEĞER A. H. , TUYLU T.

International Conference On Mathematics and Mathematics Education (ICMME-2018), Ordu, Turkey, 27 - 29 June 2018, pp.62-63

2018

2018

On Some Connections Between Suborbital Graphs and Special Sequences

AKBABA Ü. , DEĞER A. H. , Tuylu T.

International Conference on Mathematics and Mathematics Education (ICMME 2018), Ordu, Turkey, 27 - 29 June 2018, vol.10, pp.134-143

2017

2017

On Creating Tessellations with Using Transformational Geometry

DEGER K. O. , DEĞER A. H.

6TH INTERNATIONAL EURASIAN CONFERENCE ON MATHEMATICAL SCIENCES AND APPLICATIONS, Budapest, Hungary, 15 - 18 August 2017, pp.292

2017

2017

Some Special Values of Vertices of Trees on the Suborbital Graphs

DEĞER A. H. , AKBABA Ü.

6TH INTERNATIONAL EURASIAN CONFERENCE ON MATHEMATICAL SCIENCES AND APPLICATIONS, Budapest, Hungary, 15 - 18 August 2017, pp.35

2017

2017

On Some Special Values of Fibonacci and Lucas Sequences with the Suborbital Graphs

DEĞER A. H. , AKBABA Ü.

6TH INTERNATIONAL EURASIAN CONFERENCE ON MATHEMATICAL SCIENCES AND APPLICATIONS, Budapest, Hungary, 15 - 18 August 2017, pp.36

2017

2017

On Suborbital Graphs and Related Lucas Numbers

AKBABA Ü. , DEĞER A. H.

International Conference on Applied Analysis and Mathematical Modeling, İstanbul, Turkey, 3 - 07 July 2017, pp.191

2017

2017

Some Properties of Special Vertices of the Suborbital Graphs

DEĞER A. H. , AKBABA Ü.

International Conference on Mathematics and Engineering, İstanbul, Turkey, 10 - 12 May 2017, pp.286

2017

2017

On Suborbital Graphs and Related Fibonacci Numbers

AKBABA Ü. , DEĞER A. H.

International Conference on Mathematics and Engineering, İstanbul, Turkey, 10 - 12 May 2017, pp.228

2016

2016

Imprimitive Action with Continued Fractions for the Suborbital Graphs

DEĞER A. H. , AKBABA Ü.

International Conference on Recent Advances in Pure and Applied Mathematics, Muğla, Turkey, 19 - 23 May 2016, pp.66

2015

2015

On transformation types of the Gamma_0(N) and the suborbital graph F_u,N

DEĞER A. H.

4TH INTERNATIONAL EURASIAN CONFERENCE ON MATHEMATICAL SCIENCES AND APPLICATIONS, Athens, Greece, 31 August - 03 September 2015, pp.57

2015

2015

Fu N Graflarındaki Minimal Uzunluk ve Üretici Cinsleri

DEĞER A. H. , AKBABA Ü.

10. Ankara Matematik Günleri, Turkey, 11 - 12 June 2015

2015

2015

Imprimitive action of the normalizer of Gamma(0) (N) and suborbital graphs

DEĞER A. H.

International Conference on Advancements in Mathematical Sciences (AMS), Antalya, Turkey, 5 - 07 November 2015, vol.1676 identifier

2013

2013

On some subgroups of the modular group

Beşenk M., DEĞER A. H. , YAZICI GÖZÜTOK N.

XI.Geometri Sempozyumu, Ordu, Turkey, 1 - 05 July 2013, pp.84

2012

2012

Paths of Minimal Length on Suborbital Graphs with Recurrence Relations

DEĞER A. H. , BEŞENK M. , GÜLER B. Ö.

International Conference on Analysis and Applied Mathematics, Gümüşhane, Turkey, 18 - 21 October 2012, pp.31

2012

2012

Power subgroup of the modular group

BEŞENK M. , DEĞER A. H. , GÜLER B. Ö. , Kader S.

XXV. Ulusal Matematik Sempozyumu, Niğde, Turkey, 5 - 08 September 2012, pp.6

2012

2012

Paths of Minimal Length on Suborbital Graphs

DEĞER A. H. , BEŞENK M. , GÜLER B. Ö.

International Congress in Honour of Professor H.M. Srivastava, Bursa, Turkey, 23 - 26 August 2012, pp.38

2012

2012

Circuit Lengths of Graphs for Picard Group

BEŞENK M. , GÜLER B. Ö. , DEĞER A. H. , Kesicioglu Y.

International Congress in Honour of Professor H.M. Srivastava, Bursa, Turkey, 23 - 26 August 2012, pp.39

2012

2012

An application of mathematical tessellation method in interior designing

Deger K. O. , DEĞER A. H.

World Conference on Design, Arts and Education (DAE), Antalya, Turkey, 1 - 04 May 2012, vol.51, pp.249-256 identifier

2012

2012

An Application on Suborbital Graphs

Besenk M. , DEĞER A. H. , GÜLER B. Ö.

1st International Conference on Analysis and Applied Mathematics (ICAAM), Gümüşhane, Turkey, 18 - 21 October 2012, vol.1470, pp.187-190 Sustainable Development identifier identifier

2011

2011

On Connectedness of the Suborbital Graphs of the Picard Group

GÜLER B. Ö. , DEĞER A. H. , BEŞENK M.

2nd Istanbul Design Theory, Graph Theory and Combinatorics Conference, İstanbul, Turkey, 27 June - 01 July 2011, pp.38

2011

2011

On Some Advantages of Using Mathematics Software

Kor T. , DEĞER A. H. , Besenk M. , Guler B. O.

16th Asian Technology Conference in Mathematics (ATCM2011), Bolu, Turkey, 19 - 23 September 2011, pp.203-210 identifier

2010

2010

Sürekli Kesirlerin Bir Uygulaması

DEĞER A. H. , BEŞENK M. , GÜLER B. Ö.

9. Matematik Sempozyumu Sergi ve Şenlikleri, Trabzon, Turkey, 20 - 22 October 2010, pp.104

2010

2010

Alt Yörüngesel Çizgeler

Beşenk M. , GÜLER B. Ö. , DEĞER A. H.

9. Matematik Sempozyumu Sergi ve Şenlikleri, Trabzon, Turkey, 20 - 22 October 2010, pp.145

2010

2010

On Suborbital Graphs and Continued Fractions

DEĞER A. H. , BEŞENK M. , GÜLER B. Ö.

International Congress in Honour of Professor H.M. Srivastava on his 70th Birth Anniversary, Bursa, Turkey, 18 - 21 August 2010, pp.105

2010

2010

Eliptik Elemanlar ve Alt Yörüngesel Graftaki Devreler

GÜLER B. Ö. , BEŞENK M. , DEĞER A. H. , Kader S.

Ankara Matematik Günleri, Ankara, Turkey, 3 - 04 June 2010, pp.19

2007

2007

Modular Grubun Alt Yörüngesel Grafındaki Q^-Köşeli Minimal Uzunluklu Eğriler

DEĞER A. H. , GÜLER B. Ö.

XX. Ulusal Matematik Sempozyumu, Erzurum, Turkey, 3 - 06 September 2007, pp.41

Books & Book Chapters

2021

2021

VERTICES OF SUBORBITAL GRAPH F_u,N AND SEQUENCE d_n DEFINED IN HECKE GROUP

Gökcan İ., Değer A. H.

in: Research & Reviews in Science and Mathematics - I, AKGÜL HASAN,DAYANGAÇ ALPASLAN, Editor, Gece Kitaplığı, Ankara, pp.187-204, 2021

Scientific Refereeing

December 2020

December 2020

Sinop Üniversitesi Fen Bilimleri Dergisi

Other Journals

November 2020

November 2020

GÜMÜŞHANE ÜNİVERSİTESİ FEN BİLİMLERİ ENSTİTÜSÜ DERGİSİ

National Scientific Refreed Journal

January 2019

January 2019

Project Supported by Higher Education Institutions

August 2018

August 2018

Turkish Journal of Mathematics

SCI Journal

November 2012

November 2012

Online Journal of Education Research

National Scientific Refreed Journal



Edit Congress and Symposium Activities

2019

2019

II. International Turkish World Engineering and Science Congress

Attendee

Antalya-Turkey

2019

2019

17th International Geometry Symposium

Attendee

Erzincan-Turkey

2017

2017

6TH INTERNATIONAL EURASIAN CONFERENCE ON MATHEMATICAL SCIENCES AND APPLICATIONS

Attendee

Budapest-Hungary

2017

2017

International Conference on Applıed Analysis and Mathematical Modeling

Attendee

İstanbul-Turkey

2017

2017

International Conference on Mathematics and Engineering

Attendee

İstanbul-Turkey

2016

2016

International Conference on Recent Advances in Pure and Applied Mathematics

Attendee

Muğla-Turkey

2015

2015

4TH INTERNATIONAL EURASIAN CONFERENCE ON MATHEMATICAL SCIENCES AND APPLICATIONS

Attendee

Athens-Greece

2015

2015

10. Ankara Matematik Günleri

Attendee

Ankara-Turkey

2012

2012

XXV. Ulusal Matematik Sempozyumu

Attendee

Niğde-Turkey

2012

2012

International Congress in Honour of Professor H.M. Srivastava

Attendee

Bursa-Turkey

2011

2011

Sixteenth Asian Technology Conference in Mathematics

Attendee

Bolu-Turkey

2011

2011

2nd Istanbul Design Theory, Graph Theory and Combinatorics Conference

Attendee

İstanbul-Turkey

2010

2010

9. Matematik Sempozyumu Sergi ve Şenlikleri

Attendee

Trabzon-Turkey

2010

2010

International Congress in Honour of Professor H.M. Srivastava on his 70th Birth Anniversary

Attendee

Bursa-Turkey

2010

2010

Ankara Matematik Günleri

Attendee

Ankara-Turkey

2007

2007

XX. Ulusal Matematik Sempozyumu

Attendee

Erzurum-Turkey

Citations

Total Citations (WOS): 40

h-index (WOS): 4

Jury Memberships

August-2017

August 2017

Post Graduate

Niğde Ömer Halisdemir Üniversitesi Fen-Edebiyat Fakültesi Matematik Bölümü Yüksek Lisans Tezi Savunması Juri Üyeliği - Niğde Ömer Halisdemir Üniversitesi

Announcements & Documents

Hiperbolik Geometri haftalık sunum bilgisi için tıklayınız...
Announcement
4/2/2019

05.04.2019 Cuma Saat: 14-15 arası Atatürk Üniversitesi Fen Fakültesi Matematik Bölümü Toplantı Salonunda "Hiperbolik Geometri" sunumu yapılacaktır. Seminer afişi ektedir.

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