Metrics
Publication
39
Open Access
2
Biography
Ayse Yılmaz Ceylan has a PhD degree in Mathematics. Dr. Yılmaz Ceylan currently serves as a doctor lecturer at University of Akdeniz. Her research interests include differential geometry, geometric design.
Education
2010 - 2015
2010 - 2015Doctorate
Akdeniz University, Institute of Science, Matematik, Turkey
2007 - 2009
2007 - 2009Postgraduate
Akdeniz University, Institute of Science, Matematik, Turkey
2003 - 2007
2003 - 2007Undergraduate
Bursa Uludağ University, Fen Fakültesi, Matematik, Turkey
Dissertations
2015
2015Doctorate
GENELLEŞTİRİLMİŞ CARTAN-VRANCEANU MANİFOLDLARINDAKİ BAZI EĞRİLERİN GEOMETRİSİ
Akdeniz University, Faculty of Science, Matematik
2009
2009Postgraduate
BEZİER EĞRİLERİ VE BEZİER YÜZEYLERİ
Akdeniz University, Faculty of Science, Matematik
Foreign Languages
C1 Advanced
C1 AdvancedEnglish
B1 Intermediate
B1 IntermediateSpanish
Certificates, Courses and Trainings
2015
2015TUBİTAK
Other
Akdeniz Üniversitesi
Research Areas
Mathematics
Differential Geometry
Geometry
Natural Sciences
Academic Positions
2018 - Present
2018 - PresentAssistant Professor
Akdeniz University, Faculty of Science, Department of Mathematics
2009 - 2016
2009 - 2016Research Assistant
Akdeniz University, Faculty of Science, Department of Mathematics
Courses
Supervised Theses
2025
2025Postgraduate
Bézier tipli eğrilerin yeni bir sınıfı üzerine
Yılmaz Ceylan A. (Advisor)
D.ŞEYMA(Student)
2021
2021Postgraduate
Düzlemsel Bézier eğrilerinin eğri çiftleri
Yılmaz Ceylan A. (Advisor)
M.KARA(Student)
Articles
All (16)
SCI-E, SSCI, AHCI (8)
SCI-E, SSCI, AHCI, ESCI (9)
ESCI (1)
Scopus (9)
TRDizin (3)
Other Publications (2)
2025
20251. Parabolic and Linear Rotational Motions on Cones and Hyperboloids
Çolakoğlu H. B., Duru M., Yılmaz Ceylan A.
Axioms , vol.14, no.8, pp.1-19, 2025 (SCI-Expanded)
2025
20252. A Geometric Variational Problem for Pseudo-Galilean Particles
Yılmaz Ceylan A., Turhan T., Özkan Tükel G.
Axioms , vol.14, no.7, pp.1-10, 2025 (SCI-Expanded)
2025
20253. Formulae for Generalization of Touchard Polynomials with Their Generating Functions
YILMAZ CEYLAN A., ŞİMŞEK Y.
Symmetry
, vol.17, no.7, 2025 (SCI-Expanded)
2024
20244. The Formulae and Symmetry Property of Bernstein Type Polynomials Related to Special Numbers and Functions
YILMAZ CEYLAN A., Simsek B.
Symmetry
, vol.16, no.9, 2024 (SCI-Expanded)
2024
20245. Generating functions for polynomials derived from central moments involving bernstein basis functions and their applications
Yılmaz Ceylan A., Şimşek Y.
REVISTA DE LA REAL ACADEMIA DE CIENCIAS EXACTAS, FÍSICAS Y NATURALES. SERIE A: MATEMÁTICAS , vol.118, no.57, pp.1-17, 2024 (SCI-Expanded)
2023
20236. The Geometry of Bézier Curves in Minkowski 3−Space
Ceylan A.
Universal Journal of Mathematics and Applications
, vol.6, no.1, pp.7-14, 2023 (Scopus)
2022
20227. Frenet Frames of Trigonometric B'ezier Curves
YILMAZ CEYLAN A., TURHAN T., ÖZKAN TÜKEL G.
Turkish Journal of Mathematics and Computer Science
, vol.14, no.1, pp.124-128, 2022 (Scopus)
2022
20228. Geometry of contrapedal curves of Bézier curves
YILMAZ CEYLAN A.
Montes Taurus Journal of Pure and Applied Mathematics
, vol.4, no.2, 2022 (Scopus)
2021
20219. Asymptotic Frame Fields of Rational Bézier Curves
ÖZKAN TÜKEL G., TURHAN T., YILMAZ CEYLAN A.
Düzce Üniversitesi Bilim ve Teknoloji Dergisi
, vol.9, no.6, pp.259-268, 2021 (Peer-Reviewed Journal)
2021
202110. On Pedal and Contrapedal Curves of Bézier Curves
YILMAZ CEYLAN A., KARA M.
konuralp journal of mathematics , vol.8, no.2, pp.217-221, 2021 (Peer-Reviewed Journal)
2021
202111. Construction of a new class of Bezier-like curves
YILMAZ CEYLAN A.
MATHEMATICAL METHODS IN THE APPLIED SCIENCES
, vol.44, no.9, pp.7659-7665, 2021 (SCI-Expanded)
2021
202112. ON THE GEOMETRY OF RATIONAL BEZIER CURVES
YILMAZ CEYLAN A., Turhan T., Tukel G. O.
HONAM MATHEMATICAL JOURNAL
, vol.43, no.1, pp.88-99, 2021 (ESCI)
2021
202113. Curve Couples of Bézier Curves in Euclidean 2-Space
YILMAZ CEYLAN A.
Fundamental Journal of Mathematics and Applications , vol.4, no.4, pp.245-250, 2021 (Peer-Reviewed Journal)
2016
201614. Mannheim Partner Curves in Cartan-Vranceanu 3-space
Ceylan A., ERGİN A. A.
FILOMAT
, vol.30, no.4, pp.1089-1095, 2016 (SCI-Expanded)
2015
201515. Bertrand Mate Of A Biharmonic Curve In Cartan Vranceanu 3 Dimensional Space
YILMAZ CEYLAN A., ERGİN A. A.
INTERNATIONAL ELECTRONIC JOURNAL OF GEOMETRY , vol.62, no.8, pp.45-52, 2015 (Peer-Reviewed Journal)
2011
201116. On Bezier surfaces in three-dimensional Minkowski space
Ugail H., Marquez M. C., YILMAZ A.
COMPUTERS & MATHEMATICS WITH APPLICATIONS
, vol.62, no.8, pp.2899-2912, 2011 (SCI-Expanded)
Papers Presented at Peer-Reviewed Scientific Conferences
2025
20251. A study on geometry of Bezier-like curves in the three-dimensional real space
YILMAZ CEYLAN A., KUN D. Ş.
The 8th Mediterranean International Conference of Pure & Applied Mathematics and Related Areas, Osijek, Croatia, 08 September 2025, (Summary Text)
2025
20252. Geometry of Bezier-like curves in R2
KUN D. Ş., YILMAZ CEYLAN A.
The 15th Symposium on Generating Functions of Special Numbers and Polynomials and their Applications, Gaziantep, Turkey, 10 June 2025, (Full Text)
2024
20243. On Bézier-type curves
KUN D. Ş., YILMAZ CEYLAN A.
The 7th Mediterranean International Conference of Pure & Applied Mathematics and Related Areas, 26 October 2024, (Summary Text)
2024
20244. On Generating Functions of Jacobi and Berns tein Polynomials
KUN D. Ş., YILMAZ CEYLAN A.
The 14th Symposium on Generating Functions of Special Numbers and Polynomials and their Applications (GFSNP 2024), Antalya, Turkey, 18 January 2024, (Summary Text)
2023
20235. A new approach to deriving identities for the dual Bernstein basis functions
YILMAZ CEYLAN A.
The 6th Mediterranean International Conference of Pure & Applied Mathematics and Related Areas, Evry, France, 23 - 27 August 2023, (Summary Text)
2022
20226. Bezier forms with dual Bernstein bases
YILMAZ CEYLAN A.
THE 5th MEDITERRANEAN INTERNATIONAL CONFERENCE OF PURE & APPLIED MATHEMATICS AND RELATED AREAS-MICOPAM2022, Antalya, Turkey, 27 October 2022, (Summary Text)
2021
20217. Some notes on the curve couple of Bezier curve
Yılmaz Ceylan A., Kara M.
The 3rd & 4th Mediterranean International Conference of Pure & Applied Mathematics and Related Areas (MICOPAM 2020-2021), Antalya, Turkey, 11 November 2021, (Full Text)
2021
20218. ON BÉZIER CURVES IN MINKOWSKI 3-SPACE
YILMAZ CEYLAN A.
8th International Congress on Fundamental and Applied Sciences, Antalya, Turkey, 19 October 2021, (Summary Text)
2021
20219. Asymptotic Frame Fields of Rational Bézier Curves
ÖZKAN TÜKEL G., TURHAN T., YILMAZ CEYLAN A.
ICAIAME'21, Antalya, Turkey, 01 October 2021, (Summary Text)
2021
202110. FRENET FRAME FIELD OF T-BÉZİER CURVES
YILMAZ CEYLAN A., TURHAN T., ÖZKAN TÜKEL G.
ICAIAME'21, Antalya, Turkey, 01 October 2021, (Summary Text)
2021
202111. RATIONAL BÉZIER CURVES ON 2-DIMENSIONAL ANTI DE SITTER SPACE
TURHAN T., ÖZKAN TÜKEL G., YILMAZ CEYLAN A.
INTERNATIONAL ASIAN CONGRESS ON CONTEMPORARY SCIENCES-V, 01 June 2021, pp.467-473, (Full Text)
2020
202012. On Non-Null Rational Bézier Curves On 2-Dimensional De Sitter Space 𝑺𝟏2
YILMAZ CEYLAN A., TURHAN T., ÖZKAN TÜKEL G.
4th International Conference on Mathematics ”An İstanbul Meeting for World Mathematicians, İstanbul, Turkey, 27 October 2020, (Summary Text)
2020
202013. A Characterization of the Involute Curves of Bézier Curve
YILMAZ CEYLAN A.
4 th INTERNATIONAL CONFERENCE ON MATHEMATICS “An Istanbul Meeting for World Mathematicians”, İstanbul, Turkey, 27 October 2020, (Summary Text)
2020
202014. Darboux Frame Fields of Rational Bezier Curves On the Two Dimensional Sphere
YILMAZ CEYLAN A., TURHAN T., ÖZKAN TÜKEL G.
BILTEK CONFERENCE-III Current Studies on Science, Technology Social Sciences, Adana, Turkey, 19 - 20 June 2020, (Full Text)
2020
202015. A Note on the Killing Magnetic Flow Equations of a Non-null Magnetic Vector Field
TURHAN T., ÖZKAN TÜKEL G., YILMAZ CEYLAN A.
BILTEK CONFERENCE-III Current Studies on Science, Technology Social Sciences, Adana, Turkey, 19 - 20 June 2020, (Full Text)
2019
201916. Bezier-like Curves Based on Exponential Functions
YILMAZ CEYLAN A.
8. INTERNATIONAL EURASIAN CONFERENCE ON MATHEMATICAL SCIENCES AND APPLICATIONS (IECMSA-2019), Baku, Azerbaijan, 27 August 2019, (Summary Text)
2015
201517. Curve Couples in Cartan-Vranceanu Space
YILMAZ CEYLAN A., ERGİN A. A.
28. Ulusal Matematik Sempozyumu, Antalya, Turkey, 07 September 2015, (Summary Text)
2015
201518. Mannheim Curves in Cartan Vranceanu 3 Space
YILMAZ CEYLAN A., ERGİN A. A.
The 28th International Conference of The Jangjeon Mathematical Society, 15 - 19 May 2015, (Summary Text)
2014
201419. On the Biharmonic Meridian Curves of the Rotational Surfaces in Cartan-Vranceanu Space
YILMAZ CEYLAN A., ERGİN A. A.
3rd International Eurasian Conference on Mathematical Sciences and Applications ( IECMSA-2014), Viyana, Austria, 25 August 2014, (Summary Text)
2014
201420. On the Biharmonic Parallel Curves of the Rotational Surfaces in Cartan-Vranceanu Space
YILMAZ CEYLAN A., ERGİN A. A.
3rd International Eurasian Conference on Mathematical Sciences and Applications ( IECMSA-2014), Viyana, Austria, 25 August 2014, (Summary Text)
2013
201321. On Curve Couples of a Biharmonic Curve in Cartan-Vranceanu (2n + 1)-dimensional Space
YILMAZ CEYLAN A., ERGİN A. A., UGAIL H.
2nd International Eurasian Conference on Mathematical Sciences and Applications ( IECMSA-2013), Saray Bosna, Bosnia And Herzegovina, 26 August 2013, (Summary Text)
2013
201322. On Curve Couples of a Biharmonic Curve in Cartan-Vranceanu 3-Dimensional Space
YILMAZ CEYLAN A., ERGİN A. A., Ugail H.
XI.Geometri Sempozyumu, Ordu, Turkey, 01 July 2013, (Summary Text)
2010
201023. Minkowski Uzay Zamanında Yarı Ters Simetrik Reel Bir Matris İçin Rodrigues Formülüne Benzer Bir Formül
ÖZDEMİR M., ERGİN A. A., YILMAZ CEYLAN A., PALANCI O.
VIII.Geometri Sempozyumu, Antalya, Turkey, 29 April 2010, (Summary Text)
Funded Projects
2024 - 2025
2024 - 2025Bezier Tipli Eğrilerin Yeni Bir Sınıfı Üzerine
Project Supported by Higher Education Institutions , BAP PhD
YILMAZ CEYLAN A. (Executive), KUN D. Ş.
Peer Reviews in Scientific Publications
February 2019
February 2019Sakarya University Journal of Science (SAUJS)
Other Indexed Journal
September 2018
September 2018Facta Universitatis’Series Mathematics and Informatics
Other Indexed Journal
October 2015
October 2015Filomat
SCI Journal
Congress and Symposium Activities
01 August 2019 - 01 August 2019
01 August 2019 - 01 August 20198. Uluslararası Avrasya Matematik Bilimleri ve Uygulamaları Konferansı (IECMSA-2019), Bakü
Attendee
Baku-Azerbaijan
01 September 2015 - 01 September 2015
01 September 2015 - 01 September 201528. Ulusal Matematik Sempozyumu
Attendee
Antalya-Turkey
01 May 2015 - 01 May 2015
01 May 2015 - 01 May 2015The 28th International Conference of The Jangjeon Mathematical Society
Attendee
Antalya-Turkey
01 August 2014 - 01 August 2014
01 August 2014 - 01 August 20143. Uluslararası Avrasya Matematik Bilimleri ve Uygulamalar Konferansı (IECMSA-2014), Viyana
Attendee
-Austria
01 August 2013 - 01 August 2013
01 August 2013 - 01 August 20132. Uluslararası Avrasya Matematik Bilimleri ve Uygulamaları Konferansı (IECMSA-2013), Saraybosna
Attendee
-Turkey
01 July 2013 - 01 July 2013
01 July 2013 - 01 July 2013XI.Geometri Sempozyumu, Ordu, Temmuz 2013
Attendee
ORDU-Turkey
01 May 2010 - 01 May 2010
01 May 2010 - 01 May 2010VIII.Geometri Sempozyumu,Antalya, Antalya, Mayıs 2010
Attendee
ANTALYA-Turkey
01 July 2009 - 01 July 2009
01 July 2009 - 01 July 2009VII.Geometri Sempozyumu, Kırşehir, Temmuz 2009
Attendee
KIRŞEHİR-Turkey
01 July 2008 - 01 July 2008
01 July 2008 - 01 July 2008