Education
2007 - 2010
2007 - 2010Doctorate
Ankara University, Fen Bilimleri Enstitüsü, Matematik (Dr), Turkey
2004 - 2006
2004 - 2006Postgraduate
Kirikkale University, Instıtute Of Scıence, Matematik (Yl) (Tezli), Turkey
1998 - 2002
1998 - 2002Undergraduate
Gazi University, Fen-Edebiyat Fakültesi, Matematik Pr., Turkey
Dissertations
2010
2010Doctorate
Tensör çarpım yüzeyleri ve Lie grupları
Ankara University, Fen Bilimleri Enstitüsü, Matematik (Dr)
2006
2006Postgraduate
Düzlemde ve uzayda kinematik geometri
Kirikkale University, Fen Bilimleri Enstitüsü, Matematik (Yl) (Tezli)
Foreign Languages
B2 Upper Intermediate
B2 Upper IntermediateEnglish
Research Areas
Mathematics
Geometry
Research Areas Based on Academic Activities
Avesis Research Areas
WoS Research Areas
Scopus Research Areas
Managerial Experience
2022 - 2024
2022 - 2024Vice Rector
Bilecik Seyh Edebali University
2019 - 2022
2019 - 2022Dean
Bilecik Seyh Edebali University
2017 - 2020
2017 - 2020Head of Department
Bilecik Seyh Edebali University
2019 - 2019
2019 - 2019University Executive Board Member
Bilecik Seyh Edebali University
2014 - 2019
2014 - 2019Head of Department
Bilecik Seyh Edebali University
2012 - 2014
2012 - 2014Deputy Head of Department
Bilecik Seyh Edebali University
Articles
All (44)
SCI-E, SSCI, AHCI (12)
SCI-E, SSCI, AHCI, ESCI (20)
ESCI (8)
Scopus (19)
TRDizin (10)
Other Publications (13)
2025
20251. Direction Curves of Vectorial Moments with Respect to an Alternative Frame in Euclidean Space
ORUÇ U., TURAN M., ÖZKALDI KARAKUŞ S.
COMMUNICATIONS IN ADVANCED MATHEMATICAL SCIENCES , vol.8, no.4, pp.247-260, 2025 (Peer-Reviewed Journal)
2025
20252. A New Perspective On Hyper Dual Fibonnaci And Hyper Dual Lucas Numbers
TURAN M., ÖZKALDI KARAKUŞ S.
Turkish Journal of Mathematics and Computer Science , vol.17, no.2, pp.527-533, 2025 (Scopus, TRDizin)
2025
20253. q-Leonardo Hyper Dual Numbers
Turan M., ÖZKALDI KARAKUŞ S.
Konuralp Journal of Mathematics
, vol.13, no.2, pp.317-324, 2025 (Scopus)
2025
20254. Hybrid numbers with balancing and Lucas balancing hybrid number coefficients
Turan M., Karakus S. O.
Communications Faculty of Sciences University of Ankara Series A1: Mathematics and Statistics
, vol.74, no.3, pp.395-402, 2025 (ESCI, TRDizin)
2025
20255. On HD-Split Euler-Rodrigues Equations
Doğan Yazıcı B., Özkaldı Karakuş S., Gül E.
INTERNATIONAL ELECTRONIC JOURNAL OF GEOMETRY
, vol.18, no.1, pp.124-134, 2025 (ESCI, Scopus)
2024
20246. On the Quaternionic Normal Curves in the Euclidean Space
YILDIZ Ö. G., ÖZKALDI KARAKUŞ S.
THAI JOURNAL OF MATHEMATICS , vol.22, no.3, pp.533-543, 2024 (ESCI, Scopus)
2024
20247. HOMOTHETIC MOTIONS WITH GENERALIZED TRICOMPLEX NUMBERS
ÖZKALDI KARAKUŞ S., KAHRAMAN AKSOYAK F., ÖZAYDIN G.
HONAM MATHEMATICAL JOURNAL , vol.46, no.1, pp.101-113, 2024 (ESCI)
2024
20248. On electromagnetic curves and geometric phase associated with frontals in de-Sitter 2-space
DOĞAN YAZICI B., ÖZKALDI KARAKUŞ S.
Indian Journal of Physics
, vol.98, no.3, pp.1021-1030, 2024 (SCI-Expanded, Scopus)
2023
20239. On adjoint curves of framed curves and some ruled surfaces
DOĞAN YAZICI B., ÖZKALDI KARAKUŞ S., TOSUN M.
HONAM MATHEMATICAL JOURNAL , vol.45, no.3, pp.380-396, 2023 (ESCI)
2023
202310. A new perspective on bicomplex numbers with Leonardo number components
Turan M., KARAKUŞ S. Ö., NURKAN S. K.
Communications Faculty of Sciences University of Ankara Series A1: Mathematics and Statistics
, vol.72, no.2, pp.340-351, 2023 (TRDizin)
2022
202211. On the classification of framed rectifying curves in Euclidean space
Yazıcı B., Karakuş S., Tosun M.
Mathematical Methods in the Applied Sciences
, vol.45, no.18, pp.12089-12098, 2022 (SCI-Expanded, Scopus)
2022
202212. Hyper-Dual Leonardo Numbers
ÖZKALDI KARAKUŞ S., Turan M., NURKAN S.
Konuralp Journal of Mathematics , vol.10, no.2, pp.269-275, 2022 (Peer-Reviewed Journal)
2022
202213. ON FRAMED TZITZEICA CURVES IN EUCLIDEAN SPACE
DOĞAN YAZICI B., ÖZKALDI KARAKUŞ S., TOSUN M.
FACTA UNIVERSITATIS-SERIES MATHEMATICS AND INFORMATICS , vol.37, no.2, 2022 (Peer-Reviewed Journal)
2022
202214. Framed Curves and Their Applications Based on a New Differential Equation
Yazıcı B., Karakus¸ S., Tosun M.
International Electronic Journal of Geometry
, vol.15, pp.41-56, 2022 (Scopus, TRDizin)
2021
202115. Characterizations of Framed Curves in Four-Dimensional Euclidean Space
DOĞAN YAZICI B., ÖZKALDI KARAKUŞ S., TOSUN M.
Universal Journal of Mathematics and Applications , vol.4, no.4, pp.125-131, 2021 (Peer-Reviewed Journal)
2021
202116. HOMOTHETIC MOTIONS VIA GENERALIZED BICOMPLEX NUMBERS
KAHRAMAN AKSOYAK F., ÖZKALDI KARAKUŞ S.
FACTA UNIVERSITATIS-SERIES MATHEMATICS AND INFORMATICS , vol.36, no.2, pp.275-291, 2021 (ESCI)
2020
202017. A study on spacelike rectifying curves in Minkowski 3-space
DOĞAN YAZICI B., ÖZKALDI KARAKUŞ S.
TBILISI MATHEMATICAL JOURNAL , pp.11-26, 2020 (ESCI)
2020
202018. Framed normal curves in Euclidean space
DOĞAN YAZICI B., ÖZKALDI KARAKUŞ S., TOSUN M.
TBILISI MATHEMATICAL JOURNAL , pp.27-37, 2020 (ESCI)
2019
201919. A NEW REPRESENTATION OF CONSTANT ANGLE SURFACES IN H2 R WITH SPLIT QUATERNIONS
KARAKUŞ S. Ö.
Communications Faculty of Sciences University of Ankara Series A1: Mathematics and Statistics
, vol.68, no.1, pp.633-642, 2019 (Peer-Reviewed Journal)
2019
201920. Quaternionic Approach On Constant Angle Surfaces In S2x R
ÖZKALDI KARAKUŞ S.
APPLIED MATHEMATICS E - NOTES , pp.497-506, 2019 (Scopus)
2018
201821. Screw Theory in Lorentzian Space
Karakuş S.
Advances in Applied Clifford Algebras
, vol.29, no.1, 2018 (SCI-Expanded, Scopus)
2018
201822. Conics and Quadrics in Lorentzian Space
ÇİÇEK A., KARAKUŞ S. Ö., GÜNDOĞAN H.
Mathematical Sciences and Applications E-Notes
, vol.6, no.1, pp.58-63, 2018 (Peer-Reviewed Journal)
2018
201823. Certain Constant Angle Surfaces Constructed on Curves in Minkowski 3-Space
ÖZKALDI KARAKUŞ S.
INTERNATIONAL ELECTRONIC JOURNAL OF GEOMETRY
, vol.11, no.1, pp.37-47, 2018 (TRDizin)
2016
201624. On the Quaternionic Normal Curves in the Semi Euclidean Space E4 2
YILDIZ Ö. G., ÖZKALDI KARAKUŞ S.
International Journal of Mathematical Combinatorics , vol.3, pp.68-76, 2016 (Peer-Reviewed Journal)
2016
201625. A New Approach about the Determination of a Developable Spherical Orthotomic Ruled Surface in R3 1
YILDIZ Ö. G., ÖZKALDI KARAKUŞ S., HACISALİHOĞLU H. H.
INTERNATIONAL ELECTRONIC JOURNAL OF GEOMETRY , vol.9, no.1, pp.62-69, 2016 (TRDizin)
2016
201626. A New Approach about the Determination of a Developable Spherical Orthotomic Ruled Surface in R13
YILDIZ Ö. G., ÖZKALDI KARAKUŞ S., HACISALİHOĞLU H. H.
INTERNATIONAL ELECTRONIC JOURNAL OF GEOMETRY , vol.9, no.1, pp.62-69, 2016 (Peer-Reviewed Journal)
2015
201527. Generalized Bicomplex Numbers and Lie Groups
Karakuş S., Aksoyak F. K.
Advances in Applied Clifford Algebras
, vol.25, no.4, pp.943-963, 2015 (SCI-Expanded, Scopus)
2015
201528. ON CURVE COUPLES WITH JOINT LIGHTLIKE FRENET PLANES IN MINKOWSKI 3 SPACE
UÇUM A., İLARSLAN K., ÖZKALDI KARAKUŞ S.
ACTA UNIVERSITATIS APULENSIS , vol.41, pp.111-129, 2015 (Peer-Reviewed Journal)
2015
201529. On curve couples with joint timelike Frenet planes in Minkowski 3- Space
UÇUM A., İLARSLAN K., ÖZKALDI KARAKUŞ S.
Acta Universitatis Apulensis , vol.44, pp.87-108, 2015 (Peer-Reviewed Journal)
2015
201530. On the Determination of a Developable Spherical Orthotomic Timelike Ruled Surface
YILDIZ Ö. G., ÖZKALDI KARAKUŞ S., Hasan Hilmi H.
KONURALP TIP DERGISI , vol.3, no.1, pp.75-83, 2015 (TRDizin)
2015
201531. On the determination of a developable spherical orthotomic ruled surface
YILDIZ Ö. G., Karakuş S., Hacısalihoğlu H. H.
Bulletin of Mathematical Sciences
, vol.5, no.1, pp.137-146, 2015 (SCI-Expanded, Scopus)
2014
201432. CURVE COUPLES AND SPACELIKE FRENET PLANES IN MINKOWSKI 3 SPACE
UÇUM A., İLARSLAN K., ÖZKALDI KARAKUŞ S.
HONAM MATHEMATICAL JOURNAL , vol.36, no.3, pp.475-492, 2014 (Peer-Reviewed Journal)
2014
201433. A NEW APPROACH FOR CHARACTERIZATION OF CURVE COUPLES IN EUCLIDEAN 3 SPACE
ÖZKALDI KARAKUŞ S., İLARSLAN K., YAYLI Y.
HONAM MATHEMATICAL JOURNAL , vol.36, no.1, pp.113-129, 2014 (Peer-Reviewed Journal)
2013
201334. A Note on Inextensible Flows of Curves in En
YILDIZ Ö. G., ÖZKALDI KARAKUŞ S., TOSUN M.
INTERNATIONAL ELECTRONIC JOURNAL OF GEOMETRY , vol.6, no.2, pp.118-124, 2013 (Peer-Reviewed Journal)
2013
201335. LC helix on hypersurfaces in minkowski space E1n+1
Karakuş S., Şenol A., Ghadami R., YAYLI Y.
International Journal of Pure and Applied Mathematics
, vol.86, no.3, pp.471-485, 2013 (Scopus)
2012
201236. Rotations and Screw Motion with Timelike Vector in 3-Dimensional Lorentzian Space
Keçilioǧlu O., Özkaldi S., Gündoǧan H.
Advances in Applied Clifford Algebras
, vol.22, no.4, pp.1081-1091, 2012 (SCI-Expanded, Scopus)
2012
201237. Bicomplex number and tensor product surfaces in ℝ42
Karakuş S., YAYLI Y.
Ukrainian Mathematical Journal
, vol.64, no.3, pp.344-355, 2012 (SCI-Expanded, Scopus)
2011
201138. Dual Split Quaternions and Screw Motion in 3-Dimensional Lorentzian Space
ÖZKALDI KARAKUŞ S., Gündoǧan H.
Advances in Applied Clifford Algebras
, vol.21, no.1, pp.193-202, 2011 (SCI-Expanded, Scopus)
2011
201139. Constant Angle Surfaces And Curves In E3
ÖZKALDI KARAKUŞ S., YAYLI Y.
International Electronic Journal of Geometry , vol.4, pp.70-78, 2011 (Peer-Reviewed Journal)
2011
201140. On Mannheim partner curves in dual Lorentzian space
Özkaldi S., Ilarslan K., YAYLI Y.
Hacettepe Journal of Mathematics and Statistics
, vol.40, no.5, pp.649-661, 2011 (SCI-Expanded, Scopus, TRDizin)
2010
201041. Tensor product surfaces in R4 and lie groups
ÖZKALDI KARAKUŞ S., Yayuli Y.
Bulletin of the Malaysian Mathematical Sciences Society
, vol.33, no.1, pp.69-77, 2010 (SCI-Expanded, Scopus)
2010
201042. Cayley formula, Euler parameters and rotations in 3-dimensional Lorentzian space
ÖZKALDI KARAKUŞ S., Gündoǧan H.
Advances in Applied Clifford Algebras
, vol.20, no.2, pp.367-377, 2010 (SCI-Expanded, Scopus)
2010
201043. LC Slant Helix On Hypersurfaces In Minkowski Space En 1
ÖZKALDI KARAKUŞ S., GÖK İ., YAYLI Y., hacısalihoğlu h. h.
TWMS J. Pure Appl. Math. , vol.1, pp.137-145, 2010 (Peer-Reviewed Journal)
2009
200944. Clifford product and lorentzian plane displacements in 3-dimensional Lorentzian space
Gündoǧan H., ÖZKALDI KARAKUŞ S.
Advances in Applied Clifford Algebras
, vol.19, no.1, pp.43-50, 2009 (SCI-Expanded, Scopus)
Papers Presented at Peer-Reviewed Scientific Conferences
2022
20221. Smarandache Curves of Fronts in the Sphere
DOĞAN YAZICI B., ÖZKALDI KARAKUŞ S., TOSUN M.
11th INTERNATIONAL EURASIAN CONFERENCE ON MATHEMATICAL SCIENCES AND APPLICATIONS, Turkey, 29 August 2022, (Summary Text)
2022
20222. Parallel p-equidistant ruled surface of special singular curves
DOĞAN YAZICI B., ÖZKALDI KARAKUŞ S., TOSUN M.
19th INTERNATIONAL GEOMETRY SYMPOSIUM, Turkey, 27 June 2022, (Summary Text)
2021
20213. Characterizations of Framed Curves in Four-Dimensional Euclidean Space
DOĞAN YAZICI B., ÖZKALDI KARAKUŞ S., TOSUN M.
10th International Eurasian Conference on Mathematical Sciences and Applications (IECMSA-2021), Turkey, 25 August 2021, (Summary Text)
2021
20214. On Framed Tzitzeica Curves in Euclidean Space
DOĞAN YAZICI B., ÖZKALDI KARAKUŞ S., TOSUN M.
18th International Geometry Symposium in Honour of Prof.Dr. Sadık KELEŞ, Turkey, 12 July 2021, (Summary Text)
2020
20205. Classification of framed rectifying curves in Euclidean space
DOĞAN YAZICI B., ÖZKALDI KARAKUŞ S., TOSUN M.
9th INTERNATIONAL EURASIAN CONFERENCE ON MATHEMATICAL SCIENCES AND APPLICATIONS (IECMSA-2020), Skopje, Macedonia, 25 - 28 August 2020, (Summary Text)
2018
20186. A Study on Rectifying Non-Null Curves in Minkowski 3-space
DOĞAN B., ÖZKALDI KARAKUŞ S.
16th International Geometry Symposium, 4 - 07 July 2018, (Summary Text)
2017
20177. Some Characterizations of Quaternionic Normal Curves
YILDIZ Ö. G., DOĞAN B., ÖZKALDI KARAKUŞ S.
15th International Geometry Symposium, 3 - 06 July 2017, (Summary Text)
2014
20148. A New Approach about the Determination of a Developable Spherical Orthotomic Spacelike Ruled Surface
YILDIZ Ö. G., ÖZKALDI KARAKUŞ S., Hacısalihoğlu H. H.
3rd International Eurasian Conference on Mathematical Sciences and Applications, Viyana, Austria, 25 - 28 August 2014, (Summary Text)
2014
20149. On the Determination of a Timelike Developable Spherical Orthotomic Ruled Surface
YILDIZ Ö. G., ÖZKALDI KARAKUŞ S., Hasan Hilmi H.
3rd International Eurasian Conference on Mathematical Sciences and Applications, Viyana, Austria, 25 - 28 August 2014, (Summary Text)
2014
201410. On the Determination of a Developable Spherical Orthotomic Ruled Surface
YILDIZ Ö. G., ÖZKALDI KARAKUŞ S., Hasan Hilmi H.
XII. Geometri Sempozyumu, Bilecik, Turkey, 23 - 26 June 2014, (Summary Text)
2013
201311. On the Quaternionic Normal Curves in the Euclidean Space
YILDIZ Ö. G., ÖZKALDI KARAKUŞ S.
2nd International Eurasian Conference on Mathematical Sciences and Applications, Saraybosna, Bosnia And Herzegovina, 26 - 29 August 2013, vol.1, (Summary Text)
2013
201312. On the Quaternionic Normal Curves in E3
ÖZKALDI KARAKUŞ S., YILDIZ Ö. G.
XI. Geometri Sempozyumu, Ordu, Turkey, 1 - 05 July 2013, (Summary Text)
2012
201213. A Note on Inextensible Flows of Curves in En
YILDIZ Ö. G., TOSUN M., ÖZKALDI KARAKUŞ S.
1st International Eurasian Conference on Mathematical Sciences and Applications, Piriştine, Montenegro, 3 - 07 September 2012, vol.1, (Summary Text)
2012
201214. On the Quaternionic Normal Curves in the Semi-Euclidean Space E4_2
YILDIZ Ö. G., ÖZKALDI KARAKUŞ S.
X. Geometri Sempozyumu, Balıkesir, Turkey, 13 - 16 June 2012, vol.1, (Summary Text)
Books
2020
20201. A study on spacelike rectifying curves in Minkowski 3-space
DOĞAN YAZICI B., ÖZKALDI KARAKUŞ S.
in: TBILISI - MATHEMATICS (Tbilisi Mathematical Journal Special Issues, 1), , Editor, Sciendo, pp.11-26, 2020