• Projelerde Yaptığı Görevler
• 1 Yükseköğretim Sektörü Yatırım Karar Destek Sistemi Geliştirilmesi Etüt Projesi, Kalkınma Bakanlığı, AYYILDIZ Nihat, 22.04.2016 - 20.01.2017 (ULUSAL)
• 2 Üç Boyutlu Lorentz Uzayında Küresel ve Uzay Hareketlerinin Diferansiyel Kinematikleri, Yükseköğretim Kurumları tarafından destekli bilimsel araştırma projesi, AYYILDIZ Nihat, 12.11.2012 - 12.09.2017 (ULUSAL)
• 3 Üç Boyutlu Minkowski Uzayında Lightlike Doğrultmanlı Regle Yüzeylerin Eğrilik Teorisi Üzerine, BAP, AYYILDIZ Nihat, 16.12.2009 - 16.09.2010 (ULUSAL)
• 4 Dual Lorentz Uzay Hareketlerinin Ani İnvaryantları, BAP, AYYILDIZ Nihat, 16.12.2009 - 10.06.2010 (ULUSAL)

• Uluslararası Hakemli Dergilerde Yayımlanan Makaleler
• 1 TURHAN TUNAHAN, AYYILDIZ NİHAT, A Study On Geometry of Spatial Kinematics in Lorentzian Space. Süleyman Demirel Üniversitesi Fen Bilimleri Enstitüsü Dergisi, 21(3), , 808-811. Doi: 10.19113/sdufbed.76191, (2017), (Alan Endeksleri)
• 2 TURHAN TUNAHAN, ÖZDEMİR VİLDAN, AYYILDIZ NİHAT, Some Results on Point Line Trajectories in Lorentz 3 space. International Electronic Journal of Geometry, 9(2), , 44-49. (2016), (Alan Endeksleri)
• 3 TURHAN TUNAHAN, AYYILDIZ NİHAT, Skew symmetric matrices and integral curves in Lorentzian spaces. Kuwait Journal of Science, 43(3), , 41-49. (2016), (SCI-Expanded)
• 4 TURHAN TUNAHAN, AYYILDIZ NİHAT, Characterization of integral curves of a linear vector field in Lorentz 3 space. International Journal of Geometric Methods in Modern Physics, 13(6), , 1-15. Doi: 10.1142/s0219887816500730, (2016), (SCI-Expanded)
• 5 TURHAN TUNAHAN, YÜKSEL NURAL, AYYILDIZ NİHAT, On pseudohyperbolic space motions. Turkish Journal of Mathematics, 3(39), , 750-762. (2015), (SCI-Expanded)
• 6 TURHAN TUNAHAN, AYYILDIZ NİHAT, Integral Curves of a Linear Vector Field in Semi Euclidean Spaces. Dynamic Systems and Applications, 3(24), , 361-374. (2015), (SCI-Expanded)
• 7 TURHAN TUNAHAN, AYYILDIZ NİHAT, A Study on Inextensible Flows of Spherical Curves. Asian Journal of Mathematics and Computer Research, 3(3), , 184-189. (2015), (Alan Endeksleri)
• 8 AYYILDIZ NİHAT, ÖZBEY EMİNE, A study on dual lorentzian spherical motions. International Journal of Physical and Mathematical Sciences, 3(1), (2012), (Alan Endeksleri)
• 9 AYYILDIZ Nihat, Tunahan Turhan, A Study on a Ruled Surface with Lightlike Ruling for a Null Curve with Cartan Frame. Bull. Korean Math. Soc, 49(3), , 635-645. (2012), (SCI-Expanded)
• 10 TURHAN TUNAHAN, AYYILDIZ NİHAT, On Curvature Theory of Ruled Surfaces with Lightlike Ruling in Minkowski 3 Space. International Journal of Mathematical Sciences and Applications , 1295-1302. (2011), (Alan Endeksleri)
• 11 AYYILDIZ NİHAT, BOZDAĞ ŞERİFE NUR, On Instantaneous Invariants in Dual Lorentzian Space Kinematics. Archives of Mechanics, 62(3), , 223-238. (2010), (SCI-Expanded)
• 12 YÜCESAN AHMET, AYYILDIZ NİHAT, Non degenerate hypersurfaces of a semi Riemannian manifold with a semi symmetric metric connection. Archivum Mathematicum, 44(1), , 77-78. (2008), (Alan Endeksleri)
• 13 YÜCESAN AHMET, AYYILDIZ NİHAT, ÇÖKEN ABDİLKADİR CEYLAN, On Rectifying Dual Space Curves. Revista Matematica Complutense, 20(2), , 497-506. (2007), (SCI-Expanded)
• 14 AYYILDIZ Nihat, A Ceylan Çöken, Ahmet Yücesan, A Characterization of Dual Lorentzian Spherical Curves in the Dual Lorentzian Space. Taiwanese Journal of Mathematics, 11(4), , 1001-1020. (2007), (SCI-Expanded)
• 15 AYYILDIZ Nihat, Ahmet Yücesan, On the Scalar and Dual Formulations of the Curvature Theory of Line Trajectories in the Lorentzian Space. Journal of the Korean Mathematical Society, 43(6), , 1339-1355. (2006), (SCI-Expanded)
• 16 YÜCESAN AHMET, ÇÖKEN ABDİLKADİR CEYLAN, AYYILDIZ NİHAT, Manning Gerald S, On The Relaxed Elastic Line on Pseudo Hypersurfaces in Pseudo Euclidean Spaces. Applied Mathematics and Computation, 155(2), , 353-372. (2004), (SCI-Expanded)
• 17 YÜCESAN AHMET, ÇÖKEN ABDİLKADİR CEYLAN, AYYILDIZ NİHAT, On the dual Darboux rotation axis of the timelike dual space curve. Balkan Journal of Geometry and Its Applications, 7(2), , 137-142. (2002), (SCI-Expanded)

• Uluslararası Bilimsel Toplantılarda Sunulan ve Bildiri Kitaplarında (proceedings) Basılan Bildiriler
• 1 TURHAN TUNAHAN, AYYILDIZ NİHAT, A study on the integral invariants of a closed spacelike ruled surface. Algebraic and geometric methods of analysis (2017). (Özet bildiri)
• 2 YILDIRIM Selen, AYYILDIZ NİHAT, A study on rectifying curves in semi-Euclidean space. Algebraic and geometric methods of analysis (2017). (Özet bildiri)
• 3 TURHAN TUNAHAN, AYYILDIZ NİHAT, On Geometry of Spatial Kinematics in Lorentzian Space. Algebraic and geometric methods of analysis (2017). (Özet bildiri)
• 4 TURHAN TUNAHAN, ÖZDEMİR VİLDAN, AYYILDIZ NİHAT, A Survey on Rectifying Curves in Lorentz n Space. 14th International Geometry Symposium (2016). (Özet bildiri)
• 5 ÖZDEMİR VİLDAN, TURHAN TUNAHAN, AYYILDIZ NİHAT, Kinematic geometry of pseudo spherical evolutes. VI Congress of Mathematicians of Macedonia (2016). (Özet bildiri)
• 6 TURHAN TUNAHAN, ÖZDEMİR VİLDAN, AYYILDIZ NİHAT, On Matrices and Vector Field in Minkowski 3 space. VI Congress of Mathematicians of Macedonia (2016). (Özet bildiri)
• 7 ÖZDEMİR VİLDAN, TURHAN TUNAHAN, AYYILDIZ NİHAT, Some characterizations of point line trajectories in Lorentz 3 space. VI Congress of Mathematicians of Macedonia (2016). (Özet bildiri)
• 8 BACAK VİLDAN, AYYILDIZ NİHAT, New Equations for Involute Evolute Curves in Euclidean 3 space. International Conference on Mathematics and Mechanics (2015). (Özet bildiri)

• Ulusal Hakemli Dergilerde Yayımlanan Makaleler
• 1 TURHAN TUNAHAN, GÖKTEPE YUNUS EMRE, AYYILDIZ NİHAT, Matlab Applications for Skew-Symmetric Matrices and Integral Curves in Lorentzian Spaces. Düzce Üniversitesi Bilim ve Teknoloji Dergisi, 5(2), , 611-621. (2017), (TR DİZİN)