CV

Asst. Prof. of Geometry

Department of Mathematics, Hacettepe University

Visiting Researcher

Department of Computer Science, Rice University

• Advisor: Prof. Ron Goldman

Research Assistant of Geometry

Department of Mathematics, Hacettepe University

Ph.D. in Mathematics

Ankara University

Thesis: “Singularities of Geometric Objects and Their Singularities”

• Advisor: Prof. İsmail Gök

M.Sc. in Mathematics

Ankara University

Thesis: “Surface Families with a Common Isophote Curve”

• Advisor: Assoc. Prof. İsmail Gök

B.Sc. in Mathematics

Ankara University, Department of Mathematics

• GPA: 3.71 / 4.00 (High Honor Degree)
• Completed in 3.5 years

BİDEB 2214-A International Research Fellowship Programme for Ph.D. Students

The Scientific and Technological Research Council of Türkiye (TÜBİTAK)

International research fellowship supporting doctoral studies abroad

BİDEB 2211-A National Ph.D. Scholarship

The Scientific and Technological Research Council of Türkiye (TÜBİTAK)

Competitive national scholarship awarded for doctoral studies in mathematics

Hybrid number triplets and a new polar representation for hybrid numbers

Proc. Nat. Acad. Sci. India A 95, 337–347

B. Koçay, O. Oğulcan Tuncer, İ. Gök & Y. Yaylı. DOI: 10.1007/s40010-025-00934-x.

Kinematics of persistent rigid motions traced by adapted frames along null Cartan curves

Math. Meth. Appl. Sci. 48(18), 16830–16845

O. Oğulcan Tuncer. DOI: 10.1002/mma.70130.

The negative degree q-Bernstein bases and the multirational q-blossom

Rocky Mt. J. Math. 55(4), 1137–1152

O. Oğulcan Tuncer, P. Simeonov & R. Goldman. DOI: 10.1216/rmj.2025.55.1137.

Superintegrability in the interaction of two particles with spin

J. Phys. A: Math. Theor. 58, 245201

O. Oğulcan Tuncer & İ. Yurduşen. DOI: 10.1088/1751-8121/adde03.

Null surfaces of pseudo-spherical spacelike framed curves in the anti-de Sitter 3-space

Acta Math. Sinica (Eng. Ser.) 40(12), 3043–3054

O. Oğulcan Tuncer. DOI: 10.1007/s10114-024-3369-6.

Pedal curves of hyperbolic frontals and their singularities

J. Geom. 115, Article 37

O. Oğulcan Tuncer & İ. Gök. DOI: 10.1007/s00022-024-00736-3.

Framed Bertrand and Mannheim curves in three-dimensional space forms of non-zero constant curvatures

Int. Electron. J. Geom. 17(2), 447–465

O. Oğulcan Tuncer. DOI: 10.36890/iejg.1440270.

Singularities of focal sets of pseudo-spherical framed immersions in the three-dimensional anti-de Sitter space

Diff. Geom. Appl. 96, 102175

O. Oğulcan Tuncer. DOI: 10.1016/j.difgeo.2024.102175.

Basic hypergeometric formulas and identities for negative degree q-Bernstein bases

Filomat 38, 2941–2948

O. Oğulcan Tuncer, P. Simeonov & R. Goldman. DOI: 10.2298/FIL2408941O.

On the uniqueness of the multirational blossom

Comput. Aided Geom. Des. 107, 102252

O. Oğulcan Tuncer, P. Simeonov & R. Goldman. DOI: 10.1016/j.cagd.2023.102252.

On (contra)pedals and (anti)orthotomics of frontals in de Sitter 2-space

Math. Meth. Appl. Sci. 46(9), 11157–11171

Y. Li & O. Oğulcan Tuncer. DOI: 10.1002/mma.9173.

Hyperbolic caustics of light rays reflected by hyperbolic front mirrors

Eur. Phys. J. Plus 138, 266

O. Oğulcan Tuncer & İ. Gök. DOI: 10.1140/epjp/s13360-023-03891-9.

Symmetrization of the product of Hermitian operators

Comput. Phys. Commun. 274, 108341

İ. Yurduşen & O. Oğulcan Tuncer. DOI: 10.1016/j.cpc.2022.108301.

Generalized tubes in pseudo-Galilean 3-space: Split semi quaternionic representations and an application to magnetic flux tubes

Math. Meth. Appl. Sci. 45, 1468–1487

O. Oğulcan Tuncer. DOI: 10.1002/mma.7866.

Kinematic equations of magnetic flux tubes based on split quaternion algebra

Eur. Phys. J. Plus 136, 910

Z. Özdemir, O. Oğulcan Tuncer & İ. Gök. DOI: 10.1140/epjp/s13360-021-01893-z.

Superintegrable systems with spin and second-order tensor and pseudo-tensor integrals of motion

J. Phys. A: Math. Theor. 54, 305201

İ. Yurduşen, O. Oğulcan Tuncer & P. Winternitz. DOI: 10.1088/1751-8121/ac0a9e.

The construction of circular surfaces with quaternions

Asian-Eur. J. Math. 12(7), 1950091

Z. Çanakcı, O. Oğulcan Tuncer, İ. Gök & Y. Yaylı. DOI: 10.1142/S1793557119500918.

Circular Surfaces with Split Quaternionic Representations in Minkowski 3-space

Adv. Appl. Clifford Algebras 28, 63

O. Oğulcan Tuncer, Z. Çanakcı, İ. Gök & Y. Yaylı. DOI: 10.1007/s00006-018-0883-6.

Notes on pedal and contrapedal curves of fronts in the Euclidean plane

Math. Meth. Appl. Sci. 41, 5096–5111

O. Oğulcan Tuncer, H. Ceyhan, İ. Gök & F. N. Ekmekci. DOI: 10.1002/mma.5056.

Some new types of associated curves in Euclidean 3-space

An. Şt. Univ. Ovidius Constanta 26(1), 205–221

S. Özdoğan, O. Oğulcan Tuncer, İ. Gök & Y. Yaylı. DOI: 10.2478/auom-2018-0013.

A New Representation of Canal Surfaces with Split Quaternions in Minkowski 3-Space

Adv. Appl. Clifford Algebras 27, 1387–1409

E. Kocakuşaklı, O. Oğulcan Tuncer, İ. Gök & Y. Yaylı. DOI: 10.1007/s00006-016-0723-5.

Quantum Superintegrable Systems with Spin and Physical Applications