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Curriculum Vitae.

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Research Overview

  Algebraic topology, in particular group actions on manifolds and CW-complexes, cohomology
of groups and Mackey functors, homotopy theory in particular homotopical combinatorics, applied algebraic topology.

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Publications

• Rank conditions for finite group actions on 4-manifolds, joint work with I. Hambleton,
   Canad. J. Math. Volume 74 , Issue 2 , April 2022 , pp. 550 - 572 
•  Relative Cohomology and The Orbit Category, joint work with E. Yalçın,
  Communications in Algebra, Volume 42, Issue 7, July 2014, pp. 3220-3243
• Equivariant CW-Complexes and The Orbit Category, joint work with I. Hambleton
  and E. Yalçın, Commentarii Mathematici Helveciti, Volume 88, Issue 2, 2013, pp.
  369-425
• Projective Resolutions of Globally Defined Mackey Functors in Characteristic Zero,
  joint work with Olcay Coşkun, Archiv der Math. 96 (2011), pp. 39 - 48
• Periodic Resolutions and Finite Group Actions (2008), Ph.D. Thesis
• Connection Preserving Conformal Diffeomorphisms of Spheres (2002), MSc.Thesis

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Graduate Students

• Türkmen Örnek (PhD. "Discrete bifurcation diagrams and persistence", Applied Algebraic Topology, finished in August 2018)
• Alev Meral (PhD. "Sonlu işaretlenmiş noktalı tor yüzeylerinde genelleştirilmiş Dynnikov koordinatları", Geometric Topology, finished in July 2019, Dicle University, co-advisor)
• Batuhan Aydoğdu (PhD."",  Algebraic Topology, passed qualify exams, expected to finish in  2027)
• Ebru Adıgüzel (MSc. "On equivelar triangulations of surfaces", Combinatorial Topology, finished in August 2018)
• Dilan Karagüler (MSc. "A survey on multidimensional persistence theory", Applied Algebraic Topology, finished in August 2021)
• Damla Erdoğan (MSc. "On extending group actions from surfaces to three spheres", Geometric Topology, finished in June 2022)
• Selçuk Gürses (MSc. "A survey on persistence landscape theory", Applied Algebraic Topology, finished in July 2022 )
• Başak Küçük (MSc. "Finite group actions on 4-manifolds", Algebraic Topology, finished in July 2022)
• M. Erkam Özdemir (MSc. "Homological algebra for minimal Euler characteristics for certain manifolds", Algebraic Topology, finished in August 2024)
• Berat Geven (MSc. "Betti tables of multiparameter persistence modules", Applied Algebraic Topology, finished in August 2024)
• Tunahan Erçoğul (MSc. "Extending Persistent Homology Through Zigzag Modules", Applied Algebraic Topology, finished in June 2025)