Homotopy theory, Category theory, Stable homotopy theory, Spectral sequences (theory and computations), Manifolds and bordisms, Actions of monoids.
"Semigroup actions on sets and the Burnside ring" (joint with Özgün Ünlü), Applied Categorical Structures 26.1 (2018): 7-28. DOI:10.1007/s10485-016-9477-4. (arXiv:1506.06967)
"On smooth manifolds with the homotopy type of a homology sphere" Topology and its Applications 234 (2018): 82-91. DOI:10.1016/j.topol.2017.11.006. (arXiv:1603.07906)
"Approximating to monoid actions by group actions" Submitted. (arXiv:1609.06785)
"A model structure via orbit spaces for equivariant homotopy". (joint with Aslı Güçlükan İlhan), Submitted.
"(Co)homology and (co)homotopy theories graded over monoidal categories".(joint with Özgün Ünlü), To be submitted. (partly appears in the Ph.D. thesis).
"Equivariant and relative versions of spectral sequences and their applications".(joint with Özgün Ünlü), To be submitted. (partly appears in the Ph.D. thesis).
2015-2016 Spring : Calculus I - Bilkent U.
2015-2016 Summer : Calculus II - Bilkent U.
2016-2017 Fall : Calculus I, Calculus and Linear Algebra II - TEDU.
2016-2017 Spring : Calculus I - Bilkent U.
2016-2017 Summer : Calculus I - Bilkent U.
2017-2018 Fall : Calculus II - Bilkent U.
Equivariant model structures via orbit spaces,
Boğaziçi University Mathematics Colloquium, 2018.
Boğaziçi University, İstanbul, Turkey
Vector bundles that occur as normal bundles of manifolds, DEU Algebra Day, 2018. Dokuz Eylül University, İzmir, Turkey
Cobordisms of G-framed manifolds, İzmir Mathematics Days, 2018.
Yaşar University, İzmir, Turkey
Approximating to monoid actions by group actions, Antalya Algebra Days, 2017, Şirince, İzmir, Turkey
Actions of monoidal categories and exotic gradings of cohomology,
IYTE Mathematics Department Seminar, 2017,
İzmir Institute of Technology, İzmir, Turkey
Burnside rings of monoids, Geometry/Topology Working Days, 2016, Atılım University, Ankara, Turkey
Monoid actions, (co)homology theories and (co)homotopy theories,
Workshop on Equivariant Homotopy and ∞-categories, 2015,
IMBM, İstanbul, Turkey.
The Image of the Orientation Homomorphism,
Bilkent Algebraic Topology Seminars, 2014,
Bilkent University, Ankara, Turkey
On manifolds with (G,ξ)-structure and the Hurewicz map (poster), Bonn International Graduate School in Mathematics Annual Poster Sessions 2013, University of Bonn, Bonn, Germany.
The Equivariant James Spectral Sequence, Some Trends in Algebra 2013, Charles University, Prague, Czech Republic
E-mail: merdal (at) fen (dot) bilkent (dot) edu (dot) tr - or - akiferdal (at) g mail (dot) com
Bilkent University
Faculty of Science
Mathematics Department
Çankaya/Ankara
