## Mehmet Akif Erdal##
Department of Mathematics Bilkent University Ankara, Turkey |

*2003 Sept. - 2007 June*: B.Sc. in Mathematics at Middle East Technical University.*2007 Sept. - 2010 Jan.*: M.Sc. in Mathematics at Bilkent University (Advisor: Özgün Ünlü).*2010 Jan. - 2016 Dec.*: Ph.D. in Mathematics at Bilkent University (Advisor: Özgün Ünlü).

*2013 Mar. - 2014 Mar.*: Visiting Ph.D. Student at University of Bonn (Advisor: Stefan Schwede).*2018 Mar. - Present.*: Research Fellow at Bilkent University (Advisor: Özgün Ünlü).

- 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

Faculty of Science

Mathematics Department

Ã‡ankaya/Ankara