Graduate Program in Mathematics.Öztürk, Ferit.Sağlam, Murat.2023-03-162023-03-162007.MATH 2007 S24https://digitalarchive.library.bogazici.edu.tr/handle/123456789/15231In this thesis, we study the proof of the Weinstein conjecture for 3-dimensional closed manifolds equipped with an overtwisted contact structure. The method of filling by pseudoholomorphic disks and the bubbling-off analysis are the main tools that are used in this proof.30cm.xii, 79 leaves;