CORDIS Project
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This project investigates low dimensional topology and symplectic geometry, focusing on Lagrangian matching invariants and their application to three-manifolds. It aims to deepen the understanding of these invariants and their connection to Floer theory, while exploring new symplectic techniques.
My main research interests are in low dimensional topology, symplectic geometry and gauge theory.
Over the past 20 years, these fields has seen an explosion of activity due to its relevance to string theory.As part of my PhD thesis, I proved an equivalence between two 3-manifold invariants coming from Floer theory.
These are Perutz's Lagrangian matching invariants and Ozsvath and Szabo's Heegaard Floer theory.
Although, Heegaard Floer theory has been studied extensively, Lagrangian matching inva…
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THE CHANCELLOR MASTERS AND SCHOLARS OF THE UNIVERSITY OF CAMBRIDGE
United Kingdom, Cambridge
Type: University / higher education
Activity type: Higher or Secondary Education Establishments
SME: No
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