I am a Professor of Mathematics at the University of Glasgow. My research lies mainly in low-dimensional contact and symplectic topology.
Selected Publications & Preprints
- Computing Heegaard Floer invariants of closed contact 3-manifolds from open books (with C. Kutluhan, G. Matic, and J. Van-Horn Morris) preprint
- Fibered ribbon pretzels (with A. Lecuona) preprint
- Stein-fillability and positivity in the mapping class group (with V. Brejevs), to appear in Journal of Symplectic Geometry
- Stein-fillable open books of genus one that do not admit positive factorisations (with V. Brejevs), Math. Res. Lett. 30.3 (2023), 709–719
- Filtering the Heegaard Floer contact invariant (with C. Kutluhan, G. Matic, and J. Van-Horn Morris), Geometry and Topology 27(6) (2023), 2181–2236
- Algebraic torsion via Heegaard Floer homology (with C. Kutluhan, G. Matic, and J. Van-Horn Morris), to appear in Proc. Symposia in Pure Mathematics
- Tightness is preserved by Legendrian surgery, Annals of Mathematics 182 (2015), 723–738
- Factorizations of diffeomorphisms of compact surfaces with boundary, Geometry & Topology 19 (2015), 2407–2464
- Detecting tightness via open book decompositions, Geometry & Topology Monographs 19 (2015), 291–317
- Surgery and tightness in contact 3-manifolds, Gökova Geometry and Topology Conference Proceedings (2014)
- Mapping class group relations, Stein fillings, and planar open book decompositions, Journal of Topology (2011)
Some Conferences Organised
- LMS Durham Symposium: Pseudoholomorphic Curves and Gauge Theory in Low-Dimensional Topology, 2019
- Geometric structures in 3 and 4 manifolds, Dubrovnik 2018
- Developments in Contact and Symplectic Topology, Glasgow 2016
PhD Students
- Vitalijs Brejevs
- Tanushree Shah
- Miguel Orbegozo Rodriguez
- Isacco Nonino
- El Hayes
- Rory Morrison
Contact
School of Mathematics & Statistics
University of Glasgow
15 University Gardens
Glasgow G12 8QW
Scotland