Jonny Evans: Homepage

I work on problems in geometry and topology. I am particularly interested in the symplectic topology of algebraic varieties.

From 2017-2020, my research was supported by EPSRC Grant EP/P02095X/2 "Singularities and Symplectic Topology" (formerly known as EP/P02095X/1 when I was at UCL).

Lectures on Lagrangian torus fibrations.

a book, arXiv:2110.08643

Symplectic cohomology of compound Du Val singularities.

with Y. Lekili, arXiv:2104.11713

A Lagrangian Klein bottle you can't squeeze.

arXiv:2009.01546

to appear in Journal of Fixed Point Theory and Applications (special volume for Claude Viterbo's 60th birthday)

Constructing local models for Lagrangian torus fibrations.

with M. Mauri, arXiv:1905.09229

Annales Henri Lebesgue, Volume 4 (2021), pp. 537-570.

Antiflips, mutations, and unbounded symplectic embeddings of rational homology balls.

with G. Urzúa, arXiv:1807.06073

to appear in Annales de l'Institut Fourier.

Bounds on Wahl singularities from symplectic topology.

with I. Smith, arXiv:1708.02268

Algebraic Geometry, (2020) 1(1) 59-85.

Markov numbers and Lagrangian cell complexes in the complex projective plane.

with I. Smith, arXiv:1606.08656

Geometry & Topology (2018) 22(2):1143-1180.

Generating the Fukaya categories of Hamiltonian G-manifolds.

with Y. Lekili, arXiv:1507.05842

Journal of the American Mathematical Society (2019) 32:119-162.

Exotic spheres and the topology of symplectomorphism groups.

with G. Dimitroglou Rizell, arXiv:1407.3173

Journal of Topology (2015) 8(2):586-602.

Floer cohomology of the Chiang Lagrangian.

with Y. Lekili, arXiv:1401.4073

Selecta Mathematica (2015) 21(4):1361-1404.

Unlinking and unknottedness of Lagrangian submanifolds.

with G. Dimitroglou Rizell, arXiv:1211.6633

Geometry & Topology, (2014) 18:997-1034.

Pseudoholomorphic tori in the Kodaira-Thurston manifold.

with J. Kędra, arXiv:1205.1239

Compositio Mathematica (2015) 151(12) 2212-2250.

Remarks on monotone Lagrangians in Cⁿ.

with J. Kędra, arXiv:1110.0927

Mathematical Research Letters (2014) 6:1241-1255.

The infimum of the Nijenhuis energy.

arXiv:1109.4854

Mathematical Research Letters, (2012) 19(2):383-388.

Quantum cohomology of twistor spaces and their Lagrangian submanifolds.

arXiv:1106.3959

Journal of Differential Geometry, (2014) 96(3)353-397.

Symplectic mapping class groups of some Stein and rational surfaces.

arXiv:0909.5622

Journal of Symplectic Geometry (2011) 9(1):45-82.

Lagrangian spheres in Del Pezzo surfaces.

arXiv:0902.0540

Journal of Topology (2010) 3(1):181-227.

A Lagrangian Klein bottle you can't squeeze

Western Hemisphere Virtual Symplectic Seminar (September 2020): YouTube version

Symplectic embeddings of rational homology balls

Glasgow Topology Seminar (October 2019): YouTube version

KIAS Lectures on Symplectic aspects of degenerations

Three lectures given at the 2019 ASADCS conference in Seoul: notes

Lagrangian cell complexes and Markov numbers

Institute for Advanced Study (September 2016): video

Exotic spheres and the topology of symplectomorphism groups

Simons Center for Geometry and Physics (August 2014): video and slides

Lectures on symplectic and algebraic geometry

UK-Japan Mathematical Forum (January 2013): notes from Lecture 1, Lecture 2, Lecture 3 and accompanying blog post

The quantum cohomology of twistor spaces

CAST Workshop, Madrid (February 2012), slides

Lagrangian spheres in Del Pezzo surfaces

Lyon, February 2011 and Oxford, April 2010

Symplectic Picard-Lefschetz theory (expository, mostly pictures!)

Slides from a colloquium I gave in Neuchâtel (April 2012).

Luttinger surgery (expository)

ENS Lyon (January 2012) expository notes

Slides/notes from successful job/postdoc talks

Lancaster

UCL

ETH