Jonny Evans

Room 802a, Department of Mathematics,

UCL, Gower Street, London, WC1E 6BT

j.d.evans • ucl.ac.uk

My name is Jonny Evans. I'm a senior lecturer in mathematics at University College London (UCL), part of the UCL Geometry and Topology Group.

- UCL Geometry and Topology Group page, blog and UCL/KCL Geometry Seminar.
- Symplectic Cut Seminar.
- London School of Geometry and Number Theory.
- Mathematical Field Notes: my blog and a small, but growing, collection of actual fieldnotes mostly written to remind me of stuff I've told my PhD students.
- My Youtube channel (maths videos for my teaching).

In 2014, I produced a visual guide to the UCL undergraduate mathematics course and here is the source code I used.

- MATH7112: Geometry and Groups (Moodle).
- MATHM206: Lie Groups and Lie Algebras (Moodle).
- Fourth-year projects.
- Mathematical reading, good books and thoughts on undergraduate research.

- Mathematical Methods 3 (UCL 2012, 2013, 2014). Notes, Q0, Q1, Q2, Q3, Q4, Q5, Q6, Q7, Q8.
- Aspects of Yang-Mills theory (24 lecture graduate course, ETH 2011).
- First course in symplectic topology (21 lecture graduate course, ETH 2010).
- 2013-2014 E-learning project: Video lectures filmed by students.

I am interested in symplectic topology and Floer theory, particularly in questions about Lagrangian submanifolds.

Me on arXiv and MathSciNet.

My collaborators: Jarek Kędra, Yankı Lekili, Georgios Dimitroglou Rizell and Ivan Smith.

- – J. D. Evans and I. Smith, Markov numbers and Lagrangian cell complexes in the complex projective plane.

preprint 2016. (arXiv:1606.08656) - – J. D. Evans and Y. Lekili, Generating the Fukaya categories of Hamiltonian G-manifolds.

preprint 2015. (arXiv:1507.05842) - – J. D. Evans and J. Kędra, Pseudoholomorphic tori in the Kodaira-Thurston manifold.

Compositio Mathematica (2015) 151(12) 2212-2250. (arXiv:1205.1239) - – G. Dimitroglou Rizell and J. D. Evans, Exotic spheres and the topology of symplectomorphism groups.

Journal of Topology (2015) 8(2):586-602. (arXiv:1407.3173) - – J. D. Evans and Y. Lekili, Floer cohomology of the Chiang Lagrangian.

Selecta Mathematica (2015) 21(4):1361-1404. (arXiv:1401.4073) - – J. D. Evans and J. Kędra, Remarks on monotone Lagrangians in
**C**^{n}.

Mathematical Research Letters (2014) 6:1241-1255. (arXiv:1110.0927) - – G. Dimitroglou Rizell and J. D. Evans, Unlinking and unknottedness of Lagrangian submanifolds.

Geometry & Topology, (2014) 18:997-1034. (arXiv:1211.6633) - – J. D. Evans, Quantum cohomology of twistor spaces and their Lagrangian submanifolds.

Journal of Differential Geometry, (2014) 96(3)353-397. (arXiv:1106.3959) - – J. D. Evans, The infimum of the Nijenhuis energy.

Mathematical Research Letters, (2012) 19(2):383-388. (arXiv:1109.4854) - – J. D. Evans, Symplectic mapping class groups of some Stein and rational surfaces.

Journal of Symplectic Geometry (2011) 9(1):45-82. (arXiv:0909.5622) - – J. D. Evans, Lagrangian spheres in Del Pezzo surfaces.

Journal of Topology (2010) 3(1):181-227. (arXiv:0902.0540)

- Institute for Advanced Study (September 2016). Lagrangian cell complexes and Markov numbers, video.
- Simons Center for Geometry and Physics (August 2014). Exotic spheres and the topology of symplectomorphism groups, video and slides.
- UK-Japan Mathematical Forum (January 2013). Lectures one, two, three and accompanying blog post.
- Symplectic Seminar, University of Hamburg (May 2012). The symplectic geometry of twistor spaces.
- Lagrangian spheres in Del Pezzo surfaces (from Lyon, February 2011 and Oxford, April 2010)
- Slides from a colloquium I gave in Neuchâtel (April 2012) on symplectic Picard-Lefschetz theory (expository, mostly pictures!)
- ENS Lyon (January 2012) on Luttinger surgery (expository).
- Slides/notes from successful job/postdoc talks (UCL and ETH).

- The Cost of Knowledge.
- The Faulkes Foundation who funded my PhD and who also fund excellent projects such as the Faulkes Telescope Project, which allows schoolchildren to remotely operate powerful telescopes in Hawaii.
- All the talk notes and teaching materials available from this site are released under a CC-BY-SA 3.0 Licence. That means you're free to use them as long as you give appropriate attribution and release derivatives under an isomorphic licence. Inform yourself about how your institution deals with intellectual property.
- My wife blogs about libraries.

Last updated 25th September 2016.