Jonny Evans's CV
CV
General information
- Jonathan David Evans
- http://www.homepages.ucl.ac.uk/~ucahjde
- j.d.evans@ucl.ac.uk
Education/employment
- — 2016— Senior Lecturer in Mathematics, University College London
- — 2012–2016 Lecturer in Mathematics, University College London
- — 2010–2012 ETH Postdoctoral Fellow, ETH Zürich
- — 2006–2010 PhD Mathematics, University of Cambridge
- — 2005–2006 MMath, University of Cambridge (Distinction)
- — 2002–2005 BA Mathematics, University of Cambridge (First-class honours)
Research
I study problems in geometry and topology; I tend to look at things through the lens of symplectic topology.
- Antiflips, mutations, and unbounded symplectic embeddings of
rational homology balls.
- with G.Urzúa
- arXiv:1807.06073 preprint 2018.
- Bounds on Wahl singularities from symplectic topology.
- with I. Smith
- arXiv:1708.02268 preprint 2017.
- Markov numbers and Lagrangian cell complexes in the complex
projective plane.
- with I. Smith
- arXiv:1606.08656 or Geometry & Topology 22 (2018) 1143–1180.
- Generating the Fukaya categories of Hamiltonian G-manifolds.
- with Y. Lekili
- arXiv:1507.05842 to appear in Journal of the American Mathematical Society.
- Exotic spheres and the topology of symplectomorphism groups.
- with G. Dimitroglou Rizell
- arXiv:1407.3173 or Journal of Topology (2015) 8(2):586-602.
- Floer cohomology of the Chiang Lagrangian.
- with Y. Lekili
- arXiv:1401.4073 or Selecta Mathematica (2015) 21(4):1361-1404.
- Unlinking and unknottedness of Lagrangian submanifolds.
- with G. Dimitroglou Rizell
- arXiv:1211.6633 or Geometry & Topology, (2014) 18:997-1034.
- Pseudoholomorphic tori in the Kodaira-Thurston manifold.
- with J. Kędra
- arXiv:1205.1239 or Compositio Mathematica (2015) 151(12) 2212-2250.
- Remarks on monotone Lagrangians in Cn.
- with J. Kędra
- arXiv:1110.0927 or Mathematical Research Letters (2014) 6:1241-1255.
- The infimum of the Nijenhuis energy.
- arXiv:1109.4854 or Mathematical Research Letters, (2012) 19(2):383-388.
- Quantum cohomology of twistor spaces and their Lagrangian
submanifolds.
- arXiv:1106.3959 or Journal of Differential Geometry, (2014) 96(3)353-397.
- Symplectic mapping class groups of some Stein and rational surfaces.
- arXiv:0909.5622 or Journal of Symplectic Geometry (2011) 9(1):45-82.
- Lagrangian spheres in Del Pezzo surfaces.
- arXiv:0902.0540 or Journal of Topology (2010) 3(1):181-227.
Achievements
- — 2017–2020 Awarded EPSRC Grant EP/P02095X/1 "Singularities and Symplectic Topology" (£350,715).
- — 2014–2017 Codirector for First Years, London School of Geometry and Number Theory.
- — January 2017, Co-organised the UK-Japan Winter School "Singularities, Symmetries and Submanifolds" at UCL.
- — Provost Teaching Award 2016.
- — Student Choice Awards Nominee:
- Outstanding Support for Teaching 2017.
- Outstanding Research Supervision 2017, 2018.
- Outstanding Researcher Development 2016.
- — E-Learning Development Grant 2013 Video lectures filmed by students.
- — July 2014, Co-organised Workshop on Contact Geometry at UCL.
Supervision
Postdocs
- — Jack Smith (started 2017 on EPSRC Grant EP/P02095X/1).
PhD students
- — Tobias Sodoge (started 2013, graduated 2017),
- — Momchil Konstantinov (started 2014).
- — Emily Maw (started 2015).
- — Angela Wu (started 2017, supervised jointly with Steven Sivek).
I am also secondary supervisor for several students and have acted as external examiner (Oldřich Spáčil, University of Aberdeen, 2013).
Other supervision
I also have supervised:
- — 4 first-year PhD student projects with the London School of Geometry and Number Theory. Two of these continued working with me for the rest of the PhD. The topics covered included Lagrangian isotopy problems (Emily Maw 2015), Floer cohomology with nonabelian coefficients (Momchil Konstantinov 2014), family Floer theory (Alex Kite 2014) and the A_∞-structure on quantum cohomology (Navid Nabijou 2014).
- — 6 masters projects, 3 of whom have gone on to study for a PhD in Mathematics. The topics covered have included mapping class groups of surfaces, exotic 4-manifolds, geometric invariant theory, characteristic classes and Floer theory.
- — 6 summer projects, on topics ranging from hyperbolic 3-manifolds and braid groups to Feynman diagrams.
Teaching
- — Topology and Groups (masters level) 2017
- — A Guided Tour of Symplectic Topology (PhD level) 2015
- — Geometry and Groups (second year undergraduate) 2015–2016
- — Lie Groups and Lie Algebras (masters level) 2013–2016
- — Mathematical Methods 3 (second year undergraduate) 2012–2014
- — Aspects of Yang-Mills Theory (masters level) 2011
- — First Course in Symplectic Topology (masters level) 2010
Other activities
- — Since 2012 I have been a member of the Departmental Teaching Committee, and was involved in the design of several courses (Lie Groups and Lie Algebras, Geometry and Groups, Morse Theory).
- — I have given sessions on geometry for high school students at summer workshops run by UCL. I have also spoken for the UCL Undergraduate Maths Society and wrote an expository piece on Geometry and Undecidability for the UCL alumni newsletter. I sometimes give talks at open days for UCL.
- — I created and maintain a website for UCL maths students to see the dependencies between the courses we offer.
- — I created the website for the UCL Geometry and Topology Group.
- — I write expository notes for my students, keep a blog of variable regularity, and sometimes post maths videos to Youtube.