**Email:** j.d.evans||@||lancaster.ac.uk (remove norm signs)

**Address:** Department of Mathematics and Statistics,

University of Lancaster,

Bailrigg LA1 4YW

**Office:** B64, B - Floor, Fylde College

**Web:** http://jde27.uk

I am a lecturer in the Department of Mathematics and Statistics at the University of Lancaster.

I belong to the Algebra and Geometry Group. I am also a member of Grizedale College.

Before moving to Lancaster, I was at:

- 2012-2019 UCL (Geometry Group)
- 2010-2012 ETH Zürich (postdoc with Paul Biran and Dietmar Salamon)
- 2002-2010 University of Cambridge (UG and PhD with Ivan Smith)

- Linear Algebra (Lancaster 2019)
- Lagrangian torus fibrations (LTCC 2019)
- Topology and Groups (UCL 2018-2019)
- Geometry and Groups (UCL 2015-2016)
- Lie Groups and Lie Algebras (UCL 2013-2016)
- Mathematical Methods 3 (UCL 2012-2014).
- Aspects of Yang-Mills Theory (ETH 2011)
- First course in symplectic topology (ETH 2010)
- Video lectures filmed by students (UCL 2013-14 e-learning project)

My research is currently supported by EPSRC Grant EP/P02095X/2 (formerly known as EP/P02095X/1 when I was at UCL).

**Constructing local models for Lagrangian torus fibrations.**- with M. Mauri
- arXiv:1905.09229 preprint 2019.

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

**Markov numbers and Lagrangian cell complexes in the complex projective plane.**- with I. Smith
- arXiv:1606.08656 or Geometry & Topology (2018) 22(2):1143-1180.

**Generating the Fukaya categories of Hamiltonian G-manifolds.**- with Y. Lekili
- arXiv:1507.05842 or 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 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****C**^{n}.- 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.

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

- Tobias Sodoge (graduated 2017) The geometry and topology of stable coisotropic submanifolds.
- Momchil Konstantinov (graduated 2019) Symplectic topology of projective space: Lagrangians, local systems and twistors.
- Emily Maw (started 2015)
- Angela Wu (started 2017, jointly supervised with Steven Sivek)

- Jack Smith (2017-2019, now at John's College, Cambridge)

- Georgios Dimitroglou Rizell
- Ailsa Keating
- Jarek Kędra
- Yankı Lekili
- Mirko Mauri
- Ivan Smith
- Renato Vianna
- Giancarlo Urzúa

*Symplectic embeddings of rational homology balls*- Glasgow Topology Seminar (October 2019): YouTube version.

*KIAS Lectures on Symplectic aspects of degenerations**Lagrangian cell complexes and Markov numbers*- Institute for Advanced Study (September 2016): video

*Exotic spheres and the topology of symplectomorphism groups**Lectures on symplectic and algebraic geometry*- UK-Japan Mathematical Forum (January 2013): one, two, three and accompanying blog post.

*The quantum cohomology of twistor spaces*- CAST Workshop, Madrid (February 2012), slides.

*Lagrangian spheres in Del Pezzo surfaces**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 and ETH).