Contact
I am a Reader in Mathematics in the Algebra & Geometry section of the Department of Mathematics and Statistics at the University of Lancaster.
 Email:
 j.d.evans@lancaster.ac.uk
 Address:
 Department
of Mathematics and Statistics,
University of Lancaster,
Bailrigg LA1 4YW  Office:
 B64, B Floor, Fylde College
 Web:
 http://jde27.uk
Research
I work on problems in geometry and topology. I am particularly interested in the symplectic topology of algebraic varieties.
Joint with Yanki Lekili and Ailsa Keating, I run the Free Mathematics Seminar (currently on hiatus).
Support
 202226
 EPSRC Grant EP/W015749/1 "New Frontiers in Symplectic Topology" (joint with YankI Lekili).
 201720
 EPSRC Grant EP/P02095X/2 "Singularities and Symplectic Topology" (formerly known as EP/P02095X/1)
Research group
 Current PhD students
 Patrick Ramsey, Matt Buck, Elliot Gathercole
 Current postdocs
 Angelica Simonetti, Kai Hugtenburg
 Past PhD students
 Emily Maw, Momchil Konstantinov, Tobias Sodoge
 Past postdocs
 Jack Smith, Daniel Cavey.
Collaborators
 Georgios Dimitroglou Rizell
 Ailsa Keating
 Jarek Kędra
 Yankı Lekili
 Mirko Mauri
 Ivan Smith
 Renato Vianna
 Giancarlo Urzúa
Papers/books/preprints
 Noncommutative crepant resolutions of cA_{n} singularities via Fukaya categories
 with Y. Lekili, arXiv:2307.06592
 Lectures on Lagrangian torus fibrations.
 a book, arXiv:2110.08643
 London Mathematical Society Student Texts Series, Number 105 (Cambridge University Press), 2023.
 Symplectic cohomology of compound Du Val singularities.
 with Y. Lekili, arXiv:2104.11713
 to appear in Annales Henri Lebesgue.
 A Lagrangian Klein bottle you can't squeeze.
 arXiv:2009.01546

Journal
of Fixed Point Theory and Applications Volume
24 (2022) Article number 47,
in Symplectic geometry  A Festschrift in honour of 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. 537570.
 Antiflips, mutations, and unbounded symplectic embeddings of rational homology balls.
 with G. Urzúa, arXiv:1807.06073
 Annales de l'Institut Fourier, Volume 71 (2021) no.5 pp. 18071843.
 Bounds on Wahl singularities from symplectic topology.
 with I. Smith, arXiv:1708.02268
 Algebraic Geometry, (2020) 1(1) 5985.
 Markov numbers and Lagrangian cell complexes in the complex projective plane.
 with I. Smith, arXiv:1606.08656
 Geometry & Topology (2018) 22(2):11431180.
 Generating the Fukaya categories of Hamiltonian Gmanifolds.
 with Y. Lekili, arXiv:1507.05842
 Journal of the American Mathematical Society (2019) 32:119162.
 Exotic spheres and the topology of symplectomorphism groups.
 with G. Dimitroglou Rizell, arXiv:1407.3173
 Journal of Topology (2015) 8(2):586602.
 Floer cohomology of the Chiang Lagrangian.
 with Y. Lekili, arXiv:1401.4073
 Selecta Mathematica (2015) 21(4):13611404.
 Unlinking and unknottedness of Lagrangian submanifolds.
 with G. Dimitroglou Rizell, arXiv:1211.6633
 Geometry & Topology, (2014) 18:9971034.
 Pseudoholomorphic tori in the KodairaThurston manifold.
 with J. Kędra, arXiv:1205.1239
 Compositio Mathematica (2015) 151(12) 22122250.
 Remarks on monotone Lagrangians in C^{n}.
 with J. Kędra, arXiv:1110.0927
 Mathematical Research Letters (2014) 6:12411255.
 The infimum of the Nijenhuis energy.
 arXiv:1109.4854
 Mathematical Research Letters, (2012) 19(2):383388.
 Quantum cohomology of twistor spaces and their Lagrangian submanifolds.
 arXiv:1106.3959
 Journal of Differential Geometry, (2014) 96(3)353397.
 Symplectic mapping class groups of some Stein and rational surfaces.
 arXiv:0909.5622
 Journal of Symplectic Geometry (2011) 9(1):4582.
 Lagrangian spheres in Del Pezzo surfaces.
 arXiv:0902.0540
 Journal of Topology (2010) 3(1):181227.
Talk notes/videos
 Symplectic cohomology of compound Du Val singularities
 Lisbon Geometry Seminar (Feb 2022)
 A Lagrangian Klein bottle you can't squeeze
 Western Hemisphere Virtual Symplectic Seminar (Sep 2020)
 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
 UKJapan 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 PicardLefschetz 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
Teaching
 Current
 Lie Groups and Lie Algebras (Lancaster 2020, UCL 20132016)
 Algebraic curves (Lancaster 2022)
 Past
 Linear Algebra (Lancaster 20192022)
 Lagrangian torus fibrations (LTCC 2019)
 Topology and Groups (UCL 20182019)
 Geometry and Groups (UCL 20152016)
 Mathematical Methods 3 (UCL 20122014)
 Aspects of YangMills Theory (ETH 2011)
 First course in symplectic topology (ETH 2010)
Useful links
Lancaster students may find the following links useful:
 Part II Handbook
 The ASK service (allpurpose student enquiry desk at Lancaster: very knowledgeable and helpful)
 Disability services
 Counselling and mental health services
 Change of module
 Change of programme
 Exceptional Circumstances page (for if your coursework or exam results have been adversely affected by circumstances beyond your control).
 Intercalation (if you want to interrupt your studies for a year)