Dr Jonathan David Evans

Employment

September 2010 - present: ETH Zürich, Postdoctoral Fellow

Education

2006-2010: University of Cambridge, PhD in Mathematics (graduated 17th July 2010)
Supported by Faulkes Studentship in Geometry

2005-2006: University of Cambridge, Certificate of Advanced Studies in Mathematics (passed with distinction)

2002-2005: University of Cambridge, Christ's College. BA in Mathematics
(First Class Honours in Parts IA, IB, II of Mathematical Tripos)
Awarded John Whelan and College Prizes for mathematics in all three years

2000-2002: St Aidan's & St John Fisher's Associated Sixth Form,
A-levels in Further Mathematics, Physics, Chemistry, German, General Studies (all A)
STEP Mathematics 2 & 3 (level S in both), AEA in Physics (distinction)

1995-2000: Upper Nidderdale High School,
11 GCSEs (11A*), A-level in Mathematics (A)

Research interests and preprints

I work in the area of symplectic topology. I am particularly interested in symplectomorphism groups and Lagrangian submanifolds. I am currently thinking about monotone Lagrangian submanifolds and the Gromov-Witten invariants of symplectic nilmanifolds.

J. D. Evans and J. Kędra, Remarks on monotone Lagrangians in Cⁿ, arXiv:1110.0927, submitted October 2011

J. D. Evans, Quantum cohomology of twistor spaces and their Lagrangian submanifolds, arXiv:1106.3959, submitted June 2011

J. D. Evans, The infimum of the Nijenhuis energy, arXiv:1109.4854, to appear in Mathematics Research Letters

J. D. Evans, Symplectic mapping class groups of some Stein and rational surfaces, Journal of Symplectic Geometry 2011 9(1):45-82 or arXiv:0909.5622

J. D. Evans, Lagrangian spheres in Del Pezzo surfaces, Journal of Topology 2010 3(1):181-227 or arXiv:0902.0540

Teaching

I gave the following graduate-level courses at ETH Zürich

• Herbstsemester 2010: A first course in symplectic topology (fourteen 1.5-hour lectures, notes available)
• Herbstsemester 2011: Aspects of Yang-Mills theory (twenty four 45-minute lectures, notes available)

I gave supervisions for the following subjects in the University of Cambridge Mathematical Tripos (attendant revision supervisions in Easter term are omitted):

• Michaelmas 2009: 1st year Group Theory
• Lent 2009: 2nd year Complex Analysis
• Michaelmas 2008: 1st year Group Theory
• Lent 2008: 3rd year Geometry and Groups
• Michaelmas 2007: 1st year Group Theory
• Lent 2007: 2nd year Geometry
• Michaelmas 2006: 3rd year Algebraic Topology

I organised the following graduate-level seminar series:

• ETH Milnorthon parts I and II (11th and 18th March 2011)
• Student Symplectic Seminar, ETH Zürich (September 2010- ongoing)
• Graduate Differential Geometry Seminar, University of Cambridge (2009-2010)
• Reading group on Bridgeland stability conditions, Michaelmas 2009
• Reading group on "Vanishing Cycles and Mutation", Easter 2009
• Additionally I co-organised the Part III seminar series twice (Michaelmas 2006, Lent 2007) and acted as group leader for Differential Geometry in Michaelmas 2007.

Invited talks

Université de Lyon 1, 13th January 2012 "Quantum cohomology of twistor spaces"

DPMMS Differential Geometry Seminar, 26th October 2011 "Quantum cohomology of twistor spaces"

King's/UCL Geometry Seminar, 25th October 2011 "Quantum cohomology of twistor spaces"

Minisymposium on Floer theory, ETH Zürich, 25th July 2011 "Quantum cohomology of twistor spaces"

Humboldt Universität Berlin Geometric Analysis Seminar, 22nd June 2011 "Quantum cohomology of twistor spaces"

Université de Lyon 1, 11th February 2011 "Lagrangian spheres in Del Pezzo surfaces"

Aberdeen Geometry Seminar, 13th December 2010 "Isotopy of Lagrangian submanifolds"

Symplectic Geometry Seminar, ETH Zürich, 4th October 2010 "Symplectic mapping class groups"

Geometry and Topology Seminar, Imperial College, 4th June 2010 "Isotopy of Lagrangian submanifolds"

Oxford Algebraic and Symplectic Geometry Seminar, 27th April 2010 "Isotopy of Lagrangian submanifolds"

Cambridge Differential Geometry Seminar, 17th February 2010 "Symplectic mapping class groups of some Stein and rational surfaces"

Aberdeen Geometry Seminar, 7th February 2010 "Symplectic mapping class groups of some Stein and rational surfaces"

Academic activities

Acted as referee for: Asian Journal of Mathematics, Mathematical Proceedings of the Cambridge Philosophical Society, Memoirs of the AMS.

Reviewed for MathSciNet.

Assisted Dr Jarek Kedra in making the successful EPSRC overseas travel grant proposal EP/I036044/1 (to further our collaboration by allowing him to visit ETH on four separate occasions between May 2011 and May 2012 and also the Joint Mathematical Meeting of the IMU and PMS in Łódź, September 2011) which has led to the joint papers "Monotone Lagrangians in C^n" and "Gromov-Witten theory of the Kodaira-Thurston manifold" (in preparation).

Seminars given

ENS Lyon, 13th January 2012 "Luttinger surgery on Lagrangian tori"

ETH Graduate Symplectic Seminar, 18th July 2011 "Homological mirror symmetry for the quartic surface, V"

ETH Graduate Symplectic Seminar, 7th May 2011 "Homological mirror symmetry for the quartic surface, I"

Zürich Graduate Colloquium, 4th March 2011 "What is a pseudoholomorphic curve?"

ETH Graduate Symplectic Seminar, 25th January 2011 "The Eells-Salamon twistor correspondence"

Aberdeen Pseudoholomorphic Curves Reading Group, 14th December 2010 "Applications of pseudoholomorphic curves"

Graduate Differential Geometry Seminar, Easter 2010, "Hydrodynamics and infinite-dimensional Riemannian geometry"

Graduate Differential Geometry Seminar, Michaelmas 2009, "Hind's theorem on Lagrangian spheres"

Stability Conditions Reading Group, Michaelmas 2009, "Deformations of stability conditions I & II"

VCM Reading Group, Easter 2009: "Vanishing Cycles and Mutation I"

CALF/TCC Geometry Day, April 2009: "Symplectic Mapping Class Groups: Motivation and Methods"

Homological Mirror Symmetry Reading Group, Lent 2009:

• "Categorical mirror symmetry for the elliptic curve II: The Fukaya category"
• "Mirror Symmetry and T-Duality in the Complement of an Anticanonical Divisor"
• "Computations with Holomorphic Curves"

Cambridge Graduate Geometry Tea 2009:

• "Connections and stable bundles"
• "Nielsen Realisation"

Toric Varieties Reading Seminar, Michaelmas 2008: "Toric Varieties: Examples and Singularities"

Bonn International Graduate School Postersession, June 2008: "Symplectic actions of mapping class groups on representation varieties of curves" (poster)

Cambridge Graduate Geometry Chat 2007: "Topology and Lefschetz pencils"

Cambridge Graduate Geometry Chat 2006: "Morse/Floer Stable Homotopy Theory"

Part III Seminars 2005 - 2006:

• "Surgery on 3-manifolds"
• "The Thom Conjecture"

Conferences and visits

January 8 - 20, 2012: Short stay at Université Lyon 1 (courtesy of Dr Jean-Yves Welschinger)

September 11 - 15, 2011: Uniwersytet Łódzki, Joint meeting of the Israeli and Polish Mathematical Societies

June 14 - 18, 2011: Université de Nantes, Conference on Contact and Symplectic Topology

January 27 - 29, 2011: University of Uppsälä, Workshop on Symplectic Geometry, Contact Geometry and Interactions (V)

July 5 - 9, 2010: ICMS Edinburgh, Hofer20: Symplectic Geometry and Transformation Groups

January 28 - 30, 2010: Institut Henri Poinaré, Workshop on Symplectic Geometry, Contact Geometry and Interactions (IV)

July 6 - 10, 2009: Ludwig-Maximilians-Universität München, Symplectic Field Theory IV

April 20 - 22, 2009: University of Edinburgh, Geometry and Physics: Atiyah80

January 29 - 31, 2009: University of Strasbourg, Workshop on Symplectic Geometry, Contact Geometry and Interactions (III)

June 30 - July 11, 2008: Institut Henri Poincaré, Summer School in Symplectic and Real Algebraic Geometry

January 31 - February 2, 2008: Université Libre de Bruxelles, Workshop on Symplectic Geometry, Contact Geometry and Interactions (II)

June 25 - 29, 2007: Stanford University, New Perspectives and Challenges in Symplectic Field Theory (Yashafest)

February 15 - 17, 2007: University of Lille 1, Workshop on Symplectic Geometry, Contact Geometry and Interactions (I)

December 1 - 2, 2006: University of Liverpool, Workshop on Khovanov Homology

June 25 - July 15, 2006: IAS/PCMI, Conference in Low-Dimensional Topology