Yankı Lekili

King's College London
yanki.lekili@kcl.ac.uk

I am a Royal Society University Research Fellow in Geometry.

Curriculum vitae


Seminars:

Articles: ( Citations )

  1. Derived equivalences of gentle algebras via Fukaya categories, 25 pp., submitted (2018)
    (with A. Polishchuk)

  2. Embedding all contact 3-manifolds in a fixed contact 5-manifold, 18 pp., submitted (2017)
    (with J. Etnyre)

  3. Auslander orders over nodal stacky curves and partially wrapped Fukaya categories, 33 pp., submitted (2017)
    (with A. Polishchuk)

  4. Fukaya categories of plumbings and multiplicative preprojective algebras, 25 pp., submitted (2017)
    (with T. Etgü)

  5. Duality between Lagrangian and Legendrian invariants, 104 pp., submitted (2017)
    (with T. Ekholm)

  6. Associative Yang-Baxter equation and Fukaya categories of square-tiled surfaces, 34 pp., submitted (2016)
    (with A. Polishchuk)

  7. Arithmetic mirror symmetry for genus 1 curves with \(n\) marked points , Selecta Mathematica (2017), 1851--1907.
    (with A. Polishchuk)

  8. Generating the Fukaya categories of Hamiltonian G-manifolds, 57 pp., submitted (2015)
    (with J. Evans)

  9. Koszul duality patterns in Floer theory, 73 pp., Geometry & Topology 21 (2017) 3313--3389
    (with T. Etgü)

  10. A modular compactification of \(\mathcal{M}_{1,n}\) from \(A_\infty\)-structures, 45 pp., J. Reine Angew. Math. (Crelle) (2017)
    (with A. Polishchuk)

  11. Floer cohomology of the Chiang Lagrangian, Selecta Mathematica 21 (2015), no. 4, 1361--1404.
    (with J. Evans)

  12. Floer cohomology of \(\mathfrak{g}\)-equivariant Lagrangian branes, Compositio Mathematica 152 (2015), 1071--1110.
    (with J.Pascaleff)

  13. Arithmetic mirror symmetry for the 2-torus, 112 pp., preprint (2012)
    (with T. Perutz)

  14. The symplectic topology of some rational homology balls, Commentarii Mathematics Helvetici 89 (2014), no. 3, 571--596.
    (with M. Maydanskiy)

  15. Fukaya categories of the torus and Dehn surgery, Proc. Natl. Acad. Sci. USA 108 (2011), no. 20, 8106--8113.
    (with T. Perutz)

  16. Planar open books with four binding components, Algebraic & Geometric Topology 11 (2011), no. 2, 909--928.

  17. Milnor fillable contact structures are universally tight, Math. Res. Lett. 17 (2010), no. 6, 1055--1063.
    (with B. Ozbagci)

  18. Geometric composition in quilted Floer theory, Advances in Mathematics 236 (2013), 1--23.
    (with M. Lipyanskiy)

  19. Examples of planar tight contact structures with support norm one, Int. Math. Res. Not. 2010, no. 19, 3723--3728.
    (with T. Etgü)

  20. Broken Lefschetz fibrations, Lagrangian matching invariants and Ozsváth-Szabó invariants, PhD Thesis MIT (2009)

  21. Heegaard Floer homology of broken fibrations over the circle, Advances in Mathematics 244 (2013), 268--302.

  22. Wrinkled fibrations on near-symplectic manifolds, Geometry & Topology 13 (2009) no. 1, 277--318.

Past teaching:

Software: