## Yankı Lekili

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

I am a Royal Society University Research Fellow and a Reader in Geometry.

### Articles: ( Citations )

1. Homological mirror symmetry for K3 surfaces via moduli of $$A_\infty$$-structures , 40 pp., preprint (2018)
(with K. Ueda)

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

3. Embedding all contact 3-manifolds in a fixed contact 5-manifold, 18 pp., To appear in Journal of the London Mathematical Society (2017)
(with J. Etnyre)

4. Auslander orders over nodal stacky curves and partially wrapped Fukaya categories, Journal of Topology 11 (2018), no. 3, 615--644.
(with A. Polishchuk)

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

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

7. Associative Yang-Baxter equation and Fukaya categories of square-tiled surfaces, 34 pp., To appear in Advances in Mathematics (2018)
(with A. Polishchuk)

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

9. Generating the Fukaya categories of Hamiltonian G-manifolds, 60 pp. To appear in Journal of the American Mathematical Society (2018)
(with J. Evans)

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

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

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

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

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

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

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

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

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

19. Geometric composition in quilted Floer theory, Advances in Mathematics 236 (2013), 1--23.
Corrigendum, Advances in Mathematics 308 (2017), 1340--1345.
(with M. Lipyanskiy)

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

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.

### Letter of recommendations:

I have come to understand that students do not always realise what is involved in asking for a reference. It is my responsibility to write a letter for students who have taken a course from me, or did a project under my supervision and did well. I am also happy to write a letter for you if your research is directly related to my previous work or if you know that I happen to be enthusiastic about what you are doing. However, writing a good letter is a lot of work and let me tell you, the streets are littered with bad recommendation letters. If I accept to write a letter for you, I really do aspire to write a good one. To help with this, I require that I should be asked at least three weeks in advance. You should provide me with all the relevant documents (research/teaching statements, CV, copy of thesis/papers) in a single e-mail. You should also provide a list of places where you are applying and some guidelines on how to submit my letter.