*King's College London*

* yanki.lekili@kcl.ac.uk*

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

(with A. Polishchuk)

- Arithmetic mirror symmetry for genus 1 curves with \(n\) marked points , 53 pp., To appear in Selecta Mathematica (2016)

(with A. Polishchuk)

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

(with J. Evans)

- Koszul duality patterns in Floer theory, 73 pp., submitted (2016)

(with T. Etgü)

- A modular compactification of \(\mathcal{M}_{1,n}\) from \(A_\infty\)-structures, 45 pp., submitted (2014)

(with A. Polishchuk)

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

(with J. Evans)

- Floer cohomology of \(\mathfrak{g}\)-equivariant Lagrangian branes, 44 pp., Compositio Mathematica (2015)

(with J.Pascaleff)

- Arithmetic mirror symmetry for the 2-torus, 95 pp., submitted (2012)

(with T. Perutz)

- The symplectic topology of some rational homology balls, Comment. Math. Helv. 89 (2014), no. 3, 571--596.

(with M. Maydanskiy)

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

(with T. Perutz)

- Planar open books with four binding components, Algebr. Geom. Topol. 11 (2011), no. 2, 909--928.

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

(with B. Ozbagci)

- Geometric composition in quilted Floer theory, Adv. Math. 236 (2013), 1--23.

- Corrigendum, To appear in Adv. Math.

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

(with T. Etgü)

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

- Heegaard Floer homology of broken fibrations over the circle, Adv. Math. 244 (2013), 268--302.

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

- Representation theory and Geometry (Spring 2015)
- Algebraic Topology I (Fall 2014)