Yankı Lekili
King's College London
yanki.lekili@kcl.ac.uk
I am a Royal Society University Research Fellow in Geometry.
Teaching:
Seminars:
- Auslander orders over nodal stacky curves and partially wrapped Fukaya categories, 33 pp., preprint (2017)
(with A. Polishchuk)
- Fukaya categories of plumbings and multiplicative preprojective algebras, 25 pp., submitted (2017)
(with T. Etgü)
- Duality between Lagrangian and Legendrian invariants, 104 pp., submitted (2017)
(with T. Ekholm)
- 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 , Selecta Mathematica (2017), 1851--1907.
(with A. Polishchuk)
- Generating the Fukaya categories of Hamiltonian G-manifolds, 57 pp., submitted (2015)
(with J. Evans)
- Koszul duality patterns in Floer theory, Geometry & Topology 21 (2017) 3313--3389
(with T. Etgü)
- A modular compactification of \(\mathcal{M}_{1,n}\) from \(A_\infty\)-structures, 45 pp., J. Reine Angew. Math. (Crelle) (2017)
(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, Compositio Mathematica 152 (2015), 1071--1110.
(with J.Pascaleff)
- Arithmetic mirror symmetry for the 2-torus, 112 pp., preprint (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.
(with M. Lipyanskiy)
- Examples of planar tight contact structures with support
norm one, Int. Math. Res. Not. 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.
Past teaching:
Software:
I am a supporter of free software movement. Find out more about this at fsf.org.
I use Arch Linux on my laptop. Here is a file that details how I installed it. I use FreeNAS on my server, which in particular provides a git repository for collaborative work. I use pfSense on my router to protect my network.