Yankı Lekili
King's College London
yanki.lekili@kcl.ac.uk
I am a Royal Society University Research Fellow and a Reader in Geometry.
Teaching:
Seminars:
- Homological mirror symmetry for higher dimensional pairs of pants, 33 pp., preprint (2018)
(with A. Polishchuk)
- Homological mirror symmetry for K3 surfaces via moduli of \(A_\infty\)-structures , 40 pp., preprint (2018)
video
(with K. Ueda)
- Derived equivalences of gentle algebras via Fukaya categories, 25 pp., submitted (2018) video0 , video1 , video2
(with A. Polishchuk)
- 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)
- Auslander orders over nodal stacky curves and partially wrapped Fukaya categories, Journal of Topology 11 (2018), no. 3, 615--644. video
(with A. Polishchuk)
- Fukaya categories of plumbings and multiplicative preprojective algebras, 25 pp., submitted (2017) video
(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., To appear in Advances in Mathematics (2018)
(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, Journal of the American Mathematical Society (2019), no. 1, 119--162. video
(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) video
(with T. Perutz)
- The symplectic topology of some rational homology balls, Commentarii Mathematics Helvetici 89 (2014), no. 3, 571--596. video
(with M. Maydanskiy)
- Fukaya categories of the torus and Dehn surgery, Proc. Natl. Acad. Sci. USA 108 (2011), no. 20, 8106--8113. video
(with T. Perutz)
- Planar open books with four binding components, Algebraic & Geometric Topology 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, Advances in Mathematics 236 (2013), 1--23.
Corrigendum, Advances in Mathematics 308 (2017), 1340--1345.
(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)
- Heegaard Floer homology of broken fibrations over the circle, Advances in Mathematics 244 (2013), 268--302.
- Wrinkled fibrations on near-symplectic manifolds, Geometry & Topology 13 (2009) no. 1, 277--318.
Past teaching:
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.
Software:
I am a supporter of free software. 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, which protects my network.