Articles: ( Citations )

1. Deformations of Kalck-Karmazyn algebras via Mirror Symmetry, preprint (2024)
   (with J. Tevelev)
   
   
2. Homological mirror symmetry for Rabinowitz Fukaya categories of Milnor fibers of Brieskorn-Pham singularities, preprint (2024)
   (with K. Ueda)
   
   
3. Noncommutative crepant resolutions of \(cA_n\) singularities via Fukaya categories, preprint (2023)
   (with J. Evans)
   
   
4. Equivariant Fukaya categories at singular values, preprint (2023) slides video
   (with E. Segal)
   
   
5. On homological mirror symmetry for the complement of a smooth ample divisor in a K3 surface, Kyoto J. Math. 64(2): 557-564 (2024)
   (with K. Ueda)
   
   
6. Homological mirror symmetry for symmetric squares of punctured spheres, Advances in Mathematics 418 (2023), 63 pp.
   (with A. Polishchuk)
   
   
7. Symplectic cohomology of compound Du Val singularities, Annales Henri Lebesgue, Volume 6 (2023), pp. 727--765. slides
   (with J. Evans)
   
   
8. A symplectic look at the Fargues-Fontaine curve, Forum of Math., Sigma (2022), vol 10:e16 1--40. video
   (with D. Treumann)
   
   
9. Homological mirror symmetry for Milnor fibers of simple singularities Algebraic Geometry 8 (5) (2021) 562--586 slides
   (with K. Ueda)
   
   
10. The symplectic geometry of higher Auslander algebras: symmetric products of disks, Forum of Math. Sigma (2021) volume 9:e10 1--49. video (by Dyckerhoff)
    (with T. Dyckerhoff and G. Jasso)
    
    
11. Homological mirror symmetry for higher dimensional pairs of pants, Compositio Mathematica (2020), 1310--1347.
    (with A. Polishchuk)
    
    
12. Homological mirror symmetry for Milnor fibers via moduli of \(A_\infty\)-structures, Journal of Topology, 15:1058-1106 (2022) video
    (with K. Ueda)
    
    
13. Derived equivalences of gentle algebras via Fukaya categories, Mathematische Annalen (2020), 187--225. video0 , video1 , video2
    (with A. Polishchuk)
    
    
14. Embedding all contact 3-manifolds in a fixed contact 5-manifold, Journal of the London Mathematical Society (2019), vol. 99, 52--68.
    (with J. Etnyre)
    
    
15. Auslander orders over nodal stacky curves and partially wrapped Fukaya categories, Journal of Topology 11 (2018), no. 3, 615--644. video
    (with A. Polishchuk)
    
    
16. Fukaya categories of plumbings and multiplicative preprojective algebras, Quantum Topol. 10 (2019), 777--813 video
    (with T. Etgü)
    
    
17. Duality between Lagrangian and Legendrian invariants, Geometry & Topology 27 (2023), 2049--2179
    (with T. Ekholm)
    
    
18. Associative Yang-Baxter equation and Fukaya categories of square-tiled surfaces, Advances in Mathematics (2019), vol. 343, 273--315.
    (with A. Polishchuk)
    
    
19. Arithmetic mirror symmetry for genus 1 curves with \(n\) marked points, Selecta Mathematica (2017), 1851--1907.
    (with A. Polishchuk)
    
    
20. Generating the Fukaya categories of Hamiltonian G-manifolds, Journal of the American Mathematical Society (2019), no. 1, 119--162. video
    (with J. Evans)
    
    
21. Koszul duality patterns in Floer theory, Geometry & Topology 21 (2017) 3313--3389
    (with T. Etgü)
    
    
22. A modular compactification of \(\mathcal{M}_{1,n}\) from \(A_\infty\)-structures, 45 pp., J. Reine Angew. Math. (Crelle) (2017)
    (with A. Polishchuk)
    
    
23. Floer cohomology of the Chiang Lagrangian, Selecta Mathematica 21 (2015), no. 4, 1361--1404.
    (with J. Evans)
    
    
24. Floer cohomology of \(\mathfrak{g}\)-equivariant Lagrangian branes, Compositio Mathematica 152 (2015), 1071--1110.
    (with J.Pascaleff)
    
    
25. Arithmetic mirror symmetry for the 2-torus, 112 pp., preprint (2012) video
    (with T. Perutz)
    
    
26. The symplectic topology of some rational homology balls, Commentarii Mathematics Helvetici 89 (2014), no. 3, 571--596. video
    (with M. Maydanskiy)
    
    
27. Fukaya categories of the torus and Dehn surgery, Proc. Natl. Acad. Sci. USA 108 (2011), no. 20, 8106--8113. video
    (with T. Perutz)
    
    
28. Planar open books with four binding components, Algebraic & Geometric Topology 11 (2011), no. 2, 909--928.
    
    
29. Milnor fillable contact structures are universally tight, Math. Res. Lett. 17 (2010), no. 6, 1055--1063.
    (with B. Ozbagci)
    
    
30. Geometric composition in quilted Floer theory, Advances in Mathematics 236 (2013), 1--23.
    
    Corrigendum, Advances in Mathematics 308 (2017), 1340--1345.
    (with M. Lipyanskiy)
    
    
31. Examples of planar tight contact structures with support norm one, Int. Math. Res. Not. 2010, no. 19, 3723--3728.
    (with T. Etgü)
    
    
32. Heegaard Floer homology of broken fibrations over the circle, Advances in Mathematics 244 (2013), 268--302.
    
    
33. Wrinkled fibrations on near-symplectic manifolds, Geometry & Topology 13 (2009) no. 1, 277--318.