Fourier--Mukai equivalences for formal groups and elliptic Hochschild homology. Joint With Nicolo Sibilla and Paolo Tomasini.
Topological field theories associated with Calabi-Yau categories. Joint with Tristan Bozec and Damien Calaque
Equivariant elliptic cohomology, toric varieties, and derived equivalences
This is joint with Nicolo Sibilla. To appear in IRMN.
Calabi-Yau structures on (quasi)-bisymplectic algebras
Forum of Mathematics, Sigma, Volume 11 (2023). Joint with Tristan Bozec and Damien Calaque
Calabi-Yau structures for multiplicative preprojective algebras
J. Noncommut. Geom. 17 (2023), no.33, pp. 7839-7810. Joint with Tristan Bozec and Damien Calaque.
Derived Parabolic induction
Bulletin of the London Mathematical Society, Volume 54, Issue 1 (2022), 264-274. Joint with Peter Schneider.
Relative critical loci and quiver moduli
Annales de l'ENS 57 (2024), no.2, 5539-6614. Joint with Tristan Bozec and Damien Calaque.
The categorified Grothendieck-Riemann-Roch theorem
Compositio Mathematica, Volume 157, Issue 1 (2021) 154-214. Joint with Marc Hoyois, Pavel Safronov and Nicolo Sibilla.
On the profinite homotopy type of log schemes
To appear in Advances. Joint with David Carchedi, Nicolo Sibilla and Mattia Talpo
Gluing semi-orthogonal decompositions
Journal of Algebra 559 (2020) 1-32. Joint with Nicolo Sibilla and Mattia Talpo.
Parabolic semi-orthogonal decompositions and Kummer flat invariants of log schemes
Doc. Math. 25, 955-1009 (2020). This is joint with Nicolo Sibilla and Mattia Talpo.
On a logarithmic version of the derived McKay correspondence
Compositio Mathematica, 154(12), 2534-2585. This is joint with Nicolo Sibilla and Mattia Talpo.
Higher traces, noncommutative motives, and the categorified Chern character
Advances in Mathematics 309 (2017), 97-154. This is joint with Marc Hoyois and Nicolo Sibilla.
Kato-Nakayama spaces, infinite root stacks, and the profinite homotopy type of log schemes
Geometry and Topology 21 (2017) 3093-3158. This is joint with David Carchedi, Nicolo Sibilla and Mattia Talpo.
Quiver varieties and Hall algebras
London Math. Soc. (2016) 112 (6), 1002-1018. This is joint with Nicolo Sibilla.
Derived loop stacks and categorification of orbifold products
J. Noncommut. Geom. 13 (2019), 9639-6983. This is joint with Nicolo Sibilla.
Desingularisation of quiver Grassmannians via Nakajima categories
Algebras and Representation Theory 20, 231-243(2017)
Component Cluster for acyclic quiver
Colloquium Mathematicum 144 (2016), 245-264.
Generalized quiver varieties and triangulated categories
Mathematische Zeitschriften (2019), Vol.292,1453-1478
The nonequivariant coherent-constructible correspondence and tilting
Selecta Mathematica (NS) (2016), Vol.22, Issue 1,38-416. This is joint with Nicolo Sibilla
Desingularizations of quiver Grassmannians via graded quiver varieties
Advances in Mathematics 256 (2014) 318-347. This is joint with Bernhard Keller.
Graded quiver varieties and derived categories
J. reine angew. Math.(Crelles Journal) 2016 (713). This is joint with Bernhard Keller.
Linear recurrence relations for cluster variables of affine quivers
Advances in Mathematics 228 (2011) 1842-1862. This is joint with Bernhard Keller.
The integral Cluster Category
Int Math Res Notices Vol. 2012, No.12, 2867-2887. This is joint with Bernhard Keller.
Rank Varieties for Hopf Algebras
Journal of Pure Applied Algebra 215 (2011), no.5, 829 to 838.This is joint with Matthew Towers.
Finite and bounded Auslander-Reiten Components in the Derived Category
Journal of Pure Applied Algebra 215 (2011), no.3, 232-241.
Euclidean components for a class of self-injective algebras
Colloquium Mathematicum 115 (2009), no. 2, 219 to 245.
Classification of pointed rank one Hopf algebras
Journal of Algebra 319 (2008) 2889 to 2912.
Formulas for primitive Idempotents in Frobenius Algebras and an Application to Decomposition maps Representation Theory 12 (2008), 170 to 185. This is joint with Max Neunhoeffer.