Adeel A. Khan

Preprints & publications

The stacky concentration theorem With D. Aranha, A. Latyntsev, H. Park, C. Ravi. Split off from “Localization theorems for algebraic stacks” (2022).	arXiv
Virtual localization revisited With D. Aranha, A. Latyntsev, H. Park, C. Ravi. Split off from “Localization theorems for algebraic stacks” (2022).	arXiv
Modularity of higher theta series II: Chow group of the generic fiber With T. Feng. March 2024.	arXiv
3d cohomological Hall algebras for local surfaces With T. Kinjo. Preliminary version, November 2023.
The derived homogeneous Fourier transform October 2023. Now subsumed into the modularity paper with Feng.	arXiv
Lectures on algebraic stacks Revised version of these lecture notes. October 2023.	arXiv
Dimensional classicality criterion for derived stacks Appendix to Beijing notes on the categorical local Langlands conjecture by David Hansen. July 2023.	arXiv
Cohomological and categorical concentration With C. Ravi. August 2023.	arXiv
The lattice property for perfect complexes on singular stacks July 2023.	arXiv
Weaves Very preliminary version, June 2023.
Equivariant generalized cohomology via stacks With C. Ravi. 2022, minor revision Nov. 2024.	arXiv
Localization theorems for algebraic stacks With D. Aranha, A. Latyntsev, H. Park, C. Ravi. 2022. This has been split into “Virtual localization revisited”, “The stacky concentration theorem”, and a forthcoming paper on cosection localization.	arXiv
Absolute Poincaré duality in étale cohomology Forum Math. Sigma 10 (2022), paper no. e99, 10 p.	zbMATH
Generalized cohomology theories for algebraic stacks With C. Ravi. Adv. Math. 458 (2024), article no. 109975, 104 p.	arXiv DOI
Voevodsky's criterion for constructible categories of coefficients 2021, minor revisions 2023-03-17. To be subsumed by Topological weaves soon.
K-theory and G-theory of derived algebraic stacks Jpn. J. Math. 17 (2022), no. 1, 1–61.	zbMATH
Categorical Milnor squares and K-theory of algebraic stacks With T. Bachmann, C. Ravi, V. Sosnilo. Sel. Math. 28 (2022), no. 5, paper no. 85, 72 p.	zbMATH
A¹-homotopy invariance in spectral algebraic geometry With D.-C. Cisinski, revised 2020.	arXiv
The cdh-local motivic homotopy category J. Pure Appl. Algebra 228 (2024), no. 5, 107562.	arXiv DOI
On the rational motivic homotopy category With F. Déglise, J. Fasel, F. Jin. J. Éc. Polytech., Math. 8 (2021), 533–583.	zbMATH
On the infinite loop spaces of algebraic cobordism and the motivic sphere With T. Bachmann, E. Elmanto, M. Hoyois, V. Sosnilo, M. Yakerson. Épijournal de Géom. Algébr., EPIGA 5 (2021), paper no. 9, 13 p.	zbMATH
Virtual excess intersection theory Ann. K-Theory 6 (2021), no. 3, 559–570.	zbMATH
Virtual fundamental classes of derived stacks I Preliminary version, 2019. To be updated soon.	arXiv
Modules over algebraic cobordism With E. Elmanto, M. Hoyois, V. Sosnilo, M. Yakerson. Forum Math. Pi 8 (2020), paper no. e14, 44 p.	zbMATH
Perfection in motivic homotopy theory With E. Elmanto. Proc. Lond. Math. Soc. 120 (2020), no. 1, 28–38.	zbMATH
Algebraic K-theory of quasi-smooth blow-ups and cdh descent Ann. Henri Lebesgue 3 (2020), 1091–1116.	zbMATH
Framed transfers and motivic fundamental classes With E. Elmanto, M. Hoyois, V. Sosnilo, M. Yakerson. J. Topol. 13 (2020), 460–500.	zbMATH
Fundamental classes in motivic homotopy theory With F. Déglise, F. Jin. J. Eur. Math. Soc. 23 (2021), no. 12, 3935–3993.	zbMATH
Virtual Cartier divisors and blow-ups With D. Rydh, 2018.	arXiv
Motivic infinite loop spaces With E. Elmanto, M. Hoyois, V. Sosnilo, M. Yakerson. Camb. J. Math. 9 (2021), no. 2, 431–549.	zbMATH
The Morel–Voevodsky localization theorem in spectral algebraic geometry Geom. Topol. 23 (2019), no. 7, 3647–3685.	zbMATH
Motivic homotopy theory in derived algebraic geometry Ph.D. thesis, Universität Duisburg–Essen (2016).

Reports

Derived differential geometry and virtual fundamental classes OCAMI Reports, Vol. 6 (2022).	DOI
Algebraic cobordism, Hilbert schemes, and derived algebraic geometry 2019 IAS Summer Collaborators report.