Khan, Adeel Ahmad
Associate Research Fellow
Research Fields: Algebraic Geometry, Cohomology,
I am interested in cohomological and sheaf-theoretic methods in geometry, these days particularly for moduli spaces and stacks.
- B. Sc., Mathematics University of Maryland, Baltimore County 2006-2011
- M. Sc., Mathematics Freie Universität Berlin 2011 - 2013
- Dr. rer. nat., Mathematics Universität Duisburg-Essen 2013 - 2016
- Wissenschaftlicher Mitarbeiter Universität Regensburg 2016 - 2018
- Akademischer Rat auf Zeit Universität Regensburg 2018 - 2020
- Post-doc IHES 2020 - 2021
- 2023, Academia Sinica Career Development Award
- 2023, TMS Young Mathematicians Prize
- 2022, NCTS Young Theoretical Scientist
- "The cdh-local motivic homotopy category", J. Pure Appl. Algebra, 228 (5 ), 2024
- "Absolute Poincaré duality in étale cohomology", Forum Math. Sigma, 10 (e99 ), 1-10, 2022-11
- (with T. Bachmann, C. Ravi, V. Sosnilo) "Categorical Milnor squares and K-theory of algebraic stacks", Selecta Mathematica, 28 (5), 1-72, 2022-09
- "K-theory and G-theory of derived algebraic stacks", Jpn. J. Math, 17, 1-61, 2022
- (with E. Elmanto, M. Hoyois, V. Sosnilo, M. Yakerson) "Motivic infinite loop spaces", Camb. J. Math., 9 (2), 431-549, 2021
- (with D. Rydh) "Virtual Cartier divisors and blow-ups", arXiv:1802.05702, 2021
- "Virtual fundamental classes of derived stacks I", arXiv:1909.01332, 2021
- "Virtual excess intersection theory", Ann. K-Theory, 6, 559-570, 2021
- (with T. Bachmann, E. Elmanto, M. Hoyois, V. Sosnilo, M. Yakerson) "On the infinite loop spaces of algebraic cobordism and the motivic sphere", Épijournal Géom. Algébrique, 5, 0-, 2021
- (with F. Déglise, J. Fasel, F. Jin) "On the rational motivic homotopy category", J. Éc. Polytech., 8, 533-583, 2021
- (with F. Deglise, F. Jin) "Fundamental classes in motivic homotopy theory", JEMS, 23 (12), 3935-3993, 2021
- (with E. Elmanto, M. Hoyois, V. Sosnilo, M. Yakerson) "Framed transfers and motivic fundamental classes", J. Topol., 13 (2), 460-500, 2020
- "Descent by quasi-smooth blow-ups in algebraic K-theory", Annales Henri Lebesgue, 2020 (3), 1091-1116, 2020
- (with E. Elmanto) "Perfection in motivic homotopy theory", Proc. Lond. Math. Soc., 2020
- (with E. Elmanto, M. Hoyois, V. Sosnilo, M. Yakerson) "Modules over the algebraic cobordism spectrum", Forum Math. Pi, 120 (1), 28-38, 2020
- "The Morel–Voevodsky localization theorem in spectral algebraic geometry", Geometry & Topology, 23 (7), 3647-3685, 2019