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Academia Sinica
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Associate Research Fellow |   Khan, Adeel Ahmad
Contact Information
  • adeelkhan$\color{red}{@}$gate.sinica.edu.tw
  • +886 2 2368-5999 ext. 735
  • +886 2 2368-9771
Research Interests
  • Algebraic Geometry
  • Cohomology
Education
  • Dr. rer. nat., Mathematics Universität Duisburg-Essen (2013 - 2016)
  • M. Sc., Mathematics Freie Universität Berlin (2011 - 2013)
  • Exchange student Independent University of Moscow (2009 - 2010)
  • B. Sc., Mathematics University of Maryland (2006-2011)
Links
Work Experience
  • Post-doc IHES 2020 - 2021
  • Akademischer Rat auf Zeit Universität Regensburg 2018 - 2020
  • Wissenschaftlicher Mitarbeiter Universität Regensburg 2016 - 2018
Awards
  • NCTS Young Theoretical Scientist 2022, 2022-03
Research Descriptions

I am interested in cohomological and sheaf-theoretic methods in geometry, these days particularly for moduli spaces and stacks.

Selected Publications
  1. "Absolute Poincaré duality in étale cohomology" , Forum Math. Sigma , 10 (e99), 1-10, 2022-11.
  2. (with T. Bachmann, C. Ravi, V. Sosnilo) "Categorical Milnor squares and K-theory of algebraic stacks" , Selecta Mathematica , 28 (5), 1-72, 2022-09.
  3. (with C. Ravi) "Equivariant generalized cohomology via stacks" , arXiv , 2022. (https://arxiv.org/abs/2209.07801)
  4. (with D. Aranha, A. Latyntsev, H. Park, C. Ravi) "Localization theorems for algebraic stacks" , arXiv , 2022. (https://arxiv.org/abs/2207.01652)
  5. "K-theory and G-theory of derived algebraic stacks" , Jpn. J. Math , 17, 1-61, 2022.
  6. (with C. Ravi) "Generalized cohomology theories for algebraic stacks" , arXiv:2106.15001 , 2021. (https://arxiv.org/abs/2106.15001)
  7. (with E. Elmanto, M. Hoyois, V. Sosnilo, M. Yakerson) "Motivic infinite loop spaces" , Camb. J. Math. , 9 (2), 431-549, 2021. (https://arxiv.org/abs/1711.05248)
  8. "Virtual excess intersection theory" , Ann. K-Theory , 6, 559-570, 2021. (https://arxiv.org/abs/1909.13829)
  9. (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, epiga:7494-, 2021. (https://arxiv.org/abs/1911.02262)
  10. (with F. Déglise, J. Fasel, F. Jin) "On the rational motivic homotopy category" , J. Éc. Polytech. , 8, 533-583, 2021. (https://arxiv.org/abs/2005.10147)
  11. (with F. Deglise, F. Jin) "Fundamental classes in motivic homotopy theory" , JEMS , 23 (12), 3935-3993, 2021. (https://arxiv.org/abs/1805.05920)
  12. (with E. Elmanto, M. Hoyois, V. Sosnilo, M. Yakerson) "Framed transfers and motivic fundamental classes" , J. Topol. , 13 (2), 460-500, 2020. (https://arxiv.org/abs/1809.10666)
  13. "Descent by quasi-smooth blow-ups in algebraic K-theory" , Annales Henri Lebesgue , 2020 (3), 1091-1116, 2020. (https://arxiv.org/abs/1810.12858)
  14. (with E. Elmanto) "Perfection in motivic homotopy theory" , Proc. Lond. Math. Soc. , 2020. (https://arxiv.org/abs/1812.07506)
  15. (with E. Elmanto, M. Hoyois, V. Sosnilo, M. Yakerson) "Modules over the algebraic cobordism spectrum" , Forum Math. Pi , 120 (1), 28-38, 2020. (https://arxiv.org/abs/1908.02162)
  16. "The Morel–Voevodsky localization theorem in spectral algebraic geometry" , Geometry & Topology , 23 (7), 3647-3685, 2019.
Director & Deputy Director