Assistant Research Fellow |   Khan, Adeel Ahmad
Contact Information
  • adeelkhan$\color{red}{@}$gate.sinica.edu.tw
  • +886 2 2368-5999 ext. 634
  • +886 2 2368-9771
Research Interests
  • Algebraic Geometry
  • Symplectic Geometry
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)

Work Experience
  • Visitor Isaac Newton Institute, Cambridge 2020/3
  • Post-doc IHES 2020 - 2021
  • Summer collaborators program IAS 2019/7
  • Visitor Freiburg Institute for Advanced Studies 2018/2
  • Akademischer Rat auf Zeit Universität Regensburg 2018 - 2020
  • Post-doc MPIM Bonn 2017/7 - 2017/9
  • Post-doc Institut Mittag–Leffler, Stockholm 2017/1 - 2017/4
  • Wissenschaftlicher Mitarbeiter Universität Regensburg 2016 - 2018

Research Descriptions

My current research interests are in algebraic geometry and symplectic geometry.  Specifically, I am thinking about foundational questions related to homological mirror symmetry.  Previously I have worked on motivic cohomology, K-theory, and cobordism of algebraic varieties and stacks.


Selected Publications
  1. "Virtual excess intersection theory" , Ann. K-Theory , 2021. (https://arxiv.org/abs/1909.13829)
  2. (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 , 2021. (https://arxiv.org/abs/1911.02262)
  3. (with F. Déglise, J. Fasel, F. Jin) "On the rational motivic homotopy category" , J. Éc. Polytech. , 8, 2021. (https://arxiv.org/abs/2005.10147)
  4. (with F. Deglise, F. Jin) "Fundamental classes in motivic homotopy theory" , JEMS , 2021. (https://arxiv.org/abs/1805.05920)
  5. (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)
  6. "Descent by quasi-smooth blow-ups in algebraic K-theory" , Annales Henri Lebesgue , 2020 (3), 1091-1116, 2020. (https://arxiv.org/abs/1810.12858)
  7. (with E. Elmanto) "Perfection in motivic homotopy theory" , Proc. Lond. Math. Soc. , 2020. (https://arxiv.org/abs/1812.07506)
  8. (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)
  9. "The Morel–Voevodsky localization theorem in spectral algebraic geometry" , Geometry & Topology , 23 (7), 3647-3685, 2019.