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Publications, Preprints & Notes

  1. Resolutions in Model Categories (in progress)
  2. Intersection Theory of Proper Morphisms (in preparation)
  3. Embeddings of Certain Exceptional Shimura Varieties into Siegel Modular Varieties, joint with Ali Partofard (submitted)
  4. Deformations of Prismatic Higher $(G,\mu)$-Displays over Quasi-Syntomic Rings, joint with Ali Partofard (submitted)
  5. On Certain Morphisms between Flag Varieties (preprint)
  6. Drinfeld Displays (preprint)
  7. Tensor Operations on Group Schemes (preprint)
  8. $(G,\mu)$-Windows and Deformations of $(G,\mu)$-Displays, joint with Oliver Bültel (submitted)
  9. Explicit Isomorphism between Cartier and Dieudonné Modules (Journal of Algebra 570, 2021, pp. 611-63)
  10. A Cartesian Diagram of Rapoport-Zink Towers over Universal Covers of $p$-Divisible Groups (Communications in Number Theory and Physics, 14, 4, 2020, pp.699-737)
  11. Tensor Operations on $z$-Divisible Local Anderson Modules (Journal of Number Theory 213, 2020, pp.116-151)
  12. Exterior Powers of Lubin-Tate Groups (Journal de Théorie des Nombres Bordeaux 27, 1, 2015, pp.77-148)
  13. Exterior Powers of $\pi$-Divisible Modules over Fields (Journal of Number Theory 138, 2014, pp.119-174)
  14. Homotopy Theory (notes)
  15. Visiting Alexander Grothendieck (notes)

Courses, Seminars & Programs


  • AAG — my website for activities, courses, seminars, and all things Algebraic Geometry and Number Theory at IPM
  • Current Activities — what's happening now: courses, seminars, and events
  • Decoding Dimensions — a longterm extensive educational program in Algebraic Geometry & Number Theory at IPM



Coordinates
School of Mathematics
Institute for Research in Fundamental Sciences
Niavaran Sq., Tehran, Iran

Office: C12
Phone: +98 21 2310 2206
Email: Screen Shot 2020-03-24 at 15.22.10

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Hadi-website-photo

I'm associate professor of mathematics at the Institute for Research in Fundamental Sciences.

My research is in Arithmetic Algebraic Geometry, centered on the Langlands Program, with a focus on the local and integral theory: moduli of $p$-divisible groups and mixed-characteristic shtukas, Rapoport-Zink spaces and local Shimura varieties, studied via perfectoid geometry and prismatic cohomology. A parallel interest lies in the arithmetic of function fields, where analogous structures arise in equal characteristic. More recently, I have also become interested in K-theory and motivic homotopy theory.

For more details, please see my Curriculum Vitae.
© 2026 Mohammad Hadi Hedayatzadeh