Wiesława Nizioł

Wiesława Krystyna Nizioł (pronounced ['viɛswava 'krɨstɨna 'niziɔw]) is a Polish mathematician, director of research at CNRS, based at École normale supérieure de Lyon.[1] Her research concerns arithmetic geometry, and in particular p-adic Hodge theory, Galois representations, and p-adic cohomology.

Education and career

Nizioł earned an M.S. in computer science from the University of Warsaw in 1984. She was employed as an assistant professor at the University of Warsaw from 1984 to 1988.

After beginning doctoral studies in computer science at Stanford University, she switched to mathematics,[2] and received her Ph.D. in 1991 from Princeton University under the supervision of Gerd Faltings.[3]

Thereafter she held temporary positions at Harvard University, the University of Chicago and University of Minnesota before joining the University of Utah in 1996. More recently, she has spent time at the Institute for Advanced Study[4] in 2010 as a visitor and in 2017 as a member as well as at the Mathematical Sciences Research Institute[5] in 2014 and 2018 as part of programs on perfectoid spaces and the homological conjectures, respectively.

As of 2015 she was directrice de recherches at CNRS, based at École normale supérieure de Lyon.[1]

Mathematical work

She studies the cohomology of -adic varieties. Her contributions include:

  • Comparison theorems, via motivic methods, between de Rham and -adic étale cohomologies of algebraic varieties over -adic fields (proofs[6] · [7] of the conjectures and of Fontaine).
  • A definition[8] · ,[9] for -adic algebraic varieties, of a -adic analog (the syntomic cohomology) of the classical Deligne cohomology for algebraic varieties over the real numbers.
  • A comparison theorem,[10] via syntomic methods, for -adic analytic varieties, and the computation[11] · [12] of the -adic étale cohomology of various -adic symmetric spaces with applications to the -adic local Langlands correspondence.

Recognition

She was an Invited Speaker at the 2006 International Congress of Mathematicians, with a talk entitled "p-adic motivic cohomology in arithmetic".[13]

References
  1. Membres de l'UMPA, ENS Lyon, retrieved 2015-07-31.
  2. Curriculum vitae, retrieved 2015-07-31.
  3. Wiesława Nizioł at the Mathematics Genealogy Project
  4. "Wieslawa Niziol". IAS. Institute for Advanced Study. Retrieved 31 August 2018.
  5. "Personal Profile of Ms. Wieslawa Niziol". Mathematical Sciences Research Institute. Mathematical Sciences Research Institute. Retrieved 31 August 2018.
  6. Crystalline Conjecture via K-theory, Ann. Sci. École Norm. Sup. 31 (1998), 659–681.
  7. Semistable Conjecture via K-theory, Duke Math. J. 141 (2008), 151–178.
  8. Syntomic cohomology and regulators for varieties over -adic fields, Algebra Number Theory 10 (2016), 1695–1790 (with Jan Nekovář).
  9. On p-adic absolute Hodge cohomology and syntomic coefficients, I, Comment. Math. Helv. 93 (2018), 71-131 (with Frédéric Déglise).
  10. -adic vanishing cycles and syntomic cohomology, Invent. math. 208 (2017), 1-108 (with Pierre Colmez).
  11. Cohomologie -adique de la tour de Drinfeld, le cas de la dimension 1, arXiv:1704.08928 [math.NT] (with Pierre Colmez and Gabriel Dospinescu).
  12. Cohomology of -adic Stein spaces, arXiv:1801.06686 [math.NT] (with Pierre Colmez and Gabriel Dospinescu).
  13. ICM 2006, retrieved 2015-07-31.
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