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Wiesława Nizioł

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

Education and career[edit]

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,^[1] and received her Ph.D. in 1991 from Princeton University under the supervision of Gerd Faltings.^[2]

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^[3] in 2010 as a visitor and in 2017 and 2024 as a member as well as at the Mathematical Sciences Research Institute^[4] in 2014, 2018 and 2023 as part of programs on perfectoid spaces, the homological conjectures and Euler systems, respectively.

She moved to France in 2012 as a directrice de recherches at CNRS, first in École normale supérieure de Lyon and, since 2020 at Institut mathématique de Jussieu in Paris.

Mathematical work[edit]

She studies the cohomology of ${\displaystyle p}$-adic varieties. Her contributions include:

• Comparison theorems, via motivic methods, between de Rham and ${\displaystyle p}$-adic étale cohomologies of algebraic varieties over ${\displaystyle p}$-adic fields (proofs^[5] · ^[6] of the conjectures ${\displaystyle C_{\mathrm {cris} }}$ and ${\displaystyle C_{\mathrm {st} }}$ofFontaine).
• A definition^[7] · ^[8] for ${\displaystyle p}$-adic algebraic varieties, of a ${\displaystyle p}$-adic analog (the syntomic cohomology) of the classical Deligne cohomology for algebraic varieties over the real numbers.
• A comparison theorem,^[9] via syntomic methods, for ${\displaystyle p}$-adic analytic varieties, and the computation^[10] · ^[11] of the ${\displaystyle p}$-adic étale cohomology of various ${\displaystyle p}$-adic symmetric spaces with applications to the ${\displaystyle p}$-adic local Langlands correspondence.

Recognition[edit]

She was an Invited Speaker at the 2006 International Congress of Mathematicians, with a talk entitled "p-adic motivic cohomology in arithmetic".^[12] She was elected a member of Academia Europaea in 2021.^[13]

References[edit]

^ Syntomic cohomology and regulators for varieties over ${\displaystyle p}$-adic fields, Algebra Number Theory 10 (2016), 1695–1790 (with Jan Nekovář).

^ ${\displaystyle p}$-adic vanishing cycles and syntomic cohomology, Invent. math. 208 (2017), 1-108 (with Pierre Colmez).

^ Cohomologie ${\displaystyle p}$-adique de la tour de Drinfeld, le cas de la dimension 1, J. AMS 33 (2020), 311–362 (with Pierre Colmez and Gabriel Dospinescu).

^ Cohomology of ${\displaystyle p}$-adic Stein spaces, Invent. Math. 219 (2020), 873–985 (with Pierre Colmez and Gabriel Dospinescu).

External links[edit]

• Wiesława Nizioł publications indexed by Google Scholar