View source for Wiesława Nizioł

{{Short description|Polish mathematician}}
{{Use dmy dates|date=September 2023}}
{{Infobox  scientist
| name               = Wiesława Krystyna Nizioł
|birth_name = 
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|death_date = 
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| nationality        = Polish
| alma_mater        =University of Warsaw<br />Princeton University
| fields       = 
|workplaces         =University of Utah
}}

'''Wiesława Krystyna Nizioł''' (pronounced {{IPAc-pl|'v|i|ɛ|s|ł|a|v|a|-|'k|r|ɨ|s|t|ɨ|n|a|-|'n|i|z|i|ɔ|ł|}}) is a Polish mathematician, director of research at [[Centre national de la recherche scientifique|CNRS]], based at Institut mathématique de Jussieu. Her research concerns [[arithmetic geometry]], and in particular [[p-adic Hodge theory|''p''-adic Hodge theory]], [[Galois representation]]s, and [[p-adic cohomology|''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]] under the supervision of [[Andrew Yao]], she followed him to Princeton University, but she switched to mathematics,<ref name="cv">[https://webusers.imj-prg.fr/~wieslawa.niziol/cv.pdf Wiesława Nizioł Curriculum Vitae] imj-prg.fr</ref> and received her Ph.D. in 1991 from [[Princeton University]] under the supervision of [[Gerd Faltings]].<ref>{{mathgenealogy|id=18877}}</ref>

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]]<ref>{{cite web |title=Wieslawa Niziol |url=https://www.ias.edu/scholars/wieslawa-niziol |website=IAS |publisher=Institute for Advanced Study |accessdate=31 August 2018}}</ref> in 2010 as a visitor and in 2017 and 2024 as a member as well as at the [[Mathematical Sciences Research Institute]]<ref>{{cite web |title=Personal Profile of Ms. Wieslawa Niziol |url=https://www.msri.org/people/16704 |website=Mathematical Sciences Research Institute |accessdate=31 August 2018}}</ref> in 2014, 2018 and 2023 as part of programs on [[perfectoid space|perfectoid spaces]], the [[Homological conjectures in commutative algebra|homological conjectures]] and [[Euler system|Euler systems]], respectively.

She moved to France in 2012 as a directrice de recherches at [[Centre national de la recherche scientifique|CNRS]], first in [[École normale supérieure de Lyon]] and, since 2020 at Institut mathématique de Jussieu in Paris.

==Mathematical work==
She studies the cohomology of <math>p</math>-adic varieties. Her contributions include:
* Comparison theorems, via motivic methods, between [[de Rham cohomology|de Rham]] and <math>p</math>-adic [[Étale cohomology|étale]] cohomologies of algebraic varieties over <math>p</math>-adic fields (proofs<ref>Crystalline Conjecture via K-theory, Ann. Sci. École Norm. Sup. 31 (1998), 659–681.</ref><ref>Semistable Conjecture via K-theory, Duke Math. J. 141 (2008), 151–178.</ref> of the conjectures <math>C_{\mathrm{cris}}</math> and <math>C_{\mathrm{st}}</math> of [[Jean-Marc Fontaine|Fontaine]]).
* A definition<ref>Syntomic cohomology and regulators for varieties over <math>p</math>-adic fields, Algebra Number Theory 10 (2016), 1695–1790 (with Jan Nekovář).</ref><ref>On p-adic absolute Hodge cohomology and syntomic coefficients, I, [[Comment. Math. Helv.]] 93 (2018), 71-131 (with Frédéric Déglise).</ref> for <math>p</math>-adic algebraic varieties, of a <math>p</math>-adic analog (the syntomic cohomology) of the classical [[Deligne cohomology]] for algebraic varieties over the real numbers.
* A comparison theorem,<ref><math>p</math>-adic vanishing cycles and syntomic cohomology, Invent. math. 208 (2017), 1-108 (with [[Pierre Colmez]]).</ref> via [[syntomic topology|syntomic methods]], for <math>p</math>-adic analytic varieties, and the computation<ref>Cohomologie <math>p</math>-adique de la tour de Drinfeld, le cas de la dimension 1, J. AMS 33 (2020), 311–362 (with [[Pierre Colmez]] and Gabriel Dospinescu).</ref><ref>Cohomology of <math>p</math>-adic Stein spaces, Invent. Math. 219 (2020), 873–985 (with [[Pierre Colmez]] and Gabriel Dospinescu).</ref> of the <math>p</math>-adic étale cohomology of various <math>p</math>-adic symmetric spaces with applications to the <math>p</math>-adic local [[Langlands program|Langlands correspondence]].

==Recognition==
She was an [[Invited speaker at the International Congress of Mathematicians|Invited Speaker]] at the 2006 [[International Congress of Mathematicians]], with a talk entitled "''p''-adic motivic cohomology in arithmetic".<ref>[http://www.icm2006.org/proceedings/Vol_II/contents/ICM_Vol_2_20.pdf ICM 2006], retrieved 2015-07-31.</ref>
She was elected a member of [[Academia Europaea]] in 2021,<ref>[https://www.ae-info.org/ae/Member/Niziol_Wieslawa Member profile, Academia Europaea], retrieved 2022-02-06</ref> and as a [[Fellow of the American Mathematical Society]], in the 2025 class of fellows.<ref>{{cite web|url=https://www.ams.org/fellows_by_year.cgi?year=2025|title=2025 Class of Fellows of the AMS|publisher=American Mathematical Society|access-date=2024-11-01}}</ref>

==References==
{{reflist}}

==External links==
*{{google scholar id|Qh8XakYAAAAJ}}

{{Authority control}}

{{DEFAULTSORT:Niziol, Wieslawa}}
[[Category:Year of birth missing (living people)]]
[[Category:Living people]]
[[Category:Polish women mathematicians]]
[[Category:20th-century Polish mathematicians]]
[[Category:21st-century Polish mathematicians]]
[[Category:University of Warsaw alumni]]
[[Category:Princeton University alumni]]
[[Category:University of Utah faculty]]
[[Category:Institute for Advanced Study visiting scholars]]
[[Category:Arithmetic geometers]]
[[Category:Research directors of the French National Centre for Scientific Research]]
[[Category:Fellows of the American Mathematical Society]]