Wiesława Nizioł


Directrice de recherche, CNRS

Sorbonne Université
IMJ-PRG, équipe de théorie des nombres
4, place Jussieu, F-75005 PARIS 05
France

EMAIL: wieslawa.niziol [a] imj-prg.fr
Member of Simons Collaboration on Perfection
in Algebra, Geometry, and Topology
(2023-2027).

Research Interests
Arithmetic algebraic geometry: p-adic Hodge theory, Galois representations, p-adic cohomology.
Curriculum Vitae

Editorship
Bulletin Polish Acad. Sci. Math., a mathematical journal of the Polish Academy of Sciences, devoted to concise papers.
I encourage you to submit your number theory and algebraic geometry papers to this journal !

Papers

[38] Hodge Theory of p-adic analytic varieties: a survey, (with Pierre Colmez), preprint, 26 pages, version January 2026.
[37] Une conjecture Cst pour la cohomologie à support compact, (with Pierre Colmez, Sally Gilles), preprint, 8 pages, version November 2025.
[36] Topological Vector Spaces, (with Pierre Colmez), preprint, 32 pages, version September 2025.
[35] Compactly supported p-adic pro-étale cohomology of analytic varieties, (with Piotr Achinger, Sally Gilles), preprint, 61 pages, version January 2025.
[34] Duality for p-adic geometric pro-étale cohomology, (with Pierre Colmez, Sally Gilles), preprint, 43 pages, version October 2025.
[33] Arithmetic duality for p-adic pro-étale cohomology of analytic curves, (with Pierre Colmez, Sally Gilles), preprint, 64 pages, version August 2023.
[32] On syntomic regulators I: constructions, preprint, 60 pages, June 2016.
[31] On the cohomology of p-adic analytic spaces, II: The Cst-conjecture, (with Pierre Colmez), Duke Math. J. 174 (2025), no.11, 2203--2301.
[30] On the geometrization of the p-adic local Langlands correspondence, (with Pierre Colmez, Gabriel Dospinescu), Proc. ICBS2024, vol. 1, p. 92--102, International Press, 2025.
[29] On the cohomology of p-adic analytic spaces, I: The basic comparison theorem, (with Pierre Colmez), Journal of Algebraic Geometry 34 (2025), 1-108.
[28] On the v-Picard group of Stein spaces, (with Veronika Ertl, Sally Gilles), Int. Math. Res. Not. IMRN (2024), no. 20, 13352--13379.
[27] Correspondance de Langlands locale p-adique et anneaux de Kisin, (with Pierre Colmez, Gabriel Dospinescu), Acta Arithmetica 208 (2023), 101-126.
[26] Factorisation de la cohomologie étale p-adique de la tour de Drinfeld, (with Pierre Colmez, Gabriel Dospinescu), Forum Math., Pi 11 (2023), e16, 1-62.
[25] Cohomologie des courbes analytiques p-adiques, (with Pierre Colmez, Gabriel Dospinescu), Cambridge Journal of Mathematics, Vol. 10, No. 3 (2022), 511--655.
[24] Hodge Theory of p-adic varieties: a survey, Ann. Polon. Math. 127 (2021), 63-86.
[23] p-adic étale cohomology of period domains (with Pierre Colmez, Gabriel Dospinescu, Julien Hauseux), Math. Ann. 381 (2021), 105-180.
[22] Integral p-adic étale cohomology of Drinfeld symmetric spaces (with Pierre Colmez, Gabriel Dospinescu), Duke Math. J. 170 (2021), no. 3, 575 - 613.
[21] On uniqueness of p-adic period morphisms, II , Compos. Math. 156 (2020), no. 9, 1915-1964.
[20] On p-adic comparison theorems for rigid analytic varieties, I (with Pierre Colmez), Münster J. Math. 13 (2020) (Special Issue: In honor of Ch. Deninger), 445-507.
[19] On the cohomology of the affine space (with Pierre Colmez), p-adic Hodge Theory, Simons Symposia, Springer, 2020, 71-80.
[18] Cohomologie p-adique de la tour de Drinfeld: le cas de la dimension 1 (with Pierre Colmez, Gabriel Dospinescu), J. Amer. Math. Soc. 33 (2020), 311-362.
[17] Cohomology of p-adic Stein spaces (with Pierre Colmez, Gabriel Dospinescu), Invent. Math. 219 (2020), no.3, 873-985.
[16] Geometric syntomic cohomology and vector bundles on the Fargues-Fontaine curve, J. Algebraic Geom. 28 (2019), 605-648.
[15] Syntomic cohomology and p-adic motivic cohomology (with Veronika Ertl), Algebraic Geometry 6 (2019), no. 1, 100-131.
[14] On p-adic absolute Hodge cohomology and syntomic coefficients, I (with Frédéric Déglise), Comment. Math. Helv. 93 (2018), no. 1, 71-131.
[13] Syntomic complexes and p-adic nearby cycles (with Pierre Colmez), Invent. Math. 208 (2017), no.1, 1-108.
[12] Syntomic cohomology and regulators for varieties over p-adic fields (with Jan Nekovář), Algebra Number Theory 10 (2016), no. 8, 1695–1790.
[11] K-theory of log-schemes II: log-syntomic K-theory, Adv. Math 230 (2012), 1646–1672.
[10] On uniqueness of p-adic period morphisms, Pure Appl. Math. Q. 5 (2009), no. 1, (Special Issue: In honor of Jean-Pierre Serre), 163–212.
[9] K-theory of log-schemes I, Doc. Math. 13 (2008), 505–551.
[8] Semistable Conjecture via K-theory, Duke Math. J. 141 (2008), no. 1, 151–178.
[7] p-adic motivic cohomology in arithmetic, International Congress of Mathematicians. Vol. II, 459–472, Eur. Math. Soc., Zürich, 2006.
[6] Toric singularities: log-blow-ups and global resolutions, J. Algebraic Geom. 15 (2006), no. 1, 1–29.
[5] Cohomology of crystalline smooth sheaves, Compositio Math. 129 (2001), no. 2, 123–147.
[4] Crystalline Conjecture via K-theory, Ann. Sci. École Norm. Sup. (4) 31 (1998), no. 5, 659–681.
[3] On the image of p-adic regulators, Invent. Math. 127 (1997), 375–400.
[2] Duality in the cohomology of crystalline local systems, Compositio Math. 109 (1997), no. 1, 67–97.
[1] Cohomology of crystalline representations, Duke Math. J. 71 (1993), no. 3, 747–791.

Announcements

[8] Completed cohomology of the Drinfeld tower for GL2(Qp), Oberwolfach Report 29/2025.
[7] Geometric duality for p-adic pro-étale cohomology of analytic varieties, Oberwolfach Report 45/2024.
[6] Duality for p-adic pro-étale cohomology of analytic varieties, Oberwolfach Report 28/2023.
[5] Duality for the pro-étale p-adic cohomology of analytic varieties, Oberwolfach Report 05/2022.
[4] Cohomology of p-adic analytic spaces, Oberwolfach Report 20/2020.
[3] Cohomology of p-adic Stein spaces, Oberwolfach Report 30/2018.
[2] Cohomologie de la tour de Drinfeld: le cas de dimension 1, Oberwolfach Report 38/2016.
[1] Syntomic complexes and p-adic nearby cycles, Oberwolfach Report 57/2015.

Talks

p-adic motivic cohomology in arithmetic geometry, slides of a talk given at ICM2006, Madrid.
p-adic Hodge Theory: from algebraic to analytic varieties, slides of a talk given at PTM-100, Kraków, 2019.