The pdf files below are
preprint (e.g. archive) versions of the published articles.
In particular, the formats are
different and there may be small
differences in the content.
On local properties of non-Archimedean
spaces
PDF (286 KB)
Math. Ann. 318 (2000), 585-607.
On local properties of
non-Archimedean spaces II
PDF (278 KB)
Isr. J. of Math. 140 (2004), 1-27.
A new proof of the
Gerritzen-Grauert theorem
PDF (176 KB)
Math. Ann. 333 (2005), 261-269.
Desingularization of
quasi-excellent schemes of characteristic zero PDF (425 KB)
Adv. Math. 219 (2008), 488-522.
Non-Archimedean
analytification of algebraic spaces PDF
(528 KB)
joint work with B. Conrad, J. Alg. Geom. 18 (2009), 731-788.
Power series over
generalized Krull domains PDF (131
KB)
joint work with E. Paran, J. of Algebra 323
(2010), 546-550.
Stable modification of
relative curves
PDF
(650 KB)
J. Alg. Geom. 19 (2010), 603-677.
Q-universal
desingularization
PDF
(311 KB)
joint work with E. Bierstone and P.
Milman,
Asian J. of Math. 15 (2011),
229-250.
Riemann-Zariski
spaces
PDF (483 KB)
Isr. J. of Math. 185 (2011), 1-42.
Absolute
desingularization in characteristic zero PDF
(304 KB)
Motivic
integration and its interactions with model theory
and
non-Archimedean geometry. Volume II, London
Math. Soc.
Lecture Note Ser., 384
(2011), 213-250.
Functorial
desingularization of quasi-excellent schemes
in characteristic zero: the non-embedded case PDF
(394 KB)
Duke Journal of Mathematics 161 (2012), 2208-2254.
Inseparable local
uniformization
PDF
(721 KB)
Journal of Algebra 373 (2013), 65-119 .
Berkovich spaces and
tubular descent
PDF (261
KB)
joint work with O. Ben-Bassat, Adv. in
Math. 234 (2013), 217-238.
Introduction to
Berkovich analytic spaces
PDF
(495 KB)
first chapter in Lecture Notes in Mathematics 2119, 3-66.
Morphisms of Berkovich
curves and the different function PDF
(652KB)
joint work with A. Cohen and D. Trushin,
Adv.Math. . 303 (2016), 800-858.
Metrization of
differential pluriforms on Berkovich analytic spaces PDF
(821KB)
Nonarchimedean and Tropical Geometry, Simons Symposia,
Springer, 2016, 195–285.
Ferrand's pushouts of
algebraic spaces
PDF (318
KB)
joint work with I. Tyomkin,
European J. of Math. 2 (2016), 960-983.
Prufer algebraic
spaces
PDF
(385 KB)
joint work with I. Tyomkin,
Math. Z. 285 (2017), 1283-1318.
Torifications of
diagonalizable group actions on toroidal schemes PDF (644
KB)
joint work with D. Abramovich,
Journal of Algebra 472
(2017), 279-338 .
Tame distillation and
desingularization by p-alterations PDF (345KB)
Ann. of Math. 186 (2017), 97-126.
Metric uniformization of
morphisms between Berkovich curves
PDF
(384KB)
Adv. Math. 317 (2017), 438-472.
Wild coverings of
Berkovich curves
PDF
(149 KB)
Publications Mathématiques de
Besançon 2017, 127–135.
Altered local
uniformization of Berkovich spaces PDF (230
KB)
Isr. J. of Math. 221 (2017), 585–603.
Endomorphisms of power
series fields and residue fields
of Fargues-Fontaine curves PDF
(129 KB)
joint work with K. Kedlaya, Proceedings of AMS 146 (2018), 489–495.
Luna's fundamental lemma
for diagonalizable groups PDF
(523 KB)
joint work with D. Abramovich, Alg. Geom. 5 (2018), 77-113.
On relative birational
geometry and Nagata's,
compactification for algebraic
spaces
PDF
(392 KB)
joint work with I. Tyomkin, 2018 (2018), 3342–3387.
Functorial desingularization
over Q:
boundaries and the embedded case
PDF
(389 KB)
Isr. J. of Math. 224 (2018), 455–504.
Functorial factorization
of birational maps
PDF (565
KB)
for qe schemes in characteristic 0
joint work with D. Abramovich, Algebra and Number Theory 13 (2019),
379–424.
Lifting problem for
minimally wild covers of Berkovich curves PDF
(485 KB)
joint work with U. Brezner, J. of Algebraic Geometry. 29 (2020),
123-166.
Toroidal orbifolds,
destackification and Kummer blowings up PDF (412
KB)
joint work with D. Abramovich and J. Wlodarczyk, Algebra & Number Theory 14
(2020), 2001–2034.
Topological
transcendence degree
PDF
(300KB)
Journal of Algebra 568 (2021), 35-60.
Principalization of
ideals on logarithmic orbifolds PDF
(663 KB)
joint work with D. Abramovich and J. Wlodarczyk, JEMS 22 (2020),
3805--3866.
Logarithmically regular
morphisms
PDF
(344 KB)
joint work with S. Molcho, Math. Ann. 379 (2021), 325--346.
Descent for
non-archimedean analytic spaces PDF (602KB)
joint work with B. Conrad, Tunisian Journal of Mathematics 3 (2021),
689—748.
Reduction and lifting
problem for differential forms PDF (258
KB)
joint work with I. Tyomkin, Advances in Mathematics 397 (2022),
published online.
Non-archimedean
pinchings
PDF
(189 KB)
Mathematische Zeitschrift, (2022) published online, SharedIt link.
New Techniques in
Resolution of Singularities
joint work with D. Abramovich, A. Frühbis-Krüehger
and J. Wlodarczyk, Oberwolfach seminars 50, Birkhäuser, 2023.
Functorial embedded
resolution via weighted blowings up PDF
(309 KB)
joint work with D. Abramovich, and J. Wlodarczyk, Algebra & Number Theory 18
(2024), 1557–1587.
Height reduction for
local uniformization of varieties
and non-archimedean spaces
PDF (360
KB)
Journal of Algebra 646 (2024), 205—235.
Semistable reduction
over thick log points up PDF (275
KB)
joint work with A. Motzkin, to appear in Symons Symposia.
Preprints
Log smoothness and
polystability over valuation rings PDF
(494 KB)
joint work with K. Adiprasito, G. Liu and I. Pak, 1-39.
Semistable reduction in
characteristic 0
PDF
(312KB)
joint work with K. Adiprasito and G. Liu, 1-22.
Relative desingularization
and principalization of ideals PDF
(911 KB)
joint work with D. Abramovich and J. Wlodarczyk, 1-90.
Adic curves: stable
reduction, skeletons and metric structure PDF (580
KB)
joint work with K. Hübner, 1-48.
Principalization on
logarithmically foliated orbifolds PDF
(905 KB)
joint work with D. Abramovich, A. Belotto da Silva and J. Wlodarczyk, 1-71.
Logarithmic resolution
of singularities in characteristic 0
using weighted blow-ups orbifolds
PDF (467
KB)
joint work with D. Abramovich, A. Belotto da Silva, M.-H. Quek and J.
Wlodarczyk, 1-16.
Small extensions of
analytic fields PDF (275
KB)
1-18.
Dream resolution and
principalization I: enough derivations
PDF
(335 KB)
1-23.