p-adic numbers and non-archimedean world PDF (152
KB)
A public lecture given at Hebrew University 20/9/2019.
On local properties of non-Archimedean analytic spaces
PDF (81
KB)
A lecture on Math. Ann 318 paper.
On local properties of non-Archimedean analytic spaces II
PDF (77
KB)
A lecture on Isr. J. of Math. 140 paper.
Desingularization of quasi-excellent schemes over Q PDF (178
KB)
A lecture on Adv. Math. 219 paper.
Inseparable uniformization of valued fields PDF (158
KB)
A lecture related to the preprint on inseparable local uniformization.
Relative Riemann-Zariski spaces
PDF (178
KB)
A lecture on the preprint on the Riemann-Zariski spaces.
Desingularization of quasi-excellent schemes of characteristic zero PDF (267
KB)
A lecture on embedded and non-embedded functorial desingularization
given at Hironaka 80 congress (an older lecture on the same topic is here).
Non-archimedean analytic spaces PDF
(372 KB)
An introductory lecture on Berkovich analytic spaces.
Wild coverings of Berkovich curves PDF (359
KB)
A lecture on wild covers of Berkovich spaces given at the conference
in honor of Arthur Ogus on the occasion of his 70.
Logarithmic resolution of singularities PDF (285
KB)
A lecture on a new resolution algorithm given at the conference
in honor of Askold Khovanskii on the occasion of his 70.
Logarithmic resolution of singularities PDF
(306 KB)
A lecture at “Moduli and Hodge Theory”, Miami 2021.
Resolution: classical, relative, weighted PDF (280
KB)
Two lectures on the basic notions seminar.
Notes on moduli spaces of curves, stacks and de Jong’s theorem PDF (579
KB)
Lecture notes for math 80882.
Logarithmic Geometry and Resolution of Singularities PDF
(320 KB)
A lecture on resolution of singularities and logarithmic geometry given
at the conference on Arithmetic Geometry in honor of Luc Illusie.