Michael Temkin

 

Department of Mathematics
209 South 33rd Street
University of Pennsylvania
Philadelphia, PA 19104-6395

E-mail: temkinmath.upenn.edu
Office: 4N61 David Rittenhouse Laboratory
Phone: (215-) 573-1029
 

 

Teaching

Fall 2008

·         Math 240 – Calculus III

Spring 2008

·         Math 725 – Topics in Algebraic Geometry

Fall 2007

·         Math 104 - Calculus I

Publications List

CV

Research Interests

  • non-Archimedean analytic geometry
  • algebraic geometry
  • birational geometry, desingularization and poly-stable reduction

Selected Publications

The pdf files below may differ slightly from the published versions.

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.

Preprints

Non-Archimedean analytification of algebraic spaces                            PDF (528 KB)
joint work with B. Conrad, to appear in J. Alg. Geom., 1-34.

Stable modification of relative curves                                                       PDF (468 KB)
1-41.

Relative Riemann-Zariski spaces                                                              PDF (336 KB)
1-27.

Inseparable local uniformization                                                                PDF (603 KB)
1-53.

Power series over generalized Krull domains                                           PDF (131 KB)
1-7.

 

Works in Progress

These are preliminary versions which may change from time to time.

Descent for non-archimedean analytic spaces                                           PDF (394 KB)
joint work with B. Conrad, 1-30.

Slides and lectures

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.

Miscellaneous

I’m very grateful to Luc Illusie for his generous permit to post here his lecture notes “On Gabber’s uniformization theorems : outline and applications to ´etale cohomology” on Gabber’s proof of fundamental finiteness theorem for etale cohomology  of general quasi-excellent schemes.      PDF  (108 KB)