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## Ivo Dell'Ambrogio

I am currently a postdoc at the BIREP in Bielefeld, Germany.

### Research

Preprints:

**4.** *The unitary symmetric monoidal model category of small C*-categories* (arXiv, March 2010, 22 pages).

I also have a very concise: *Survey of tensor triangular geometry and applications* (pdf, 6 pages), which is now superseded by the real thing (#30).

Publications:

**3.** *Localizing subcategories in the Bootstrap category of separable C*-algebras* (arXiv), 2010, 9 pages, to appear in J. of K-theory.

**2.** *Tensor triangular geometry and KK-theory* (arXiv), 2009, 33 pages, to appear on the Journal of Homotopy and Related Structures.

This is a condensed and improved version of my thesis.

**1.** *The Witt groups of the spheres away from two* (pdf), 8 pages, joint with Jean Fasel, J. Pure Appl. Algebra 212 (2008), no. 5, 1039--1045.

**0.** My PhD thesis: *Prime tensor ideals in some tensor triangulated categories of C*-algebras* (ETH e-collection, 164 p.), written with the benign supervision of Paul Balmer.

**-1.** My 2004 ETHZ diploma thesis: *The Spanier-Whitehead category is always triangulated* (pdf, 39 pages).

### Teaching

WS 2010/11: An introduction to tensor triangular geometry

FS 2009: An introduction to C*-algebras (with a categorical handout on Gelfand duality: pdf, 9 p.)

HS 2008: Funktionalanalysis, Darstellungstheorie von Köchern

FS 2008: Algebra II

HS 2007: Algebra I

*(last change: 15.10.2010)*