## Ivo Dell'Ambrogio
I am a postdoc at the Bielefeld Representation Theory Group (BIREP) with Professor Henning Krause at Bielefeld University. Starting September 2012, I will be a Maître de Conférences within the Geometry and Topology group at the Laboratoire Paul Painlevé in Lille.
Some useful links:
MathSciNet
ArXiv
K-theory
BIREP seminar
FDList
math Math2.0 www.thecostofknowledge.com |

The titles are linked to the corresponding ArXiv page.

*Even more spectra: tensor triangular comparison maps via graded commutative 2-rings*(with Greg Stevenson), preprint (2012), 34 pages.*Morita homotopy theory of C*-categories*(with Gonçalo Tabuada), submitted (2011), 35 pages.*On the derived category of a graded commutative noetherian ring*(with Greg Stevenson), submitted (2011), 19 pages.*Equivariant Kasparov theory of finite groups via Mackey functors*, submitted (2011), 28 pages.*A functorial equivariant K-theory spectrum and an equivariant Lefschetz formula*(with H. Emerson, T. Kandelaki and R. Meyer), preprint (2011), 20 pages.*Tensor triangular geometry of noncommutative motives*(with Gonçalo Tabuada), Adv. in Math.**229**(2) (2012), 1329-1357.*The unitary symmetric monoidal model category of small C*-categories*, preprint (2011), to appear on Homology, Homotopy Appl., 27 pages.*Localizing subcategories in the Bootstrap category of separable C*-algebras*, J. K-Theory,**8**(3) (2011), pp. 493-505.*Tensor triangular geometry and KK-theory*, J. Homotopy Relat. Struct.**5**(2010), no. 1, 319-358.*The Witt groups of the spheres away from two*(with Jean Fasel), J. Pure Appl. Alg.**212**(2008), no. 5, pp. 1039-1045. (pdf)

*Prime tensor ideals in some triangulated categories of C*-algebras*, PhD thesis at ETH Zürich (2008). The main results of my thesis can be found in publication nr. 2.

*Categories of C*-algebras*(2009), 9 pages. A rather pedantic write-up of the category theory needed to express Gelfand duality precisely.*A survey of tensor triangular geometry and applications*(2009), 6 pages. Extended abstract of lectures given in Oberwolfach on Paul Balmer's tensor triangular geometry.*Biproducts in triangulated categories*(2009), 2 pages. I've once written up the exercise that the existence of direct sums follows from the other axioms of a triangulated category.*The Spanier-Whitehead category is always triangulated*(2004), 39 pages. My diploma thesis at ETH Zürich.

- Heath Emerson (
*KK-theory*) - Jean Fasel (
*Witt groups*) - Tamaz Kandelaki (
*KK-theory*) - Ralf Meyer (
*KK-theory*) - Greg Stevenson (
*tensor triangular geometry*) - Gonçalo Tabuada (
*tensor triangular geometry, model categories*)

- Winter 11-12:
*Lineare Algebra I*, Uni Bielefeld, with Prof. Henning Krause. - Winter 10-11:
*An introduction to tensor triangular geometry*, Uni Bielefeld. Written notes might hopefully appear at some point in the future. - Spring 2009:
*An introduction to C*-algebras*. There is a handout on categories of C*-algebras and an extended literature. - Fall 2008:
*Funktionalanalysis*, ETH Zürich, with Prof. Emmanuel Kowalski. -
*Darstellungstheorie von Köchern*, ETH Zurich, with Prof. Karin Baur. - Spring 2008:
*Algebra II*, ETH Zürich, with Prof. Max-Albert Knus - Fall 2007:
*Algebra I*, ETH Zürich, with Prof. Gisbert Wüstholz - Winter 05-06:
*Algebraic Topology*, ETH Zürich, with Prof. Guido Mislin - (...)

Here are some meetings that I plan to attend or have recently attended.

- Future:
- Amiens, 12-14.9.2012,
*Bisets in algebra and topology*

- Amiens, 12-14.9.2012,
- Past:
- Bielefeld 8-17.8.2012,
*Workshop and international conference on representations of algebras (ICRA 2012)* - Seattle, 27.7 - 5.8.2012,
*Cohomology and support in representation theory and related topics* - Nantes, 23-27.4.2012,
*Homologie des foncteurs et applications* - Bielefeld, 12-16.3.2012,
*Groups 2012* - Bad Driburg, 22-26.8.2011,
*Summer school on polynomial representations of the general linear group* - Banff, 12-17.6.2011,
*Triangulated categories and applications* - Tbilisi, 28.3 - 1.4.2011,
*Homotopy and non-commutative geometry* - Göttingen, 1-5.11.2010,
*K-theory, C*-algebras and index theory* - Oberwolfach, 25-31.7.2010,
*Cohomology of finite groups: applications and interactions* - (...)

- Bielefeld 8-17.8.2012,