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Dr. Giorgio Laguzzi

Fachbereich Mathematik
Mathematische Logik und interdisziplinäre Anwendungen der Logik
Universität Hamburg
Bundesstrasse, 55 (Geomatikum)
20146 Hamburg, Germany

Room number:   405
Phone: +49 040 42838-2094
Office Hour:   Wednesday from 1pm to 3pm (otherwise appointment scheduled per e-mail.)

Set Theory in Hamburg and Amsterdam: coming and past events in 2014

  • January 8th 2014: 11:15 - 12:30, Room 127. First order structures with few reducts, Dugald Mcpherson (Leeds).
  • February 10th 2014: 11:00 - 17:30. Hamburg Set Theory Workshop. Speakers: Andrew Brooke-Taylor (Bristol), Merlin Carl (Konstanz), Yurii Khomskii (KGRC, Vienna), Wolfagang Wohofski (TU, Vienna).
  • May-June-July 2014: ML seminar. Informal seminar organized by members of the Logic group of the University of Hamburg.
  • November 2014: AMSTERDAM SET THEORY WORKSHOP 2014.

Current Position

I am currently a post-doc researcher working at the Hamburg University in the Logic Group led by Prof. Dr. Benedikt Löwe

Curriculum Vitae

Here one can take a look at my CV.

Diploma Thesis- Teoria della Probabilita`: Teoremi Classici di Convergenza, supervised by Prof. Fabio Rapallo, Universita` degli Studi del Piemonte Orientale, June 29th, 2006.
Master Thesis- Cardinali Inaccessibili e Lebesgue Misurabilta`, supervised by Prof. Alessandro Andretta, Universita` degli Studi di Torino, October 1st, 2008.
PhD Thesis- Arboreal forcing notions and regularity properties of the real line, supervised by Prof. Dr. Sy Friedman, Universitaet Wien, 2012. (pdf below)

Research interests

Set theory, with particular emphasis on the set theory of the real numbers and the method of forcing.

Papers and Publications

  1. Arboreal forcing notions and regularity properties of the real line, PhD thesis, Universitaet Wien, April 2012. (supervised by: Prof. Dr. Sy David Friedman)

  2. On the separation of regularity properties of the reals, Archive for Mathematical Logic (2014), DOI: 10.1007/s00153-014-0386-7.

  3. Some considerations on Amoeba forcing notions, Archive for Mathematical Logic (2014), DOI: 10.1007/s00153-014-0375-x.

  4. Generalized Silver and Miller measurability, Mathematical Logic Quarterly (2014), accepted, to appear.

  5. Full-splitting Miller trees and infinitely often equal reals, (joint with Yurii Khomskii), submitted.

  6. Two Marczewski-style null ideals, (joint with Yurii Khomskii and Wolfgang Wohofsky), in progress.

Slides of some talks

  1. Regularity properties and tree-forcings, AILA Conference, Pisa, April 2014.

  2. Generalized Silver measurability, Freiburg Set Theory Workshop, Freiburg, June 2014.

Some notes and preprint

  1. Set Theory, Forcing and Real Line. Very brief and informal notes on ZFC theory and forcing method, with some emphasis on the applications to questions concerning the real numbers.

Research Project

Here you can find some open questions that I consider noteworthy, and which I will focus on a considerable part of my research in the coming years.