Gianluca Paolini

Einstein Institute of Mathematics
Hebrew University of Jerusalem
Edmond J. Safra Campus, Givat Ram, 9190401, Jerusalem
E-mail: gianluca.paolini(at)mail.huji.ac.il, paolinigianluca(at)gmail.com

Curriculum vitae.
Associations: AILA, SLS.
Links: Google scholar citations, ArXiv preprints, MathSciNet, ResearchGate.



I am Postdoctoral Research Fellow at the Einstein Institute of Mathematics of the Hebrew University of Jerusalem, under the supervision of Prof. Saharon Shelah. I work in mathematical logic. My current research interests are:
  • Model theory/Descriptive set theory: homogeneous model theory, combinatorial model theory, automorphism groups, Polish groups.
  • Algebra/Combinatorics: combinatorial group theory, geometric group theory, algebraic combinatorics, matroid theory, graph theory.


Papers

  1. Polish Topologies for Graph Products of Groups, with Saharon Shelah.
    In preparation.
  2. New $\omega$-Stable Planes.
    Submitted. [arXiv]
  3. A Universal Homogeneous Simple Rank $3$ Matroid.
    Submitted. [arXiv]
  4. The Class of Countable Locally Finite Planes is Borel Complete.
    Submitted. [arXiv]
  5. Group Metrics for Graph Products of Cyclic Groups, with Saharon Shelah.
    Topology Appl., to appear. [arXiv]
  6. Polish Topologies for Graph Products of Cyclic Groups, with Saharon Shelah.
    Submitted. [arXiv]
  7. The Automorphism Group of Hall's Universal Group, with Saharon Shelah.
    Proc. Amer. Math. Soc., to appear. [arXiv]
  8. The Strong Small Index Property for Free Homogeneous Structures, with Saharon Shelah.
    Submitted. [arXiv]
  9. Reconstructing Structures with the Strong Small Index Property up to Bi-Definability, with Saharon Shelah.
    Submitted. [arXiv]
  10. No Uncountable Polish Group Can be a Right-Angled Artin Group, with Saharon Shelah.
    Axioms 6 (2017), no. 2: 13. [arXiv][DOI]
  11. Coxeter Groups and Abstract Elementary Classes: The Right-Angled Case, with Tapani Hyttinen.
    Submitted. [arXiv]
  12. Beyond Abstract Elementary Classes: On The Model Theory of Geometric Lattices, with Tapani Hyttinen.
    Ann. Pure Appl. Logic, to appear. [arXiv]
  13. A Finite Axiomatization of G-Dependence.
    J. Log. Lang. Inf. 26 (2017), no. 3, 293-302. [arXiv][DOI]
  14. A Logic for Arguing About Probabilities in Measure Teams, with Tapani Hyttinen and Jouko Väänänen.
    Arch. Math. Logic 56 (2017), no. 5-6, 475-489. [arXiv][DOI]
  15. Reduction of Database Independence to Dividing in Atomless Boolean Algebras, with Tapani Hyttinen.
    Arch. Math. Logic 55 (2016), no. 3, 505-518. [arXiv][DOI]
  16. Quantum Team Logic and Bell's Inequalities, with Tapani Hyttinen and Jouko Väänänen.
    Rev. Symb. Log. 8 (2015), no. 4, 722-742. [arXiv][DOI]
  17. Independence Logic and Abstract Independence Relations.
    Math. Log. Q. 61 (2015), no. 3, 202-216. [arXiv][DOI]
  18. Dependence Logic in Pregeometries and $\omega$-Stable Theories, with Jouko Väänänen.
    J. Symb. Log. 81 (2016), no. 1, 32-55. [arXiv][DOI]