Giovanni Paolini

Applied Scientist at Amazon Web Services and Caltech

Research

Publications and preprints
• Proof of the $$K(\pi,1)$$ conjecture for affine Artin groups with Mario Salvetti

arXiv preprint 1907.11795, 2019

• On the local homology of Artin groups of finite and affine type

Algebraic & Geometric Topology 19 (7), pp. 3615-3639, 2019

• Impossibility results on stability of phylogenetic consensus methods with Emanuele Delucchi and Linard Hoessly

Systematic Biology, to appear, 2019

• Shellability of posets of labeled partitions and arrangements defined by root systems with Emanuele Delucchi and Noriane Girard

Electronic Journal of Combinatorics 26 (4), 2019

• Shellability of generalized Dowling posets

Journal of Combinatorial Theory, Series A, to appear, 2019

• Representations of torsion-free arithmetic matroids with Roberto Pagaria

arXiv preprint 1908.04137, 2019

• The information complexity of learning tasks, their structure and their distance with Alessandro Achille, Glen Mbeng, and Stefano Soatto

arXiv preprint 1904.03292, 2019

• Weighted sheaves and homology of Artin groups with Mario Salvetti

Algebraic & Geometric Topology 18 (7), pp. 3943-4000, 2018

• Euclidean matchings and minimality of hyperplane arrangements with Davide Lofano

arXiv preprint 1809.02476, 2018

• Collapsibility to a subcomplex of a given dimension is NP-complete

Discrete & Computational Geometry 59 (1), pp. 246-251, 2018

• An algorithm for canonical forms of finite subsets of $$\mathbb{Z}^d$$ up to affinities

Discrete & Computational Geometry 58 (2), pp. 293-312, 2017

• On the classifying space of Artin monoids

Communications in Algebra 45 (11), pp. 4740-4757, 2017

Theses
• Topology and combinatorics of affine reflection arrangements

PhD thesis (2019)

• Discrete Morse theory and the $$K(\pi,1)$$ conjecture

Master thesis (2015)