TORIELLI MICHELE

J-GLOBAL         Last updated: Jun 13, 2019 at 11:06
 
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Name
TORIELLI MICHELE
E-mail
toriellimath.sci.hokudai.ac.jp
URL
http://www.math.sci.hokudai.ac.jp/en/resercher/torielli-michele.php
Affiliation
Hokkaido University
Section
Faculty of Science
Job title
Assistant Professor
Degree
Ph.D.(Warwick University)

Profile

My area of interest is singularity theory, and in particular hyperplane arrangements. I am interested in understanding the links between the topological, algebraic and combinatorial aspects of these objects.

Research Areas

 
 

Academic & Professional Experience

 
Nov 2014
 - 
Oct 2015
PostDoc, Department of Mathematics, University of Torino
 
Oct 2012
 - 
Oct 2014
JSPS Fellow, Faculty of Science, Hokkaido University
 

Education

 
Oct 2008
 - 
Aug 2012
Ph.D., Mathematics, Warwick University
 
Sep 2006
 - 
Jun 2008
M.Sc., Mathematics, University of Genoa
 

Published Papers

 
Daisuke Suyama, Michele Torielli, Shuhei Tsujie
Discrete Mathematics      Sep 2018   [Refereed]
A Weyl arrangement is the hyperplane arrangement defined by a root system.
Arnold and Saito proved that every Weyl arrangement is free. The Weyl
subarrangements of type Tex are represented by simple graphs. Stanley
gave a characterization o...
Behnaz Pahlavsay, Elisa Palezzato, Michele Torielli
   Jul 2018
A Tex-tuple total dominating set (TexTDS) of a graph Tex is a set Tex of
vertices in which every vertex in Tex is adjacent to at least Tex vertices in
Tex. The minimum size of a TexTDS is called the Tex-tuple total dominating
number and it is deno...
Michele Torielli, Shuhei Tsujie
   Jul 2018
Every subarrangement of Weyl arrangements of type Tex is represented
by a signed graph. Edelman and Reiner characterized freeness of subarrangements
between type Tex and type Tex in terms of graphs. Recently,
Suyama an...
Elisa Palezzato, Michele Torielli
   May 2018
We introduce the package \textbf{arrangements} for the software CoCoA. This
package provides a data structure and the necessary methods for working with
hyperplane arrangements. In particular, the package implements methods to
enumerate many commo...
Anna Maria Bigatti, Elisa Palezzato, Michele Torielli
Journal of Algebra and its Applications      Apr 2018   [Refereed]
In this paper we want to revive the object sectional matrix which encodes the
Hilbert functions of successive hyperplane sections of a homogeneous ideal. We
translate and/or reprove recent results in this language. Moreover, some new
results are s...
Elisa Palezzato, Michele Torielli
   Mar 2018
In this paper, we study the class of free hyperplane arrangements.
Specifically, we investigate the relations between freeness over a field of
finite characteristic and freeness over Tex.
Weili Guo, Michele Torielli
Graphs and Combinatorics   34(3) 477-488   Mar 2018   [Refereed]
The fundamental group of the complement of a hyperplane arrangement in a
complex vector space is an important topological invariant. The third rank of
successive quotients in the lower central series of the fundamental group was
called Falk invari...
Anna Maria Bigatti, Elisa Palezzato, Michele Torielli
Journal of Algebraic Combinatorics      Sep 2018
In this article we describe two new characterizations of freeness for
hyperplane arrangements via the study of the generic initial ideal and of the
sectional matrix of the Jacobian ideal of arrangements.
Two new characterizations of free hyperplane arrangements
Anna Maria Bigatti, Elisa Palezzato, Michele Torielli
Monografıas de la Real Academia de Ciencias. Zaragoza   43 59-62   2018   [Refereed]
Weili Guo, Michele Torielli
   Jul 2017
The fundamental group of the complement of a hyperplane arrangement in a
complex vector space is an important topological invariant. The third rank of
successive quotients in the lower central series of the fundamental group was
called Falk invari...
Simona Settepanella, Michele Torielli
   Mar 2015
In this paper we give a very natural description of the bijections between
the minimal CW-complex homotopy equivalent to the complement of a supersolvable
arrangement Tex, the Tex basis of the Orlik-Solomon
algebra associated ...
Michele Torielli, Masahiko Yoshinaga
Journal of Singularities   11 33-51   Apr 2014
The resonant band is a useful notion for the computation of the nontrivial
monodromy eigenspaces of the Milnor fiber of a real line arrangement. In this
article, we develop the resonant band description for the cohomology of the
Aomoto complex. As...
Shaheen Nazir, Michele Torielli, Masahiko Yoshinaga
Topology and its Applications   178 288-299   Nov 2013
A rank one local system on the complement of a hyperplane arrangement is said
to be admissible if it satisfies certain non-positivity condition at every
resonant edges. It is known that the cohomology of admissible local system can
be computed com...
Michele Torielli
Ann. Inst. Fourier (Grenoble), vol. 63 (2013)   63(6) 2097-2136   Oct 2011
We investigate deformations of free and linear free divisors. We introduce a
complex similar to the de Rham complex whose cohomology calculates deformation
spaces. This cohomology turns out to be zero for many linear free divisors and
to be constr...

Research Grants & Projects

 
On the algebra and combinatorics of hyperplane arrangements
JSPS: KAKENHI
Project Year: Apr 2019 - Mar 2022    Investigator(s): TORIELLI MICHELE