研究者データベース

SETTEPANELLA SIMONA(セツテパネーラ シモーナ)
理学研究院 数学部門 数学分野
准教授

基本情報

所属

  • 理学研究院 数学部門 数学分野

職名

  • 准教授

学位

  • Ph.D(ピサ大学)

ホームページURL

J-Global ID

研究キーワード

  • Mathematical methods in Economics   Industrial Economics   Algebraic Topology   Combinatorics   

研究分野

  • 自然科学一般 / 応用数学、統計数学 / Mathematical Modeling for Economics
  • 自然科学一般 / 数学基礎 / Mathematical Modeling for Economics
  • 自然科学一般 / 代数学

職歴

  • 2016年04月 - 現在 Hokkaido University Mathematics Department Associate Professor
  • 2013年08月 - 2016年03月 Hokkaido University Mathematics Department Specially Appointed Lecturer
  • 2008年08月 - 2013年07月 Scuola Sant'Anna di Studi Avanzati Research Fellow

学歴

  • 2004年04月 - 2008年12月   Teramo University
  • 1999年10月 - 2003年11月   Pisa University   Mathematics Department   Ph.D in Mathematics
  • 1993年10月 - 1997年12月   Perugia University   Department of Mathematics   Mathematics Degree

研究活動情報

論文

  • Productivity Decomposition in Heterogeneous Industries
    Giovanni Dosi, Marco Grazzi, Le Li, Luigi Marengo, Simona Settepanella
    Journal of Industrial Economics ( accepted for publication ) 2020年12月 [査読有り][通常論文]
  • Algebraic Structure of Manin Schechtman Higher Braid Groups and Stratifications of Discriminantal Arrangements
    P.Bailet, B. Guerville, A. Libgober, S. Settepanella
    Oberwolfach Annual Report 2019年12月 [査読無し][招待有り]
  • On an explicit correspondence between $\nbc$-basis, chambers and minimal complex for real supersolvable arrangements
    S. Settepanella, M. Torielli
    Australasian Journal Of Combinatorics 72 2 223 - 245 2019年10月 [査読有り][通常論文]
  • Pappus's Theorem in Grassmannian GR(3,C^n)
    シモーナ セッテパネーラ
    Ars Mathematica Contemporanea 16 1 257 - 276 2019年01月 [査読有り][通常論文]
  • Strata of discriminantal arrangements
    シモーナ セッテパネーラ
    Journal of Singularities (Special Volume in honor of E. Brieskorn ) 18 441 - 456 2018年 [査読有り][招待有り]
  • Sumire Sawada, Simona Settepanella, So Yamagata
    COMPTES RENDUS MATHEMATIQUE 355 11 1111 - 1120 2017年11月 [査読有り][通常論文]
     
    We show that points in specific degree-2 hypersurfaces in the Grassmannian Gr( 3, n) correspond to generic arrangements of n hyperplanes in C-3 with associated discriminantal arrangement having intersections of multiplicity three in codimension two. (C) 2017 Acadmie des sciences. Published by Elsevier Masson SAS. All rights reserved.
  • Pauline Bailet, Simona Settepanella
    ADVANCES IN APPLIED MATHEMATICS 90 46 - 85 2017年09月 [査読有り][通常論文]
     
    We study the first homology group H-1(F,C) of the Milnor fiber F of sharp arrangements (A) over bar in P-R(2). Our work relies on the minimal complex C-*(S(A)) of the deconing arrangement A and its boundary map. We describe an algorithm which computes possible eigenvalues of the monodromy operator h(1) of H-1(F, C). We prove that, if a condition on some intersection points of lines in A is satisfied, then the only possible nontrivial eigenvalues of h(1) are cubic roots of the unity. Moreover we give sufficient conditions for just eigenvalues of order 3 or 4 to appear in cases in which this condition is not satisfied. (C) 2017 Elsevier Inc. All rights reserved.
  • Giovanni Dosi, Marco Grazzi, Luigi Marengo, Simona Settepanella
    JOURNAL OF INDUSTRIAL ECONOMICS 64 4 875 - 907 2016年12月 [査読有り][通常論文]
     
    The paper presents a new framework to assess firm level heterogeneity and to study the rate and direction of technical change. Building on the analysis of revealed short-run production functions by Hildenbrand (), we propose the (normalized) volume of the zonotope composed by vectors-firms as indicator of inter-firm heterogeneity. Moreover, the angles that the zonotope's main diagonal form with the axes provide a measure of the rates and directions of productivity change. The proposed framework also accounts for n-inputs and m-outputs and, crucially, the measures of heterogeneity and technical change do not require many of the standard assumptions from production theory.
  • Feichtner Eva-Maria, Settepanella Simona
    EVOLUTIONARY AND INSTITUTIONAL ECONOMICS REVIEW 12 1 121  2015年06月 [査読有り][通常論文]
  • Settepanella Simona, Dosi Giovanni, Grazzi Marco, Marengo Luigi, Ponchio Federico
    EVOLUTIONARY AND INSTITUTIONAL ECONOMICS REVIEW 12 1 223 - 234 2015年06月 [査読有り][通常論文]
  • シモーナ セッテパネーラ
    Evolutionary and Institutional Economics Review 12 1 141 - 168 2015年06月 [査読有り][招待有り]
  • Simona Settepanella, Michele Torielli
    Australasian Journal of Combinatorics 75 2 223 - 245 2015年03月19日 [査読有り][通常論文]
     
    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 $\mathcal{A}$, the $\textbf{nbc}$ basis of the Orlik-Solomon
    algebra associated to $\mathcal{A}$ and the set of chambers of $\mathcal{A}$.
    We use these bijections to get results on the first (co)homology group of the
    Milnor fiber of $\mathcal{A}$ and to describe a bijection between the symmetric
    group and the $\textbf{nbc}$ basis of the braid arrangement.
  • Sandro Manfredini, Simona Settepanella
    TOPOLOGY AND ITS APPLICATIONS 176 51 - 56 2014年10月 [査読有り][通常論文]
     
    We describe the fundamental group and second homotopy group of ordered k-point sets in Gr(k,n) generating a subspace of fixed dimension. (C) 2014 Elsevier B.V. All rights reserved.
  • On the Configuration Spaces of Grassmannian Manifolds
    シモーナ セッテパネーラ
    Ann. Fac. Sci. Toulouse 23 2 353 - 359 2014年03月 [査読有り][招待有り]
  • Luigi Marengo, Simona Settepanella
    ANNALI DELLA SCUOLA NORMALE SUPERIORE DI PISA-CLASSE DI SCIENZE 13 4 1039 - 1064 2014年 [査読有り][通常論文]
     
    We present a geometric model of social choice when the latter takes place among bundles of interdependent elements, that we will call objects. We show that the outcome of the social choice process is highly dependent on the way these bundles are formed. By bundling and unbundling the same set of constituent elements an authority enjoys a vast power of determining the social outcome. We provide necessary and sufficient conditions under which a social outcome may be a local or global optimum for a set of objects, and we show that, by appropriately redefining the set of objects, intransitive cycles may be broken and the median voter may be turned into a loser.
  • Braid groups in complex spaces
    シモーナ セッテパネーラ
    Bollettino dell'Unione Matematica Italiana 7 7 2 157 - 168 2014年 [査読有り][通常論文]
  • M. W. Davis, S. Settepanella
    PUBLICACIONS MATEMATIQUES 57 2 379 - 392 2013年 [査読有り][通常論文]
     
    Suppose R is the complement of an essential arrangement of toric hyperlanes in the complex torus (C*)(n) and pi = pi(1)(R). We show that H* (R; A) vanishes except in the top degree n when A is one of the following systems of local coefficients: (a) a system of nonresonant coefficients in a complex line bundle, (b) the von Neumann algebra N pi, or (c) the group ring Z pi. In case (a) the dimension of H-n is vertical bar e(R)vertical bar where e(R) denotes the Euler characteristic, and in case (b) the nth l(2) Betti number is also vertical bar e(R)vertical bar.
  • Gennaro Amendola, Simona Settepanella
    JOURNAL OF MATHEMATICAL SOCIOLOGY 36 1 44 - 77 2012年 [査読有り][通常論文]
     
    Marengo and Settepanella (2010) have developed a geometric model of social choice when it takes place among bundles of interdependent elements, showing that by bundling and unbundling the same set of constituent elements an authority has the power of determining the social outcome. In this article, we will tie the model above to tournament theory, solving some of the mathematical problems arising in their work and opening new questions which are interesting from both a mathematical and social choice point of view. In particular, we will introduce the notion of u-local optima and study it from both a theoretical and a numerically probabilistic point of view; we will also describe an algorithm that computes the universal basin of attraction of a social outcome in O(M(3) log M) time (where M is the number of social outcomes).
  • Luca Moci, Simona Settepanella
    JOURNAL OF PURE AND APPLIED ALGEBRA 215 8 1980 - 1989 2011年08月 [査読有り][通常論文]
     
    A toric arrangement is a finite set of hypersurfaces in a complex torus, every hypersurface being the kernel of a character. In the present paper, we build a CW-complex homotopy equivalent to the arrangement complement, with a combinatorial description similar to that of the well-known Salvetti complex. If the toric arrangement is defined by a Weyl group, we also provide an algebraic description, very handy for cohomology computations. In the last part, we give a description in terms of tableaux for a toric arrangement appearing in robotics. (C) 2010 Elsevier B.V. All rights reserved.
  • Emanuele Delucchi, Simona Settepanella
    ADVANCES IN APPLIED MATHEMATICS 44 2 124 - 144 2010年02月 [査読有り][通常論文]
     
    Polar orderings arose in recent work of Salvetti and the second author on minimal CW-complexes for complexified hyperplane arrangements. We study the combinatorics of these orderings in the classical framework of oriented matroids, and reach thereby a weakening of the conditions required to actually determine such orderings. A class of arrangements for which the construction of the minimal complex is particularly easy, called recursively orderable arrangements, can therefore be combinatorially defined. We initiate the study of this class, giving a complete characterization in dimension 2 and proving that every supersolvable complexified arrangement is recursively orderable. (C) 2009 Elsevier Inc. All rights reserved.
  • Simona Settepanella
    TOPOLOGY AND ITS APPLICATIONS 156 5 1008 - 1012 2009年02月 [査読有り][通常論文]
     
    Consider the ring R := Q vertical bar tau. tau(-1)vertical bar of Laurent polynomials in the variable tau. The Artin's Pure Braid Groups (or Generalized Pure Braid Groups) act over R. where the action of every standard generator is the multiplication by tau. In this paper we consider the cohomology of these groups with coefficients in the module R (it is well known that such cohomology is strictly related to the untwisted integral cohomology, of the Milnor fibration naturally associated to the reflection arrangement). We compute this cohomology for the cases I(2)(m). H(3), H(4), F(4) and An with 1 <= n <= 7. (c) 2008 Elsevier B.V. All rights reserved.
  • Simona Settepanella
    ANALELE STIINTIFICE ALE UNIVERSITATII OVIDIUS CONSTANTA-SERIA MATEMATICA 17 1 211 - 230 2009年 [査読有り][通常論文]
     
    The need to calculate local system cohomolgy of the complement of an hyper plane arrangement arises in various contexts. Nevertheless until now very few it's known on the direct computation of such cohomology. In this paper the author describes all generators of the first homology group of braid arrangement giving also a complete description of its first characteristic variety, fulfilling results obtained by D.Cohenand A.Suciuin [7]. Moreover she gives also a complete description of the first characteristic variety in the case of the generalized braid arrangement coming from the dihedral group.
  • Blocking Sets in the complement of hyperplane arrangements in projective space
    シモーナ セッテパネーラ
    J. Discrete Math. Sci. Cryptography 12 1 101 - 107 2009年 [査読有り][通常論文]
  • Mario Salvetti, Simona Settepanella
    GEOMETRY & TOPOLOGY 11 1733 - 1766 2007年 [査読有り][通常論文]
     
    Using combinatorial Morse theory on the CW-complex S constructed in Salvetti [15] which gives the homotopy type of the complement to a complexified real arrangement of hyperplanes, we find an explicit combinatorial gradient vector field on S, such that S contracts over a minimal CW-complex. The existence of such minimal complex was proved before Dimca and Padadima [5] and Randell [14] and there exists also some description of it by Yoshinaga [19]. Our description seems much more explicit and allows to find also an algebraic complex computing local system cohomology, where the boundary operator is effectively computable.
  • S Settepanella
    TOPOLOGY AND ITS APPLICATIONS 139 1-3 37 - 47 2004年04月 [査読有り][通常論文]
     
    Consider the ring R := Q[tau, tau(-1)] of Laurent polynomials in the variable tau. The Artin's pure braid groups (or generalized pure braid groups) act over R, where the action of every standard generator is the multiplication by tau. In this paper we consider the cohomology of such groups with coefficients in the module R (it is well known that such cohomology is strictly related to the untwisted integral cohomology of the Milnor fibration naturally associated to the reflection arrangement). We give a sort of stability theorem for the cohomologies of the infinite series A, B and D, finding that these cohomologies stabilize, with respect to the natural inclusion, at some number of copies of the trivial R-module Q. We also give a formula which computes this number of copies. (C) 2003 Elsevier B.V. All fights reserved.

講演・口頭発表等

  • Discrete Morse Theory  [通常講演]
    シモーナ セッテパネーラ
    PISA-HOKKAIDO-ROMA2 Summer School on Mathematics and Its Applications 2018 2018年08月 公開講演,セミナー,チュートリアル,講習,講義等
  • Multi-Factor Productivity and Evolutionary Accounting in Presence of (Persistently) Hetero- geneous Firms  [招待講演]
    シモーナ セッテパネーラ
    ISS Conference, Seoul, (Korea) 2018年07月 口頭発表(招待・特別)
  • Judgement aggregation and social choice: a graph model  [招待講演]
    シモーナ セッテパネーラ
    Mathematical Analysis of Self- Organization with Constraints 2018年05月 口頭発表(一般)
  • Discriminantal arrangement, hypersurfaces in Grassmannian and Pappus’s Theorem  [招待講演]
    シモーナ セッテパネーラ
    Women in Mathematics - a Panorama of Contributions 2017年07月 口頭発表(一般)
  • Intersection lattice of Discriminantal arrangement and hypersurfaces in Grassmannian  [通常講演]
    シモーナ セッテパネーラ
    Arrangements and beyond: Combinatorics, geometry, topology and applications 2017年06月 口頭発表(一般)
  • Homology graph of real arrangements and monodromy of Milnor Fiber  [招待講演]
    シモーナ セッテパネーラ
    Hyperplane Arrangements and related topics 2017年02月 口頭発表(一般)
  • Discrete Morse Theory and minimal CW-complex  [通常講演]
    シモーナ セッテパネーラ
    owards a New Paradim for Self-Organaization with constrains 2016年11月 口頭発表(一般)
  • Discrete Morse Theory and minimal CW-complex  [招待講演]
    シモーナ セッテパネーラ
    Perspectives on arrangements and configuration spaces 2016年09月
  • Strata of Discriminantal Arrangements  [招待講演]
    シモーナ セッテパネーラ
    Special Session on Combinatorics, at the Crossroads of Algebra, Geometry, and Topology, AMS Meeting 2016年09月 口頭発表(一般)
  • Arrow’s impossibility theorem on existence of global optimum and local alternatives: local optima  [招待講演]
    シモーナ セッテパネーラ
    Towards a New Paradim for Self-Organaization 2016年05月 口頭発表(一般)
  • Strata of Discriminantal Arrangements  [招待講演]
    シモーナ セッテパネーラ
    Arrangements: topology,combinatorics and stability 2016年02月
  • Arrangements of hyperplanes and decision theory  [招待講演]
    シモーナ セッテパネーラ
    Towards a New Paradim for Self-Organaization 2015年05月
  • The nbc-minimal complex of supersolvable arrangements  [招待講演]
    シモーナ セッテパネーラ
    Arrangements of plane curves and related problems 2015年03月 口頭発表(一般)
  • The nbc-minimal complex of supersolvable arrangements  [招待講演]
    シモーナ セッテパネーラ
    Algebraic topology, geometric and combinatorial group theory 2015年02月 口頭発表(一般)

教育活動情報

主要な担当授業

  • 代数学講義
    開講年度 : 2019年
    課程区分 : 修士課程
    開講学部 : 理学院
    キーワード : Reflection groups, Coxeter groups, Affine reflection groups
  • 代数学続論
    開講年度 : 2019年
    課程区分 : 学士課程
    開講学部 : 理学部
    キーワード : Reflection groups, Coxeter groups, Affine reflection groups
  • 国際交流Ⅱ
    開講年度 : 2019年
    課程区分 : 学士課程
    開講学部 : 国際本部
  • 微分積分学Ⅱ
    開講年度 : 2019年
    課程区分 : 学士課程
    開講学部 : 全学教育
    キーワード : Reflection groups, Coxeter groups, Affine reflection groups
  • 数学総合講義Ⅱ
    開講年度 : 2019年
    課程区分 : 学士課程
    開講学部 : 理学部
    キーワード : Graphs, Paths, Coloring, Matchings


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