SETTEPANELLA, Simona(セッテパネーラ シモナ/Simona Settepanella)

SETTEPANELLA, Simona
身分
准教授
所属
大学院理学研究院
研究分野
特異点論、組合せ論
研究内容

Arrangements of hyperplanes are mathematical objects that can be approached by many different point of view such as algebro-geometric, combinatorial and topological ones. Moreover they are related to Artin Groups and the algebra connected with them.
I’m mainly interested in the cohomology of the complement of hyperplane arrangements with local coefficients which is related to the cohomology of the Milnor Fiber of the arrangement. I’m also interested in toric arrangements, i.e. arrangements of hypersurfaces in a complex torus. Recently I also started research in social choice, economics and organizational studies. In particular, jointly with some economists, we modeled and studied problems related to these disciplines using arrangements of hyperplanes.

主要論文
  1. A stability-like theorem for cohomology of Pure Braid Groups of the series A, B and D , Topology Appl., 139 (2004), no.1-3, 37-47. (file.pdf)
  2. Combinatorial Morse theory and minimality of hyperplane arrangements , (with M. Salvetti ) Geometry & Topology, 11 (2007), 1733-1766. (file.pdf)
  3. Social Choice among Complex Objects , (with L. Marengo) Ann. Scuola Norm. Sup. Pisa Cl. Sci. (2012) doi: 10.2422/2036-2145.201202_004. (file.pdf)
研究者総覧

http://researchers.general.hokudai.ac.jp/profile/ja.Bc-EXQxtzeLlW0mzDrQw0A==.html

キーワード
, , , ,
個人のWebPage
http://www.math.sci.hokudai.ac.jp/~s.settepanella