Grant: Discovery Grants Program - Individual
University of Western Ontario
$12,000.00
Local geometry of real and complex analytic mappings
FY 2008-09
Summary
My work is at the interface of analytic geometry and commutative algebra, two major branches of modern mathematics with applications in science and engineering. They deal with the analysis of polynomial and analytic functions and the geometry of the spaces on which they live. The subject of my current research program is the study of the local degeneracies in mappings. Such minute degeneracies can completely destroy the geometric regularity of the objects defined by the mappings, and hence it is important to know how to detect them. The main task of my program is to establish simple algebraic criteria to control the local behaviour of a mapping. This research provides opportunities for the training of graduate students and postdoctoral fellows and involves international collaboration with other mathematicians.
Program
Discovery Grants Program - Individual
Recipient
Location
Ontario, Canada
Recipient Type
Academia
Type
Grant
Source
NSERC's Awards Data
As published
Application id
355418-2008
Name nom
Adamus, Janusz
Department département
Mathematics
Organization id
36
Institution établissement
University of Western Ontario
Province en
Ontario
Province fr
Ontario
Country en
CANADA
Country fr
CANADA
Fiscal year exercice financier
2008
Competition year année de concours
2008
Award amount
12000
Program id
RGPIN
Program nane en
Discovery Grants Program - Individual
Program name fr
Programme de subventions à la découverte - individuelles
Group en
Discovery grants programs
Group fr
Programmes de subventions à la découverte
Committee code
336
Committee name en
Pure & Applied Maths - A
Committee name fr
Maths pures et appliquées - A
Area of application code
1205
Area of application group en
Advancement of knowledge
Area of application group fr
Avancement des connaissances
Area of application en
Mathematical sciences
Area of application fr
Sciences mathématiques
Research subject code
2902
Research subject group en
Pure mathematics
Research subject group fr
Mathématiques pures
Research subject en
Complex and harmonic analysis
Research subject fr
Analyse complexe et harmonique
Partie
1
Nb partie
5
Application title
Local geometry of real and complex analytic mappings
Keyword
NA
Application summary
My work is at the interface of analytic geometry and commutative algebra, two major branches of modern mathematics with applications in science and engineering. They deal with the analysis of polynomial and analytic functions and the geometry of the spaces on which they live. The subject of my current research program is the study of the local degeneracies in mappings. Such minute degeneracies can completely destroy the geometric regularity of the objects defined by the mappings, and hence it is important to know how to detect them. The main task of my program is to establish simple algebraic criteria to control the local behaviour of a mapping. This research provides opportunities for the training of graduate students and postdoctoral fellows and involves international collaboration with other mathematicians.
