ScienceCareers.eu - Job Vacancies in the Basque Country

Ikerbasque Eusko Jaurlaritza


Job Vacancies

This job offer was closed at 2022-09-30

BCAM - Basque Center for Applied Mathematics

PhD position in local algebra

Research Field: Mathematics 
Sub Research Field:  

Job Summary

The Singularity Theory and Algebraic Geometry group in the Basque Center for Applied Mathematics is looking for a PhD candidate to work with Ilya Smirnov in the general area of local algebra

Job Description

The Singularity Theory and Algebraic Geometry group in the Basque Center for Applied Mathematics is looking for a PhD candidate to work with Ilya Smirnov in the general area of local algebra.

The research area of the Fellowship will be local algebra, a branch of commutative algebra that originates from the study of singularities of the system of polynomial equations. More generally, it studies local rings from the viewpoint shaped by singularity theory and algebraic geometry as the results can be applied to local rings formed by the germs of functions at a point.
The specific project is to be determined in discussions with the Fellow, the potential areas are multiplicity theory and positive characteristic methods in commutative algebra.
Multiplicity theory is one of the oldest parts of local algebra, but it recently had an influx of new ideas largely focused on Lech’s inequality. The inequality can be improved in various ways and this work is yet to be fully completed.
“Positive characteristic methods” refer to the algebraic study of singularities over a field of positive characteristic based on the use of the Frobenius endomorphism: there are various classes of so-called F-singularities and an even greater number of numerical invariants. This field is closely connected to algebraic geometry, but it has also purely algebraic open problems.

Benefits

Comment/web site for additional job details

FP7 / PEOPLE / Marie Curie Actions

Research Framework Programme/
Marie Curie Actions
No 
SESAM Agreement Number  

Job Details

Type of Contract Temporary 
Status Full-time 
Hours Per Week   
Company/Institute Basque Center for Applied Mathematics - BCAM 
Country SPAIN 
State/Province Bizkaia 
City Bilbao 

Organization/Institute Contact Data

Organization BCAM - Basque Center for Applied Mathematics 
Organization/Institution Type Research Laboratory 
Faculty/Department/Research Lab  
Country SPAIN 
City BILBAO 
State/Province Bizkaia 
Postal Code E48009 
Street Alda. Mazarredo, 14 
E-Mail communication@bcamath.org 
Website www.bcamath.org 
Phone +34 946 567 842 
Mobile Phone  
Fax  

Application Details

Envisaged Job Starting Date 2022-12-02 
Application Deadline 2022-09-30 
How To Apply website  

Additional Requirements

Skill

· Applicants must have an excellent academic record.
· Good command of spoken and written English.
· Ability to clearly present in spoken and written form.
· A solid knowledge of algebra proven by taken classes and a master thesis in related areas.
· Mathematical maturity

The preferred candidate will have:
- Background in commutative algebra or algebraic geometry.
- Basic experience in programming, such as computer
algebra systems (Matlab, Maple, Mathematica, etc) may be useful

 
Specific Requirements

· Master’s degree in Mathematics at the time the fellowship starts.