Dear Sir/Madam,
I am a GIS developer and analyst with prior experience working on tasks such as this, from a background in environmental science and ecology. My skillset is fairly broad and includes working with QGIS, GRASS etc; programming in Python and R; data management; spatial analysis; map design/cartography; web map development; and working with databases/SQL.
I propose to use PostGIS for the task, importing the layers with ogr2ogr, then writing a spatial SQL query to calculate the borders, centroids, and distances, which I can write to csv files. The same result can be achieved without a db using R or Python, if preferred. Either way, in addition to the csv tables, I can provide the source code/query for reference.
I will be looking forward to hearing back from you regarding this opportunity and discussing further. If you have any questions regarding my application, please do not hesitate to get in touch. Also, unrelated to this task, I too am from from Sheffield, although lived most of my life in Chesterfield, and now reside in Canada.
Kind regards,
Shaun