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Interpreting 1081 as October 1981...

The single It's My Party by Dave Stewart and Barbara Gaskin first reached number one in the UK in October 1981.

Those were the days.

Walk 1082 in the online guide to Walking Britain is the Ennerdale Horseshoe in the Lake District. The route includes the major peaks circling the upper reaches of Ennerdale and you can expect the route to take fourteen hours or more.

During a full network challenge, for some strange reason, you decide to run from Upminster to Wanstead. Your route takes you through Ilford, along the A1083.

Even types of yeast have their own numbers. Yeast strain 1084 from Wyeast Laboratories in Oregon, USA is called Irish Ale, a "versatile yeast [that] ferments extremely well in dark worts [and] is a good choice for most high gravity beers".

Pope Gregory 7th died in 1085AD.

The first draft of the Domesday Book was completed in 1086.

NGC 1087 is an intermediate spiral galaxy in Cetus.

The shape above is known as an Aztec pillow (or a 3-pillow) of order 13.

It can be covered by dominoes in 7555072^2 * 1088 ways. (A domino covers exactly two of the # symbols.)

(From OEIS)

Take any three-digit number that isn't a palindrome. Write it backwards. Take away the smaller from the larger. You usually end up with another three digit number. (If you don't, then put a 'zero' before the two digits to effectively make it three digits.)

Take this new number, and below it, write the number backwards. Then add the two together.

Your answer should be 1089.

• (Edited in response to a correction made in the discussion thread - thanks GB...)

Top of the Google search results for 1090 was Rotary District 1090, covering the Thames Valley and surrounding areas. I don't recall seeing any of their other districts on previous searches - wonder how they made themselves so prominent?

1091AD - celebrations for the Welsh, as Cardiff Castle is built.

Despite the name, the 1000 Genomes Project is an international research effort establishing an integrated map of genetic variation from 1092 human genomes.

1093 = 3^6 + 3^5 + 3^4 + 3^3 + 3^2 + 3^1 + 3^0.

(1093 has a wikipedia page!!)

I don't suppose RobbieM's looking for a job at the moment, but there's a vacancy for a Customer Service Assistant with BP in Guildford - reference number 1094.

Pembroke Castle was built in 1095AD.