Problems listing posts into author page

Hello!

I have some problems trying to list all the posts from one single author in its own page (author.php).

What i need is to list the posts day by day, but into every month separately.

The structure should be something like this:

September

-1.sept – Blabla
-3.sept – Blabla
-16.sept – Blabla
-19.sept – Blabla

October

-1.oct – Blabla
-3.oct – Blabla
-7.oct – Blabla
-18.oct – Blabla
-29.oct – Blabla

You can see a live example of what i mean here:

http://www.directoalpaladar.com/autor/pintxo

While what i get is this:

http://www.elblogalternativo.com/author/angel-de-la-guarda/

I can show the month, but for every post it shows again, and I only need to show it once in the top.

Any ideas?

Many thanks in advance!!