Why is a new user allowed to create a table? I'm wondering why a newly created user is allowed to create a table after connecting to a database. I have one database, project2_core:

postgres=# \l
                                          List of databases
     Name      |    Owner     | Encoding  |   Collate   |    Ctype    |       Access privileges       
---------------+--------------+-----------+-------------+-------------+-------------------------------
 postgres      | postgres     | SQL_ASCII | C           | C           | 
 project2_core | atm_project2 | UTF8      | de_DE.UTF-8 | de_DE.UTF-8 | project2=CTc/project2
 template0     | postgres     | SQL_ASCII | C           | C           | =c/postgres                  +
               |              |           |             |             | postgres=CTc/postgres
 template1     | postgres     | SQL_ASCII | C           | C           | =c/postgres                  +
               |              |           |             |             | postgres=CTc/postgres
(5 rows)


So far so good. Now I create a user:

postgres=# CREATE ROLE dietrich ENCRYPTED PASSWORD 'md5XXX' LOGIN NOCREATEROLE NOCREATEDB NOSUPERUSER


Okay. When I try to connect to the database, the user is not allowed to do so:

$ psql -h localhost -p 5432 -U dietrich -W project2_core
Password for user dietrich: 
psql: FATAL:  permission denied for database "project2_core"
DETAIL:  User does not have CONNECT privilege.


This is what I expected. Now the strange stuff starts. I grant the user CONNECT:

postgres=# GRANT CONNECT ON DATABASE project2_core TO dietrich;
GRANT
postgres=# \l
                                          List of databases
     Name      |    Owner     | Encoding  |   Collate   |    Ctype    |       Access privileges       
---------------+--------------+-----------+-------------+-------------+-------------------------------
 postgres      | postgres     | SQL_ASCII | C           | C           | 
 project2_core | atm_project2 | UTF8      | de_DE.UTF-8 | de_DE.UTF-8 | project2=CTc/project2+
               |              |           |             |             | dietrich=c/project2
 template0     | postgres     | SQL_ASCII | C           | C           | =c/postgres                  +
               |              |           |             |             | postgres=CTc/postgres
 template1     | postgres     | SQL_ASCII | C           | C           | =c/postgres                  +
               |              |           |             |             | postgres=CTc/postgres
(5 rows)


And without any further grants, the user is allowed to create a table:

$ psql -h localhost -p 5432 -U dietrich -W project2_core
Password for user dietrich: 
psql (9.2.3)
SSL connection (cipher: DHE-RSA-AES256-SHA, bits: 256)
Type "help" for help.

project2_core=&gt; create table adsf ();
CREATE TABLE
project2_core=&gt; \d
        List of relations
 Schema | Name | Type  |  Owner   
--------+------+-------+----------
 public | adsf | table | dietrich
(1 row)


I would have expected that the user is not allowed to do anything before I explicitly do GRANT USAGEon the schema and then GRANT SELECT on the tables.

Where is my mistake? What am I doing wrong? How can I achieve what I want (that a new user is not allowed to do anything before explicitly granting her the appropriate rights.

I'm lost, and your help is greatly appreciated :)

EDIT Following the advice by @daniel-verite, I now revok all immediately after creating the database. The user dietrich is not allowed to create a table any more. Good. BUT: Now, also the owner of the database, project2, is not allowed to create a table. Even after issuing GRANT ALL PRIVILEGES ON DATABASE project2_core TO project2 and GRANT ALL PRIVILEGES ON SCHEMA public TO project2, I get an error ERROR:  no schema has been selected to create in, and when I specifically try to CREATE TABLE public.WHATEVER ();, I get ERROR:  permission denied for schema public. What am I doing wrong?
When you create a new database, any role is allowed to create objects in the public schema. To remove this possibility, you may issue immediately after the database creation:

REVOKE ALL ON schema public FROM public;


Edit: after the above command, only a superuser may create new objects inside the public schema, which is not practical. Assuming a non-superuser foo_user should be granted this privilege, this should be done with:

GRANT ALL ON schema public TO foo_user;


To know what ALL means for a schema, we must refer to GRANT in the doc, (in PG 9.2 there are no less than 14 forms of GRANT statements that apply to different things...). It appears that for a schema it means CREATE and USAGE.

On the other hand, GRANT ALL PRIVILEGES ON DATABASE... will grant CONNECT and CREATE and TEMP, but CREATE in this context relates to schemas, not permanent tables.

Regarding this error: ERROR: no schema has been selected to create in, it happens when trying to create an object without schema qualification (as in create table foo(...)) while lacking the permission to create it in any schema of the search_path.