I just created a new ext4 filesystem on a new drive and I am trying to mount it manually:
mount /dev/sdc1 a it does mount correctly, but then only root seems to have write permissions. How can I give write permissions to my user as well?
This is normal behavior - mount doesn't give write permissions at all. The write permissions are controlled by the permissions bits on the directory in the filesystem (i.e. after it's mounted). To manage who can read and write from/to this filesystem, just use the normal chown and chmod tools.
a with the / directory of the filesystem that has been mounted. a's owner, its permissions, even all of its contents, are all hidden. When you unmount the filesystem, you can access a just as it was before. a prior to the mount is a completely different item than the filesystem at a after the mount. uid, gid and some ?mask options through mount to control access. root, as I mention here. As Mark Plotnick said, mount just overlays a directory in your system with the contents of / on the attached drive.
To circumnavigate this and as an expansion to John's answer, you can try
chmod -R -rwxrw-rw a or
chmod -R 755 a depending on your preference. The command will change all files in a to give you RW permissions.
Alternatively, if ls -l reports that root is the owner:
chown -R <your name here> a would make you the owner of all the files in a.
chmod and chown with -R can mess up some intentional permissions modifications on files, so do exercise caution when executing such commands.
chmod -R -rwxrw-rw- a? (with a final - to say unprivileged users can't execute the file.) If the mounted filesystem is read only, such as a MacBook Apple Filesystem (APFS) mounted with apfs-fuse on an Ubuntu LiveUSB, you can't use chown to change the owner. In that case, just open a root file manager window and view the files through that.
Ex:
# the default Ubuntu file manager: nautilus sudo nautilus # the pretty one (https://askubuntu.com/a/1173861/327339): nemo sudo add-apt-repository universe sudo apt update sudo apt install nemo sudo nemo
/etc/fstabwith theuseroption activated.