Remote Desktop works fine. Until I try to connect to a dial up
connection. Then I get the broken link symbol flashing in the right
hand corner of my screen. I cannot connect again until I get the
Remote Computer restarted by the remote user. I think what is
happening is that once I make this remote connection with my modem i am
assigned a new IP and therefore my connection is broken between me and
the PC. I was wondering if there is any way around this issue.
Adam

Add a permanent route to your routing table, that will take care of
your problem!