You can remotely access your mac OS X work computer as follows: ITS suggests that you use the following secure channels if you plan to use Screen Sharing or other VNC clients: Mac OS Screen Sharing or other VNC clients (programs that allow you to access your desktop remotely) can be used, but most do not encrypt their communications. Remote access from a mac OS computer to your mac OS work computer You should note this somewhere you can access it from home.
See the related answer for instructions on finding your fully qualified domain name. Before accessing your work computer remotely, you will need to know your work computer's fully qualified domain name.