By default, ReSharper overwrites some of the keyboard shortcuts already assigned to various commands in Visual Studio.NET. You can review and customize these and other shortcuts in Visual Studio.NET Options dialog, using the tab Keyboard.

In particular, ReSharper provides its own Code Completion commands, which complements the IntelliSense feature of Visual Studio.NET. By default, its Basic Code Completion is mapped to the same keyboard shortcut - Ctrl + Space . At the same time, you can still choose the default IntelliSense to be used when you press Ctrl + Space. To select this optioin, refer to Options - IntelliSense tab and topic.
If ReSharper shortcuts are not functioning as expected, you can reset them to default in the Options - General tab.
Note: Also, in the Options - General tab you can choose whether certain Visual Studio.NET items will be replaced with their counterparts provided by ReSharper.
Please consult this reference sheet for ReSharper's Default Keymap: http://www.jetbrains.com/resharper/documentation/20_DefaultKeymap.pdf