I wonder if C# (or the underlying .NET framework) supports some kind of "generic delegate instances": that is a delegate instance that still has an unresolved type parameter, to be resolved at the time the delegate is invoked (not at the time the delegate is created). I suspect this isn't possible, but I'm asking it anyway...

Here is an example of what I'd like to do, with some "???" inserted in places where the C# syntax seems to be unavailable for what I want. (Obviously this code doesn't compile)

class Foo {
  public T Factory<T>(string name) {
    // implementation omitted
  }
}

class Test {
  public void TestMethod()
  {
    Foo foo = new Foo();
    ??? magic = foo.Factory; // No type argument given here yet to Factory!
                             // What would the '???' be here (other than 'var' :) )?
    string aString = magic<string>("name 1"); // type provided on call
    int anInt = magic<int>("name 2"); // another type provided on another call

    // Note the underlying calls work perfectly fine, these work, but i'd like to expose
    // the generic method as a delegate.
    string aString2 = foo.Factory<string>("name 1");
    int anInt2 = foo.Factory<int>("name 2");
  }
}

Is there a way to actually do something like this in C#? If not, is that a limitation in the language, or is it in the .NET framework?