I’m still investigating the shift in taste that’s taken place in the last few years that froze Analog out of the Hugos. In 2006 Analog got two nominations:

Best Novelette: “TelePresence” by Michael A. Burstein [Analog Jul/Aug 2005]
Catherine is working on her physics homework in the family’s virtual reality room. When she makes a change in the Laws of Motion, the virtual reality goes wrong and attacks her. This leaves a murder mystery that protagonist Tony has to solve. The story presents questions about the role of education in our society.

Best Short Story: “Seventy-Five Years” by Michael A. Burstein [Analog Jan/Feb 2005]
This story is about the US Census. Senator Fitzgerald is proposing a bill to extend the time before full data is released because people are living longer. He is challenged by Isabel, who has deduced that Fitzgerald is a clone.

The winner for Best Novelette was a fantasy piece, “Two Hearts” by Peter S. Beagle [F&SF Oct/Nov 2005]

The winner for Best Short Story was “Tk’tk’tk” by David D. Levine [Asimov’s Mar 2005]
Walker, a human salesman, is trying to sell technology on an alien planet populated by giant, intelligent insects. He gets in trouble with everything from selling his computer systems and gadgets to paying for his hotel and running afoul of the local religious holiday. In the end he has an experience that makes him reevaluate his life.

What we’ve established so far seems to be the popularity of Michael A. Burstein in the early 2000s. He’s averaging two Hugo nominations a year. Doing a quick check, I see he’s been nominated 10 times for a Hugo, beginning with his first story for Analog–but never won.