Like the title said, I'm applying for faculty positions. I am finishing a 3 year post-doc. I have strong support from my post-doc advisor and other profs we collaborated with. I have no problem getting three solid references. I've always struggled with my PhD advisor though. He was once important in the field, but he rarely publishes peer-reviewed research lately. I actually got my post-doc without his letter.
I'm considering applying without his letter to faculty positions. Anybody have similar experiences or advice? I'm baffled by my problems with my PhD advisor. I actually did publish with him, and even won awards.