In this shot, there is a heavy focus on perspective moving across the screen, and the colors are fantastic. The alignment of the chairs and lights coming from the left foreground and moving across to the middle right of the shot creates an enormous amount of depth. The characters are framed in the very center, but are not really the main focal point of this shot. They sort of just blend into the atmosphere of this cafe landscape. The contrast of color in this shot is one of best things about it, with the white lights against the almost black section of wall, and the red chairs, in line with the lights, across the white floor. This shot is incredible.
Again in this shot, there is a heavy use of perspective, this time focused on the center of the image. It is a wide angle shot of a bathroom and in the very center, we have Llewyn framed by the very dark doorway. This dark doorway is the focal point of the shot, being the darkest point standing out in the middle of light green and blue tones. Also the repetition of the stalls and urinals help create the depth and give the shot some asymmetry, balancing the left and right sides. With the dark doorway emerging from the center of the frame, and the centered perspective, this shot feels very horror-like feel.
I love silhouetted shots like this one. This medium shot is a great example of the rule of thirds, with the car aligned from the right all the way to the middle of the frame, and Llewyn occupying the center of the left half of the frame. The light coming from above, presumably the moon, is the only source of light in the shot. It creates a nice separation of the top and bottom of the image, and also creates the background that Llewyn is silhouetted against. Also, having the background lit like that, and that car driving in the background, keep the shot from feeling too flat because the character in the shot is just a black figure. Llewyn and the car also just fade into the bottom half of the frame into the blackness, and become part of the scenery.
Once more, we have a centered, perspective heavy shot. I chose this one because it is a repeated shot when he goes into the apartment buildings. This is is also comparably symmetrical than the bathroom image. Llewyn is framed in the center by two doors that split out from each other creating the illusion of depth. The door doors, expanding form the middle of the still are framed by the lit section of the white walls. Then the white section of the walls are framed by the unlit black portion of the walls, in the foreground of the image. This shot tiers in from foreground with the black bars on either side to the center focal point with the character. This shot, once again, has a strong contrast from the foreground and the middle ground that adds to the close atmosphere of this tight apartment complex.
This shot is another great example of the use of rule of thirds. It is a wide shot of a very dimly lit cafe, with all of the light being focused on the background of the image. The depth here is created from the lighting, having the foreground almost completely silhouetted against the lit stage. The background consists of Llewyn spotlit on stage, with another light off to the left that serves as a background for the people and pillar to sit against. Llewyn is framed in the middle of the right half, and the pillar in the middle of the left, contrasting the two sides of the shot. Also, having the people at the bottom and the roof at the top helps create and focus the attention to the main character.