Graphic novel about a man and a dog talking about philosophical topics and going on adventures

Question

I read this graphic novel a few years ago when I was in elementary school, I remember very little of it so it might be difficult.

The book is a collection of individual comics, the stories in each small comic are mostly unrelated to the other ones. The main character is man and his dog. In each comic, they seem to be in different places, some of the places seem normal-ish, some are other-worldly and some are almost surreal. The man and his dog often talk about philosophical questions together, related or unrelated to the scene they are in.

These are the things I'm sure of, other details I remember are likely incorrect, take them with multiple grains of salt:

1. The main character wears something on his head? A cap? A hat? A hoodie?
2. The title of the book might be the name of the dog or the man.
3. There might have been a girl trapped in a bubble of some sorts in one of the places the man went to, and the man might have fell in love with her?
4. The art style might have been smooth, the drawing of the man is kinda plump and short.

EDIT: The name of the man might be Cooper?????

Answer 1

The book is Copper by Kazu Kibuishi, a comic first published in YOLK, an Asian-American culture magazine, and later continued online, and then released in book format.

Copper is a webcomic I started shortly after the terrorist attacks on the World Trade Center in New York City on September 11th, 2001. I drew a picture of a scared, quiet, but calm kid, and I decided to write a story about him and his fearful dog, Fred. Scroll down to the bottom to read the very first Copper comic, “Rocket Pack Fantasy”.

Thank you Ayshe :)