Math rock is my favorite genre of music. There are many variations of it; some that fall towards progressive rock, metal, and complete absurdity; however, I particularly really like the jazzy ones. What makes math rock special are its characters characterized by complex, atypical rhythmic structures (including irregular stopping and starting), counterpoint, odd time signatures, angular melodies, and extended, often dissonant, chords defined by wikipedia.
What I love the most about math rock is that it allows for very dynamic emotions to be explored. A great example is Toe's Goodbye
https://www.youtube.com/watch?v=e0RWnzd_b_k expressing the emotions of sadness, loss, pain, redemption, courage, love, desire, and beauty. If you don't like the female vocal there is a version without her. Another great example is Elephant Gym's D from the album Work
https://www.youtube.com/watch?v=VyrWacaTgIY For a more relaxing jazzy one and another favorite is Clever Girl's No Drum and Bass in the Jazz Room
https://www.youtube.com/watch?v=9ANzhPJZ2U0&t=720s Also check out
https://www.youtube.com/watch?v=DCkIsAdMFlQ this live performance from Elephant Gym of Finger, a reference to Toe by the way.
