The first assignment is available here:

Please turn solutions in no later than **5 pm on Thursday, October 13th**. You can either email solutions to keenan@cs.caltech.edu or deposit them outside 329 Annenberg.

The best way to get help is to leave a comment on this blog post! This way other students can benefit from your questions as well. However, if you’d prefer to discuss the material in private you can email keenan@cs.caltech.edu or come to office hours (time and location TBD).

For problem 2.2 do we just need to algebraically show those lower bounds or do we also need to show that those bounds are tight, i.e. that there exist surfaces attaining those numbers? For instance, in order to do this problem fully rigorously we would need to give a generic construction (for any g >= 2) of a surface with only 1 irregular valence vertex. But I’m not sure if this is what you’re asking for.

Thanks!

Just algebraically, though it’s fun (and actually not too hard) to come up with an explicit construction – maybe easiest to see by considering the

fundamental polygonof the surface.