Please analyze this 9x9 game I played last night.

I (black) resigned.

I'm open to suggestions for every move, especially how to play after move 9.

I thought white should cut at 31 and black should connect at 37.

43 should be at E1. Try playing it out. You should find that you can simply win the capturing race.

Reposting here so others can view easily.

_________________
We don't know who we are; we don't know where we are.
Each of us woke up one moment and here we were in the darkness.
We're nameless things with no memory; no knowledge of what went before,
No understanding of what is now, no knowledge of what will be.

Thanks Dusk Eagle.
Thanks amnal-- That confirms my idea that B37 is fine and black can allow the cut. Is connect better than B37?
Any improvements to the way I played before that?

A few comments. Take with some delicious salt, I have no idea if these things are the most important, though they're probably accurate.

Also, I'm not sure if you noticed, but your bottom left shape was not alive for several moves. White B2 would just kill easily.

I've added several comments to your game (I haven't looked at amnal's review yet, so our thoughts are completely independent of each other's). Toward the end things get deliciously complex, as all good 9x9 games should, but I've tried to cover a few variations there, even though I'm not sure about the answers .

_________________
We don't know who we are; we don't know where we are.
Each of us woke up one moment and here we were in the darkness.
We're nameless things with no memory; no knowledge of what went before,
No understanding of what is now, no knowledge of what will be.

I like your B5 also.
Your B15 is much better.
The idea behind your B25 variation would be to give up the two stones on top? Do you think C8 is correct?
Question for both of you: What about B35 at A2 instead?