I want to do complex geometry in general, but I am not sure whether I want to do complex algebraic geometry or complex differential geometry. I think Stony Brook has a larger department and they have very good faculties in both complex differential and algebraic geometry whereas Northwestern has a smaller department but they do have several very active faculty members in differential geometry like Prof. Valentino Tosatti. Northwestern provides way more stipend as well but the expense at Chicago is certainly higher.

I just cannot decide T T

## Stony Brook vs Northwestern

### Re: Stony Brook vs Northwestern

For what it's worth, when I visited Northwestern, the students seemed uncertain about whether or not Mihnea Popa would be taking on any more students in the near future. Seeing as how there aren't that many algebraic geometers to begin with at Northwestern, at least for the very geometric side of algebraic geometry Stony Brook might offer more options. Within algebraic geometry, the department at Northwestern seems to be more slanted towards the derived setting over the complex geometric setting.

As for differential geometry, I'm certainly not super knowledgeable, but I know Stony Brook is a mecca for that sort of thing. If you're interested in the interface of PDE's and differential geometry, maybe they're comparable - but probably for most other flavors of differential geometry, Stony Brook is the better choice.

As for differential geometry, I'm certainly not super knowledgeable, but I know Stony Brook is a mecca for that sort of thing. If you're interested in the interface of PDE's and differential geometry, maybe they're comparable - but probably for most other flavors of differential geometry, Stony Brook is the better choice.

### Re: Stony Brook vs Northwestern

Thank you very much for that information! It is really unfortunate to hear that Popa might not be taking any student. Do you by any chance have any information about Prof. Valentino Tosatti?EGA wrote:For what it's worth, when I visited Northwestern, the students seemed uncertain about whether or not Mihnea Popa would be taking on any more students in the near future. Seeing as how there aren't that many algebraic geometers to begin with at Northwestern, at least for the very geometric side of algebraic geometry Stony Brook might offer more options. Within algebraic geometry, the department at Northwestern seems to be more slanted towards the derived setting over the complex geometric setting.

As for differential geometry, I'm certainly not super knowledgeable, but I know Stony Brook is a mecca for that sort of thing. If you're interested in the interface of PDE's and differential geometry, maybe they're comparable - but probably for most other flavors of differential geometry, Stony Brook is the better choice.

### Re: Stony Brook vs Northwestern

Have you spoken to Laura Demarco at Northwestern? Her research is Complex Geometry as well.

I emailed him about six months ago and this is what he told me as well. NU is stronger in Algebraic TopologyThe students seemed uncertain about whether or not Mihnea Popa would be taking on any more students in the near future

### Re: Stony Brook vs Northwestern

I am just admitted off the wait list，so I do not really think that I have time to talk to anyone. It is driving me crazy having to make a decision in such a short amount of time.djysyed wrote:Have you spoken to Laura Demarco at Northwestern? Her research is Complex Geometry as well.

I emailed him about six months ago and this is what he told me as well. NU is stronger in Algebraic TopologyThe students seemed uncertain about whether or not Mihnea Popa would be taking on any more students in the near future

### Re: Stony Brook vs Northwestern

Laura DeMarco's research, while certainly overlapping some aspects of complex geometry, is more focused on arithmetic dynamics. Apparently she has some very interesting/influential ideas, and the students all liked her quite a lot, but I wouldn't say her work is complex geometry. It certainly isn't differential geometry.keith wrote:I am just admitted off the wait list，so I do not really think that I have time to talk to anyone. It is driving me crazy having to make a decision in such a short amount of time.djysyed wrote:Have you spoken to Laura Demarco at Northwestern? Her research is Complex Geometry as well.

I emailed him about six months ago and this is what he told me as well. NU is stronger in Algebraic TopologyThe students seemed uncertain about whether or not Mihnea Popa would be taking on any more students in the near future

Unfortunately, I didn't gather any information about Valentino while I was there - but perhaps more aligned with your stated interests than DeMarco is Emmy Murphy. My impression is that she's building a pretty good reputation in the symplectic geometry world, and I sat in on one of her classes and felt she was quite good at communicating.

### Re: Stony Brook vs Northwestern

Yes, she is going to deliver a 45-minute speech at ICM this year.EGA wrote:keith wrote:Laura DeMarco's research, while certainly overlapping some aspects of complex geometry, is more focused on arithmetic dynamics. Apparently she has some very interesting/influential ideas, and the students all liked her quite a lot, but I wouldn't say her work is complex geometry. It certainly isn't differential geometry.djysyed wrote:Have you spoken to Laura Demarco at Northwestern? Her research is Complex Geometry as well.

I am just admitted off the wait list，so I do not really think that I have time to talk to anyone. It is driving me crazy having to make a decision in such a short amount of time.

Unfortunately, I didn't gather any information about Valentino while I was there - but perhaps more aligned with your stated interests than DeMarco is Emmy Murphy. My impression is that she's building a pretty good reputation in the symplectic geometry world, and I sat in on one of her classes and felt she was quite good at communicating.