Timeline for Are there any undergraduate-friendly research areas in algebra? [closed]
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| when toggle format | what | by | license | comment | |
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| Feb 28 at 2:38 | comment | added | Steven Landsburg | The textbook you're reading (or any good textbook) surely contains some problem sets. Solve problems. Then experiment with variations on those problems, changing some of the hypotheses and seeing how your conclusions change. Try to find interesting families of alternative hypotheses and see if you get interesting families of alternative conclusions. At that point you are doing research. Probably it will duplicate research that others have already done, but so what? You're learning what research is like and you're learning to get good at it. | |
| Feb 28 at 0:35 | history | closed |
Sam Hopkins Daniele Tampieri Andy Putman Dave Benson Igor Belegradek |
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| Feb 28 at 0:31 | comment | added | Todd Trimble | I entirely agree with Andy. Why the rush to do write research papers so soon? I would start just by learning reams of mathematics, and let the discovery of what really grabs you occur naturally and organically. (And get to know a lot of mathematicians to boot.) Another avenue, which I believe is practiced at U Chicago (and Harvard in the past and maybe still now) is the senior paper where learns a nontrivial subject deeply to the point of being able to write a beautiful exposition of it. | |
| Feb 28 at 0:29 | answer | added | Joseph O'Rourke | timeline score: 0 | |
| Feb 27 at 23:55 | history | made wiki | Post Made Community Wiki by Todd Trimble | ||
| Feb 27 at 23:23 | answer | added | Marco Ripà | timeline score: 1 | |
| Feb 27 at 22:58 | comment | added | Andy Putman | In general, requests for personal advice are off-topic. I think that better than being dead-set on doing “research” it would be better to just be open to a wide variety of mathematical experiences depending on what is available locally. Most faculty do not direct undergraduate research, but there are often other kinds of enrichment available. | |
| Feb 27 at 20:50 | comment | added | Abdelmalek Abdesselam | How about studying the Honors Thesis by Geordie Williamson people.mpim-bonn.mpg.de/geordie/Hecke.pdf done by an undergraduate, and taking you straight into contemporary research. | |
| Feb 27 at 20:15 | history | edited | gmvh |
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| Feb 27 at 20:00 | review | Close votes | |||
| Feb 28 at 0:36 | |||||
| Feb 27 at 19:45 | comment | added | Sam Hopkins | Figuring out what to study is definitely something a mentor/advisor can help you with. Better to get advice from a mentor/advisor than random people on the Internet. MO is not a substitute for a mentor/advisor. I'm voting to close this question. Regardless, good luck in your studies! | |
| Feb 27 at 19:43 | history | asked | ofw2jopfpo2 | CC BY-SA 4.0 |