This is a list of questions that I have not managed to solve yet, or that I think should be left to others. If you have any solution, total or partial, please contact me at `goubault (at) lsv.fr`

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I am looking for brilliant students in the field. Finding a solution to one of those problems may convince me that I should hire you!

I’ll update that list from time to time, adding new problems, removing solved problems, and so on. I am not offering any guarantee that this will change often!

- Ordinal heights of Noetherian spaces (difficulty: moderate; suitable for a good M2 or PhD student; posted 23 feb 2017)
~~FAC spaces (difficulty: pretty hard; suitable for an excellent PhD student; posted 23 feb 2017;~~solved 30 oct 2017, not that hard after all)- Topologies on spaces of Lipschitz Yoneda-continuous maps (difficulty: really tough; posted 23 feb 2017)
~~Full abstraction for languages with demonic and probabilistic choice (difficulty: moderate; suitable for a good M2 or PhD student; posted 08 nov 2017~~; can be considered solved, somehow; posted 4 feb 2019 [with some delay, sorry])*G*_{δ}subspaces of locally compact sober spaces (difficulty: high; posted 30 mar 2018)- Core-compact vs. locally compact, well-filtered vs. sober (difficulty: high; posted 5 fev 2019).