<p>Academic-turned-teacher (but still doing research as a hobby), interested in mathematical logic - specifically, computability theory and reverse mathematics, set theory, and abstract model theory. I'm also interested in other Nifty Things, in mathematics and elsewhere.</p>
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<p>Since the SE system only allows temporary bounties, I am here informally &quot;perma-bountying&quot; the following ten questions, each for 500 points:</p>
<ul>
<li><p><strong>Geometry and topology</strong>:</p>
<ul>
<li><a href="https://mathoverflow.net/questions/358472/comparing-axiomatized-function-spaces">axiomatized function spaces</a></li>
</ul>
</li>
<li><p><strong>Model theory</strong>:</p>
<ul>
<li><p><a href="https://mathoverflow.net/questions/408178/non-rigid-ultrapowers-in-mathsfzfc">ultrapowers and automorphisms</a></p>
</li>
<li><p><a href="https://mathoverflow.net/questions/386478/how-many-steps-does-it-take-to-tarski-vaughtify-second-order-logic">second-order Tarski-Vaughtification</a></p>
</li>
</ul>
</li>
<li><p><strong>Descriptive set theory</strong>:</p>
<ul>
<li><p><a href="https://mathoverflow.net/questions/370283/what-sets-can-be-unraveled">unraveling and determinacy</a></p>
</li>
<li><p><a href="https://mathoverflow.net/questions/281240/is-the-banach-game-quantifier-intractable-beckers-guess">Banach game quantifier</a></p>
</li>
</ul>
</li>
<li><p><strong>Set theory</strong>:</p>
<ul>
<li><p><a href="https://mathoverflow.net/questions/350093/gently-changing-measure">gently changing measure</a></p>
</li>
<li><p><a href="https://mathoverflow.net/questions/409423/can-there-be-no-surprisingly-averageable-second-order-sentences">second-order properties and ultrafilters</a></p>
</li>
</ul>
</li>
<li><p><strong>Computability theory</strong>:</p>
<ul>
<li><p><a href="https://mathoverflow.net/questions/317262/a-strong-plus-one-hypothesis">strong +1 hypothesis</a></p>
</li>
<li><p><a href="https://mathoverflow.net/questions/258340/the-cone-property-in-the-enumeration-degrees">cone property and e-degrees</a></p>
</li>
</ul>
</li>
</ul>

Noah Schweber