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Steve Lack

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Examples of eventual counterexamples

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Fun applications of representations of finite groups

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Proof that no differentiable space-filling curve exists

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Robert Israel

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Injective ring homomorphism from $\mathbb{Z}_p[[x,y]]$ to $\mathbb{Z}_p[[x]]$

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Prominent non-mathematical work of mathematicians

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When (or why) is a six-functor formalism enough?

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Why are viscosity solutions useful solutions?

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How are motives related to anabelian geometry and Galois-Teichmuller theory?

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Can all convex polytopes be realized with vertices on surface of convex body?

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Why are they called isothermal coordinates?

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Experimental mathematics leading to major advances

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gowers

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A series of articles should be published all in the same journal, or in different journals?

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Global character of ABC/Szpiro inequalities

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Global character of ABC/Szpiro inequalities

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Will Sawin

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Are the real numbers isomorphic to a nontrivial ultraproduct of fields?

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How many quit mathematics because they (are afraid that they) can not find a permanent job?

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Paul Siegel

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Is Galois theory necessary (in a basic graduate algebra course)?

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Global character of ABC/Szpiro inequalities

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Peter Scholze

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Consequences of Kirti Joshi's new preprint about p-adic Teichmüller theory on the validity of IUT and on the ABC conjecture

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Kirti Joshi

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Consequences of Kirti Joshi's new preprint about p-adic Teichmüller theory on the validity of IUT and on the ABC conjecture

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Kirti Joshi

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What's a mathematician to do?

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Linear Algebra Texts?

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When is the set of zero divisors equal to the union of the minimal primes in a reduced ring?

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ifk

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Fundamental group of 3-manifold with boundary

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Why are quantum groups so called?

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Irreducibility of the polynomial $x^n+5x+3$ over $\mathbb{Q}$

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Will Sawin

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Clausen–Scholze's Theorem 9.1 of Analytic.pdf, in view of light condensed sets, AKA is the Liquid Tensor Experiment easier now?

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Peter Scholze

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Consequences of Kirti Joshi's new preprint about p-adic Teichmüller theory on the validity of IUT and on the ABC conjecture

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Kirti Joshi

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Is it known that the ring of periods is not a field?

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Parts of Set Theory immune to independence

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What's an example of a space that needs the Hahn-Banach Theorem?

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Mark Meckes

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Elevator pitch for the Virtual Fibering Theorem

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Does greedy circle packing exhaust the measure of every bounded open set in the plane?

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Fedor Petrov

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Triangulating surfaces

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Elevator pitch for the Virtual Fibering Theorem

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What are dessins d'enfants?

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Why does mathematics seem to have a polarity bias?

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References for "modern" proof of Newlander-Nirenberg Theorem

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What could be some potentially useful mathematical databases?

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Is a free alternative to MathSciNet possible?

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Motivation and physical interpretation of the Laplace transform

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How to compute KL-divergence when PMF contains 0s?

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Range of the Fourier transform on $L^1$

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Asymptotic approximation of $x^\alpha$ by entire functions

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Distance functions on elliptic curves over number fields

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Does a function from $\mathbb R^2$ to $\mathbb R$ which sums to 0 on the corners of any unit square have to vanish everywhere?

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Assuming the Collatz conjecture is false, what is known about the size of the false set?

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Wojowu

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Simplest examples of rings that are not isomorphic to their opposites

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Frieder Ladisch

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Is there a known Turing machine which halts if and only if the Collatz conjecture has a counterexample?

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Bjørn Kjos-Hanssen

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Hilbert's sixth problem and QFT description

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Pedro Lauridsen Ribeiro

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"Natural" undecidable problems not reducible to the halting problem

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Joel David Hamkins

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Examples of conjectures that were widely believed to be true but later proved false

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Claudio Gorodski

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Examples of conjectures that were widely believed to be true but later proved false

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Examples of conjectures that were widely believed to be true but later proved false

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Terry Tao

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Can $9xy$ divide $1+x^2+x^3+y^2$?

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Examples of conjectures that were widely believed to be true but later proved false

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Examples of conjectures that were widely believed to be true but later proved false

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Gerald Edgar

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Most elementary proof showing that exponential growth wins against polynomial growth

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Facts from algebraic geometry that are useful to non-algebraic geometers

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