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What Are Some Naturally-Occurring High-Degree Polynomials?

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John Stillwell

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Is there a form of choice that can elude Kunen's inconsistency theorem?

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Gabe Goldberg

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What is this modified arithmetico-geometric mean function?

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Carlo Beenakker

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Where did this theorem appear?

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Thomas Bloom

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How is representation theory used in modular/automorphic forms?

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Richard Borcherds

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Is there an “opposite” hypothesis to the (Generalized) Continuum Hypothesis?

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Joel David Hamkins

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What's the idea behind Carleman estimates?

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Christian Clason

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Algebraic geometry used "externally" (in problems without obvious algebraic structure).

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Allen Knutson

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When is the torsion subgroup of an abelian group a direct summand?

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Gjergji Zaimi

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Completeness vs Compactness in logic

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Joel David Hamkins

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What is the optimal constant for $\|f\|_{L^\infty}\leq C\|f\|_{L^2}^{1/2}\|f'\|_{L^2}^{1/2}$?

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Pietro Majer

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Are proper linear subspaces of Banach spaces always meager?

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Tony Prochazka

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Implications and consequences of the recent proof of the geometric Langlands conjecture

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David Ben-Zvi

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Diophantine equation $3^n-1=2x^2$

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Wojowu

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What does Yang-Mills and mass gap problem has to do with mathematics?

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Aaron Bergman

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Where is number theory used in the rest of mathematics?

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Denis Serre

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What is the etymology for the term conductor?

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KConrad

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Lost soul: loneliness in pursing math. Advice needed.

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Sinan Sertoz

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Homological Algebra texts

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Andreas Holmstrom

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To prove irrationality, why integrate?

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Kostya_I

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Independence of PA implies independence of PA union all true $\Pi_1$ statements

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Joel David Hamkins

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Why is it so difficult to define constructive cardinality?

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Andrej Bauer

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Is this a bad moment for a math career?

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Will Sawin

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When must it be sets rather than proper classes, or vice-versa, outside of foundational mathematics?

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Terry Tao

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Introductory text on Galois representations

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David Loeffler

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When do binomial coefficients sum to a power of 2?

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Max Alekseyev

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Reference request of quote about Gromov

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Carlo Beenakker

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What is the general opinion on the Generalized Continuum Hypothesis?

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François G. Dorais

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Interesting results in algebraic geometry accessible to 3rd year undergraduates

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Qiaochu Yuan

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A simple-looking inequality for orthogonal vectors

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Peter Mueller

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How does the mathematical community handle minor, non-critical errors in published papers?

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Timothy Chow

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Is the probability inequality $\mathrm{Var}(X)\ge E(X)E(1/X)-1$ for $X\ge 1$ true?

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Random

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Isomorphism between Spin(3,2) and Sp(4, R)

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user36938

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Functions of $\mathbb{R}^d$ preserving convexity of sets

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Strichartz estimates in Bourgain's 1999 JAMS paper

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Terry Tao

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What are some examples of colorful language in serious mathematics papers?

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jasomill

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To what extent can you reconstruct finite groups from their representations?

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Will Sawin

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Can a smooth function hide a point from the origin?

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Saúl RM

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A map inducing isomorphisms on homology but not on homotopy

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John Klein

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Is every real number the limit of a sequence of irrational numbers, constructively?

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Gro-Tsen

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Parity and the Axiom of Choice

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bof

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Is there a complex which computes Čech cohomology?

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Dustin Clausen

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The Lucas argument vs the theorem-provers -- who wins and why?

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Andrej Bauer

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Are there examples of conjectures supported by heuristic arguments that have been finally disproved?

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Mark S

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Proofs without words

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O.R.

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$\mathbf{P} = \mathbf{NP}$, what's the problem?

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gnasher729

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History of the high-dimensional volume paradox

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Barry Cipra

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What was the error in the proof about kissing numbers in Proofs from the Book

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Günter M. Ziegler

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Is there much difference between Kronecker's and Dedekind's methods in algebraic number theory and commutative algebra?

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KConrad

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LMS Lectures on Geometric Langlands

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David Ben-Zvi

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Connectedness in the language of path-connectedness

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Joseph Van Name

Connectedness in the language of path-connectedness

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Helene Sigloch

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Does seeing beyond the course you teach matter? The case of linear algebra and matrices

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Timothy Chow

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What are the applications of hypergraphs?

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Charles Stewart

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Who wrote up Banach's thesis?

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Alexandre Eremenko

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Does every set admit a ring structure or a field structure?

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Joel David Hamkins

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A question about subsets of plane

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YCor

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Is $\mathrm{Graph}$ cartesian-closed?

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Tim Campion

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Field complete with respect to inequivalent absolute values

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KConrad

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What to do now that Lusztig's and James' conjectures have been shown to be false?

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Jim Humphreys

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