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Introductory References for Geometric Representation Theory

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Siddharth Venkatesh

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For consecutive primes $a\lt b\lt c$, prove that $a+b\ge c$.

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Bavid

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When can an invertible function be inverted in closed form?

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P. Carr

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Additive Subgroups of the Reals.

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Alex

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Are compact topological $n$-manifolds recursively enumerable?

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Eric S.

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Stacks and sheaves

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Andrea Ferretti

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Applications of PDE in mathematical subjects other than geometry & topology

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timur

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Defining computable functions categorically

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N. Virgo

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Are there Ricci-flat riemannian manifolds with generic holonomy?

Awarded May 27 at 19:42

José Figueroa-O'Farrill

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Formal geometry

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David Jordan

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For a finite set A of positive reals, prove that the set A + A - A contains at least as many positive as negative elements

Awarded May 25 at 9:11

Timo Reichert

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Is there an accessible exposition of Gelfand-Tsetlin theory?

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Ben Webster♦

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Are there any fields of academic mathematics whose epistemic status as math is controversial within the academic community?

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tparker

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Does the forgetful functor {Hopf Algebras}→{Algebras} have a right adjoint?

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Anton Geraschenko

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What is the shape of the perfect coffee cup for heat retention assuming coffee is being drunk at a constant rate?

Awarded May 21 at 9:48

Michael McLaughlin

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Parametrization of the boundary of the Mandelbrot set

Awarded May 20 at 18:34

David Richter

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Orthogonal vectors with entries from $\{-1,0,1\}$

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Nathaniel Johnston

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Clausen's modified Hodge Conjecture

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Jan

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Compact open topology

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Suman

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Book Recommendation - PDE's for geometricians / topologists

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Yaniv Ganor

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L1 distance between gaussian measures

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robin girard

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Non-isomorphic finite simple groups

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Portland

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What's an example of a function whose Taylor series converges to the wrong thing?

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Eric Wilson

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Quickly determining if a matrix has any PSD completion

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Paul Christiano

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Decidability of 3 body problem

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Peter Gerdes

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Compact embeddings of Sobolev spaces: a counterexample showing the Rellich-Kondrachov theorem is sharp

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NPC

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(post deleted or otherwise unavailable)

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Jan

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Intuition behind generic points in a scheme

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ssquidd

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Does constructing non-measurable sets require the axiom of choice?

Awarded Apr 26 at 13:05

Mark Bell

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Algorithms for calculating R(5,5) and R(6,6)

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Emile Okada

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Famous examples of "serendipity" in 20th century mathematics

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Shijie Gu

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History of Koszul complex

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Sasha Pavlov

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What is the smallest size of a shape in which all fixed $n$-polyominos can fit?

Awarded Apr 20 at 12:04

a3nm

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A little number theoretic game

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Leif Sabellek

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Almost orthogonal vectors

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Matthew Daws

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A holomorphic function sending integers (and only integers) to $\{0,1,2,3\}$

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user1950

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Are there (enough) injectives in condensed abelian groups?

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Maxime Ramzi

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Conjectures inspired by AI

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Thomas Sauvaget

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Can you have a type theory where there is type of all types?

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PyRulez

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Erdős-Szekeres for first differences

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Seva

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To prove irrationality, why integrate?

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Timothy Chow

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Learning Topology

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Sherif

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A possible generalization of the homotopy groups.

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Daniel Miller

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The meaning and purpose of "canonical''

Awarded Mar 30 at 21:42

Monroe Eskew

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Can we find strong fixed-points in the fixed-point lemma of Gödel's incompleteness theorem, that is, where the fixed point is syntactically identical to its substitution instance rather than merely provably equivalent to it?

Awarded Mar 30 at 16:56

Joel David Hamkins

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Do mathematicians rely on senses other than vision and hearing?

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Shijie Gu

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Reading list recommendation for a hep-ph student to start studying QFT at a more mathematically rigorous level?

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Qi Tianluo

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On the history of the Artin Reciprocity Law

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Asvin

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Two polynomials which are "completely" coprime

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Konstantinos Gaitanas

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Are $\mathbb{C}$ and $\overline{\mathbb{Q}}_p$ isomorphic?

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Minhyong Kim

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Can we three-color a tiling of the plane with Smith, Meyers, Kaplan, and Goodman-Strauss's einstein?

Awarded Mar 24 at 11:55

Mark S

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Proofs of Jacobi's four-square theorem

Awarded Mar 23 at 17:07

H A Helfgott

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Is there a convenient differential calculus for cojets?

Awarded Mar 23 at 8:36

Toby Bartels

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Hodge theory (after Deligne)

Awarded Mar 22 at 13:18

THC

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What is the smallest group not known to be a Galois group over $\mathbb{Q}$?

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Joachim König

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Can a real quartic polynomial in two variables have more than 4 isolated local minima?

Awarded Mar 21 at 17:57

Jap88

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is the category of coherent sheaves some kind of abelian envelope of the category of vector bundles?

Awarded Mar 16 at 15:12

John Salvatierrez

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A metric characterization of the real line

Awarded Mar 16 at 5:05

Taras Banakh

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Is there a database somewhere for sharing translations of mathematical works?

Awarded Mar 13 at 17:51

j0equ1nn

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Broader impacts and synergistic activities

Awarded Mar 13 at 1:19

Ben Webster♦

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