What's new
On the Hodge conjecture
A Severe Misalignment of AI in Mathematics
On the existence of non-sofic groups
SAIR competition: Andrews-Curtis challenge
Stable singularity of the Euler equations on R^3
Crowdsourcing a list of general resources on AI and mathematics
Finite time blowup with smooth forcing term for the incompressible porous medium, Boussinesq, and incompressible Euler equations
Rotating needles in space: the road to the Kakeya conjecture, and why it matters
Mathematical Discourse
Quantitative bounds for sets lacking polynomial progressions with shifted prime difference
Palomar – a registry of Lean verified mathematics
A digestion of the proof of Sendov’s conjecture
A partial digestion of the HRT counterexample
A digestion of the Jacobian conjecture counterexample
Two more apps: visualizing the zeta process and the motions of the heavens
Visualizing the Gilbreath expectation sequence
Call for long programs, workshops, and summer schools at IPAM
A paper diagram visualizer
A random variable visualizer
Old and new apps, via modern coding agents
Gilbreath’s conjecture: a Cramér random model and a deterministic analysis
A digestion of unit distance constructions
Third SAIR competition: inverse Galois challenge
On the proposed rule changes to the administration of federal grants
Modular Arithmetic Challenge
Primitive sets and von Mangoldt chains: Erdős Problem #1196 and beyond
Products of consecutive integers with unusual anatomy
Mathematical methods and human thought in the age of AI
Local Bernstein theory, and lower bounds for Lebesgue constants
Mathematics Distillation Challenge – Equational Theories
SLMath Deputy Director Search
Six Math Essentials
IPAM industrial short course in generative AI algorithms – deadline for applications closing soon
A crowdsourced repository for optimization constants?
Rogers’ theorem on sieving
The integrated explicit analytic number theory network
Polynomial towers and inverse Gowers theory for bounded-exponent groups
The maximal length of the Erdős–Herzog–Piranian lemniscate in high degree
The Equational Theories Project: Advancing Collaborative Mathematical Research at Scale
The story of Erdős problem #1026
Quantitative correlations and some problems on prime factors of consecutive integers
Growth rates of sequences governed by the squarefree properties of its translates
Call for industry sponsors for IPAM’s RIPS program
Climbing the cosmic distance ladder: another sample chapter
Sum-difference exponents for boundedly many slopes, and rational complexity
New Nikodym set constructions over finite fields
Mathematical exploration and discovery at scale
Smooth numbers and max-entropy
A crowdsourced project to link up erdosproblems.com to the OEIS
SLMath announces new research programs
Rough numbers between consecutive primes
Salem Prize now accepting nominations for 2025
Decomposing a factorial into large factors (second version)
On the number of exceptional intervals to the prime number theorem in short intervals
A Lean companion to “Analysis I”
Some variants of the periodic tiling conjecture
A tool to verify estimates, II: a flexible proof assistant