Differential GeometryUnder Review
On the Convergence of Infinite Series in Non-Euclidean Spaces
A proposed extension of Cauchy's convergence criterion to hyperbolic manifolds, with applications to differential geometry.
Open Theorems — Expert Proof Verification
Every Great Theorem Begins With a Question.
Tired of your theories not proving true? Tired of every math genius saying you’re an idiot? Welcome to Kade’s Law, a place were you can submit your theories to me and I will find some way to make sure your math proves true!
The Process
01
Submit
Present your theory with a full proof, abstract, and supporting notation. LaTeX and formal mathematical language accepted.
02
Review
Your submission enters a rigorous examination process. Every axiom, lemma, and logical step is scrutinised with precision.
03
Verdict
Receive a definitive expert verdict — proven correct, disproven with counterexample, or flagged for further development.
Recent Submissions
Number TheoryProven
A New Bound for the Distribution of Prime Gaps
This paper proposes a tighter asymptotic bound for consecutive prime gaps, building on the work of Zhang and Maynard.
TopologyPending
Topological Invariants in Quantum Knot Theory
An exploration of novel topological invariants arising from quantum group representations applied to knot polynomials.
“Mathematics is the language in which God has written the universe.”
— Galileo Galilei
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Join the mathematicians who have submitted their work to Open Theorems for rigorous, expert-led proof verification.