Mathematics Research Hub
Dedicated research pages for the core domains of mathematics. Each hub
bundles publications from arXiv,
zbMATH Open, Semantic Scholar,
OpenAlex, and Crossref —
with its own llms.txt for AI agents.
Search runs against the public arXiv full-text index. To search zbMATH reviews instead, use the zbMATH Open portal.
Foundations
Mathematical logic, set theory, model theory, proof theory, and category theory. Research from the axiomatic heart of mathematics.
Algebra
Abstract algebra, number theory, algebraic geometry, Lie theory. The language of mathematical structure — from Galois theory to the Langlands program.
Analysis
Differential equations, functional analysis, operator algebras, dynamical systems. The machinery of continuous change and the spaces on which it acts.
Geometry & Topology
Differential geometry, algebraic and geometric topology, metric and symplectic geometry. From Riemann to Perelman and the geometrization program.
Probability & Statistics
Probability theory, stochastic analysis, ergodic theory, statistical theory. The mathematics of uncertainty — from random walks to modern machine learning.
Applied Mathematics
Numerical analysis, optimization, combinatorics, information theory, mathematical physics. Mathematics that meets computation and the physical world.
Data sources
Free, open APIs that power every research hub.
arXiv API
The preprint server for mathematics and physics. Atom-XML API at
export.arxiv.org/api/query, public and open.
zbMATH Open
Bibliographic database specifically for mathematics, with expert
reviews. Open since 2021, REST API at api.zbmath.org.
Semantic Scholar
Citation graph, TLDRs, open-access indicators. JSON REST at
api.semanticscholar.org, free tier available.
OpenAlex
240M+ scholarly works, successor to Microsoft Academic Graph.
JSON REST at api.openalex.org, unlimited usage.
Crossref
DOI registry with 140M+ records. REST at api.crossref.org,
free for metadata access.
CORE & DOAJ
Open-access aggregators. CORE indexes 200M+ records, DOAJ curates verified open journals.
Docs →