Mathematics, at the frontier. on Association for Mathematics & Natural Sciences

New paper: persistent homology signatures in small neural networks

Mon, 14 Sep 2026 00:00:00 +0000

We show that simple persistent-homology features correlate strongly with generalization in small feedforward networks.

Working with Green Circle on institutional design

Tue, 02 Jun 2026 00:00:00 +0000

We are helping greencirc.instmat.org design its publication infrastructure and editorial process.

Summer school 2026 — save the date

Wed, 18 Mar 2026 00:00:00 +0000

A week of topology, number theory, and experimental mathematics in Kavadarci.

About

Mon, 01 Jan 0001 00:00:00 +0000

Our mission

The Mathematicians & Natural Sciences Association is a research-active citizens’ association based in Kavadarci, North Macedonia. We work on the frontiers of pure and applied mathematics — and we help other math and science organizations build solid foundations, from governance to tooling to public communication.

We believe good mathematics deserves good infrastructure. That is why we run our own research programs and support other organizations doing the same.

Contact

Mon, 01 Jan 0001 00:00:00 +0000

The fastest way to reach us is by email. We read every message and reply within a few working days.

Write to us

Email: drustvomatematicari@gmail.com

Please include:

your name and organization (if any),
what you’re writing about, and
how we can reach you.

Other details

Phone: +389 75 317 033
Address: Nikola Minchev 15-2/4, Kavadarci, North Macedonia
EMBS: 7911793

What we reply to

Collaboration and research enquiries
Requests for help with your organization
Press and institutional questions
Anything else — we’ll route it to the right person

For Organizations

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We help math and science organizations get off the ground — and run well once they are. Our work sits at the intersection of mathematics, operations, and communication.

What we offer

Governance & legal setup — statute, board structure, registration, compliance.
Operations & tooling — repositories, CI, documentation, hosting, identity.
Communications & web — bilingual websites, publishing workflows, brand.
Fundraising & grants — proposal drafting, reporting, and funder relations.

Organizations we’ve helped

gramath.org

North Macedonia’s mathematics outreach network. We helped with governance structure, the public website, and the operating model that lets a small volunteer team run a national program.

Research

Mon, 01 Jan 0001 00:00:00 +0000

We work across pure and applied mathematics, with an emphasis on computable, explorable, and honest mathematics. Our interests cluster around a few connected areas.

Topology

Persistent homology, applied topology, and the computational side of algebraic topology. We are particularly interested in what topological invariants can tell us about high-dimensional data.

Neural Networks & AI

Expressivity, generalization, and the mathematics of why neural networks work. We study the interplay between architecture, data geometry, and learnability — with a bias toward results that are testable.