INSTITUTE OF MATHEMATICS OF THE NATIONAL ACADEMY OF SCIENCES OF UKRAINE

Their core work

The Institute of Mathematics of the National Academy of Sciences of Ukraine (IM NASU) is a fundamental and applied mathematics research institute based in Kyiv, operating under Ukraine's premier scientific body. Their core work covers mathematical analysis, spectral theory, and operator theory — the kind of rigorous mathematical foundations that underpin advances in quantum physics, materials science, and computational modelling. In H2020 projects, they contributed specialist mathematical expertise to international MSCA-RISE consortia: first in approximation methods applied to molecular modelling and biomedical diagnostics (AMMODIT), then in spectral optimization bridging pure mathematics with metamaterials and advanced technology (SOMPATY). For collaborators, they represent a source of deep mathematical theory that engineering-heavy partners cannot provide in-house.

What they specialise in

How they've shifted over time

In their earlier H2020 participation (AMMODIT, 2015–2019), IM NASU's focus was on computational and approximation methods applied to practical problems in molecular modelling and medical diagnostics — a relatively applied direction for a pure mathematics institute. Their more recent work (SOMPATY, 2020–2025) moved toward deeper mathematical physics: spectral theory, Schrödinger operators on graphs, singular potentials, and metamaterials — all topics sitting at the intersection of abstract mathematics and quantum-era technology. The shift signals a deliberate move from computational applications toward foundational theoretical contributions that feed emerging technology domains.

IM NASU is moving deeper into spectral and quantum-mechanical mathematics, positioning them as a theoretical partner for consortia working on quantum technologies, metamaterial design, and next-generation physics-informed computing.

How they like to work

IM NASU has not led any H2020 projects — both participations were as partner or third party within MSCA-RISE staff exchange networks, where they provide specialist mathematical expertise rather than project coordination. Despite only two projects, they have accumulated 12 unique consortium partners across 10 countries, which is high for this project count and reflects the broad international networks typical of MSCA-RISE. They work best when brought in to supply mathematical depth that other consortium members lack, rather than to manage deliverables or dissemination.

IM NASU has connected with 12 distinct partners across 10 countries through just 2 MSCA-RISE projects, indicating participation in well-connected European mathematics and physics networks. Their reach is primarily pan-European, consistent with the MSCA-RISE model of researcher exchanges between universities and institutes across multiple countries.

What sets them apart

IM NASU is one of the few Ukrainian national academy mathematics institutes with documented H2020 engagement, carrying the strong Eastern European tradition in mathematical analysis and operator theory into European collaborative research. They occupy a rare niche: pure mathematics expertise with demonstrated willingness and capacity to connect that work to applied problems in physics, materials, and biomedical modelling. For a consortium that needs rigorous mathematical theory — not just simulation or engineering — they offer a depth that most applied research partners cannot replicate.

Highlights from their portfolio

• SOMPATY
  Spans the full range from abstract spectral mathematics (Schrödinger operators, graphs, perturbation theory) to applied physics and metamaterials technology — an unusually wide bridge for a single mathematics project.
• AMMODIT
  Demonstrates the institute's capacity to apply pure approximation mathematics to biomedical problems (molecular modelling, diagnostics), showing cross-domain reach beyond traditional physics applications.