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Organization

INSTYTUT MATEMATYCZNY POLSKIEJ AKADEMII NAUK

Poland's leading pure mathematics institute, specializing in algebraic geometry, group rigidity, and homotopy theory through ERC-funded research.

Research institutesocietyPLSME
H2020 projects
4
As coordinator
4
Total EC funding
€2.2M
Unique partners
20
What they do

Their core work

IMPAN is Poland's premier pure mathematics research institute, part of the Polish Academy of Sciences. They specialize in advanced algebraic geometry, topology, and group theory — areas that form the theoretical backbone for fields ranging from cryptography to quantum computing. Their H2020 work focuses on deep mathematical structures including rigidity theory, homotopy theory, and the geometry of algebraic varieties, consistently securing prestigious ERC Starting Grants for their researchers.

Core expertise

What they specialise in

Algebraic geometry and homotopy theoryprimary
2 projects

KAPIBARA (ERC-STG) investigates etale homotopy, wild ramification, perfectoid spaces, and anabelian geometry; GEOGRAL studied Grassmannian Lagrangian manifolds.

Group rigidity and higher index theoryprimary
1 project

INDEX (ERC-STG) focuses on Kazhdan's property (T), spectral gap, Baum-Connes conjecture, and cohomology of groups.

Quantum dynamics and geometric methodssecondary
1 project

QUANTUM DYNAMICS project explored new geometric approaches to quantum dynamics via MSCA-RISE international collaboration.

Differential geometry and Lagrangian submanifoldssecondary
1 project

GEOGRAL (MSCA-IF) studied geometry of Grassmannian Lagrangian manifolds with applications to nonlinear problems.

Evolution & trajectory

How they've shifted over time

Early focus
Differential geometry and quantum dynamics
Recent focus
Algebraic homotopy and arithmetic geometry

IMPAN's early H2020 projects (2015–2017) centered on differential geometry and quantum dynamics, using smaller Marie Skłodowska-Curie fellowships and mobility schemes. From 2016 onward, the institute shifted toward deeper algebraic and topological structures — first with group rigidity and index theory (INDEX, 2016), then with algebraic homotopy and arithmetic geometry (KAPIBARA, 2019). The trend is clear: moving from applied geometric questions toward increasingly abstract and foundational mathematics, backed by larger ERC Starting Grants.

IMPAN is deepening its focus on foundational algebraic geometry and arithmetic topology, positioning itself at the frontier of areas with growing relevance to post-quantum cryptography and topological data analysis.

Collaboration profile

How they like to work

Role: consortium_leaderReach: European11 countries collaborated

IMPAN exclusively coordinates its H2020 projects — all four are led by the institute, indicating strong PI-driven research leadership rather than a consortium-follower approach. Their projects span both small MSCA fellowships (individual researchers) and larger ERC grants, suggesting they attract top mathematical talent who bring their own funding. With 20 unique partners across 11 countries, they maintain a broad but research-community-focused network typical of elite mathematics institutes.

IMPAN has collaborated with 20 distinct partners across 11 countries, reflecting the internationally distributed nature of pure mathematics research. Their network is broad and European-wide, built through researcher mobility (MSCA) and ERC-funded team collaborations rather than large industrial consortia.

Why partner with them

What sets them apart

IMPAN is one of Central-Eastern Europe's most respected pure mathematics institutes, with a legacy stretching back to 1948 and a tradition of producing world-class algebraic and geometric research. Their ability to consistently win ERC Starting Grants — the most competitive individual researcher funding in Europe — signals exceptional talent density. For consortium builders needing rigorous mathematical foundations (e.g., in cryptography, quantum information, or topological methods), IMPAN offers depth that few institutions in the region can match.

Notable projects

Highlights from their portfolio

  • KAPIBARA
    Largest grant (EUR 1M ERC-STG) running until 2026, tackling perfectoid spaces and wild ramification — among the hottest topics in modern arithmetic geometry.
  • INDEX
    ERC-STG grant on group rigidity and the Baum-Connes conjecture, a central open problem in noncommutative geometry with implications for quantum physics and operator algebras.
Cross-sector capabilities
Cryptography and post-quantum security (algebraic geometry foundations)Quantum computing theory (group theory, operator algebras)Topological data analysis (homotopy theory methods)Mathematical modeling for physics and engineering
Analysis note: Profile based on 4 projects, all in pure mathematics. The SME flag appears to be a data artifact — IMPAN is a national academy institute, not a small enterprise. Two early projects lack keywords, limiting the early-vs-recent evolution analysis. Cross-sector capabilities are inferred from mathematical applicability rather than demonstrated project involvement in those sectors.