CBG – Homepage - CEPID CBG

Research
- Applications of Geometry (ApliGeo)
  Develops the use of geometric principles to solve real-world problems.
  Education, Outreach and Innovation (ED&I)
  Brings together initiatives focused on training, dissemination, and the social impact of geometric knowledge.
  Algebraic Geometry (GeoAlg)
  Explores the universe of complex projective varieties, with a focus on their birational classification.
  Differential Geometry (GeoDif)
  Explores the interaction between geometry and physics, investigating the properties and applications of geometric structures.
Courses and Seminars
- Coming Soon
Announcements
Publications
Discover CBG
- Principal Researchers
- Associate Researchers
Contact

CEPID CBG

Discover the Brazilian Center for Geometry

CBG addresses fundamental challenges in the geometric sciences, advances theoretical frontiers, develops new educational tools, and fosters synergies.

Researchers

250

Planned Fellowships

Its goal is to promote a genuinely interdisciplinary collaborative environment with lasting scientific, technological, and educational impact.

Conduct Research with Us
Learn how to participate

Verticals

CBG Thematic Verticals

Applications of Geometry (ApliGeo)

Studies and applies geometry to real-world problems, modeling shapes, structures, and phenomena in areas such as architecture, design, computer graphics, navigation, physics, and biology. It employs advanced principles and techniques — from the geometry of proteins to spacetime modeling — to understand complex phenomena in biology, computing, physics, and communications.

Education, Outreach and Innovation (ED&I)

Brings together initiatives focused on training, dissemination, and the social impact of geometric knowledge. It develops innovative curricula, teaching materials, and continuing education programs for teachers, as well as science communication strategies for diverse audiences. Its focus is to broaden access to geometric thinking, support evidence-based educational policies, and strengthen the presence of Mathematics in society.

Algebraic Geometry (GeoAlg)

Investigates geometric solutions to polynomial equations, connecting algebra, geometry, and arithmetic, with applications in number theory and cryptography. It explores complex projective varieties, particularly their birational classification, and develops innovative algebraic–geometric codes that advance information theory.

Differential Geometry (GeoDif)

Studies geometric structures through differential calculus, investigating local and global properties with applications in physics and engineering. It focuses on understanding the interaction between geometry and physics, with emphasis on geometric flows and variational problems. It seeks to reveal new insights into energy functionals, critical point theory, and topological properties of manifolds.