Transforming the World

through Mathematics

Topic Development Lab

Mathematics is not a static field of knowledge, but rather a multifaceted, dynamic, and expanding discipline, in which areas seemingly far from applications suddenly become indispensable and applications stimulate challenging foundational mathematical research. Moreover, many application-driven mathematical developments are also motivated and triggered by developments in other scientific and humanities fields.


The research agenda for MATH+ has not been fixed in advance for several years, but is designed to be dynamic. New fields and opportunities emerge over time, or need to be actively developed. The Topic Development Lab (TDL) is a central part of MATH+ that, based on this dynamic view of mathematics, provides a platform for developing new topics, for building bridges between different fields of mathematics (e.g., between “pure” and “applied”), and for reaching out to other areas of science and potential cooperation partners outside of mathematics. The main activity of the TDL consists of Thematic Einstein Semesters funded by the Einstein Foundation Berlin.


The current Thematic Einstein Semester (Winter 2019/20):


Algebraic Geometry: Varieties, Polyhedra, Computation


The semester is devoted to interactions of algebraic geometry with other fields as well as applications with a potential impact from/on algebraic geometric methods.

Over the past decade, algebraic geometry has found applications in computer science, biology, and engineering, in optimization and statistics. There has been dramatic progress in our ability to practically solve polynomial systems numerically – with Berlin playing a leading role.

The organizers of the 2nd Thematic Einstein Semester (TES), Peter Bürgisser (TU Berlin), Gavril Farkas (HU Berlin) and Christian Haase (FU Berlin), invite you to help find out what algebraic geometry can do for you and what you can do for algebraic geometry.



Overview of all confirmed Thematic Einstein Semesters:


  1. Network Games, Tropical Geometry, and Quantum Communication (Summer 2019)
  2. Algebraic Geometry: Varieties, Polyhedra, Computation (Winter 2019/20) 
  3. Geometric and Topological Structure of Materials (Summer 2020)
  4. Energy-Based Mathematical Methods for Reactive Multiphase Flows (Winter 2020/21)