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 2021/2022):**

Mathematics of Imaging in Real-Word Challenges

Mathematical image and data processing is a rapidly developing scientific field which involves an extremely rich spectrum of mathematical areas including inverse problems, mathematical optimization, harmonic and functional analysis, stochastics, partial differential equations and calculus of variations, geometry, morphology and topology. At the same time it requires interdisciplinary collaboration with computer scientists dealing with computer graphics, data visualization, machine learning and human-computer interaction as well as with researchers who determine the application-specific focus.

**Upcoming Thematic Einstein Semesters:**

**Past Thematic Einstein Semesters:**

- Network Games, Tropical Geometry, and Quantum Communication (Summer 2019)
- Algebraic Geometry: Varieties, Polyhedra, Computation (Winter 2019/20)
- Energy-Based Mathematical Methods for Reactive Multiphase Flows (Winter 2020/21)
- Geometric and Topological Structure of Materials (Summer 2021)