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 2022/23):**

The collaborative Thematic Einstein Forum *Scales of Temporality: Modeling Time and Predictability in the Literary and the Mathematical Sciences* is organized by the clusters of excellence *MATH+* and *Temporal Communities.* It aims to explore shared interests, common grounds and similar problems both the mathematical sciences and the Humanities, particularly the philologies and the literary studies, entail.

To enable this interdisciplinary approach, we want to address, compare and contrast mathematical and literary modes of time. How, for instance, do stories narrate succession, causation and the probable, and how do different modes of temporality inform dynamical systems and probability theory and their applicability? In addition, we will explore the possibilities of collaborations within the *Digital Humanities, *i.e. the systematic use of computational and algorithmic methods and resources in the humanities.

**Upcoming Thematic Einstein Semesters:**

- Mathematical Optimization for Machine Learning (Summer 2023)

**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)
- Mathematics of Imaging in Real-Word Challenges (Winter 2021/22)
- The Mathematics of Complex Social Systems: Agent-based and Data-driven Modeling (Summer 2022)