## Workshop on "Unstable Homotopy Theory"

## Workshop on "Unstable Homotopy Theory", November 11 - 15, 2024

Unstable homotopy theory is about understanding the detailed structure and properties of topological spaces and morphisms between them. Central to this study is the concept of homotopy types (also known as ∞-groupoids, animas, or spaces), which classify topological spaces up to weak homotopy equivalence.

## Conference on "The Mathematics of Post-Quantum Cryptography"

## Conference on "The Mathematics of Post-Quantum Cryptography", December 4 - 5, 2024

Post-Quantum cryptography is a branch of public-key cryptography aiming to design

cryptographic schemes building on mathematical problems that are conjectured to be hard

to solve on both, classical and quantum computers. Such cryptographic schemes are needed

since Shor's quantum algorithms break classical public-key cryptography based on the

discrete logarithm problem (in finite fields or elliptic curves) as well as integer factoring in polynomial

## Conference on "Quantum Topology"

## "Hot Topics" Conference on "Quantum Topology", May 12 - 16, 2025

The discovery of a new polynomial invariant of knots by Jones sparked the study of quantum topology in the late 80s and 90s. Work over the last two decades has led to deeper understanding of the mathematical structures behind these invariants. Broadly, we have gained a deeper understanding of how they relate to the geometric and number theoretic properties of three-manifolds. In this conference, we will explore some of these recent advances surrounding work of Garoufalidis and collaborators.

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