Merlin Incerti-Medici

Moth Quantum

Basel, Switzerland

Mail: firstname magic-a mothquantum.com

About me

I'm a Researcher at Moth Quantum in Basel, Switzerland. My focus is on Quantum Error Correction and fault tolerance. Before, I spent nearly a decade doing research in various universities and research institutions. During that time, my research was on various aspects of geometric group theory.

Some central themes of my academic work were the geometry of negatively curved manifolds, CAT(0) cube complexes, and asymptotic geometry. I was particularly interested in understanding negatively curved manifolds up to quasi-isometry (of their fundamental groups) - for example Gromov-Thurston manifolds - and in the geometry of CAT(0) cube complexes, as cube complexes naturally arise when studying negatively curved manifolds. In addition, I was working on various ways how boundaries (and their cross ratios) can determine the geometry of their interior space.

Publications and Preprints

13. Fundamentals of cubical isometry groups

2025

12. On a generalization of Cannon's conjecture for cubulated hyperbolic groups

with Corey Bregman

2024

11. Automorphism groups of cocompact CAT(0) cube complexes and simplicity

with Tobias Hartnick

2023

Automorphisms of cube complexes test.jpg

10. Automorphisms of self-similar trees

with Tobias Hartnick

2023

9. Hyperbolic projections and topological invariance of sublinearly Morse boundaries

with Carolyn Abbott

2022

8. The normal growth exponent of a codimension one hypersurface of a negatively curved manifold

with Corey Bregman

2021

7. Contractibility of boundaries of cocompact convex sets and embeddings of limit sets

with Corey Bregman

2024, Analysis and Geometry on Metric Spaces

6. Sublinearly Morse boundaries from the viewpoint of combinatorics

with Abdul Zalloum

2023, Forum Mathematicum

Sublinearly Morse boundaries combinatorics_1.jpg

5. Circumcenter extension maps for non-positively curved spaces

2024, Geometriae Dedicata

4. Comparing topologies on the Morse boundary and quasi-isometry invariance

2021, Geometriae Dedicata

3. CAT(0) cube complexes are determined by their boundary cross ratio

with Jonas Beyrer, Elia Fioravanti

2021, Groups, Geometry & Dynamics

2. The Hausdorff- and Nagata-dimension of Möbius spaces

2017

1. Möbius structures, quasi-metrics and completeness

2024, Algebraic & Geometric Topology

Alexander von Humboldt, der Weltvernetzer

In collaboration with Life Science Communication AG, I organised a mobile exhibition in honour of the 250. birthday of Alexander von Humboldt in 2019. Humboldt was one of the most influential and well-known scientists of his time and his work on people and nature is not only integrated into how we think about nature but also highly relevant for modern research (most notably for climate science).

Humboldt cared a lot about the accessibility of science to the general public. In this spirit, the exhibition aims to provide an entry point for curious explorers of all ages to see science in a way they may not have known before.

More information can be found here. The pictures belong to Life Science Communication AG.