### Teaching

#### Course: Statistics (WS22/23)

**Lectures: Mondays and Wednesdays, 12:00 - 12:30, Hörsaal (MI)**

**Exercises: Fridays, 10:00 - 11:30, Hörsaal II (Physik - Züplicher Str. 77)**

In this course we will study selected chapters from the broad field of statistics, starting with some theoretical foundations, such as unbiased estimation and confidence regions. We will then proceed to the general theory of normal distributions and conclude with linear regression and ANOVA. Applications of the theory using R (or some other preferred programming language) will be covered during the exercises.

Understanding of concepts from the course “Introductions to Stochastics“ is a requirement.

Further information and news about the course can be found on **ILIAS**. Lecture notes and problem sheets will be made available on ILIAS.

##### Literature

- R. M. Dudley.
*Real Analysis and Probability.*Cambridge Studies in Advanced Mathematics. Cambridge UniversityPress, second edition, 2002. - B. Efron and T. Hastie.
*Computer Age Statistical Inference: Algorithms, Evidence, and Data Science.*Cambridge University Press, USA, ﬁrst edition, 2016. - H.-O. Georgii.
*Stochastics.*Walter de Gruyter GmbH, Berlin, second edition, 2013. - R. W. Keener.
*Theoretical Statistics: Topics for a Core Course.*Springer Texts in Statistics. Springer New York, 2010. - J. Shao.
*Mathematical Statistics.*Springer-Verlag New York Inc, 2nd edition, 2003.

#### Old courses and seminars

### Research

#### Submitted papers/Preprints

**The contact process on scale-free geometric random graphs**

with Arne Grauer,*arXiv:2208.08346*.**Finiteness of the percolation threshold for inhomogeneous long-range models in one dimension**

with Lukas Lüchtrath and Christian Mönch,*arXiv:2203.11966*.

#### Published/Accepted papers

**Chemical distance in geometric random graphs with long edges and scale-free degree distribution**

with Arne Grauer and Peter Mörters,*Commun. Math. Phys. (2022)*.**Recurrence versus Transience for Weight-Dependent Random Connection Models**

with Markus Heydenreich, Christian Mönch and Peter Mörters,*Electron. J. Probab. 27: 1-31 (2022)*.**Percolation phase transition in weight-dependent random connection models**

with Lukas Lüchtrath and Peter Mörters,*Advances in Applied Probability, 53(4), 1090-1114***Transience Versus Recurrence for Scale-Free Spatial Networks**

with Markus Heydenreich, Christian Mönch and Peter Mörters,*Algorithms and Models for the Web Graph. WAW 2020*: pp 96–110**The age-dependent random connection model**

with Arne Grauer, Lukas Lüchtrath and Peter Mörters,*Queueing Syst (2019)***Percolation of Lipschitz surface and tight bounds on the spread of information among mobile agents**

with Alexandre Stauffer,*APPROX-RANDOM 2018*: 39:1-39:17**Multi-scale Lipschitz percolation of increasing events for Poisson random walks**

with Alexandre Stauffer,*Annals of Applied Probability*, 29 (2019), 376-433**Random walks in random conductances: decoupling and spread of infection**

with Alexandre Stauffer,*Stochastic Processes and their Applications*, 129 (2019) 3547

#### Some conferences/workshops where I have given a talk

**Recent Trends in Spatial Stochastic Processes**

Eindhoven, Netherlands**Random Geometric Systems: First Annual Conference**

Berlin, Germany**Spatial Networks and Percolation**

Oberwolfach, Germany**YEP XV "Information Diffusion on Random Networks"**

Eindhoven, Netherlands**APPROX/RANDOM 2018**

Princeton, USA**Strongly Correlated Random Interacting Processes**

Oberwolfach, Germany

### Mini CV

Since this is supposed to be a sort of CV website, I should probably list a couple of things that define me. In no specific order, here's a few things I have done.