Allgemeine Hochschulreife.
Gymnasium Maria Königin, 2015.
Bachelor's Degree Program in Mathematics.
University of Siegen (Germany), 2015 - 2018.
Master's Degree Program in Mathematics.
University of Siegen (Germany), 2018 - 2020.
Thesis: On Semimartingales, Killed Processes and their Characteristics.
Supervisor: Prof. Dr. Alexander Schnurr.
Positions
Research Assistant.
University of Siegen (Germany), since October 2020.
Main Research Interests
(Non-homogeneous) Markov Semimartingales
The Probabilisitic Symbol
Killing of Semimartingales and the Fourth Characteristic
Publications and Preprints
Rickelhoff, Sebastian and Schnurr, Alexander. The Time-Dependent Symbol of a Non-Homogeneous Itô Process and corresponding Maximal Inequalities. Preprint.
Rickelhoff, Sebastian and Schnurr, Alexander. On the rôle of singular functions in extending the probabilistic symbol to its most general class. Trans.Amer.Math.Soc., 2023+.
Rickelhoff, Sebastian and Schnurr, Alexander. From Markov processes to semimartingales. Probability Surveys, 20, 2023.
Talks
Semimartingales with Killing and Their Fourth Characteristic. GSPD Mannheim, 30.09.2021.
The Probabilisitc Symbol and its most General Class. GSPD Essen, 09.03.2023.
Courses (since 2020)
Winter 2023/2024: Probability Theory.
Lecturer: Prof. Dr. Alexander Schnurr.
Winter 2023/2024: Stochastik I.
Lecturer: Prof. Dr. Hans-Peter Scheffler.
Summer 2023: Stochastik II.
Lecturer: Prof. Dr. Alexander Schnurr.
Winter 2022/2023: Stochastik I.
Lecturer: Prof. Dr. Alexander Schnurr.
Summer 2022: Stochastik für das gymnasiale Lehramt.
Lecturer: Prof. Dr. Alexander Schnurr.
Summer 2022: Elemente der Stochastik für HRGs.
Lecturer: Prof. Dr. Alexander Schnurr.
Winter 2021/2022: Stochastische Integration und stochastische Differentialgleichungen.
Lecturer: Prof. Dr. Alexander Schnurr.
Winter 2021/2022: Wahrscheinlichkeitstheorie.
Lecturer: Prof. Dr. Alexander Schnurr.
Summer 2021: Stochastik II.
Lecturer: Prof. Dr. Alexander Schnurr.
Winter 2020/2021: Stochastik I.
Lecturer: Prof. Dr. Alexander Schnurr.
