Contact UMPA, ENS Lyon
46 Allée d’Italie, 69007 Lyon
France
E-Mail jana.reker[at]ens-lyon.fr
My path as a mathematician started in an early studies program at TU Braunschweig, which allowed me to pursue part-time undergraduate studies in mathematics and physics parallel to my last three years of high school. I continued my studies at TU Braunschweig after the Abitur, graduating in 2018, and then worked as a scientific employee at the Institute of Mathematical Finance at Ulm University. Following my passion for mathematical physics, I joined IST Austria in 2020, where I was affiliated with the research group of László Erdös.
Starting in September 2024, I am a postdoctoral researcher in the group of Alice Guionnet at ENS Lyon. My research interests lie at the intersection of probability theory, analysis, and physics, in particular random matrices and related topics.
You can find my full CV here.
NEWS: Torben Krüger and I are organizing a mini-symposium at the upcoming 2025 DMV-ÖMG Meeting, which will take place at the beginning of September in Linz. The conference program can be found here, and the program for the mini-symposium here.
Une brève histoire des perturbations non hermitiennes de rang un (in French), with Guillaume Dubach
Published version: Gazette SMF 182, 14-26, 2024.
Prethermalization for deformed Wigner matrices, with László Erdös, Joscha Henheik, and Volodymyr Riabov
Preprint: arXiv:2310.06677 Journal version: Ann. Henri Poincaré, online ready.
Fluctuation moments for regular functions of Wigner matrices
Preprint: arXiv:2307.11029 Journal version: Math. Phys. Anal. Geom. 27, 10, 2024.
Multi-point functional central limit theorem for Wigner matrices
Preprint: arXiv:2307.11028 Journal version: Electron. J. Probab. 29, 1-49, 2024.
Dynamics of a rank-one multiplicative perturbation of a unitary matrix, with Guillaume Dubach
Preprint: arXiv:2212.14638 Journal version: Random Matrices Theory Appl. 13(2), 2450007, 2024.
On the operator norm of a Hermitian random matrix with correlated entries
Preprint: arXiv:2103.03906 Journal version: Random Matrices: Theory Appl. 11(4), 2250036, 2022.
Short-time behavior of solutions to Lévy-driven SDEs
Preprint: arXiv:2008.00526 Journal version: J. Appl. Prob. 60(3), 265-780, 2023.
On the law of killed exponential functionals, with Anita Behme and Alexander Lindner
Preprint: arXiv:2003.02073 Journal version: Electron. J. Probab. 26, 1-35, 2021.
Support and continuity properties of killed exponential functionals, with Anita Behme, Alexander Lindner, and Victor Rivero
Preprint: arXiv:1912.03052 Journal version: Stochastic Process. Appl. 140, 115-146, 2021.
Existence of resonances for the spin-boson model with critical coupling function
Preprint: arXiv:1805.02263 Journal version: J. Math. Anal. Appl. 483(2), 123628, 2020.
Mathematics for Quantitative Life Scientists: Probability and Statistical Inference, course instructor
Financial Mathematics I, exercise class and tutorial
Maßtheorie (Measure Theory), exercise class
Extreme Value Theory, exercise class
Student Seminar on SDEs and Applications, co-instructor
Mathematik für Wirtschaftswissenschaftler (Mathematics for Economists), exercise class
Time Series, exercise class
Student Seminar on Time Series Modelling in Continuous Time, co-instructor
Weiterführende Mathematik und Statistik für Wirtschaftswissenschaften (Advanced Mathematics and Statistics for Economists), exercise class
Time Series Econometrics, exercise class
Ingenieurmathematik I/II für Schüler (Mathematics in Engineering I/II for Secondary School Students), exercise class
Ingenieurmathematik III für Schüler (Mathematics in Engineering III for Secondary School Students), exercise class
Analysis 1 für Schüler (Analysis 1 for Secondary School Students), exercise class
You can find more information on TU Braunschweig's "Mathelok" program for secondary school students here.