Frederic Alberti
Postdoctoral Researcher
Johannes Gutenberg University Mainz
Postdoctoral Researcher
Johannes Gutenberg University Mainz
Research Interests
I am a postdoctoral researcher in probability theory and its applications, in particular in the area of mathematical population genetics. Thus far, my research has been focussed on models of genetic recombination and its interplay with various other evolutionary processes, including natural selection, migration as well as fixed pedigrees. A large part of my studies has been to combine analytical and probabilistic techniques, establishing formal relationships between deterministic (systems of) ordinary differential equations, describing the evolution of a population forward in time, and their associated (stochastic) ancestral processes, describing the genealogy of a sample backward in time.
Currently, I am working on a model for the genealogies in a diploid population model with fixed pedigrees. Another focus of my studies is on the Brownian Net and its role as a universal scaling limit of genealogies in spatially structured population models under selection. More broadly, I am interested in dynamic aspects of random graphs and networks, in particular their scaling limits and condensation phenomena.
Education
2017 - 2021 Doctorate in mathematics, Bielefeld University.
Thesis: "Dynamic and probabilistic aspects of recombination"
Supervisor: Ellen Baake
2015 - 2017 Master's degree in mathematics, University of Bayreuth.
Thesis: "Cauchy operators in view of Riemann-Hilbert problems"
Supervisor: Thomas Kriecherbauer
2012 - 2015 Bachelor's degree in mathematics, University of Bayreuth.
Thesis: "Der Cauchyoperator für reguläre geschlossene Jordankurven"
Supervisor: Thomas Kriecherbauer
Professional Career
Since 2023 Research assistant (Walter-Benjamin Fellow) at Johannes Gutenberg University Mainz
2021 - 2023 Research associate at Bielefeld University (Faculty of Technology)
2017 - 2021 Research associate at Bielefeld University (Faculty of Mathematics)
2016 - 2017 Student assistant at University of Bayreuth
(Faculty of Mathematics, chair for nonlinear analysis and mathematical physics)
2014 - 2016 Student assistant at University of Bayreuth (Faculty of Mathematics, chair for probability)