Frederi Alberti
Office: UHG V5-111
Phone: +49-521-106-4791
Fax: +49-521-106-6481
Email: falberti[at]math.uni-bielefeld.de
Phone: +49-521-106-4791
Fax: +49-521-106-6481
Email: falberti[at]math.uni-bielefeld.de
Research Interests
I'm 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 and migration. 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.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" Supvervisor: 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 2021 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)
Publications and preprints
- F. Alberti,
Genetic recombination as a generalised gradient flow,
Monatsh. Math. 196 (2021), 645-663. [Preprint] [Journal publication] - F. Alberti, E. Baake,
Solving the selection-recombination equation: Ancestral lines and dual processes,
Doc. Math. 26 (2021), 743-793
[Preprint] [Journal publication] - F. Alberti, E. Baake, I. Letter, S. Martinez,
Solving the migration-recombination equation from a genealogical point of view<
J. Math. Biol. 82 (2021), article no. 41 (27 pp)
[Preprint] [Journal publication] -
F. Alberti, C. Herrmann, E. Baake,
Selection, recombination, and the ancestral initiation graph
Theor. Popul. Biol. 42 (2021), 46-56
[Preprint] [Journal publication]
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