Exchange
Stockholm, Sweden  Wenner Gren Institute  Department of Molecular Biosciences
Martin Jastroch studies mitochondria and cellular energy metabolisms. He wants to understand how thermogenesis evolved and how an increased understanding regarding this fundamental process can be applied to develop novel medical intervention strategies directed towards curing metabolic diseases. His groups work integrates research on whole animal metabolism with cellular and mitochondrial bioenergetics. It aims to identify molecular mechanisms and their significance for systemic energy homeostasis and metabolic disease.
Thomas Opitz works in stochastic geometry and in spatial and spatiotemporal statistics with a view towards extreme values. His research includes applications to meteorological and climatic processes (precipitation, wind speeds, temperatures), spatial and spatiotemporal modeling of plant and animal species, but also analysis of extreme values and risk.
Michael Lachmann is a theoretical biologist whose primary interests lie in understanding evolutionary processes and their origins. His work focuses on the interface between evolution and information. He studied how an ant colony could make global decisions based on the information acquired by the single ants, on the connection between the fitness advantage a signal provides and the information it provides, on how costly signals in biology need to be to be believable, and on epigenetic information transfer.
Leipzig, Germany  Max Planck Institute for Evolutionary Anthropology (Summer 2018)
The department studies the genetic history of humans, apes and other organisms. The work groups are interested in both the forces that affect the genome directly, such as mutation and recombination, and in the effects of selection and population history. The department is headed by Svante Pääbo who won the Breakthrough Prize in Life Sciences in 2016.
In summer 2018 the three Byrne scholars Anuraag Bukkuri, Kyle Bensink and Megan Green conducted internships at the MPI with
Ben Peter  Genetic diversity through space and time
Janet Kelso  Bioinformatics
Kay Pruefer  Genomes
Upcoming
Mentoring
Hyperbolic geometry and Riemann surfaces
The hyperbolic plane is a space of constant negative curvature minus one, where different rules than in Euclidean space apply for geodesics, the geometry of polygons and the area of disks. A hyperbolic surface can be seen as a polygon in the hyperbolic plane with identified sides. We call such a surface a Riemann surface. Many questions about Riemann surfaces are still open or under study. Hyperbolic geometry is used in the theory of special relativity, particularly Minkowski spacetime.
Systolic geometry

A systole of a surface is a shortest noncontractible loop on a surface. Every surface has a genus \( g \), where informally \( g \) denotes the number of holes. Surprisingly given any surface of fixed genus \( g \) and area one, the systole can not take a value larger than \(c \cdot \frac{\log(g)}{ \sqrt{g}} \), where \( c \) is a constant. A large number of families of short curves on surfaces satisfy this upper bound and example surfaces can be found among the hyperbolic Riemann surfaces. 
Past and current activities
Reading courses
 Abstract Algebra
Geometry exhibition
 Pentagonal tilings