Dr. Martin Sera
Areas of Research:
Mathematics, Complex Analysis, Complex Geometry
In 2010, Martin Sera graduated from the Department of Mathematics of the University of Wuppertal (Germany) and obtained his Ph.D. degree there in 2015. After a one-year postdoc in Wuppertal, he received a grant from the German Research Foundation (DFG) to work as a postdoctoral guest researcher at the Department of Mathematical Sciences, Chalmers University of Technology and the University of Gothenburg in Sweden for one year. Supported by the Knut and Alice Wallenberg foundation, he continued working as a postdoctoral research assistant in Gothenburg for two more years.
Martin is specialized in Complex Analysis. The field of Complex Analysis plays a vital role in Mathematics. It is connected to and applied in various fields as Differential Geometry, Number Theory, or Theoretical Physics. An especially interesting part of Complex Analysis is the subfield of Complex Geometry: the study of complex manifolds as they are used in String Theory for instance. While smooth manifolds are already quite thoroughly studied, only little is known in the presence of singularities. Therefore, Martin chose complex geometry with a focus on singularities as his research field. Using L²-Dolbeault cohomologies, he analyzed the geometry of singular complex curves. He continued this work to study singular complex spaces. Furthermore, he used coherent sheaves to classify their singularities. Recently, he has dedicated himself to studying singular Hermitian metrics on vector bundles in detail. As a crucial tool, he applies generalized Monge-Ampère products to define the wedge product of currents related to the curvature.
In his spare time, Martin enjoys taking pictures. To find nice shots, he likes to discover interesting cities and various places.