Andreas Kretschmer

Dr. Andreas Kretschmer is a scientific collaborator in the Algebraic Geometry group led by Prof. Gavril Farkas at the Institute of Mathematics, Humboldt University of Berlin, within the Faculty of Mathematics and Natural Sciences. Previously, he spent five months as a member of the Nonlinear Algebra group at the Max Planck Institute for Mathematics in the Sciences (MPI MiS) in Leipzig.

He completed his PhD in September 2024 at Otto von Guericke University Magdeburg (OvGU) under the supervision of Professors Benjamin Nill and Thomas Kahle, where he was part of the MathCoRe research training group. His academic journey includes a master's degree from Bonn University with Georg Oberdieck and a bachelor's degree from Friedrich-Alexander University Erlangen-Nuremberg (FAU).

Dr. Kretschmer's research focuses on the intersection of algebraic geometry, commutative algebra, and combinatorics. His work addresses fundamental problems in enumerative geometry, particularly concerning cubic hypersurfaces, as well as the study of lattice polytopes through their local h*-polynomials. He has made significant contributions to algebraic statistics, exploring generalizations of Gaussian graphical models. His research demonstrates a strong connection between theoretical mathematics and practical applications, bridging abstract algebraic concepts with concrete combinatorial structures.

His publication record shows a consistent trajectory of high-quality research in top mathematics journals, with a clear focus on the structural properties of algebraic varieties and their combinatorial representations. Recent work demonstrates increasing sophistication in handling complex algebraic structures while maintaining connections to geometric intuition.

Dr. Kretschmer is actively engaged in the mathematical community, regularly presenting his work at international conferences including SIAM Conference on Applied Algebraic Geometry, MEGA conferences, and specialized workshops at institutions like Oberwolfach. He has also supervised research interns through the RISE Germany program of the DAAD, demonstrating commitment to mentoring the next generation of mathematicians.

His current work within the Algebraic Geometry group at HU Berlin continues to explore deep connections between algebraic structures and geometric phenomena, with particular emphasis on the combinatorial aspects that underlie complex algebraic varieties.