Postdoctoral Researcher · MathCoRe Research Training Group, Otto von Guericke University Magdeburg
I study systems of polynomial equations that arise in computer vision — the algebra and geometry behind reconstructing the 3D world from images.
I work at the meeting point of algebra, geometry, and computation — using polynomial systems to answer concrete questions in computer vision and statistics.
I am a postdoctoral researcher in the MathCoRe Research Training Group at Otto von Guericke University Magdeburg. I completed my Ph.D. in Mathematics at Osnabrück University in April 2024, under the supervision of Paul Breiding.
From 2021 to 2024 I was a doctoral researcher in the Emmy Noether Group, hosted by the Max Planck Institute for Mathematics in the Sciences in Leipzig. My research lies in applied and computational algebraic geometry, focusing on the polynomial equations behind algebraic vision and algebraic statistics.
Outside mathematics, I enjoy time in nature, cooking cuisines from around the world, and discovering new places through travel.
Many geometric problems — reconstructing a scene from photographs, or inferring an evolutionary tree — become systems of polynomial equations. I study the varieties those systems define: their degree, structure, and the algorithms that solve them.
The geometry of 3D reconstruction from images: multiview varieties, point- and line-incidence constraints, and the essential variety underlying two-view geometry.
Turning geometry into computation: numerical algebraic geometry, Gröbner and SAGBI bases, and algorithms for the degree and structure of varieties.
Algebra meets inference: the algebraic degree of phylogenetic varieties and the geometry of statistical models arising in evolutionary biology.
Given the generators of an ideal — or of a finitely generated subalgebra of a polynomial ring — the package searches for a term order under which those generators form a Gröbner basis, respectively a SAGBI basis. Built on the Oscar.jl computer-algebra system.
Companion software to the ISSAC '26 paper “SAGBI and Gröbner Bases Detection.”
julia> using Pkg julia> Pkg.add(url="https://github.com/elimashehu/SagbiGbDetection.jl")
I'm always glad to discuss algebraic vision, computational algebraic geometry, collaborations, or talks. Reach out anytime.