We are a group of theoretical physicists striving to better understandthe fundamental laws of nature
My research focuses on theoretical particle physics and cosmology. It moves along the edge of these fields as well as of holography and combinatorics to understand the fundamental rules constraining physical processes at ultra-high energies - much higher than any experiment on Earth and characterizing the early stage of our universe - and their underlying mathematical structures. In particular I am leading a program devoted to apply both phylosophy and methods developed for scattering amplitudes to understand the structure of quantum mechanical observables in cosmology. It aims to understand how to extract fundamental physics out of them as well as how the properties considered as foundational in particle physics emerge from more fundamental principles.
My research lies at the intersection of theoretical particle physics and algebraic combinatorics. I am fascinated and motivated by the resonance of diverse ideas in science, particularly between aspects of Quantum Field Theory and combinatorial geometries, or matroids, in mathematics. I am working between the scattering amplitudes at MPI for Physics in Munich, and the nonlinear algebra group at MPI for Mathematical Sciences in Leipzig, to facilitate communication and collaboration between the two groups.
My research is focused on the understanding of the analytic properties of Feynman integrals. This work lies at the intersection of physics and mathematics, using especially knowledge of complex analysis and topology. I am interested in both the geometric aspects of Landau varieties which determine the location of singularities of these integrals and analytic continuation around them. The aim of this study is to establish Riemann surfaces of Feynman integrals and based on that determination of the functions beyond multiple polylogarithms which are solutions of multi-loop Feynman integrals.
My research area is at the interface of elementary particle physics and quantum field theory. What fascinates me especially is that ideas coming from different scientific communities, such as collider physics, string theory, conformal field theory, and mathematics help to bring about advances. As the principal investigator of the ERC-funded project 'Novel structures in scattering amplitudes', I am excited both to help guide young scientists to interesting research questions, and at the same time to learn from their fresh perspectives.
Recently, I am working on computing integrands of planar loop diagrams using soft-/collinear-bootstrap for N=4 Super Yang-Mills theory. IR divergences not only from scattering amplitudes but also from cosmological powerspectrum are my recent interest. Broadly, I am interested in Theoretical Particle Physics and Cosmology.
My research is oriented towards understanding analytical properties and singularities of scattering amplitudes. Currently I am focused on Landau equations which determine the location of the singularities in scattering amplitudes.
My research focuses on one of our primary analytical windows into the nature of quantum fields: scattering amplitudes. I am most interested in bootstrap approaches, i.e. methods that allow circumventing certain 'hard' calculations using a set of known properties and symmetries of the results. Of particular interest to me are the symmetries of Yangian type that feature prominently in the integrable planar limit of N=4 SYM theory but have also been found to govern the structure of more generic types of Feynman integrals.
My research is focused on mathematical properties of scattering amplitudes in quantum field theories. In particular I am interested in the analytic structure of scattering amplitudes and how it relates to the mathematical topic of cluster algebras. I am also interested in the formulation of scattering amplitudes on the celestial sphere and how these objects can help us formulate a version of flat space holography. The exploration of these topics will hopefully lead to new computational techniques that could be applied to predictions for particle physics experiments.
My main research interests are focused on the physical and mathematical aspects of scattering amplitudes in gauge theories, in particular, towards the development of modern techniques for the calculation of scattering amplitudes. I look forward to understanding the physics that emerges from colliders, like LHC at CERN. I am especially interested in having a pure four-dimensional framework to compute relevant observables useful for the latter. Moreover, I am interested in applying these modern techniques developed primarily for gauge theories to effective field theory approach to general relativity. Currently, I am considering fifth post-Newtonian corrections to the Newton potential to higher orders.
In my research I focus on studying the connection between scattering amplitudes and Wilson loops in conformal field theories and use integrability techniques and ideas to compute these quantities outside of the perturbation regime. These ideas might one day be extended to non-conformal theories like quantum chromodynamics (QCD), which would give us the ability to compute physical quantities in regimes that are inaccessible to conventional quantum field theory techniques and help us gain a deeper understanding of the fascinating connection between gauge theories and string theory.
My research is focused on studying the structure of quantum mechanical observables in cosmology. Recently, I've been working to understand the IR structure of cosmological amplitudes using combinatorics methods.
For my master thesis project, I am working on the computation of Feynman integrals using the technique of differential equations. More specific, I am working on how to put the differential equations for elliptic integrals into a precanonical form.