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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 interests lie in quantum field theory and high-energy particle physics phenomenology. In particular, I am interested in the physical and mathematical properties of scattering amplitudes. The insights gained from the study of the structure of scattering amplitudes promise to lead to new techniques for the computation of quantities relevant in collider experiments. Currently, I am working on the computation of two-loop five-point amplitudes with massive final states in QCD. For that purpose, I am exploiting various methods, such as the method of differential equations.
My research is focused on theoretical particle physics and cosmology. More specifically, I am investigating quantum mechanical observables in cosmology which are closely tied to concepts that describe scattering amplitudes.
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.
The research focus of my master thesis is the calculation of the hard matching coefficients appearing in Drell-Yan and Deep Inelastic Scattering factorization theorems. The approach is motivated by the Large Momentum Effective Theory (LaMET) of QCD by which we can match quasi-observables to physical quantities. Using the methods to solve Feynman Integrals to calculate a pion transition form factor the matching coefficient can be extracted perturbatively.
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.
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.
My research focuses on applying novel methods to compute scattering amplitudes of quantum field theories, in particular, the geometric formulation of the amplitudes. Recently, with collaborators, we introduced a momentum space amplituhedron for the tree-level scattering amplitudes of 3D Chern-Simons matter (often termed ABJM) theory. The physical singularities of the amplitudes, such as factorization and soft limits, are related to the boundaries of the amplituhedron. It will be interesting to find an analogous geometric description using 3D momentum twistor variables or extend the study to the loop level.