The thesis performs the first elliptic symbol bootstrap to obtain the symbol of the two-loop twelve-point double box, and identifies the first Calabi-Yau threefold geometry in post-Minkowskian gravitational-wave integrals.
Generation and removal of apparent singularities in linear ordinary differential equations with polynomial coefficients
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abstract
We discuss several examples of generating apparent singular points as a result of differentiating particular homogeneous linear ordinary differential equations with polynomial coefficients and formulate two general conjectures on the generation and removal of apparent singularities in arbitrary Fuchsian differential equations with polynomial coefficients. We consider a model problem in polymer physics.
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Special Functions and Geometries in Scattering Amplitudes: From Particle Physics to Gravity
The thesis performs the first elliptic symbol bootstrap to obtain the symbol of the two-loop twelve-point double box, and identifies the first Calabi-Yau threefold geometry in post-Minkowskian gravitational-wave integrals.