Fundamental group of the one-loop box
with Cristian Vergu
Computed the fundamental group using Zariski-van Kampen and related the resulting relations to integrability conditions. Current work studies hypergeometric representations and monodromy.
Scattering amplitudes · Positive geometry · Mathematical physics
Adolfo
Hilario-Garcia
I am a master's student in theoretical and mathematical physics at Ludwig-Maximilians-Universität München and the Technical University of Munich. I am currently completing my thesis in the QFT group at the Max Planck Institute for Physics under Cristian Vergu and Johannes Henn.
My work concerns mathematical structures in scattering amplitudes, including topology, positive geometry, hypergeometric functions, and computational methods for multiloop calculations.
- Current
- Max Planck Institute for Physics
- Programme
- Elite Master in Theoretical and Mathematical Physics
- Location
- Munich, Germany
Research
Current projects
Homology of the amplituhedron
Max Planck Institute for Physics
Constructing a CW complex for the two-loop four-point amplituhedron and studying its homology in relation to known results for two-loop SYM amplitudes and mixed Hodge theory.
Complete monotonicity
with Prashanth Raman
Investigating constraints on poles and residues through Laurent expansions, Choquet theory, and rational approximation using the AAA algorithm in the complex unit disk.
Computational methods for multiloop physics
Max Planck computing cluster
Deployed Kira, FiniteFlow, LiteRed, and FIRE in containerized supercomputing environments and supported integration-by-parts reductions for research projects.
Academic record
Experience
2026 - present
Master's thesis researcher
Max Planck Institute for Physics, Munich
Research under Cristian Vergu and Johannes Henn in the QFT group.
2025 - 2026
Graduate intern, QFT group
Max Planck Institute for Physics, Munich
Research assistant in scattering amplitudes, positive geometry, analytic structures, and computational methods.
2024 - 2025
Grader, Mathematical Methods of Theoretical Physics
Ludwig-Maximilians-Universität München
Graded problem sheets and examinations for first-year students.
2023 - 2024
Bachelor's thesis: Deformation Quantization and Spinor Bundles
Universitat Autònoma de Barcelona
Developed a formulation of the quantization map using Kontsevich deformation quantization, Clifford algebras, and spin bundles under Roberto Rubio.
2023
Summer student, ATLAS group
Instituto de Física Corpuscular, Valencia
Studied electron properties in ATLAS calorimeters and optimized object-oriented ROOT/C++ analysis workflows under Joaquín Poveda.
2023
Curricular intern
Institute of Space Sciences, Barcelona
Developed neural-network models of cosmological evolution and coupled their predictions to Bayesian parameter inference under Martiros Khurshudyan.
Presentations
Talks and seminars
2026
Positive Geometry and Mixed Hodge Theory
Max Planck Institute for Physics2026
Borel-Weil construction of irreducible representations for SU(n)
Ludwig-Maximilians-Universität München2025
Scattering Amplitudes and Homotopy Theory
Max Planck Institute for Physics2025
Real Quantum Computers: Preparation of Entangled States
Ludwig-Maximilians-Universität München2024
Causal Structure of Kerr Black Holes
Universitat Autònoma de Barcelona2024
Deformation Quantization and Spinor Bundles
IFAE and UAB Mathematics Department2023
Properties of Electrons at ATLAS Calorimeters
Instituto de Física CorpuscularSelected training
Schools and conferences
UNIVERSE+ School: Exploring Positive Geometry
Les Houches School of Physics
Chow Lectures by Nima Arkani-Hamed
Max Planck Institute for Mathematics in the Sciences
Algebraic Structures in Quantum Field Theory
Humboldt-Universität zu Berlin
Mathematical Supergravities
UNED - BBVA
ICCUB School: Entanglement in QFT
Institut de Ciències del Cosmos
ICCUB School: Primordial Black Holes
Institut de Ciències del Cosmos
5th ICE Summer School
Modified gravities, inflation, and primordial perturbations
Curriculum vitae
Education and technical profile
2024 - 2026
Elite Master in Theoretical and Mathematical Physics
Ludwig-Maximilians-Universität München and Technical University of MunichSelected among 30 students from more than 400 applications.2021 - 2024
BSc in Physics
Universitat Autònoma de BarcelonaSelected grades: Quantum Mechanics 9.7; QFT 9.3; General Relativity 9.2 with first honours.2019 - 2021