Theoretical physics and positive geometry

Chia-Kai Kuo

Postdoctoral Researcher at the Max Planck Institute for Physics, working on scattering amplitudes, ABJM theory, correlation functions, and the geometric structures behind quantum field theory.

Portrait of Chia-Kai Kuo

About

Exploring amplitudes through geometry

I am a postdoctoral researcher at the Max Planck Institute for Physics in Munich. My work focuses on modern on-shell methods in quantum field theory, especially the geometric formulation of scattering amplitudes and correlation functions.

During my Ph.D. at National Taiwan University, supervised by Song He and Yu-Tin Huang, I studied loop amplitudes in ABJM theory and their realization as differential forms associated with novel positive geometries.

Research

Main directions

Positive geometry for scattering amplitudes

I study how amplitudes can be represented as canonical differential forms on positive geometries, with a particular focus on ABJM theory and its amplituhedron-like structures.

Loop amplitudes and integrands

My work develops all-loop and finite-loop constructions for ABJM amplitudes, including unitarity cuts, dimensional reduction, and explicit two-loop integrands.

Correlation functions and correlahedra

I am interested in the geometric organization of correlation-function integrands, chamber decompositions, leading singularities, and pure conformal integral bases.

Cosmological wavefunction coefficients

Recent work extends orthogonal-Grassmannian ideas toward supersymmetric cosmological wavefunction coefficients and their analytic structure.

Publications

Selected and recent papers

For live citation data and the full record, see INSPIRE-HEP and ORCID.

  1. 2026

    Notes on off-shell conformal integrals and correlation functions at five points

    C.-K. Kuo and Q. Yang, Physical Review D 113, 5.

  2. 2026

    BDS ansatz in ABJM via scaffolding triangulations

    Y.-T. Huang, C.-K. Kuo and C. Zhang, JHEP 02, 022.

  3. 2026

    Leading singularities and chambers of Correlahedron

    S. He, Y.-T. Huang and C.-K. Kuo, JHEP 03, 071.

  4. 2026

    Beyond Discontinuities: Cosmological WFCs from the Supersymmetric Orthogonal Grassmannian

    Y.-T. Huang, C.-K. Kuo, Y. Liu and J. Mei, preprint.

  5. 2024

    All-loop geometry for four-point correlation functions

    S. He, Y.-T. Huang and C.-K. Kuo, Physical Review D 110, L081701.

  6. 2023

    The ABJM Amplituhedron

    S. He, Y.-T. Huang and C.-K. Kuo, JHEP 09, 165.

  7. 2023

    Emergent unitarity, all-loop cuts and integrations from the ABJM amplituhedron

    S. He, C.-K. Kuo, Z. Li and Y.-Q. Zhang, JHEP 07, 212.

  8. 2023

    The two-loop eight-point amplitude in ABJM theory

    S. He, C.-K. Kuo and Z. Li, JHEP 02, 065.

  9. 2022

    All-Loop Four-Point ABJM Amplitudes from Dimensional Reduction of the Amplituhedron

    S. He, C.-K. Kuo, Z. Li and Y.-Q. Zhang, Physical Review Letters 129, 221604.

  10. 2022

    The momentum amplituhedron of SYM and ABJM from twistor-string maps

    S. He, C.-K. Kuo and Y.-Q. Zhang, JHEP 02, 148.

  11. 2018

    Dualities for Ising networks

    Y.-T. Huang, C.-K. Kuo and C. Wen, Physical Review Letters 121, 251604.

Talks

Invited talks

A concise selection from the CV.

Chamber Dissection of the Correlahedron in Four-Point Correlators

New Ways to Higher Points, Humboldt University of Berlin, Germany.

BDS Local Integrand in ABJM Theory

42nd International Conference on High Energy Physics, Czech Republic.

Geometry of the Four-Point Correlators

Kick-off Workshop on Positive Geometry in Particle Physics and Cosmology, Max Planck Institute for Mathematics, Germany.

The ABJM Amplituhedron

Amplitudes 2023, CERN, Switzerland.

All-Loop Four-Point ABJM Amplitudes from Dimensional Reduction of the Amplituhedron

2022 NTU-Kyoto High Energy Physics Workshop / Kawai Fest, National Taiwan University, Taiwan.

Teaching

Teaching and supervision

I have served as a teaching assistant in the Department of Physics at National Taiwan University for Electricity and Magnetism, Quantum Mechanics, and Applied Mathematics I.

My technical toolkit includes LaTeX, Mathematica, and Maple.

CV

Academic profile

The downloadable CV includes positions, education, publications, awards, invited talks, teaching, and technical skills.

Download CV
Current position
Postdoctoral Researcher, Max Planck Institute for Physics, Munich
Ph.D.
National Taiwan University, Theoretical Physics, 2024
Thesis
Loop Amplitudes of ABJM and Its Positive Geometry
Awards
NTU-CTP Best Student Paper Award; NCTS Student Outstanding Paper Award

Contact

Get in touch

I am happy to discuss amplitudes, positive geometry, correlation functions, and related questions in theoretical physics.