We have embarked on a journey to unravel the broken symmetries in living matter. 
The sections below are organized in order of decreasing spatial scale - from the organismal level of echinoderm embryos, down to the cellular level, and lastly to the intracellular level.

Chiral symmetry breaking: nonreciprocal matter

• Odd dynamics of living chiral crystals (Nature 2022)
• Excitable nonreciprocal solids
• Boundary-induced melting
• Nonreciprocal phase transitions
• Active crystallography - dispersion relations

Spatiotemporal symmetry breaking: protein patterns

• How cells perform computation (Nat. Phys. 2021)
• Topological defects as organizers of biochemical and physical activity (Nat. Phys. 2020, PNAS 2021)
• Optogenetic and light-induced cortical excitability
• Machine learning energetic costs of pattern formation and efficiency of information transport in living systems (arXiv 2023)

Time-reversal symmetry breaking: thermodynamic arrow of time

• Broken detailed balance (Science 2016)
• Thermodynamic uncertainty relation (Nat. Comm. 2019)
• Irreversibility and KL divergence (arXiv 2021)
• Probability "angular momentum" and correlation functions (Nat. Nano 2023)
• Machine learning - invariant scattering + recurrent neural networks