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There have been a number of insightful theories about consciousness over the centuries. The modern generic term for consciousness research is the scientific study of consciousness which began to be used in the 1990s following technological advances such as the development of [https://en.wikipedia.org/wiki/Functional_magnetic_resonance_imaging Functional Magnetic Resonance Imaging] (FMRI). In particular, study of the [https://en.wikipedia.org/wiki/Neural_correlates_of_consciousness Neural Correlates of Consciousness] (NCC) was pioneered in the 1990s by Nobel Laureate [https://en.wikipedia.org/wiki/Francis_Crick Francis Crick] and collaborator [https://en.wikipedia.org/wiki/Christof_Koch Christof Koch]. In turn, two series of academic conferences began, [https://en.wikipedia.org/wiki/The_Science_of_Consciousness The Science of Consciousness] (TSC) conference and the conference of the [https://en.wikipedia.org/wiki/Association_for_the_Scientific_Study_of_Consciousness Association for the Scientific Study of Consciousness] (ASSC), which was founded in 1994. During the 1990s and early 2000s three particularly prominent mathematically, or computationally, formulated theories of consciousness were proposed, [https://en.wikipedia.org/wiki/Orchestrated_objective_reduction Orch OR], [https://en.wikipedia.org/wiki/Global_workspace_theory GNW] and [https://en.wikipedia.org/wiki/Integrated_information_theory IIT]. In general, the scientific study of consciousness now comprises a host of models that collectively include complementary and conflicting assumptions and goalspredictions<ref name=Signorelli2021>Signorelli, C.M; Szczotka, J.; Prentner, R. (2021), Explanatory profiles of models of consciousness: towards a systematic classification, Neuroscience of Consciousness, 7(2), niab021</ref>. The term Mathematical Consciousness Science began to be used and recognized from around 2018 onward following a rapid increase in the development of new mathematical and/or computational models and formal theories of consciousness. In 2018 the [https://seminar.math-consciousness.org/index.html Mathematical Consciousness Science online seminar series] and the [https://omcan.web.ox.ac.uk/home Oxford Mathematics of Consciousness and Applications Network] (OMCAN) began. In September 2019 the first [https://www.models-of-consciousness.org/ Models of Consciousness (MoC1)] academic conference was held at Oxford with an international team of organisers. [https://amcs-community.org/events/moc2-2021/ MoC2] was held online in September 2021. In January 2021 the [https://amcs-community.org/ Association for Mathematical Consciousness Science] (AMCS) was founded in order to pull together the growing number of conferences, workshops and seminars in MCS research.