In recent years, the importance of mathematical sciences has been increasingly recognized in various fields, as exemplified by the rapid progress of AI technology and the development of DX (Digital Transformation) in companies.
In academia, research centers have been established in fields such as space, materials, life, and medicine, where experts in the mathematical sciences play an important role in research activities in their respective fields.
At the same time, the universality of mathematics and the quantitative and predictive nature of data analysis are also being considered useful in industry, and some companies are actively using mathematical science in their own business. Some companies are actively utilizing mathematical science in their business.

In this symposium, researchers who are conducting research with the mission of returning research using mathematical science to society and implementing it will gather to discuss, based on the results of their cutting-edge research, "Can social issues be solved with mathematical science? -Attempts and Challenges" and discuss the role of mathematical science in society.

The discovery of high-energy cosmic neutrinos opened a new window of astroparticle physics. Their origin is a new mystery in the field, which is tightly connected to the long-standing puzzle about the origin of cosmic rays. I will give an overview of the latest results on high-energy neutrino and cosmic-ray observations, and demonstrate the power of "multimessenger" approaches. In particular, I will show that the observed fluxes of neutrinos, gamma rays, and extragalactic cosmic rays can be understood in a unified manner. I will also highlight the recent developments about astrophysical neutrino emission from supermassive black holes and violent transient phenomena. Possibilities of utilizing high-energy neutrinos as a probe of heavy dark matter may be discussed.

In this talk, I will illustrate collaborative stories between our math group and medical researchers to treat disrupted circadian rhythms and sleep. First, I will illustrate the key molecular mechanism for robust circadian rhythms against spatio-temporal noise, which we identified by analyzing spatio-temporal timeseries data of clock molecules. This explains why Alzheimer's diseases, obesity, and aging cause unstable circadian rhythms and sleep-wake cycle: cytoplasmic traffic jam, which provides a new paradigm to treat sleep disorders. Next, I will talk about our collaboration story with Pfizer Inc: how we used mathematical modeling to help the development of a new drug modulating the circadian phase. Finally, I will introduce our collaboration with Samsung medical center: how we used mathematical modeling to analyze complex sleep patterns of shift workers measured with wearables to find optimal sleep patterns minimizing sleep disorders. This opens the chance for the development of an app providing a personalized sleep schedule for shift workers.