MISG2018, ANZIAM2018 派遣報告
2018年1月29日から2月2日まで，南オーストラリア大学（オーストラリア，アデレード）にてMathematics in Study Group 2018(MISG)が開催され，IMIより手老篤史准教授が参加しました．また，2月4日から8日までHotel Grand Chancellor（オーストラリア，タスマニア）にてオーストラリア・ニュージーランドの応用数理学会であるAustralia New Zealand Industrial and Applied Mathematics (ANZIAM)の年会ANZIAM2018が開催され，数理学府の学生3名が参加しました．
In the Australian summer warmth of early February I had the opportunity to partake in a study group and a conference in applied mathematics with several other Kyushu university students.
The five-day Mathematics in Industry Study Group (MISG) in Adelaide, South Australia, featured four diverse projects in statistical population data aggregation, abattoir workflow optimization, electrical network modeling and stability analysis on electrical networks. I participated in the lattermost project, which originates in the observation that, whereas classical electricity generators typically incorporate large rotating masses, modern clean energy sources (e.g. wind turbines and solar cells) have a much smaller rotating mass component if any at all. In the classical case this rotational inertia stabilizes the network both by acting as a flywheel, i.e. providing a buffer to withstand changes in load demands from the network, and – depending subtly on the specifics of the network – automatically distributing the load evenly over the connected generators. The natural way to remedy the instability arising from these non-inertial generators was deemed to be mimicking the inertia behavior through electronics and battery storage, although getting a good numerical grasp on the stability effects of this solution proved to be too challenging to obtain within the set five-day timespan.
The Australia and New Zealand Industrial and Applied Mathematics (ANZIAM) conference in the city of Hobart, on the picturesque island of Tasmania, hosted over two hundred talks from a multitude of subfields within applied mathematics over a four-day period, with broad keynote presentations on problems in mathematical biologics, mathematical physics, optimization theory and data science. I gave a short talk on my previous research in mechanical metamaterials and was happily surprised not to be the only one presenting on this relatively new field at this conference.
All in all, these two weeks have taught me a lot about cooperative mathematics and introduced me to some researches whose research I will follow closely over the upcoming years.
From February 3rd to 8th, I participated to Early career Workshop and ANZIAM 2018 in Hobart, Australia. At the Early Career workshop, I listened to some interesting talks about various career paths from which the mathematics graduates can choose and was introduced advantages and disadvantages of each career. Also, I learned that when it comes to apply for whatever job, not only the results of the research or the ability to conduct a research matter but also the communication and presenting skills. At ANZIAM 2018, besides listening to many interesting and useful talks concerning various mathematical areas, on February 7th I gave a talk titled “Exact invariant solutions of time fractional evolution system with variable coefficient”, a brief introduction of a chapter of my thesis. After the talk, I was asked two questions: One question was about the choice of the coefficient function and I think I answered to that question well. The another question was about what kind of boundary conditions should be considered. But I haven’t studied about boundary and initial conditions of the equation under study and answered so. During the ANZIAM 2018, I also had conversations with some professors from Australia and explained not only my research and results but also about life in Japan and Mongolia. Also, during Women in Mathematics lunch which was held on Tuesday afternoon, I received advice on overcoming challenges in personal life.
Sebastián Elías Graiff Zurita（数理学府修士課程1年）
This year we were faced to four different Industry projects, and the main mathematical techniques involved were: optimization, statistical analysis, dynamical systems, and stochastic modelling.
In my case, I chose to work in the problem explained by the Australian Bureau of Statistics (ABS): Infer information about sub-populations using census records of higher population levels and publicly available data. During that week, I had the opportunity to learn from scratch about statistical analysis and methods to aggregate information in data analysis -field which is studied in the theory of Small Area Estimation-. In addition, during the very enriching conversations we had, we were able to share our experiences and knowledge, which from our diverse backgrounds made the study group even more fulfilling. Finally, these new techniques that I’ve learned can be used in other fields in which we have missing data/information, and so, from now on, I know where to look into if I find these kinds of difficulties in my research.
ANZIAM Conference 2018:
In February, from the early morning of Monday 5th to afternoon of Thursday 8th, the ANZIAM annual conference was held at the Hotel Grand Chancellor, in Hobart, Tasmania. Every day was packed with talks; there were 7 plenary talks and over 200 regular talks. The talks presented by the invited speakers were as diverse as interesting: from Faraday cage, up to flying machines inspired by birds and bees’ visual system. Among all the talks I’ve attended, there was one which capture my attention the most: “Relating elasticity and graphene folding conformation”, presented by Prof. James Murray Hill. In his talk, he showed how layers of graphene, when folded, follow a particular shape. This energy minimizing shapes are described by Euler Elastica curves, which are the kind of curves I’m currently studying. All the description that he presented was in the continuous framework, so I’ve been intrigued about its discrete counterpart, which might be also interesting to study because graphene sheets, giving their atomic nature, are closer to discrete surface than to continuous one. As a final remark, I’m grateful for had the opportunity of presenting a talk in this conference, along with 7 more students and professors from Kyushu University. In my case, I talked about existence and uniqueness of trajectories of discrete Lagrangian systems, using a new kind of discretization that I’ve been studying recently.