
Position Professor Research
DescriptionThe axiomatic set theory has been dramatically advanced since the discovery at the beginnings of the 1960s: “One cannot determine how many real numbers exist,” and we now have deeper understanding of the universe of sets. Unexpected facts have turned out by integrating inner model theory, large cardinals with strong properties that are not deduced from the standard axioms of set theory, and various combinatorial principles, around model expansion using the Forcing method as an axis. I continue to investigate this fascinating world of in?nite sets, trying to obtain the answer that may not be found. Position Professor Research
DescriptionWhile integers are somewhat familiar, if you study them more in depth, you might suddenly find yourself helpless and stupefied by this fascinating subject.
Nowadays, part of its properties are being used in fields and theories like cryptology, etc. In my research laboratory, most of what I deal with in the arena of my investigations involve integers in the algebraic number fields, which are generalized from standard integers. I am specifically interested in power residue symbols that are generalized from quadratic residue symbols. Furthermore, I am focusing on various finite sums related to the power residue symbols.Position Professor Research
DescriptionI am employing the fundamental concepts of quantum mechanics to conduct a broad range of research on systems where many electrons and atoms exist forming complex relationships. For example, one can break down or shed light on the phenomena that appear to be influenced by the interaction of numerous atoms in a solid, such as in superconductivity which occurs in Maglev. While there are still a lot of things that are unclear in this field, I use both mathematical techniques and computer simulations to try to rationalize existing experiments and to predict new phenomena. Position Professor Research
DescriptionI am conducting research on settheoretic and geometric topology.
The research of settheoretic topology involves hyperspaces and function spaces on a special subset of the real line. In addition, I am also investigating metrization theorems of generalized metric spaces.
The research of geometric topology involves the investigation of various dimension functions for topological spaces. In addition, one of my other topic includes their relationship with graph theory.Position Professor Research
DescriptionSince the discovery of calculus by Newton and Leibniz, there has been no change in the value of derivatives (differentials) and integrals as tools in mathematics research. By differentiating a function, a new function is produced. In this process, the "operation" or action of a "derivative" can be considered as linking or connecting one function with another. As a result, a derivative becomes an "operator" in the space of a function. And since it is linear, it is called or becomes a "linear operator." I am conducting research related to the properties of these linear operators and related problems. Position Professor Research
DescriptionMy research topic covers a high level controlled growth method for "CNT(Carbon nanotubes)" microtubular material, and the application of "diamond semiconductors" that is expected to be a new alternative semiconductor material to replace silicon semiconductors. I patented a new CNT forming technique using ion implantation.
Furthermore, in my silicon semiconductor research, I use the "ion beam induced crystallization growth" which I developed, and I have applied it to the diamond semiconductors.
I continue to focus on my research leading the world by one step.Homepage Nakata Laboratory Position Professor Research
DescriptionWe live in a universe consisting of spacetime and matter or energy. My research primarily involves explaining or shedding light on the causes that contributed to the current status of our universe, as well as the laws of physics that rule the world where we live in, by studying and understanding the formation and evolution of the universe in greater detail.
I am also investigating the general problems and questions that occur in the natural sciences, particularly astrophysics and astronomy. In the graduation thesis projects for the department, I assign each student to a research subject by matching his/her personality with one area or a combination of the following areas: theory, observation and computer simulation.Homepage Nagasawa Laboratory Position Professor Research
DescriptionFor problems that involves uncertainty found in natural and/or economical phenomena, we are attempting to come up with solutions based on the probability theory and statistics, using mathematical modeling and analysis. In random phenomena, there are certain results or patterns that will occur due to the laws of behavior of the "decision making."
We derive optimal alternative decision(s) (solution(s)) from a mathematical model by applying probability reasoning to those problems. We are investigating how to analyze and solve the problems in real life that are familiar or close to everyone. While considering and studying a wide variety of research fields involving mathematics, statistics and operations research (OR), we analyze stochastic optimization models and work on its applications of OR.Homepage Horiguchi Laboratory Position Professor Research
DescriptionAfter learning the concept of numbers, we humans have always been able to count things or events successfully. However, complex counting is not that simple. As a result, we have to identify and explore the mathematical laws that explain counting.
Traditionally, only the most advanced scholars, or a genius, used to pursue this type of highlevel study. However, thanks to the high performance of recent computers, the average person can also now access and study those mathematical laws or regularities more easily by conducting largescale experiments. One of my research topics is to mathematically prove the assumptions or regularities that are discovered.Homepage Homma Laboratory Position Professor Research
DescriptionLSI (largescale integration circuit) is used in various things, from cellular telephones and electric appliances, to automobiles, airplanes and rockets. I am conducting research (making the ON/OFF speed faster) that accelerates transistors (silicon is regularly used and has semiconductor properties), which are the elements that have the circuit’s switch function. Researchers throughout the world are competing to develop the ultimate semiconductor device. Homepage Mizuno Laboratory Position Professor Research
DescriptionI would like to solve the question of how the universe is created.
I am especially interested in the beginning and evolution of the early universe, which has a deep connection to particle physics. I study theoretically and/or using numerical simulations the topics of production of the dark matter and baryon asymmetry of the universe, formation of the density perturbations, inflation and the following reheating process, cosmic microwave background radiation, and so on. Observations by the ShonanHiratsukaCampus Telescope are also conducted for the graduation theses.Homepage Kasuya Laboratory Position Associate Professor Research
DescriptionProbability models offer a useful approach to mathematically grasping the occurrence of indeterminate phenomena in nature or society. Using analysis, simulations, and other techniques, this approach has a wide variety of possible applications, from familiar problems such as how to shorten the lines waiting for supermarket cash registers to largescale problems such as designing efficient telecommunications networks. It is expected to help in understanding structures and solving various problems. A particular focus of this laboratory is theoretical analysis of applied probability models using queueing theory and Markov chains. Position Associate Professor Research
DescriptionI am conducting a broad range of research in simulations and computational physics, as well as related information science and technology fields, which include: complex system simulations for phenomena that occur in nature and in society, simulations using objectoriented programming language such as Java and C++, and creating frameworks for large scale computing. I am currently developing a framework (class / library) for Java that can create complex system simulations and applications more easily. Position Associate Professor Research
DescriptionMy main research topic deals with the methodology for explaining the macro properties (such as the properties of mass, or their collection of atoms, and the phenomena of society, or the collection / population of humans) of numerous microscopic elements that exist together and interact with each other. In addition, I am also interested in the frustration that exists in a system where a component or an element is always unsatisfied, and how that frustration influences the order or the system.
I use analytical and computer techniques to conduct theoretical investigations from all general perspectives.