Department of Applied Mathematics
School of Fundamental Science and Engineering
miezaki _ at _ waseda.jp
Research in Japan:
- Research theme of Laboratory:
My research area is discrete mathematics using the algebraic method, in particular, algebraic coding theory, algebraic graph theory, algebraic design theory, the theory of modular forms, lattices, and vertex operator algebras, invariants, and symmetry in the discrete structure. For example, we recently obtained a complete invariant for matroids and a complete invariant for graphs that is a generalization of Stanleyfs chromatic symmetric function. One of the most interesting parts of this research is to connect many areas in mathematics. For more details, please contact me. Moreover, we invite you to join the Moodle of my class gAlgebraic Combinatorics A/Algebra E2h.
- Title and abstract of Research Project:
Title: Introduction to Algebraic Combinatorics
Examples of texts:
-- W. Ebeling, Lattices and Codes, Springer
-- V. Pless, Introduction to the Theory of Error-Correcting Codes, Wiley-Interscience
If you have a particular preference, we can discuss it with you. Once you have read a certain amount of material, you can decide on your own research theme while reading related papers at the same time. During the course of our research, we have often used gMathematica, Magma, and Sageh.
- Members of Laboratory, seminar, special activity:
Members: Undergraduate students 1, Graduate (Master Course) students, Researchers 0, Lecturers 0
A special event in our laboratory is the "Algebraic Combinatorics Seminar" (held every other week). If you wish, you can participate in the "Algebraic Combinatorics Symposium" in June and the "RIMS Research Meeting" in December.
- Laboratory tours:
Laboratory tours are always welcome. Please send me an email. If you are interested in algebra, combinatorics, or discrete mathematics, please consider applying to our lab. We also welcome those who have no difficulty in computer programming. We currently have seminars on Thursdays in the 2nd period (4th year seminar) and 3rd period (research seminar). You are welcome to join our seminar.
(last updated 2022-01-21)