Tsuyoshi Miezaki

Address:

• Department of Applied Mathematics, School of Fundamental Science and Engineering, Waseda University 

• miezaki _ at _ waseda.jp

Research in Japan: 

• Admissions for Graduate Schools

• Inviting Excellent Researchers from Other Countries to Japan

• JSPS Postdoctoral Fellowships for Research in Japan

  1. • JSPS Research Fellowships for Young Scientists

     • JASSO Follow-up Research Fellowship

For students: 

• 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 Stanley’s 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 “Algebraic Combinatorics A/Algebra E2”. 

• 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 “Mathematica, Magma, and Sage”. 

• 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.

News: 

• "Universal graph series, chromatic functions, and their index theory (with Akihiro Munemasa, Yusaku Nishimura, Tadashi Sakuma, and Shuhei Tsujie)" has been submitted to arXiv (03/15/2024). 

• "A note on the Assmus--Mattson theorem for some ternary codes (with Eiichi Bannai and Hiroyuki Nakasora)" has been accepted for publication in Applicable Algebra in Engineering, Communication and Computing, arXiv.  (02/27/2023). 

• The Tutte polynomials of genus g (with Manabu Oura, Tadashi Sakuma, and Hidehiro Shinohara)" has been submitted to arXiv (02/10/2024). 

• "A note on a t-design in isodual codes (with Madoka Awada, Akihiro Munemasa, and Hiroyuki Nakasora)" has been accepted for publication in Finite Fields and Their Applications, arXiv.   (01/11/2023). 

• "Harmonic Tutte polynomials of matroids II (with Thomas Britz, Himadri Shekhar Chakraborty, Reina Ishikawa, and Hopein Christofen Tang)" has been accepted for publication in Designs, Codes and Cryptography, arXiv (11/18/2023). 

• "A criterion for determining whether multiple shells support a t-design (with Madoka Awada, Reina Ishikawa, and Yuuho Tanaka)" has been submitted to arXiv (10/24/2023). 

• "Jacobi polynomials and harmonic weight enumerators of the first-order Reed--Muller codes and the extended Hamming codes (with Akihiro Munemasa)" has been accepted for publication in Designs, Codes and Cryptography, arXiv (10/16/2023). 

• "Equivariant theory for codes and lattices I (with Himadri Shekhar Chakraborty)" has been submitted to arXiv (09/09/2023). 

• "A note on a t-design in isodual codes (with Madoka Awada, Akihiro Munemasa, and Hiroyuki Nakasora)" has been submitted to arXiv (08/18/2023). 

• "Galois points for a finite graph (with Satoru Fukasawa)" has been submitted to arXiv (08/10/2023). 

• "On the cycle index and the weight enumerator II (with Himadri Shekhar Chakraborty and Manabu Oura)" has been accepted for publication in Journal of Algebra and Its Applications, arXiv. (06/02/2023). 

• "Jacobi polynomials and harmonic weight enumerators of the first-order Reed--Muller codes and the extended Hamming codes (with Akihiro Munemasa)" has been submitted to arXiv. (03/29/2023). 

• "On the Assmus–Mattson type theorem for Type I and even formally self-dual codes (with Hiroyuki Nakasora)" has been accepted for publication in Journal of Combinatorial Designs, arXiv (03/23/2023). 

• "A note on the Assmus--Mattson theorem for some binary codes II (with Eiichi Bannai and Hiroyuki Nakasora)" has been accepted for publication in Designs, Codes and Cryptography, arXiv (03/13/2023). 

• "Pseudo-normalized Hecke eigenform and its application to extremal 2-modular lattices (with Gabriele Nebe)", has been accepted for publication in Journal of Number Theory, arXiv (02/14/2023). 

• "Harmonic Tutte polynomials of matroids (with Himadri Shekhar Chakraborty and Manabu Oura)" has been accepted for publication in Designs, Codes and Cryptography, arXiv (02/02/2023). 

• "Jacobi polynomials and design theory I (with Himadri Shekhar Chakraborty, Manabu Oura and Yuuho Tanaka)" has been accepted for publication in Discrete Mathematics, arXiv (01/15/2023). 

• "A note on the Assmus--Mattson theorem for some non-binary codes (with Eiichi Bannai and Hiroyuki Nakasora)" has been submitted to arXiv (01/06/2023). 

• "Harmonic Tutte polynomials of matroids II (with Thomas Britz, Himadri Shekhar Chakraborty, and Reina Ishikawa)" has been submitted to arXiv. (10/29/2022). 

• "A note on the Assmus--Mattson theorem for some binary codes II (with Eiichi Bannai and Hiroyuki Nakasora)" has been submitted to arXiv. (08/19/2022). 

• "On the Assmus–Mattson type theorem for Type I and even formally self-dual codes (with Hiroyuki Nakasora)" has been submitted to arXiv. (08/18/2022). 

• "Jacobi polynomials and design theory I (with Himadri Shekhar Chakraborty, Manabu Oura, and Yuuho Tanaka)" has been submitted to arXiv. (07/22/2022).  

• "Weight enumerators, intersection enumerators and Jacobi polynomials II (with Himadri Shekhar Chakraborty and Manabu Oura)" has been accepted for publication in Discrete Mathematics, arXiv. (07/12/2022). 

• "On the support t-designs of extremal Type III and IV codes (with Hiroyuki Nakasora)" has been accepted for publication in Applicable Algebra in Engineering, Communication and Computing, arXiv. (07/01/2022). 

• "A note on the Assmus--Mattson theorem for some binary codes (with Hiroyuki Nakasora)" has been accepted for publication in Designs, Codes and Cryptography,  arXiv. (04/20/2022).

• "Weighted Tutte--Grothendieck polynomials for graphs (with Himadri Shekhar Chakraborty and Chong Zheng)" has been submitted to  arXiv. (03/28/2022).  

• "Weight enumerators, intersection enumerators and Jacobi polynomials II (with Himadri Shekhar Chakraborty and Manabu Oura)" has been submitted to  arXiv. (11/19/2021).

• "Tutte polynomial, complete invariant, and theta series" has been published in Graphs and Combinatorics. (10/26/2021).

• "Harmonic Tutte polynomials of matroids (with Himadri Shekhar Chakraborty and Manabu Oura)" has been submitted to arXiv. (10/13/2021). 

• I gave a talk online: International Workshop "P-positivity in Matroid Theory and related Topics" (HP). (10/06/2021). 

• I gave a talk online: Algebra Symposium. (09/03/2021). 

• "Variants of Jacobi polynomials in coding theory (with Himadri Shekhar Chakraborty)" has been accepted for publication in Designs, Codes and Cryptography, arXiv, (08/07/2021).

• "Average of complete joint weight enumerators and self-dual codes" has been published in Designs, Codes and Cryptography. (05/28/2021). 

• "Design-theoretic analogies between codes, lattices, and vertex operator algebras, A note on Assmus-Mattson type theorems" have been published in Designs, Codes and Cryptography. (05/07/2021). 

• I gave a talk online: Waseda Number Theory Seminar (04/09/2021).

• "Average of complete joint weight enumerators and self-dual codes (with Himadri Shekhar Chakraborty)" has been accepted for publication in Designs, Codes and Cryptography, arXiv. (03/23/2021).

• "Variants of Jacobi polynomials in coding theory (with Himadri Shekhar Chakraborty)" has been submitted  to  arXiv. (02/12/2021).

• "A note on Assmus-Mattson type theorems (with Akihiro Munemasa and Hiroyuki Nakasora)" has been accepted for publication in Designs, Codes and Cryptography, arXiv. (01/27/2021).

• "Design-theoretic analogies between codes, lattices, and vertex operator algebras" has been accepted for publication in Designs, Codes and Cryptography, arXiv. (01/05/2021).

Data: 

• Please see this page.