I am interested in category theory and its applications. More specifically, I have worked on the following topics.
Weak higher-dimensional categories à la Batanin and Leinster.
Enriched categorical approach to metric spaces and related structures (quantale-enriched categories).
I am also interested in the following topics.
Higher-dimensional algebraic theories.
Categorical approach to discrete structures (e.g., matroids).
Towards a formal theory of graded monads. (With Shin-ya Katsumata and Paul-André Melliès) Proceedings of the 19th International Conference on Foundations of Software Science and Computation Structures (FoSSaCS 2016), Lecture Notes in Computer Science, 9634:513–530, 2016. [SpringerLink]
Enriched and internal categories: an extensive relationship. (With Thomas Cottrell and John Power) Tbilisi Mathematical Journal, 10(3):239–254, 2017. [Project Euclid]
Higher dimensional categories: induction on extensivity. (With Thomas Cottrell and John Power) Proceedings of the 34th Conference on the Mathematical Foundations of Programming Semantics (MFPS 2018), Electronic Notes in Theoretical Computer Science, 341:73–90, 2018. [ScienceDirect]
Quantaloidal approach to constraint satisfaction. (With Yuni Iwamasa and Kei Kimura) Proceedings of the 4th International Conference on Applied Category Theory (ACT 2021), Electronic Proceedings in Theoretical Computer Science, 372:289–305, 2022. [doi] [EPTCS] [arXiv:2107.01778]
Algorithms for coloring reconfiguration under recolorability digraphs. (With Yuni Iwamasa, Kei Kimura and Akira Suzuki) Proceedings of the 33rd International Symposium on Algorithms and Computation (ISAAC 2022), Leibniz International Proceedings in Informatics (LIPIcs), 248:4, 2022. [doi]
Foundations of Algebraic Theories and Higher Dimensional Categories. PhD thesis, The University of Tokyo, 2019. [arXiv:1903.07030]
A 2-Categorical Study of Graded and Indexed Monads. Master's thesis, The University of Tokyo, 2016. [arXiv:1904.08083]
A Categorical Approach to L-Convexity. Bachelor's thesis, The University of Tokyo, 2014. [arXiv:1904.08413]
Family name: Fujii /ɸudʒiː/ (in kanji, 藤井)
Given name: Soichiro /soːitʃroː/ (in kanji, 宗一郎)
Nickname: Ichi /itʃ/
Preferred gender pronouns: he, him, his
April 2007–March 2010 Todaiji Gakuen High School
April 2010–March 2014 Undergraduate course at Department of Mathematical Engineering and Information Physics, School of Engineering, The University of Tokyo
April 2014–March 2016 Master's course at Department of Computer Science, Graduate School of Information Science and Technology, The University of Tokyo
April 2016–March 2019 PhD course at Department of Computer Science, Graduate School of Information Science and Technology, The University of Tokyo
Email: s.fujii.math [at] gmail.com