Yuji Terashima - My portal

Profile Information

Affiliation: Graduate School of Science, Tohoku University

Degree: Doctor of Mathematical Science

researchmap Member ID: 5000064990

Research Interests

Topology, Mathematical Physics

Papers

Arithmetic Orr Invariants of Absolute Galois Groups

Hisatoshi Kodani, Yuji Terashima

International Mathematics Research Notices, 138, Jun 13, 2022 Peer-reviewed
On adjoint homological Selmer modules for SL(2)-representations of knot groups

Takahiro Kitayama, Masanori Morishita, Ryoto Tange, Yuji Terashima

to appear in International Mathematics Research Notices, arXiv:2205.05401, May, 2022
Modular transformations of homological blocks for Seifert fibered homology 3-spheres

Toshiki Matsusaka, Yuji Terashima

to appear in Communications in Mathematical Physics, arXiv:2112.06210, Dec, 2021
The colored Jones polynomials as vortex partition functions

Masahide Manabe, Seiji Terashima, Yuji Terashima

Journal of High Energy Physics, 2021(12), Dec, 2021 Peer-reviewed
The Heisenberg double of involutory Hopf algebras and invariants of closed 3-manifolds

Serban Matei Mihalache, Sakie Suzuki, Yuji Terashima

to appear in Algebraic and Geometric Topology, arXiv:2104.03037, Apr, 2021
Witten–Reshetikhin–Turaev Function for a Knot in Seifert Manifolds

Hiroyuki Fuji, Kohei Iwaki, Hitoshi Murakami, Yuji Terashima

Communications in Mathematical Physics, Mar, 2021 Peer-reviewed
Cluster variables, ancestral triangles and Alexander polynomials

Wataru Nagai, Yuji Terashima

Advances in Mathematics, 363 106965-106965, Mar, 2020 Peer-reviewed
Hyperbolic 3-manifolds and cluster algebras

Kentaro Nagao, Yuji Terashima, Masahito Yamazaki

Nagoya Mathematical Journal, 235 1-25, Sep, 2019 Peer-reviewed
Quiver Mutation Sequences and q-Binomial Identities

Akishi Kato, Yuma Mizuno, Yuji Terashima

International Mathematics Research Notices, 2018(23) 7335-7358, Dec, 2018 Peer-reviewed
On certain L-functions for deformations of knot group representations

Takahiro Kitayama, Masanori Morishita, Ryoto Tange, Yuji Terashima

Transactions of the American Mathematical Society, 370(5) 3171-3195, Nov, 2017 Peer-reviewed
p-Johnson homomorphisms and pro-p groups

Masanori Morishita, Yuji Terashima

Journal of Algebra, 479 102-136, Jun, 2017 Peer-reviewed
On the universal deformations for ${\rm SL}_2$-representations of knot groups

Masanori Morishita, Yu Takakura, Yuji Terashima, Jun Ueki

Tohoku Mathematical Journal, 69(1) 67-84, Apr, 2017 Peer-reviewed
Arithmetic Topology in Ihara Theory

Hisatoshi Kodani, Masanori Morishita, Yuji Terashima

Publications of the Research Institute for Mathematical Sciences, 53(4) 629-688, 2017 Peer-reviewed
Characteristic classes of fiber bundles

Takahiro Matsuyuki, Yuji Terashima

Algebraic and Geometric Topology, 16(5) 3029-3050, 2016 Peer-reviewed
Quantum Dilogarithms and Partition q-Series

Akishi Kato, Yuji Terashima

Communications in Mathematical Physics, 338(1) 457-481, Aug, 2015 Peer-reviewed
Quiver Mutation Loops and Partition q-Series

Akishi Kato, Yuji Terashima

Communications in Mathematical Physics, 336(2) 811-830, Jun, 2015 Peer-reviewed
Torsion functions on moduli spaces in view of the cluster algebra

Takahiro Kitayama, Yuji Terashima

Geometriae Dedicata, 175(1) 125-143, Apr, 2015 Peer-reviewed
N=2 theories from cluster algebras

Y. Terashima, M. Yamazaki

Progress of Theoretical and Experimental Physics, 2014(2) 23B01, Feb 1, 2014 Peer-reviewed
Semiclassical analysis of the 3d/3d relation

Yuji Terashima, Masahito Yamazaki

Physical Review D, 88(2), Jul 18, 2013 Peer-reviewed
Emergent 3-Manifolds from Four Dimensional Superconformal Indices

Yuji Terashima, Masahito Yamazaki

Physical Review Letters, 109(9), Aug 28, 2012 Peer-reviewed

Research Areas

Natural sciences / Geometry /

Research Projects

Quantum Modular Forms and their Applications

Grants-in-Aid for Scientific Research, Grant-in-Aid for Scientific Research (B), Japan Society for the Promotion of Science, Apr, 2022 - Mar, 2027
二次特性類と多重対数関数の幾何

科学研究費助成事業, 基盤研究(C), 日本学術振興会, Apr, 2021 - Mar, 2025

寺嶋郁二
Geometry of secondary characteristic classes

Grants-in-Aid for Scientific Research, Grant-in-Aid for Scientific Research (C), Japan Society for the Promotion of Science, Apr, 2017 - Mar, 2021

Terashima Yuji
Geometry of secondary characteristic classes

Grants-in-Aid for Scientific Research, Grant-in-Aid for Scientific Research (C), Japan Society for the Promotion of Science, Apr, 2013 - Mar, 2017

Terashima Yuji
Explicit constructions of secondary characteristic classes

Grants-in-Aid for Scientific Research, Grant-in-Aid for Young Scientists (B), Japan Society for the Promotion of Science, 2010 - 2012

TERASHIMA Yuji
Developing Arithmetic Topology

Grants-in-Aid for Scientific Research, Grant-in-Aid for Scientific Research (C), Japan Society for the Promotion of Science, 2007 - 2008
中興束の幾何学とその無限小としての超多様体上のホモロジーベクトル場

科学研究費助成事業, 若手研究(B), 日本学術振興会, 2005 - 2008

寺嶋郁二
Stady of Arithmcfc Topology

Grants-in-Aid for Scientific Research, Grant-in-Aid for Scientific Research (C), Japan Society for the Promotion of Science, 2005 - 2006

MORISHITA Masanori, TAGUCHI Yushiro, KANHARA Masato, FUJII Michihiko, TERASHMA Yuji, KOHNO Toshtake
Various inbariants appearing in low-dimensional topology

Grants-in-Aid for Scientific Research, Grant-in-Aid for Scientific Research (B), Japan Society for the Promotion of Science, 2003 - 2006

MURAKAMI Hitoshi, TERASHIMA Yuji, ISHIKAWA Masaharu, KITANO Teruaki, USHIJIMA Akira, ENDO Hisaaki
非線形シグマ模型における位相不変量とアフィン・リー環の表現論

科学研究費助成事業, 特別研究員奨励費, 日本学術振興会, 2001 - 2004

寺嶋郁二