SAKASAI Takuya

J-GLOBAL         Last updated: Mar 12, 2019 at 17:39
 
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Name
SAKASAI Takuya
Affiliation
The University of Tokyo
Section
Graduate School of Mathematical Sciences

Research Interests

 
 

Research Areas

 
 

Academic & Professional Experience

 
Oct 2008
 - 
Mar 2012
Assistant Professor, Tokyo Institute of Technology Graduate School of Science and Engineering, Department of Mathematics, Graduate School of Science and Engineering Mathematics
 
2008
 - 
2008
:
 
2008
 - 
2008
:The University of Tokyo Graduate School of Mathematical Sciences Project Assistant Professor
 
2007
 - 
2008
:The University of Tokyo
 
2008
   
 
-:
 
2006
 - 
2007
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2005
 - 
2006
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Education

 
 
 - 
2006
Mathematical Sciences, Graduate School of Mathematical Sciences, The University of Tokyo
 

Published Papers

 
An abelian quotient of the symplectic derivation Lie algebra of the free Lie algebra.
MORITA Shigeyuki, SAKASAI Takuya, SUZUKI Masaaki
Experimental Mathematics   27 302-315   2018   [Refereed]
Symmetry of symplectic derivation Lie algebras of free Lie algebras
MORITA Shigeyuki, SAKASAI Takuya, SUZUKI Masaaki
RIMS Kôkyûroku Bessatsu   B66 185-193   2017   [Refereed][Invited]
Structure of symplectic invariant Lie subalgebras of symplectic derivation Lie algebras
MORITA Shigeyuki, SAKASAI Takuya, SUZUKI Masaaki
Advances in Mathematics   282 291-334   2015   [Refereed]
The Magnus representation and homology cobordism groups of homology cylinders
SAKASAI Takuya
Journal of Mathematical Sciences, the University of Tokyo   22 741-770   2015   [Refereed][Invited]
MORITA Shigeyuki, SAKASAI Takuya, SUZUKI Masaaki
Quantum Topology   6 139-182   2015   [Refereed]
MORITA Shigeyuki, SAKASAI Takuya, SUZUKI Masaaki
Experimental Mathematics   24 93-97   2015   [Refereed]
MORITA Shigeyuki, SAKASAI Takuya, SUZUKI Masaaki
Duke Mathematical Journal   162(5) 965-1002   2013   [Refereed]
GODA Hiroshi, SAKASAI Takuya
Tokyo Journal of Mathematics   36(1) 85-111   2013   [Refereed]
SAKASAI Takuya
Algebraic & Geometric Topology   12 267-291   2012   [Refereed]
GODA Hiroshi, SAKASAI Takuya
Journal of Knot Theory and Its Ramifications   20 1355-1380   2011   [Refereed]
GODA Hiroshi, SAKASAI Takuya
Geometriae Dedicata   151 387-396   2011   [Refereed]
SAKASAI Takuya
Algebraic & Geometric Topology   8 803-848   2008   [Refereed]
The symplecticity of the Magnus representation for homology cobordisms of surfaces
SAKASAI Takuya
Bulletin of the Australian Mathematical Society   76 421-431   2007   [Refereed]
SAKASAI Takuya
Mathematical Proceedings of the Cambridge Philosophical Society   143 627-648   2007   [Refereed]
Homology cylinders and the acyclic closure of a free group
SAKASAI Takuya
Algebraic & Geometric Topology   6 603-631   2006   [Refereed]
SAKASAI Takuya
Topology and its Applications   148 83-111   2005   [Refereed]
Morita's trace maps on the group of homology cobordisms
MASSUYEAU Gwénaël, SAKASAI Takuya
Journal of Topology and Analysis      2018   [Refereed]

Misc

 
Johnson-Morita theory in mapping class groups and monoids of homology cobordisms of surfaces
SAKASAI Takuya
Winter Braids Lecture Notes   3 1-25   2016   [Refereed][Invited]
Johnson's homomorphisms and the rational cohomology of subgroups of the mapping class group
SAKASAI Takuya
Groups of Diffeomorphisms, Advanced studies in pure mathematics   52 93-109   2008   [Refereed]
Higher-order Alexander invariants for homology cobordisms of a surface
SAKASAI Takuya
Intelligence of Low Dimensional Topology 2006, Series on Knots and Everything   40 271-278   May 2007   [Refereed]

Books etc

 
A survey of Magnus representations for mapping class groups and homology cobordisms of surfaces
SAKASAI Takuya (Part:Contributor, Handbook of Teichmüller theory volume III, 531-594)
European Mathematical Society   Jun 2012   

Association Memberships