日本語
 Faculty
 Division of Natural Sciences
 Research Group of Mathematics
Assistant Professor
MURAI   Hiroko

Other faculty or department / position
Faculty of Science Department of Physics and Mathematics Courses of Mathematics
Graduate School of Humanities and Sciences Master's Course Department of Mathematics

Career
Tokyo Denki University School of Information Environment
Assistant Professor  2008/04/01-2009/03/31 
Faculty of Science,Nara Women'sUniversity
Assistant Professor  2009/04/01-2012/03/31 
Faculty of Science,Nara Women'sUniversity
Assistant Professor  2012/04/01-Present 

Graduate school
Nara Women's University  Doctor later  Graduate School, Doctral Research Course in Human Culture    2007/03  Completed  Domestic   

School
Kyoto University  Faculty of Science    2002/03  Graduated  Domestic   

Academic degrees
博士(理学)  Nara Women's University  2007/03 

Current research field
Geometry 

Research keywords
knot,manifold,foliation,origami,flat folding 

Subject of research
Foliations on three dimensional manifolds  3-manifold, Foliation, Knot  2009-2012 

Papers
Gap of codimension one foliations  Kobe Journal of Mathematics  Academic Journal  Only  29, 1-24  2012         
Gap of the depths of leaves of foliations  Proceedings of Intelligence of Low Dimensional Topology 2006, Series on Knots and Everything  Academic Journal  Only  40, 223-230  2007         
Depths of the Foliations on 3-manifolds Each of Which Admits Exactly One Depth 0 Leaf  Journal of Knot Theory and its Ramifications  Academic Journal  Only  16/ 5, 641-669  2007         
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Research presentations
Etc.  Complexes induced from spherical curves and distances derived from them  研究集会「結び目の数学X」  2017/12/25 
Symposium  A construction of flat foldable origami via similarity structure  Low dimensional topology and number theory VII  2015/03/28 
Symposium  A Haken type theorem on intersections of essential laminations and genus 2 Heegaard surfaces  Workshop on low dimensional topology in Shanghai and Suzhou  2011 
Etc.  A Haken type theorem on intersections of essential laminations and genus 2 Heegaard surfaces  Workshop on topology and geometry - Heegaard splitting of 3-manifolds -  2011 
Symposium  Toward Haken type theorems for essential laminations in 3-manifolds : Proposal for fundamental settings and applications  The Seventh East Asian School of Knots and Related Topics  2011 
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Alloted class
集合・位相演習 
線型代数学Ⅰ演習 
幾何学的トポロジー 
線形代数学Ⅰ演習 
集合・位相演習 
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Memberships of academic societies
Mathematical Society of Japan -Present  Domestic