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Yuka Kotorii
[edit]Yuka Kotorii is an Associate Professor at Hiroshima University, Graduate School of Advanced Science and Engineering, Mathematics, who has also held the position of Deputy Director for Outreach & Dissemination at Sustainability with Knotted Chiral Meta Matter (SKCM2), Hiroshima University. She is also a Visiting Scientist at the Interdisciplinary Theoretical and Mathematical Sciences Program, RIKEN[1] [2].
Kotorii's interdisciplinary studies explore knot theory in topology through the lens of combinatorial and algebraic approaches. She adopts local deformation theory to deepen her understanding of link invariants and classifications. Kotorii's findings have shed light on invariants' properties, such as higher-order linking numbers and classification for link-homotopy. [3]
Research activities
[edit]Kotorii has actively participated in the academic community, which resulted in several of her academic achievements. She has published a selection of journal articles, including but not limited to, Finite type invariants for cyclic equivalence classes of nanophrases[4] for Fundamental Mathematics[5] in 2014, Milnor invariants of length 2k+2 for links with vanishing Milnor invariants of length[6] for Topology and its Application in 2015, and A relation between Milnor's mu-invariants and HOMFLYPT polynomials[7] for JOURNAL OF KNOT THEORY AND ITS RAMIFICATIONS in 2016[8]. She also joined a pool of researchers to make a 1-minute presentation at the Women in Mathematics conference in 2022. [9]
- ^ "YUKA KOTORII (Graduate School of Advanced Science and Engineering)". seeds.office.hiroshima-u.ac.jp. Retrieved 2024-02-15.
{{cite web}}: no-break space character in|title=at position 13 (help) - ^ "Yuka Kotorii". WPI-SKCM2: Intl Institute for Sustainability with Knotted Chiral Meta Matter. Retrieved 2024-02-15.
- ^ "Yuka Kotorii". WPI-SKCM2: Intl Institute for Sustainability with Knotted Chiral Meta Matter. Retrieved 2024-02-15.
- ^ Kotorii, Yuka (2014). "Finite type invariants for cyclic equivalence classes of nanophrases". Fundamenta Mathematicae. 225 (1): 211–228. doi:10.4064/fm225-1-9. ISSN 0016-2736.
- ^ "Fundamentals of Mathematics". Open Textbook Library. 2008. Retrieved 2024-02-15.
- ^ Kotorii, Yuka; Yasuhara, Akira (2015-04). "Milnor invariants of length <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si1.gif" overflow="scroll"><mml:mn>2</mml:mn><mml:mi>k</mml:mi><mml:mo>+</mml:mo><mml:mn>2</mml:mn></mml:math> for links with vanishing Milnor invariants of length ≤k". Topology and its Applications. 184: 87–100. doi:10.1016/j.topol.2015.01.003. ISSN 0166-8641.
{{cite journal}}: Check date values in:|date=(help) - ^ Kotorii, Yuka (2016-11). "A relation between Milnor's μ-invariants and HOMFLYPT polynomials". Journal of Knot Theory and Its Ramifications. 25 (13): 1650072. doi:10.1142/s0218216516500723. ISSN 0218-2165.
{{cite journal}}: Check date values in:|date=(help) - ^ "YUKA KOTORII (Graduate School of Advanced Science and Engineering)". seeds.office.hiroshima-u.ac.jp. Retrieved 2024-02-15.
{{cite web}}: no-break space character in|title=at position 13 (help) - ^ inc, Pol. "Women in Mathematics". Women in Mathematics (in Japanese). Retrieved 2024-02-15.
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