Research

Research Activities

Publications

  • 2. K. Iwakura, Non-singular extensions of horizontal stable fold maps from surfaces to the plane, Topology and its Application 378 (2026).
  • 1. K. Iwakura, Non-singular extensions of circle-valued Morse functions, Advanced Studies in Pure Mathematics 89 "Deepening and Evolution of Applied Singularity Theory" (2025).

Preprints / In Preparation (ArXiv URL)

  • 2. S. Kudo, K. Iwakura, A. Satake, Optimal Signaling Strategy for Plant-Plant Communication Mediated by BVOCs, In preparation.
  • 1. K. Iwakura, Topology of boundary special generic maps into the Euclidean spaces, (2025, 8), arXiv:2508.01629, Submitted.

Proceedings

  • 3. K. Iwakura, Non-singular extensions of circle-valued Morse functions, RIMS Kôkyûroku No.2281, p.144--p.152. (URL)
  • 2. K. Iwakura, Non-singular extensions of circle-valued Morse functions, Mathematics of Knot VI Abstract. (URL)
  • 1. K. Iwakura, Non-singular extensions of circle-valued Morse functions, Hokkaido University Mathematical Proceedings Vol.186, 20th Young Mathematicians’ Conference: Intersection of Mathematics, p.405--p.412. (URL)

Presentations (Mathematics)

  • 19. Topology of boundary special generic maps, Kansas State University Topology Seminar, Feb 7, 2026 (oral).
  • 18. Topology of boundary special generic maps, Fukuoka University Topology Seminar, Dec 15, 2025 (oral).
  • 17. Topology of boundary special generic maps, Singularity Theory of Differentiable Maps and its Applications, Nov 26–28, 2025 (oral).
  • 16. Topology of boundary special generic maps, Singularity Theory Freshman Seminar 2025, Nov 4–6, 2025 (oral, invited).
  • 15. Topology of boundary special generic maps, Saga Souhatsu Mathematical Seminar, Sep 30, 2025 (oral, invited).
  • 14. Topology of boundary special generic maps, 61st Topology Freshman Seminar, Aug 20–23, 2025 (oral).
  • 13. Topology of boundary special generic maps, 8th International Workshop on Singularities in Geometry and Applications - València VIII, Jun 29–Jul 4, 2025 (oral, international).
  • 12. Non-singular extensions of horizontal stable fold maps, Meeting of the Mathematical Society of Japan 2025, Mar 18–21, 2025 (oral).
  • 11. Non-singular extensions of horizontal stable fold maps, Geometry and Singularities 2025, Mar 3–4, 2025 (oral, invited).
  • 10. Non-singular extensions of circle-valued Morse functions, Topology Friday Seminar, Jan 14, 2025 (oral, invited).
  • 9. Non-singular extensions of horizontal stable fold maps, Japanese-Australian Workshop on Real and Complex Singularities, Nov 4–7, 2024 (poster, international).
  • 8. Non-singular extensions of stable fold maps, 60th Topology Freshman Seminar, Aug 28–31, 2024 (oral).
  • 7. Non-singular extensions of stable fold maps from surfaces into the plane, 18th International Workshop on Real and Complex Singularities, Jul 21–26, 2024 (poster, international).
  • 6. Non-singular extensions of stable fold maps from surfaces into the plane, Singularity Theory and its related fields, Jun 20–22, 2024 (oral).
  • 5. Non-singular extensions of circle-valued Morse functions, The 20th Mathematics Conference for Young Researchers, Mar 4–8, 2024 (oral).
  • 4. Non-singular extensions of circle-valued Morse functions, Mathematics of Knot VI, Dec 23–26, 2023 (oral).
  • 3. Non-singular extensions of circle-valued Morse functions, Expansion of Singularity Theory, Nov 27–29, 2023 (oral).
  • 2. Non-singular extensions of circle-valued Morse functions, 149th Kyushu Branch Meeting of the Mathematical Society of Japan, Oct 29, 2023 (oral).
  • 1. Singularity theory on manifolds with boundary, 59th Topology Freshman Seminar, Aug 17–20, 2023 (oral).

Presentations (Biology)

  • 3. Mathematical Modeling of Plant-to-Plant Communication, Interdisciplinary Exchange Meeting for Young Mathematicians 2025, Mar 16–17, 2025 (poster, invited) (joint work with Kudo & Satake, Kyushu Univ.).
  • 2. Mathematical Model of Plant-to-Plant Communication and its Applications to Evolutionary Research, 2nd Plant-Climate Feedback Young Researchers’ Meeting, Dec 11–13, 2024 (oral) (joint work with Kudo & Satake, Kyushu Univ.).
  • 1. The Mathematical Model of Plant-to-Plant Communications and Its Applications to Evolutionary Research, Plant Molecular Phenology and Climate Feedbacks Mediated by BVOCs, Oct 28–31, 2024 (poster, international) (joint work with Kudo & Satake, Kyushu Univ.).

Awards

  • Dean's Award, Faculty of Mathematics, Mar 25, 2026.
  • Kyushu University Spring Graduation Student Award, Mar 25, 2025.
  • 2nd Plant-Climate Feedback Young Researchers’ Excellent Oral Presentation Award, Dec 13, 2024. (URL)
  • PCF2024 Best Poster Award, Oct 30, 2024. (URL)
  • 9th Kyushu Young Mathematicians Presentation Award, Feb 17, 2024. (URL)

Other Seminars/Conferences Attended

  • SLMath Summer Graduate School, h-principle. (URL)
  • Topology Freshman Seminar. (URL)