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About

Bio

I am Ku-Yu Fan, a PhD student in Mathematics at Nagoya University, advised by Hidekazu Furusho. My research centers on multiple zeta values and their algebraic and analytic structures, including the motivic version of Yamamoto’s integral, coproduct formulas, Schur multiple zeta values, arborifications of multiple zeta values, and p-adic multiple zeta values, p-adic multiple polylogarithms, and p-adic L-functions. I am open to discussion and collaboration.

Education

  • 2024–Present
    Doctor of Philosophy (Mathematics), Graduate School of Mathematics, Nagoya University (NU) (Advisor: Hidekazu Furusho)
  • 2021–2024
    Master of Science (Mathematics), Institute of Mathematics, National Taiwan University (NTU) (Advisor: Nobuo Sato)
  • 2017–2021
    Bachelor of Science (Mathematics), Department of Mathematics, National Tsing Hua University (NTHU)

Updates

  • A project on maps between arborifications of multiple zeta values and the related error term will be uploaded to arXiv soon; talks are planned for the MSJ Autumn Meeting 2025 and for the 2025 RIMS Symposia (open) “Various Aspects of Multiple Zeta Values”.
  • Current focus: p-adic multiple zeta values, p-adic multiple polylogarithms, and p-adic L-functions.

Publications

Published

Under Review

  • 〈A map between arborifications of multiple zeta values〉
    Ku-Yu Fan Submitted to Journal of Algebra 2025

arXiv / Preprints

Talks and Conferences

Upcoming

Past

Teaching

Courses

  • Nagoya University Spring 2025 Calculus Instructor: Hidetoshi Awata Teaching Assistant: Ku-Yu Fan Materials: Introduction to Calculus, by Toshitsune Miyake
  • National Taiwan University Spring 2024 Calculus Instructor: Seonghyeon Jeong Teaching Assistant: Ku-Yu Fan, Yi-An Wu Materials: James Stewart, Daniel Clegg, and Saleem Watson, Calculus: Early Transcendentals, Ninth Edition.
  • National Taiwan University Fall 2023 Calculus Instructor: Seonghyeon Jeong Teaching Assistant: Ku-Yu Fan, Yi-An Wu Materials: James Stewart, Daniel Clegg, and Saleem Watson, Calculus: Early Transcendentals, Ninth Edition.
  • National Taiwan University Spring 2023 Calculus Instructor: Nobuo Sato Teaching Assistant: Ku-Yu Fan, Yi-An Wu Materials: James Stewart, Daniel Clegg, and Saleem Watson, Calculus: Early Transcendentals, Ninth Edition.
  • National Taiwan University Spring 2023 Modern Algebra Instructor: Yi-Fan Yang Teaching Assistant: Ku-Yu Fan Materials: Dummit and Foote, Abstract Algebra. Hungerford, Algebra.
  • National Taiwan University Fall 2022 Calculus Instructor: Nobuo Sato Teaching Assistant: Ku-Yu Fan, Yi-An Wu Materials: James Stewart, Daniel Clegg, and Saleem Watson, Calculus: Early Transcendentals, Ninth Edition.
  • National Taiwan University Fall 2022 Modern Algebra Instructor: Yi-Fan Yang Teaching Assistant: Ku-Yu Fan Materials: Dummit and Foote, Abstract Algebra. Hungerford, Algebra.
  • National Taiwan University Spring 2022 Linear Algebra Instructor: Wu-yen Chuang Teaching Assistant: Ku-Yu Fan, Te-Lun Lu, Zhi-Lin Zhang, Chin-Bin Hsu Materials: Linear Algebra, Fourth Edition by Stephen Friedberg, Arnold Insel, and Lawrence Spence
  • National Taiwan University Fall 2021 Linear Algebra Instructor: Wu-yen Chuang Teaching Assistant: Ku-Yu Fan, Te-Lun Lu, Zhi-Lin Zhang, Chin-Bin Hsu Materials: Linear Algebra, Fourth Edition by Stephen Friedberg, Arnold Insel, and Lawrence Spence
  • National Tsing Hua University Spring 2021 Elementary Number Theory Instructor: Fu-Tsun Wei Teaching Assistant: Ku-Yu Fan, Lin, Zi-Min Materials: David M. Burton, Elementary Number Theory.
  • National Tsing Hua University Spring 2021 Calculus Instructor: Jiun-Cheng Chen Teaching Assistant: Ku-Yu Fan, Liang, Ruei-Shen, Jing-Dian Hsu Materials: Salas, Hille, and Etgen, Calculus — One and Several Variables, John Wiley & Sons, Tenth Edition, 2007.
  • National Tsing Hua University Fall 2020 Calculus Instructor: Jiun-Cheng Chen Teaching Assistant: Ku-Yu Fan, Liang, Ruei-Shen, Jing-Dian Hsu Materials: Salas, Hille, and Etgen, Calculus — One and Several Variables, John Wiley & Sons, Tenth Edition, 2007.
  • National Tsing Hua University Spring 2020 Advanced Calculus Instructor: Jin-Cheng Jiang Teaching Assistant: Ku-Yu Fan, Chao-Wei Chen, ZI-YI YANG Materials: Introduction to Analysis, Fourth Edition by William R. Wade.

Other Activities

  • Organizer: National Tsing Hua University, Nan Da Campus Event: Northern Region High School Scientific Research Talent Program – Mathematics Group Date: 2019-04-21 Topic: Pigeonhole Principle and Burnside's Lemma Lecturer: Ku-Yu Fan Materials: Pigeonhole Principle and Burnside's Lemma
  • Organizer: Resources Center for the Gifted and Talented New Taipei City Event: Junior High School Gifted Program Winter Course “When Science Meets Arts” Date: 2019-01-22 Topic: Mathematical Puzzle Games Lecturer: Ku-Yu Fan Materials: Rhombic dodecahedron puzzle and hexagonal puzzle
  • Organizer: Resources Center for the Gifted and Talented New Taipei City Event: In-service Training for Junior High School Teachers Date: 2019-01-16 Topic: Educational Puzzles and Mathematics Teaching Lecturer: Ku-Yu Fan Materials: Rhombic dodecahedron puzzle and hexagonal puzzle
  • Organizer:The Mathematical Society of the Republic of China Event: 2018 Mathematical Society of the Republic of China Annual Meeting – Popular Mathematics Exhibition Date: 2018-12-08 – 2018-12-09 Theme: Co-creation with Teachers and Students · Cultural and Creative Puzzles – Rhombic Dodecahedron Blocks Docent: Ku-Yu Fan Materials: Rhombic dodecahedron puzzle
  • Organizer: National Tsing Hua University, Nan Da Campus Event: Northern Region High School Scientific Research Talent Program – Mathematics Group Date: 2018-11-11 Topic: Pigeonhole Principle Lecturer: Ku-Yu Fan Materials: Pigeonhole Principle
  • Organizer: Institute of Mathematics, Academia Sinica Event: Academia Sinica Open House Date: 2018-10-27 Theme: Rhombic dodecahedron puzzle Docent: Ku-Yu Fan Materials: Rhombic dodecahedron puzzle
  • Organizer: National Tsing Hua University, Nan Da Campus Event: Indigenous High School Student Mathematics Talent Program Date: 2018-08-09 Topic: Mathematics in Puzzle Toys Lecturer: Wen-Liang Hung; Assistant Lecturer: Ku-Yu Fan Materials: Hexagonal puzzle, Log stacker, Bermuda triangle, Stark raving cubes, and Rush hour
  • Organizer: Ginling Girls' High School Event: Mathematics Special Lecture Date: 2018-02-05 Topic: Mathematical Toys and Mathematical Olympiad Lecturer: Wen-Liang Hung; Assistant for Mathematical Toys: Ku-Yu Fan Materials: Hexagonal puzzle, Log stacker, Bermuda triangle, Stark raving cubes, Slides
  • Organizer: National Central University Event: Indigenous High School Student Mathematics Talent Program Date: 2018-02-01 Topic: Puzzle Lecturer: Wen-Liang Hung; Assistant Lecturer: Ku-Yu Fan Materials: Hexagonal puzzle, Log stacker, Bermuda triangle, Stark raving cubes, and Rush hour
  • Organizer: New Taipei Municipal Wen Shan Junior High School Event: Elementary School Science Camp Date: 2017-12-16 Topic: Mathematics Games (Puzzle Blocks) Lecturer: Ku-Yu Fan Materials: Hexagonal puzzle
  • Organizer: National Hsinchu University of Education (now National Tsing Hua University, Nan Da Campus) Event: Northern Region High School Scientific Research Talent Program – Mathematics Group Date: 2017-11-19 Topic: Design Ideas for Packing Puzzles Lecturer: Ku-Yu Fan Materials: Plane Packing Problems, Hexagonal puzzle
  • Organizer: Institute of Mathematics, Academia Sinica Event: Academia Sinica Open House “Beyond Limits – Educational Puzzles Exhibition” Date: 2017-10-28 Theme: Hexagonal Prism Puzzle Docent: Ku-Yu Fan Materials: Hexagonal puzzle

Patents

  • SINGLE STACKING ELEMENT STRUCTURE AND SINGLE STACKING COMPONENT STRUCTURE FOR MULTI-STYLE COMBINATIONSGranted
    2021 Inventors: Ku-Yu Fan, Wen-Liang Hung Taiwan patent link

    Summary: A single stacking element structure is cut from a truncated regular octahedron. The single stacking element structure includes a surface having a regular hexagonal shape and three surfaces having regular quadrilateral shapes. The surface having a regular hexagonal shape is connected to the three surfaces having the regular quadrilateral shapes. A closed line is formed on six surfaces of the truncated regular octahedron having the regular hexagonal shapes. The closed line is passed through a center point of a connecting edge between any adjacent two of the six surfaces having the regular hexagonal shapes. A geometric center point of the truncated regular octahedron is connected to a plurality of points of the closed line to form a plurality of connecting lines. The connecting lines form a plurality of cutting surfaces. The single stacking element structure is cut into one of two three-dimensional structures from the truncated regular octahedron according to the cutting surface, so that the single stacking element structure is half of the truncated regular octahedron. Therefore, the present disclosure uses a special solid as a single element structure, and a plurality of single element structures can be combined to form different structures to achieve particular configurations. In practice, the single stacking element structures can be both educational and fun, as users can develop cognition of space geometry, organization structure and creativity at the same time.

  • RHOMBIC DODECAHEDRON PUZZLE AND MULTIPLE RHOMBIC DODECAHEDRON PUZZLEGranted
    2018 Inventors: Ku-Yu Fan, Wen-Liang Hung Taiwan patent link United States and International link one United States and International link two

    Summary: A rhombic dodecahedron puzzle and a multiple rhombic dodecahedron puzzle are proposed. The multiple rhombic dodecahedron puzzle includes a plurality of wooden puzzles. The wooden puzzles are arranged in a multiple rhombic dodecahedron. The multiple rhombic dodecahedron is equivalent to a three-dimensional structure formed by connecting a plurality of rhombic dodecahedrons. Each of the wooden puzzles includes two unit elements which are connected to each other and are the same as each other. Each of the two unit elements has a plurality of surfaces, and each of the surfaces has a diamond shape or a triangular shape. Two adjacent surfaces having the triangular shape are connected to each other to form a concave shape. The surfaces are surrounded to form a closed space. Therefore, the multiple rhombic dodecahedron puzzle of the present disclosure utilizes specific wooden puzzles to form many types of multiple rhombic dodecahedron puzzles, so that the multiple rhombic dodecahedron puzzle of the present disclosure is appropriate for all ages and can cultivate the abilities of spatial rotation and mental rotation. As compared to conventional puzzles, the unique shapes of the present disclosure increase challenge and enhance the problem-solving strategies in geometry. Moreover, the present disclosure provides a very enjoyable and educational experience.

  • HEXAGONAL PRISMATIC PACKING PUZZLEGranted
    2017 Inventors: Ku-Yu Fan, Wen-Liang Hung Taiwan patent link United States and International link Product introduction video

    Summary: A hexagonal prismatic packing puzzle is disclosed, which includes 18 different configurations. Each of the puzzles is composed by a plurality of unit components and the puzzles can be pieced together into a hexagonal prism. The unit components are selected from a group consisting of a first unit component and a second unit component. The volume of the first unit component is larger than that of the second unit component. The disclosure does not have an only solution or a specific solution. The sense of space can be developed, and the understanding of geometric figures can also be improved. The thinking in multiple ways can be trained, so as to achieve the effect of combining education with recreation in the process of thinking.

Contact

For collaboration or talk invitations, please email ku-yu.fan.d2@math.nagoya-u.ac.jp, or use the form below.