Research output per year
Research output per year
Personal profile
Author IDs
ORCID iD: 0000-0002-4569-3248
Scopus Author ID: 7003339717
Impact
Qualifications (Brief)
PhD – Université de Rennes, France
PhD – Universidad de Cantabria, Spain (Premio extraordinario de doctorade)
Biography
Prof Felipe Cucker’s main research focus is on the foundational aspects of numerical algorithms. This encompasses a variety of issues from the structural complexity of algorithms over the real numbers to the roundoff analysis of specific algorithms, from the smoothed analysis of classes of condition numbers to the design of numerical algorithms for specific problems. In addition, he is also interested on other areas of research such as learning theory or the mathematics of emergent behaviour.
Prof Cucker has been a member of the Board of Directors of the Society for the Foundations of Computational Mathematics since its creation. He is presently the Chairman of the Society. He either is or was a member of the editorial board of the journals "Foundations of Computational Mathematics", "Journal of complexity", "SIAM Journal on Optimization," and "Theoretical Computer Science". In 2005 he was made Foreign Member of the Real Academia de Ciencias y Artes de Barcelona.
Editor or Editorial Membership
- Member of the Editorial Board of the Journal of Complexity.
- Managing Editor of the Journal of Foundations on Computational Mathematics.
- Managing Editor of the book series Library of Computational Mathematics published by Cambridge University Press.
Research Interests/Areas
- Complexity and Computation
It evolved from real algebra and geometry (in both theoretical and computational aspects) to complexity theory. Between 1983 and 1986 it dealt with the properties of rings of Nash functions over algebraic varieties. From 1987 to 1990 the focus of the research was on the algorithmic side of real algebraic geometry, i.e., the design and analysis of algorithms for problems in this field. From 1990, it deals with the structural approach to the complexity of these problems following the Blum, Shub & Smale model. In the last few years it evolved to include the numerical analysis of some algorithms in optimization. Very recently, it has also included areas such as learning theory and problems like the mathematical modelling of human language evolution.
Services outside CityUHK
- Member of the board of directors of FoCM (Society for the Foundations of Computational Mathematics) since its creation in 1995.
Expertise related to UN Sustainable Development Goals
In 2015, UN member states agreed to 17 global Sustainable Development Goals (SDGs) to end poverty, protect the planet and ensure prosperity for all. This person’s work contributes towards the following SDG(s):
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SDG 3 Good Health and Well-being -
SDG 8 Decent Work and Economic Growth
Fingerprint
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Collaborations from the last five years
Recent external collaboration based on locations. Dive into details by clicking on the dots or
Research output
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Rigid continuation paths II. structured polynomial systems
Bürgisser, P., Cucker, F. & Lairez, P., 2023, In: Forum of Mathematics, Pi. 11, e12.Research output: Journal Publications and Reviews › RGC 21 - Publication in refereed journal › peer-review
Open AccessFile1 Link opens in a new tab Citation (Scopus)54 Downloads (CityUHK Scholars) -
Functional norms, condition numbers and numerical algorithms in algebraic geometry
Cucker, F., Ergür, A. A. & Tonelli-Cueto, J., 2022, In: Forum of Mathematics, Sigma. 10, e103.Research output: Journal Publications and Reviews › RGC 21 - Publication in refereed journal › peer-review
Open AccessFile1 Link opens in a new tab Citation (Scopus)50 Downloads (CityUHK Scholars) -
On the Complexity of the Plantinga–Vegter Algorithm
Cucker, F., Ergür, A. A. & Tonelli-Cueto, J., Oct 2022, In: Discrete & Computational Geometry. 68, 3, p. 664–708Research output: Journal Publications and Reviews › RGC 21 - Publication in refereed journal › peer-review
3 Link opens in a new tab Citations (Scopus) -
Computing the Homology of Semialgebraic Sets. II: General Formulas
Bürgisser, P., Cucker, F. & Tonelli-Cueto, J., Oct 2021, In: Foundations of Computational Mathematics. 21, 5, p. 1279–1316 38 p.Research output: Journal Publications and Reviews › RGC 21 - Publication in refereed journal › peer-review
8 Link opens in a new tab Citations (Scopus) -
Redes Ocultas: Imagen en Movimiento y Visión Artificial
Translated title of the contribution :Hidden Networks: Computer Vision and the Moving Image Research output: Creative and Literary Works in Non - textual Form › RGC 44 - Performance and participation in exhibits
Projects
- 14 Finished
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GRF: Finding Zeros of Low-Complexity Polynomial Systems
CUCKER, F. (Principal Investigator / Project Coordinator)
1/10/21 → 13/10/23
Project: Research
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GRF: Functional Norms and Condition Numbers for Polynomial Systems
CUCKER, F. (Principal Investigator / Project Coordinator)
1/10/20 → 13/10/23
Project: Research
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GRF: On the Homology of Semialgebraic Sets
CUCKER, F. (Principal Investigator / Project Coordinator)
1/11/18 → 6/10/22
Project: Research
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TDG(CityU): Artificial Intelligence and Art
Laurenzo, T. (Principal Investigator / Project Coordinator) & CUCKER, F. (Co-Investigator)
1/01/18 → 31/12/19
Project: Research
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GRF: Computing the Topology of Basic Semi-algebraic Sets
CUCKER, F. (Principal Investigator / Project Coordinator)
1/10/17 → 10/10/19
Project: Research
Prizes
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Gold Medal at the 5th Asia Exhibition of Innovations & Inventions Hong Kong (AEII)
ZUKERMAN, M. (Recipient), SUN, Y. (Recipient), CUCKER, F. (Recipient), WANG, X. (Recipient), CHEN, F. (Recipient), LEUNG, C. F. (Recipient), GUO, C. (Recipient), Wang, Z. (Recipient), WANG, Q. (Recipient), Moran, W. (Recipient), Wang, G. (Recipient), Wang, Y. (Recipient), Guo , J. (Recipient) & TAHCHI, E. (Recipient), 5 Dec 2025
Prize: RGC 64B - Prizes and awards
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Stanford's Top 2% most highly cited scientists 2025
CUCKER, F. (Recipient), Sept 2025
Prize: RGC 64B - Prizes and awards
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Stanford's top 2% most highly cited scientists 2024
CUCKER, F. (Recipient), Sept 2024
Prize: RGC 64B - Prizes and awards
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Bronze Medal at the 49th International Exhibition of Inventions of Geneva
ZUKERMAN, M. (Recipient), WANG, Y. (Recipient), SUN, Y. (Recipient), Moran, W. (Recipient), WANG, Z. (Recipient), WANG, G. (Recipient), GUO, J. (Recipient), CUCKER, F. (Recipient), WANG, X. (Recipient), GUO, C. (Recipient), WANG, T. (Recipient), Eli Tahchi (Recipient), WANG, Q. (Recipient) & C F Leung (Recipient), Apr 2024
Prize: RGC 64B - Prizes and awards
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Stanford's top 2% most highly cited scientists 2022
CUCKER, F. (Recipient), Nov 2022
Prize: RGC 64B - Prizes and awards
Press/Media
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Top mathematicians elected Fellows of European Academy of Sciences
1/04/19
1 item of Media coverage
Press/Media: Press / Media
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CityUHK excels at the 50th International Exhibition of Inventions of Geneva with 33 awards
WU, X., DONG, Z., JIANG, C., LO, P. C., WANG, M., LIU, C., WANG, T., CHERNG, S. J., HUQE, M. R., ZHOU, J., TANG, Q., WANG, L., HONG, J., LI, Y., YAN, H., ZUKERMAN, M., GUO, Z., XU, J., SUI, Y., KUO, W., HE, J., GAO, Y., HUANG, L., LIM, C. K., LU, J., ZHU, Z., BOEY, F., CHEN, T. H., LIU, W., CHUNG, S. H. H., TANG, H. T., HO, J. C. Y., CHEN, D., QUAN, Q., LAM, J., LE, Q., SHEN, J., LI, Y., ZHANG, C., LIU, Y., HUANG, R., LIU, S., ZHANG, B., CHEN, C., CHOW, K. T., XU, F., DOTSE, E., ZHAO, G., SHANG, J., FENG, S. P., WANG, W. T., CHUNG, C. C., ZAPIEN, J. A., LEUNG, K. H. M., ZHANG, Y., XIONG, W., LEUNG, T. K., ZHU, K., ZHANG, Z., CHEUNG, C. C. R., ZHANG, B., SONG, L., ZHU, G., ZHENG, Q., KHOO, B. L., LIAO, J., SUN, Y., CUCKER, F., LIN, S., WU, W., SUI, Z., DING, Z., LI, L., JIA, X., HE, X., REN, J., LI, X., LY, T. H., THI, Q. H., LEE, P. K. H., KWOK, C. K. & YEO, V.
14/04/25
9 items of Media coverage
Press/Media: Press / Media
Activities
- 26 RGC 61 - Journal editor
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Journal of Complexity (Journal)
CUCKER, F. (Associate Editor)
Jul 2015 → Jun 2016Activity: Publication peer-review and editorial work (RGC: 61) › RGC 61 - Journal editor
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Theoretical Computer Science (Journal)
CUCKER, F. (Associate Editor)
Jul 2015 → Jun 2016Activity: Publication peer-review and editorial work (RGC: 61) › RGC 61 - Journal editor
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Mathematics in Action (Journal)
CUCKER, F. (Associate Editor)
Jul 2015 → Jun 2016Activity: Publication peer-review and editorial work (RGC: 61) › RGC 61 - Journal editor
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Foundations of Computational Mathematics (Journal)
CUCKER, F. (Editor)
Jul 2015 → Jun 2016Activity: Publication peer-review and editorial work (RGC: 61) › RGC 61 - Journal editor
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The bulletin of the Spanish Royal Mathematical SocietyLa Gaceta (Journal)
CUCKER, F. (Associate Editor)
Jul 2015 → Jun 2016Activity: Publication peer-review and editorial work (RGC: 61) › RGC 61 - Journal editor