All Outputs (3)

Machine learning detects terminal singularities (2023)
Conference Proceeding
Kasprzyk, A. M., Coates, T., & Veneziale, S. (2023). Machine learning detects terminal singularities. In Advances in Neural Information Processing Systems (NeurIPS 2023)

Algebraic varieties are the geometric shapes defined by systems of polynomial equations; they are ubiquitous across mathematics and science. Amongst these algebraic varieties are Q-Fano varieties: positively curved shapes which have Q-factorial termi... Read More about Machine learning detects terminal singularities.

The Need for a Symbiotic Interface for a Digital Twin (2023)
Conference Proceeding
Palmer, C., Goh, Y. M., Hubbard, E., Grant, R., & Houghton, R. (2023). The Need for a Symbiotic Interface for a Digital Twin. In Leveraging transdisciplinary engineering in a changing and connected world : proceedings of the 30th ISTE international conference on transdisciplinary engineering (873 - 882). https://doi.org/10.3233/ATDE230685

Human interaction with a Digital Twin is an emerging concept for which there are no common definitions. This paper considers the various types of human interaction with Digital Twins. There is very little research considering human cognitive interact... Read More about The Need for a Symbiotic Interface for a Digital Twin.

Toric Sarkisov Links of Toric Fano Varieties (2023)
Conference Proceeding
Brown, G., Buczyński, J., & Kasprzyk, A. (2023). Toric Sarkisov Links of Toric Fano Varieties. In Birational Geometry, Kähler–Einstein Metrics and Degenerations: Moscow, Shanghai and Pohang, April–November 2019 (129-144). https://doi.org/10.1007/978-3-031-17859-7_6

We explain a web of Sarkisov links that overlies the classification of Fano weighted projective spaces in dimensions 3 and 4, extending results of Prokhorov.