I am currently focused on multidisciplinary research in biomathematical modelling to describe agronomic processes aimed at developing more sustainable agriculture in the face of climate change scenarios. My previous project is titled: «Predator mass effects on community dynamics.» It was an interdisciplinary project that integrated mathematical and biological theories to comprehend living systems.
I also express my profound interest in ensuring that every student can derive joy from mathematics, as it is my favourite activity. I hope to demonstrate that arithmetic is a straightforward technique passed down from a cultural tradition and, therefore, with a little thought, any highly motivated student can grasp the concepts of this discipline.
I am attempting to comprehend the following statement: «The arithmetic is presented in reality as probability.» I would appreciate further clarification or discussion on this topic to gain a more comprehensive understanding of the statement.
Dr. William Campillay-Llanos is a Mathematics Professor with a specialization in Educational Statistics, graduating from the Metropolitan University of Education Sciences in 2007 (top graduate of the Faculty of Sciences with highest distinction). His undergraduate education was funded by the «Juan Gómez Millas» scholarship from the Ministry of Education of Chile. During his undergraduate years, he contributed to the development of an emerging area of study in Pure Mathematics, known as «Proportional Calculus (Multiplicative Calculus),» through his thesis work titled «A Marvelous Journey through the Multiplicative World.» This thesis contributes to improving the understanding of relationships between biological attributes, particularly allometry, a key concept for modeling plant growth and development.
To further strengthen his mathematical training, Dr. Campillay-Llanos completed his Master’s degree in Mathematics at the University of Talca in 2009. In 2014, he was invited to the prestigious Institute of Mathematics of Toulouse, France, to research «Differential Galois Theory.» This training allowed him to enhance his scientific skills and contribute with a new approach to mathematical modeling of biological systems, resulting in a publication in the field of Pure Mathematics (2020) and another one in a prestigious Mathematics Education journal (2021). In addition to his mathematical contributions, he participated in the FONDECYT REGULAR 1120709 project, presenting results at various meetings of Exact Sciences. This body of work and the resulting publications led Dr. Campillay-Llanos to focus on Applied Mathematics and obtain a Doctorate in Applied Mathematical Modeling from the Catholic University of Maule in 2021, providing innovative approaches to understanding and modeling biological systems relevant to Agricultural Sciences. His doctoral thesis focused on understanding the properties and processes that impact the structure of ecological communities in aquatic and terrestrial environments, through his research entitled «Effects of Predator Body Mass on Community Dynamics.» He made significant contributions to the fields of ecology, evolution, and natural resources with two WoS publications as the first author. Currently, Dr. Campillay-Llanos serves as an assistant researcher at the Institute of Interdisciplinary Research and the Center for Research and Transfer in Irrigation and Agroclimatology (CITRA) at the University of Talca.
To highlight the skills and competencies acquired during Dr. Campillay-Llanos’ scientific trajectory, his contributions can be categorized into three stages: pure mathematics, applied mathematics, and the development of technological tools to optimize agronomic resources.
In the pure mathematics research stage, he has shown leadership in the area of Proportional Calculus, presenting his findings at various national and international conferences and publishing two papers:
a) Pinto, M., Torres, R., Campillay-Llanos, W., and Guevara-Morales, F. (2020). Applications of proportional calculus and a non-Newtonian logistic growth model. Proyecciones (Antofagasta), 39(6), 1471-1513.
b) Campillay-Llanos, W., Guevara, F., Pinto, M., & Torres, R. (2020). Differential and integral proportional calculus: how to find a primitive for Gaussian function. International Journal of Mathematical Education in Science and Technology, 1-14.
In the applied mathematics research stage, Dr. Campillay-Llanos successfully linked mathematical models with ecological theories, proposing a theoretical approach that aims to unify metabolic, demographic, and coexistence theories in ecology. He has published the following papers:
a) Campillay-Llanos, W., Córdova-Lepe, F., & Moreno-Gómez, F. N. (2022). Coexistence, energy, and trophic cascade in a three-level food chain integrating body sizes. Frontiers in Ecology and Evolution, 578.
b) Campillay-Llanos, W., Saldaña, V., Córdova-Lepe, F., Moreno Gómez, F.N. (2021). Fish catch management strategies: evaluating the interplay between body size and global warming. Natural Resource Modeling.
Lastly, in the stage of research on the development of technological tools to optimize agronomic resources, Dr. Campillay-Llanos interprets emerging phenomena in Agricultural Sciences to build and incorporate tools into digital platforms, strengthening the field of Digital Agriculture. He collaborates with researchers from CITRA and has published the following paper:
a) Campillay-Llanos, W., Fuentes-Peñailillo, F., & Ortega-Farías, S. (2022). Towards indicators for agricultural production through biomathematical modeling using an interactive web platform. In 2022 IEEE International Conference on Automation/XXV Congress of the Chilean Association of Automatic
William A. Campillay-Llanos, Ph.D. 