Analysis and Pde in Latin America: Icmam 2022
暫譯: 拉丁美洲的分析與偏微分方程：ICMAM 2022

本書呈現了2022年國際會議：數學及其應用的多學科面向（ICMAM）拉丁美洲會議的擴展摘要。本書展示了拉丁美洲在分析和偏微分方程（PDEs）方面的最新技術現狀。主題包括：描述流行病的PDE模型、人口動態、氣候風險、石油勘探、在醫學疾病檢測中的阻抗斷層成像，以及PDE的抽象理論。本書中所呈現的擴展摘要包含了幾位在分析和PDE領域享有盛譽的數學家的貢獻。

Duvan Cardona is a Colombian mathematician. He was awarded the prestigious FWO Fellowship by the Belgian Research Foundation FWO to be an associate researcher at Ghent University in 2023. He completed his thesis, titled "Contributions to the Theory of Pseudo-Differential Operators: From Compact to Graded Lie Groups", under the supervision of Michael Ruzhansky (Ghent University) and Julio Delgado (Universidad del Valle). In 2024, he joined the board of ISAAC, the International Society for Analysis, its Applications, and Computation, becoming the youngest mathematician ever elected to the board of directors in ISAAC's history. Since 2022, he has held the position of Scientific Director of ICMAM Latin America. He has been a reviewer for Colombia's Ministry of Education, Science, and Technology since 2020. With around 90 publications, including three books, in Harmonic Analysis and PDEs, his contributions are extensive. He has also visited esteemed research institutes such as the Deusto Institute of Science and Technology in the Basque Country, Imperial College London, and UCLA, and the Hausdorff Center for Mathematics. His field of expertise covers several aspects of harmonic analysis and PDEs.

Brian Grajales is a Colombian mathematician and postdoctoral fellow at the Institute of Mathematics, Statistics, and Scientific Computing at the University of Campinas in Brazil. His research interests span Differential Geometry and Lie Theory, with a particular emphasis on Riemannian Geometry on homogeneous spaces. As an active member of several research groups, including those at the State University of Campinas, the University of Pamplona, and the ICMAM Latin America, Brian Grajales has made significant contributions to the field. His work has been published in numerous high-impact journals, and he has been a frequent participant in international conferences and seminars, where he has shared his insights with the broader mathematical community. Between 2022 and 2024, he served as the president of ICMAM Latin America, and since 2024, he has taken on the role of Executive Director of this influential research organization.

Duvan Cardona 是一位哥倫比亞數學家。他於2023年獲得比利時研究基金會 FWO 頒發的 FWO 獎學金，成為根特大學的副研究員。他在 Michael Ruzhansky（根特大學）和 Julio Delgado（瓦利大學）的指導下完成了題為《對偽微分算子的貢獻：從緊湊到分級李群》的論文。2024年，他加入了國際分析、應用及計算學會（ISAAC）的董事會，成為 ISAAC 歷史上最年輕的董事會成員。自2022年以來，他擔任 ICMAM 拉丁美洲的科學主任。自2020年以來，他一直擔任哥倫比亞教育、科學和技術部的審稿人。他在調和分析和偏微分方程（PDEs）方面有約90篇出版物，包括三本書籍，貢獻廣泛。他還曾造訪過多個著名研究機構，如巴斯克地區的德烏斯托科學與技術研究所、倫敦帝國學院、加州大學洛杉磯分校（UCLA）以及豪斯多夫數學中心。他的專業領域涵蓋調和分析和偏微分方程的多個方面。

Brian Grajales 是一位哥倫比亞數學家，現為巴西坎皮納斯大學數學、統計與科學計算研究所的博士後研究員。他的研究興趣涵蓋微分幾何和李理論，特別強調在均勻空間上的黎曼幾何。作為多個研究小組的活躍成員，包括坎皮納斯州立大學、潘普洛納大學和 ICMAM 拉丁美洲，Brian Grajales 在該領域做出了重要貢獻。他的研究成果已發表在多本高影響力期刊上，並且他經常參加國際會議和研討會，與更廣泛的數學社群分享他的見解。在2022年至2024年間，他擔任 ICMAM 拉丁美洲的主席，自2024年起，他擔任這個有影響力的研究組織的執行董事。