The Harish-Chandra Research Institute (HRI) is a prestigious research institution located in Allahabad, India. It focuses on theoretical mathematics and physics, particularly in areas such as quantum mechanics, algebra, number theory, and mathematical physics. The institute is named after the renowned Indian mathematician and physicist Harish-Chandra, who made significant contributions to the fields of representation theory and harmonic analysis. HRI aims to promote research and education in the mathematical sciences and encourages collaboration among researchers.

The Institute For Figuring (IFF) is a nonprofit organization based in Los Angeles, California, dedicated to exploring and promoting the intersection of mathematics, art, and science. Founded in 2004, the IFF seeks to make complex mathematical concepts accessible and engaging to a broader audience through various projects, exhibitions, and educational programs. One of the notable initiatives of the IFF is the "Mathematical Crochet" project, which creates intricate crochet patterns that illustrate mathematical concepts such as geometry and topology.

The Institute of Mathematical Sciences (Instituto de Ciencias Matemáticas, ICMAT) in Spain is a research center dedicated to advancing the field of mathematics. Established in 2007 and located in Madrid, ICMAT is a collaboration between three major Spanish research institutions: the Spanish National Research Council (CSIC), the Complutense University of Madrid, and the Carlos III University of Madrid. ICMAT's primary focus is on theoretical and applied mathematics, fostering interdisciplinary research and collaboration among mathematicians.

The Kavli Institute for the Physics and Mathematics of the Universe (Kavli IPMU) is a research institution located in Japan, affiliated with the University of Tokyo and the Kavli Foundation. Established in 2007, the institute focuses on fundamental questions in physics and mathematics, particularly those related to the universe, cosmology, and the fundamental forces of nature.

The Korea Institute for Advanced Study (KIAS) is a prominent research institution located in Seoul, South Korea. Established in 1996, KIAS focuses on conducting advanced research in various fields of science, including mathematics, physics, and computer science. The institute aims to foster interdisciplinary research and promote scientific collaboration, both domestically and internationally. KIAS houses a select group of researchers and scholars, often inviting visiting scholars to contribute to its research community.

The Massachusetts Institute of Technology (MIT) Department of Mathematics is a prestigious academic department that conducts research and offers education in various areas of mathematics. Established as part of MIT in 1865, the department has a long history of contribution to mathematical sciences and has been influential in both theoretical and applied mathematics. The department offers undergraduate and graduate degree programs that cover a broad range of mathematical topics, including pure mathematics, applied mathematics, and mathematical logic, among others.

The Research Institute for Advanced Studies (RIAS) is not a widely known or singular entity, as there could be multiple organizations with similar names or purposes. However, in general terms, research institutes that focus on advanced studies are typically established to conduct high-level research in various fields, including science, technology, humanities, and social sciences. These institutes usually aim to advance knowledge, foster innovation, and contribute to academic scholarship.

The St. Petersburg Department of Steklov Mathematical Institute (also known as the Steklov Institute of Mathematics) is a prominent research institution in Russia that specializes in various areas of mathematics. Established as part of the Russian Academy of Sciences, this department is located in St. Petersburg and is named after the renowned mathematician Vladimir Steklov. The Steklov Institute as a whole has several branches across Russia, but the St.

William Lloyd Garrison was a prominent American abolitionist, journalist, and social reformer, best known for his role in the anti-slavery movement in the 19th century. He founded the abolitionist newspaper "The Liberator" in 1831, which became a significant voice for the abolition of slavery and the promotion of civil rights.

The Brazilian Mathematical Society (Sociedade Brasileira de Matemática, or SBM) is a professional organization dedicated to the promotion and development of mathematics in Brazil. Founded in 1969, its main objectives include: 1. **Promoting Mathematical Research and Education**: SBM fosters research in various fields of mathematics and aims to improve the quality of mathematics education at all levels in Brazil.

The Combinatorial Mathematics Society of Australasia (CMSA) is an organization that focuses on promoting research and education in the field of combinatorial mathematics. Founded in 1988, it aims to foster collaboration among mathematicians, particularly in Australia and the surrounding regions. The society organizes conferences, publishes research papers, and supports the dissemination of knowledge in combinatorial mathematics, which deals with counting, arrangement, and combination of discrete structures.

The German Mathematical Society (Deutsche Mathematiker-Vereinigung, DMV) is a professional organization that aims to promote the advancement and dissemination of mathematics in Germany. Established in 1890, the DMV serves as a platform for mathematicians to connect, collaborate, and share their research. The society organizes conferences, publishes journals, and supports educational initiatives, all with the goal of fostering mathematical research and teaching.

The International Mathematical Knowledge Trust (IMKT) is an initiative aimed at enhancing global collaboration and the sharing of mathematical knowledge. It serves as a platform to facilitate the dissemination of mathematical research, support educational resources, and foster connections among mathematicians, educators, and students around the world. The Trust is likely to focus on archiving mathematical information, promoting open access to mathematical resources, and developing tools that enhance the teaching and learning of mathematics.

The Irish Mathematical Society (IMS) is a professional organization dedicated to supporting and promoting mathematics in Ireland. Established in 1984, the society aims to facilitate communication and collaboration among mathematicians, educators, and students, both within Ireland and internationally. Key activities of the IMS include: 1. **Organizing Conferences and Workshops**: The society hosts meetings, seminars, and conferences to encourage the exchange of ideas and research among mathematicians.

An "edge wave" refers to a type of wave that is confined to the vicinity of an edge or boundary within a medium. This concept is often discussed in various fields, including physics, seismology, and engineering. In more technical terms, edge waves can be seen in the context of wave propagation, where waves are generated and propagate along the edges of structures or interfaces. They tend to exhibit unique properties compared to bulk waves, such as modified dispersion characteristics or increased localization effects.

The Kharkov Mathematical Society, established in Kharkiv (then known as Kharkov) in 1921, is a scientific organization dedicated to the advancement of mathematics research and education. It played a significant role in promoting mathematical studies in the region and has been associated with several prominent mathematicians. The society organizes conferences, seminars, and other activities to foster collaboration and dissemination of mathematical knowledge among researchers and educators.

The Kurt Gödel Society is an organization dedicated to promoting research and education in mathematical logic, philosophy of mathematics, and related fields. It is named after the renowned logician Kurt Gödel, best known for his incompleteness theorems, which have significant implications for mathematics, computer science, and philosophy. The society often organizes conferences, workshops, and lectures, providing a platform for scholars and researchers to share their work and engage with one another.

The Turkish Mathematical Society (Türk Matematik Derneği, TMD) is a professional organization in Turkey that aims to promote the study and teaching of mathematics. Established in 1955, the society plays a crucial role in supporting mathematicians, educators, and students in their pursuit of mathematical knowledge and research. Key activities of the Turkish Mathematical Society include: 1. **Publications**: The society publishes various mathematical journals and resources to disseminate research findings and educational materials.

PaaSage (Platform as a Service for Application and Service Generation) is a platform designed to support the development, deployment, and management of cloud-based applications. It aims to simplify the process of creating and managing cloud applications by providing tools and frameworks that allow developers to focus on building their applications rather than getting bogged down in the underlying infrastructure.

The Operational Research Society (ORS) is a professional organization dedicated to the advancement and promotion of operational research (OR) as a discipline. Operational research involves the application of analytical methods to help make better decisions, solve complex problems, and optimize processes across various industries. Key aspects of the ORS include: 1. **Professional Development**: The society provides training, workshops, and seminars to cultivate skills among professionals engaged in OR.