Leopold Vietoris (1891–2002) was an Austrian mathematician renowned for his contributions to topology and algebraic topology. One of his notable achievements is the Vietoris topology, which he developed in the context of the study of topological spaces. This topology is significant in the fields of general topology and the foundations of algebraic topology.

Marc Lackenby is a mathematician known for his work in the field of topology and low-dimensional topology, particularly in relation to knot theory and 3-manifolds. He has contributed to the study of invariants of knots and links, and his research often explores the connections between algebraic structures and topological properties.

Mark Goresky is a mathematical scientist known for his contributions to the fields of topology, geometry, and applied mathematics. He has worked on various topics, including differential topology and the study of Morse theory. Goresky is also recognized for his work in the development of tools and theories applicable to both pure and applied mathematics.

Michael Hutchings is a mathematician known for his work in geometry and topology, particularly in the areas of symplectic geometry, gauge theory, and contact geometry. He has made significant contributions to the study of three-dimensional manifolds and the development of various mathematical tools and techniques. One of Hutchings' notable contributions is in the field of holomorphic curves in symplectic geometry, especially related to the Gromov-Witten invariants and their applications to the study of three-manifolds.

Michael Weiss is a prominent mathematician known for his contributions to algebraic topology, particularly in the field of stable homotopy theory and related areas. He has studied various topics related to the topology of manifolds, spectral sequences, and derived categories. Weiss is also known for his work in the study of the relationships between algebraic topology and other fields, including differential topology and algebraic geometry.

Miroslav Katětov was a prominent Czech mathematician known for his work in functional analysis, topology, and other areas of mathematics. He was born on January 28, 1928, and passed away on December 5, 2020. Katětov made significant contributions to the field, including research on topological spaces and various concepts in functional analysis.

Wu-Chung Hsiang is a prominent mathematician known for his contributions to topology, particularly in the areas of algebraic topology and homotopy theory. He has worked extensively on topics such as homotopy groups, manifolds, and related fields. Hsiang is a professor at the University of Maryland and has published numerous research papers and articles throughout his career. His work has had a significant impact on the mathematical community, especially in the study of manifold theory and geometric topology.

Peter Ozsváth is a mathematician known primarily for his work in the fields of topology and geometry, particularly in relation to three-manifolds and knot theory. He is recognized for his contributions to the development of Heegaard Floer homology, a powerful tool in the study of three-manifolds. Ozsváth has collaborated with other mathematicians, including Zoltán Szabó, to advance the understanding of these complex areas.

Paul Althaus Smith is a name that doesn't seem to have widespread recognition in popular media, academic literature, or notable public figures up to my last knowledge update in October 2023. It’s possible that it could refer to a private individual or a professional within a niche field.

Pavel Alexandrov could refer to several different people, but it is most likely that you are asking about Pavel Samuilovich Alexandrov, a notable Russian mathematician known for his work in topology, set theory, and functional analysis. He made significant contributions to the field of mathematics, particularly in developing and formalizing various concepts in topology.

Richard Eliot Chamberlin is a person associated with various fields, but there isn't a widely known figure by that specific name.

Robert MacPherson is an American mathematician known for his contributions to algebraic geometry, topology, and the field of singularity theory. Born on January 17, 1947, he has had a significant impact on these areas of mathematics through his research and numerous publications. MacPherson is perhaps best known for his work in the development of "Chern-Mather classes," which have implications in intersection theory and algebraic geometry.

As of my last knowledge update in October 2021, Ronald J. Stern is not a widely recognized figure in popular culture, academia, or other well-documented fields. It's possible that he could be a professional in a specific area such as science, business, or law, but without further context or specific details, it's difficult to provide accurate information.

Ruth Lawrence can refer to a few different people depending on the context, but one of the most notable individuals with that name is a British mathematician known for her early achievements in academia. Born in 1975, she gained prominence for her work in mathematics, particularly in the field of algebraic topology and knot theory. Ruth Lawrence became well-known for her exceptional talent at a young age, having entered university at just 13 years old and earned her PhD by 17.

Ryszard Engelking is a Polish mathematician known for his work in the field of topology, particularly in set-theoretic topology and general topology. His contributions include work on various topics such as dimension theory and the properties of topological spaces. Engelking is also noted for his comprehensive textbook "General Topology," which serves as a significant reference in the field.

Robion Kirby is a prominent American mathematician known for his work in the field of topology, particularly in low-dimensional topology and knot theory. He has made significant contributions to our understanding of 3-manifolds and has been involved in developing techniques for studying and classifying these mathematical objects. Kirby is perhaps best known for the "Kirby diagram," which is a way to represent a 4-manifold using embedded disks in a 3-manifold.

Shaun Wylie is a mathematical statistician known for his work in the field of statistics, particularly in the development of statistical methodologies and their applications. He has made significant contributions to the theory and practice of statistics, including the area of statistical modeling.

As of my last update in October 2021, I don't have any specific information regarding "Sibe Mardešić." It's possible that it could refer to a person, a project, or something that has gained significance after that date.

Søren Galatius is a mathematician known for his work in the fields of topology and algebraic topology, particularly in relation to the study of algebraic structures that arise from topological spaces. He is associated with research that investigates the connections between algebraic topology, geometry, and mathematical physics.

Walther Mayer was an Austrian mathematician known for his work in the fields of differential geometry and mathematical physics, particularly related to Einstein's theory of relativity. He made significant contributions to the understanding of geometrical concepts and their applications in theoretical physics.