J. Peter May is a mathematician known for his contributions to topology, particularly in the areas of algebraic topology and homotopy theory. He has authored or co-authored numerous research papers and is recognized for his educational work, including textbooks on the subject. In addition to his research, he has been involved in mathematical education and has held academic positions at various institutions.

James Waddell Alexander II was an American artist, painter, and illustrator known for his contributions to various forms of artistic expression, particularly in the 19th century. He was born in 1858 and died in 1938. Alexander II's work often reflected themes of nature, landscapes, and sometimes incorporated elements of historical significance. His artistic style can be associated with the movements of the time, and he is recognized for his ability to capture the essence of the American landscape.

Jerome Levine could refer to various individuals, as it is not an uncommon name. However, without more specific context, it's difficult to determine which Jerome Levine you might be referring to. He could be a notable figure in fields like academia, business, healthcare, or another area.

Pavel Urysohn was a Russian mathematician known for his contributions to topology and functional analysis. He is particularly famous for the Urysohn lemma, which is a fundamental result in topology concerning the extension of continuous functions. Urysohn's work has had a significant influence on the development of modern topology, especially in the context of metric spaces and the study of separability. His contributions are still referenced in various areas of mathematical research.

Mary-Elizabeth Hamstrom does not appear to be a widely recognized public figure, event, or concept based on the information available up until October 2023. It's possible that she could be a private individual or a name related to a specific context or field not covered in mainstream sources.

Lazar Lyusternik (sometimes spelled Lyusternik) was a prominent Soviet mathematician known for his work in various areas of mathematics, particularly in topology and functional analysis. He is perhaps best known for his contributions to the field of variational methods and nonsmooth analysis, as well as for the Lyusternik-Schnirelmann theory in topology, which relates to critical points of functional and their applications to geometry and algebra.

Morton Brown is a name that could refer to different subjects depending on the context, as it doesn't point to a widely recognized concept or entity on its own. It may refer to a person, a business, or perhaps an organization. If you meant a specific individual named Morton Brown, more context is needed to identify who they are or their significance.

Peter Shalen is a mathematician known for his work in topology and geometry, particularly in relation to 3-manifolds. He has contributed to various areas within mathematics, including the study of the topology of surfaces and the development of various geometric structures. Shalen's research often intersected with knot theory and the understanding of manifolds through their geometric and algebraic properties.

Paul A. Schweitzer is a name that could refer to multiple individuals, but without additional context, it's impossible to determine precisely which Paul A. Schweitzer you are asking about. One notable individual by that name is an American chemist known for his work in the field of organic chemistry. He may be associated with various academic or scientific contributions.

Peter Eccles is a mathematician known for his contributions to various fields within mathematics, particularly in the area of mathematical modeling and analysis. While there may be several individuals with that name, one prominent figure is an expert in probability theory, statistics, and their applications. His work often addresses problems in complex systems, and he has published research articles and papers in various mathematical journals.

Shmuel Weinberger is a mathematician known for his work in the field of topology and other areas of mathematics. He has made significant contributions to algebraic topology, particularly in areas such as manifold theory and the study of homotopy and homology. Weinberger has been involved in various academic roles, including teaching and research at universities.

René-Louis Baire was a French mathematician born on January 21, 1874, and died on July 5, 1932. He is best known for his contributions to the field of real analysis and for developing the concept of Baire spaces in topology, which has significant implications in both analysis and general topology.

Valentin Poénaru is a notable Romanian mathematician, recognized for his contributions to topology, particularly in the fields of knot theory and algebraic topology. He may be best known for his work in the study of 3-manifolds and for his collaborations with other mathematicians.

W. Stephen Wilson is a notable figure in the field of computer science and education. He is particularly recognized for his work in computational logic, artificial intelligence, and educational technology. He has played a significant role in integrating computer science into the educational curriculum and has contributed to the development of educational tools and resources. If you are referring to a specific aspect of W. Stephen Wilson's work or his contributions in a particular area, please provide more details.

Sylvain Cappell is a prominent mathematician known for his work in topology, differential geometry, and mathematical physics. He has made significant contributions to fields such as geometric topology, the study of manifolds, and the interaction between geometry and algebra. His research often explores complex geometric structures and their implications in various mathematical contexts. Cappell is associated with several academic institutions and has collaborated extensively with other mathematicians in his field.

Tomasz Mrowka is a well-known mathematician, particularly noted for his work in the fields of topology and geometry. He has made significant contributions to mathematical research, particularly in the study of 3-manifolds and smooth structures. Mrowka is also recognized for his involvement in mathematical education and mentorship.

William Gerard Dwyer does not appear to be a widely recognized public figure or topic based on my training data up to October 2023. It's possible that he may be a private individual, a character in literature or media, or someone who has gained prominence more recently or in a specific context not covered in mainstream information.

William Jaco is a prominent American mathematician known for his contributions to the field of topology. He is particularly recognized for his work in the area of geometric topology and for developing the Jaco canonization theorem, which is an important result in 3-manifold theory. This theorem helps in classifying 3-manifolds by breaking them down into more easily understood components, which has significant implications in both mathematics and theoretical physics.

As of my last update in October 2023, William Menasco is not a widely recognized public figure or entity with notable prominence. It's possible that he might be a private individual, a professional in a specific field, or a fictional character, but without additional context, it’s difficult to provide a specific answer.