Martin Davis is a prominent American mathematician known for his contributions to mathematical logic, particularly in the areas of computability theory and the philosophy of mathematics. Born on August 8, 1928, Davis has played a significant role in the development of theories related to decision problems and the foundations of mathematics.

Michael Rosen is a mathematician known for his work in the fields of algebra and number theory, particularly involving the area of mathematical logic and group theory. He is also notable for his contributions to various mathematical publications and his involvement in academic research. In addition to his research work, he may also engage in teaching and mentoring students in mathematics.

Nesmith Ankeny appears to refer to a name that could be associated with various contexts, such as a business, a location, a person's name, or another entity. However, without specific context, it's difficult to provide precise information about it. If you are referring to a geographic location, it may be related to places named Ankeny, such as Ankeny in Iowa. If it pertains to a person's name, further context would help clarify who they are.

In the context of mathematical analysis and topology, a **meagre set** (also known as a **first category set**) is a set that can be expressed as a countable union of nowhere dense sets. A set \( A \) is said to be nowhere dense in a topological space \( X \) if the interior of its closure is empty; that is, there are no open sets in \( X \) that contain any points of \( A \) in a non-empty way.

Nikolay Korobov may refer to individuals with that name, but without additional context, it's unclear which specific person or topic you are referring to. It's possible that he could be a notable figure in fields such as science, sports, or other areas. If you provide more context or specify the area you are interested in (e.g., biography, achievements, etc.

Paul T. Bateman could refer to a specific individual, but without additional context, it's difficult to determine precisely who you are referring to. There are various notable figures in academia and other fields with that name.

Élisabeth Lutz is a French diplomat known for her work in various capacities, including her role within the French Ministry of Foreign Affairs. Her career has involved international relations and diplomatic efforts, although specific details about her accomplishments and positions may not be widely publicized.

Philippe Michel is a French mathematician known for his contributions to number theory, particularly in areas such as analytic number theory, L-functions, and automorphic forms. His work often involves deep connections between number theory and other areas of mathematics, including harmonic analysis and representation theory. He has made significant contributions to problems related to the distribution of prime numbers and has worked on results concerning the Riemann zeta function and its generalizations.

An S-brane, or "space-time brane," is a theoretical concept arising in string theory and related areas of high-energy physics. It extends the idea of branes, which are higher-dimensional objects that can exist within string theory. While typical branes (like D-branes) are objects with dimensions that are "static" in space but may evolve through time, S-branes are characterized by their time-dependent nature.

Preda Mihăilescu is a Romanian mathematician known for his contributions to number theory and related areas. He is particularly recognized for his work on Diophantine equations and mathematical analysis. Throughout his career, Mihăilescu has published numerous research papers and has contributed to various mathematical communities.

Richard Arenstorf was a notable American mathematician and aerospace engineer, best known for his work in the field of celestial mechanics and computations related to the dynamics of space missions. He contributed to the development of various mathematical models and methods used to analyze and predict the motion of spacecraft, notably through his work on trajectories in the vicinity of celestial bodies. His contributions have had significant implications in aerospace engineering and space exploration.

A whitelist is a concept used in various fields such as information security, networking, and software applications. It refers to a list of entities that are explicitly allowed or trusted to access certain resources, systems, or networks. The opposite of a whitelist is a blacklist, which contains entities that are explicitly denied access.

Robert Daniel Carmichael is not widely recognized in mainstream literature, history, or popular culture based on my last available information. If you are referring to a specific individual, topic, or context that has gained notoriety or relevance after October 2023, I may not have that information.

Sophie Germain (1776-1831) was a French mathematician, physicist, and philosopher known for her contributions to number theory and elasticity. Despite facing significant barriers as a woman in a male-dominated field, she made notable advancements in mathematics. One of her key contributions is in the field of number theory, particularly regarding "Sophie Germain primes," which are prime numbers \( p \) such that \( 2p + 1 \) is also prime.

Takeshi Saito is a Japanese mathematician known for his contributions to several areas of mathematics, particularly in algebraic geometry, topology, and singularity theory. His work often involves the study of algebraic varieties, deformation of singularities, and the relationship between algebraic geometry and mathematical physics. In particular, Saito is well-known for his development of the theory of mixed Hodge structures and for contributions to the theory of D-modules and their applications in singularity theory.

Tom M. Apostol (born March 20, 1923) is an American mathematician known for his contributions to various areas of mathematics, including number theory, algebra, and analysis. He is particularly famous for his textbooks, which are widely used in undergraduate and graduate courses. Apostol is perhaps best known for his two-volume work "Mathematical Analysis" and his books on number theory, including "Introduction to Analytic Number Theory.

Viggo Brun is a Norwegian mathematician known for his work in various areas of mathematics, particularly in number theory and analysis. He is notable for the Brun sieve, a technique he developed for finding prime numbers and studying their properties. The Brun sieve is a refinement of the traditional sieve methods and is particularly useful in analytic number theory.

W. R. (Red) Alford is a prominent figure in the field of education, particularly known for his contributions to educational administration and related academic areas. While specific details about his life and work may vary, he is often referenced in discussions about educational leadership and policy. If you are looking for information on a specific aspect of W. R.

William J. LeVeque (1912–1991) was an American mathematician renowned for his contributions to number theory and special functions. He is particularly well-known for his work in analytic number theory, including contributions to divisors of numbers, Riemann zeta functions, and L-functions. LeVeque authored several influential texts and papers, which have been utilized in various mathematical studies. His works often served as foundational resources for students and researchers in number theory.

Yitang Zhang is a Chinese-American mathematician known for his work in number theory, particularly in relation to the distribution of prime numbers. He gained significant attention in 2013 for proving a major result regarding the existence of bounded gaps between prime numbers. Specifically, he showed that there are infinitely many pairs of prime numbers that differ by a bounded amount, a breakthrough in the field of additive number theory.