Karl Scheel is not a widely recognized figure or concept in popular culture or history as of my last update in October 2023. It is possible that the name may refer to a specific individual, potentially someone in academia, literature, or another field, but there is no prominent association with the name that stands out in general knowledge.

Karl Söllner is not a widely recognized figure in common knowledge or prominent historical records up to my last update in October 2023. It's possible that he could be a contemporary individual, perhaps in fields such as academia, business, or another area that hasn't gained significant public attention.

The Karoubi conjecture is a hypothesis in the field of algebraic topology, particularly concerning the relationships between certain types of groups associated with topological spaces. Specifically, it relates to the K-theory of a space and the structure of its stable homotopy category. In more technical terms, the conjecture posits that every homotopy equivalence between simply-connected spaces induces an isomorphism on their stable homotopy categories.

Geoffrey Copland may refer to multiple individuals, but one notable figure is a British academic and former Vice-Chancellor of the University of Westminster. He is known for his contributions to higher education and his leadership roles within universities.

Kathryn Hess may refer to different individuals depending on the context, as it is not an uncommon name. One notable person by this name is Kathryn Hess, a mathematician known for her contributions to topology and mathematical biology. She is known for her work in fields such as discrete geometry, algebraic topology, and combinatorial geometry.

Katja Lindenberg is a prominent physicist known for her work in the fields of complex systems, statistical mechanics, and nonlinear dynamics. She has made significant contributions to understanding patterns and phenomena in various physical systems, and her research often intersects with mathematical physics and applied mathematics. Additionally, she has a role in academia, contributing to education and mentorship in her field.

Kazhdan–Lusztig polynomials are a family of polynomial invariants associated with representation theory, algebraic geometry, and combinatorial mathematics. They were introduced by David Kazhdan and George Lusztig in the context of the representation theory of semisimple Lie algebras, the theory of Hecke algebras, and the study of algebraic varieties.

The Kazhdan–Margulis theorem is a result in the field of geometry and group theory, specifically concerning the behavior of discrete groups of isometries in the context of hyperbolic geometry. It was formulated by mathematicians David Kazhdan and Gregory Margulis in the 1970s. The theorem primarily addresses the structure of lattices in semi-simple Lie groups, particularly focusing on the behavior of certain types of actions of these groups on homogeneous spaces.

Keivan Stassun is an astrophysicist known for his work in stellar astrophysics, particularly in the study of young stars and the formation of planetary systems. He is also recognized for his contributions to education and outreach in science, and he has been involved in increasing diversity and inclusion in the sciences. He has held positions at various academic institutions and has been active in mentoring students from underrepresented backgrounds in the field of science.

Ken Keeler is an American writer and producer best known for his work in the field of animated television, particularly on the show "Futurama." He has been involved in various roles, including writer, director, and executive producer. Keeler is also notable for his educational background; he holds a Ph.D. in applied mathematics from Harvard University, which has influenced his writing and storytelling style.

The Kiel probe, or Kiel apparatus, is a scientific instrument used primarily for the determination of n-alkanes or other volatile organic compounds in mixtures, particularly in petrochemical and environmental analyses. It is a type of micro distillation device designed to analyze and separate components based on their boiling points. The Kiel probe operates under specific temperature and pressure conditions, allowing for the precise extraction of compounds from a sample.

Kent Beck is a well-known software engineer, author, and speaker, recognized for his contributions to the field of software development, particularly in the areas of Agile methodologies and Extreme Programming (XP). He is one of the original signatories of the Agile Manifesto, which outlines principles for Agile software development.

The Kettering Foundation is a nonprofit organization based in Dayton, Ohio, named after inventor Charles F. Kettering. Established in 1927, its primary focus is on the development of democratic practices and fostering citizen engagement in public life. The foundation conducts research and provides resources aimed at encouraging civic participation and strengthening democracy. It works with various organizations, scholars, and practitioners to explore ways that citizens can engage more effectively in governance and decision-making processes.

A kiddie ride is a type of amusement ride specifically designed for young children. These rides are often found in amusement parks, carnivals, shopping malls, and family entertainment centers. Kiddie rides typically feature simple designs with gentle motions, vibrant colors, and familiar characters or themes that appeal to children. Common examples include mini roller coasters, carousel rides, and motorized vehicles like cars, horses, or animals.

Kirsten Eisenträger is a prominent figure in the field of mathematics, specifically known for her contributions to number theory and algebraic geometry. She has worked on various topics, including arithmetic geometry and the connections between number theory and algebraic structures.

The Kneser–Tits conjecture is a statement in the field of algebraic groups and the theory of group actions, particularly concerning the structure of algebraic groups and their associated buildings. It was proposed by mathematicians Max Kneser and Jacques Tits. The conjecture pertains to the relationship between a certain class of algebraic groups defined over a field and their maximal compact subgroups.

The Koecher–Maass series is a mathematical series that arises in the context of the theory of modular forms and automorphic forms. It is named after mathematicians Martin Koecher and Hans Maass, who contributed to the understanding of modular forms and their properties. The series itself is typically associated with the theory of modular forms on the upper half-plane. These forms are complex functions that are not only continuous but also satisfy certain transformation properties under the action of the modular group.

Konrad Knopp was a notable German mathematician recognized for his work in the field of analysis, particularly in functional analysis and the theory of functions. He is most known for his contributions to the theory of Fourier series and for his textbook "Theory and Applications of Infinite Series." This work covers various topics related to series, convergence, and summation methods. Knopp's contributions also include studying different summability methods, convergence criteria, and their applications in mathematical analysis.

As of my last knowledge update in October 2021, there is no widely recognized individual or entity named Kseniya Garaschuk. It's possible that she may be a private individual or someone who has gained prominence after my last update.