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Athanasian Hall Spotlights Fellow Dr. Fidelis Mukudi’s Work in Functional Analysis and Nanotechnology

OXFORD, U.K. -- Athanasian Hall, a research center headquartered in the UK, announces Fellow Dr. Fidelis Mukudi's upcoming presentations in Analysis and Nanotechnology in Rome and Dubai. Dr. Fidelis Mukudi received a Ph. D. in Functional Analysis from Kibabii University, having performed extensive research on the theory of Self-Adjoint Operators.

As a postgraduate student of outstanding promise, Dr. Mukudi already explored the frontiers of Functional Analysis, Complex Analysis, and the "Theory of Operators". In April 2022, he will deliver an address in Dubai on polynomials arising in unbounded operators defined in Hilbert Spaces.

In October, he will present novel results on the spectral properties of commutants of unbounded self-adjoint operators with simple spectra in Rome at the International Conference on Present Advances in Pure and Applied Mathematics.

According to Dr. Jonathan Kenigson, the acting Don of Athanasian Hall, Cambridge LTD, "The study of Hilbert spaces and the operators defined upon them represent a nontrivial component of modern mathematical physics. These results...often find application in the Quantum realm, where results on Operator Algebras often have corollaries in Field Theory, Information Uncertainty, and Nanotechnology. Dr. Mukudi has substantial promise as a research scholar in Functional Analysis because of his ability to think about interdisciplinary topics from the unifying perspective of Linear Analysis."

Athanasian Hall, Cambridge LTD is an independent think-tank devoted to interdisciplinary research in the Quadrivium in its most modern expressions.

According to Dr. Kenigson, "We are a pure research institute independent of the University of Cambridge. Our scholars are encouraged, but not required, to pursue affiliation with scientific bodies in the city or with university institutes. With respect to Dr. Mukudi...we will nominate him for the greatest possible support we can offer to early-career researchers. He exemplifies the best characteristics of the Liberal Arts tradition while remaining superbly qualified in all areas of modern pure mathematics. Our scholars have a great deal of latitude to choose their courses of research and can freely change university affiliation without losing the support of our faculty, which is international."

Dr. Mukudi is receptive to requests for funded postdoctoral fellowships and similar support at top institutes. According to Kenigson, "Investment in such work is of broad benefit to society even if its applications are not known in advance. Esoteric mathematics often becomes the main component of new physical and economic theories that influence the lives of millions of people."

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About Athanasian Hall, Cambridge, Limited:

Athanasian Hall, Cambridge, Limited is the world's first university-independent research institute devoted to study of the Quadrivium (Arithmetic, Astronomy, Geometry, and Music) in its diverse forms. The institute exists to support the interests of affiliated scholars in Europe, the USA, Asia, and Africa. Scholars are selected on a basis of merit or potential of great merit in contributions to Quadrivium topics.

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Athanasian Hall to Explore New Relationships Between Prime Numbers and String Theory

LONDON, U.K. -- The study of abstract physics is often seen as separate from pure mathematics. Subjects like Black Holes, Low-Temperature Gases, Gravitation, and Electromagnetism are considered in the domain of physics rather than mathematics. "This distinction is, however, being challenged daily by advances in combinatorics and number theory applied to String Propagation...and the invariants of the Gromov-Witten Theory," states Dr. Jonathan Kenigson of Athanasian Hall.

Dr. Kenigson states that, "The primary focus of my research this year, and that of some of my colleagues, is the tangle of bridges connecting primality, combinatorics, and paradigms of String propagation." His collaborators at the research institute Athanasian Hall, Cambridge work largely independently. They are "highly motivated and accomplished scholars, and can undertake whatever research efforts they wish. I never put restrictions on such inquiry."

"As an example of what I endeavor to consider this year, one may speculate about the following scenario: String interaction operators arising from Lagrangians often arise very organically in terms of Riemann Zeta Functions of the particle number in Fermionic systems and others. These operators are complicated functions of ratios of Gamma functions and Zeta analogues whose representations are complex. It would be nice to have a compact representation of the related coefficients in terms of known combinatorial entities."

Combinatorics is the study of counting, so what Dr. Kenigson is saying is that he and his colleagues want to count the strings in predictable ways.

"Recent advances in Russia and France have made explicit relationships between globally convergent series representations of classical Zeta functions and their Hurwitz analogues commensurable with statements about choice functions, Bell Numbers, Catalan Numbers, Stirling Numbers, and many other special series." The goal of the research is to explore these relationships in the paradigm of String Theory, especially "as related to Black Holes, Fuzzballs, the Thermodynamic properties of plasmas, and high-dimensional analogues of Fermionic and Bose-Einstein Gases."

Last year, "we explored the Chandrasekhar Limit for extremal stellar implosion as a function of degeneracy pressure using Gamma Functions in high Euclidean dimensions. A Gamma Paradigm was helpful for this work, which is still ongoing."

Gamma functions are generalizations of the factorial function. If you remember from school, for instance, 4! = 4*3*2*1 = 24.

Dr. Kenigson states that "such functions arise in permutation groups on finite words, in the theory of geometric permutations, and in symmetry structures like U(n) and SU(n) which encode deep information about systemic invariants".

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