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One of the most prestigious awards in science is the "Nobel Prize". There is no need to explain this award in detail here, but you might know that mathematics is not included in its fields. One theory ...

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Algebraic and differential geometry stand as two intertwined pillars of modern mathematics. Whereas algebraic geometry investigates the solution sets of polynomial equations using the refined language ...

Columbia professor Johan de Jong has spent the last 15 years gathering the foundational theorems of algebraic geometry in one place. His creation, the Stacks Project, offers a new model for organizing ...

“THIS volume is the first part of a work designed it provide a convenient account of the foundations and methods of modem algebraic geometry.” These words from the authors' preface explain the scope ...

Abstract:-Basic theorems of algebraic geometry are applied to prove some pole-placement theorems, including an improved version of pole placement with output feedback. Examples are given which show ...

Abstract: A granular computing (GrC) approach of a mathematical framework for “knowledge mining in Big Data” is illustrated by using some idea from algebraic geometry: (1) For example, the ring of the ...

Our research explores many aspects of modern theories of geometry and associated algebraic machinery. We pursue both purely theoretical aspects and applications in engineering and natural sciences.