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Research Statement: 1 Summary and Goals PDF

7 Pages·2014·English
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by ['Marcos Duarte']| 2014| 7 pages| English

About Research Statement: 1 Summary and Goals

The document summarizes the author's research interests and important results. The author develops new homological methods using operads and applies them to mathematical physics, representation theory, and algebraic topology. Some key accomplishments include computing Lie algebra cohomology, developing the theory of Gröbner bases for operads to prove new results, and applying these methods to resolve homological questions. Ongoing projects focus on developing a homology theory of BV-algebras and applying it to problems in topology, quantum field theory, and mapping spaces.

Detailed Information

Author:['Marcos Duarte']
Publication Year:2014
Pages:7
Language:English
Format:PDF
Price:FREE
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