Quadratic and Higher Degree Forms

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Most notably, in the last few years, Manjul Bhargava Princeton has extended the celebrated Gauss composition law for quadratic forms, to forms of higher degree. There was no progress of this nature on higher degree forms since Gauss' pioneering work on quadratic forms in the nineteenth century! Also, within the last two years, Bhargava and Jonathan Hanke have solved a conjecture of John Conway concerning the determination of all universal quadratic forms, namely quadratic forms like the sum of four squares that would represent all positive integers; the origins of the problem on universal quadratic forms can be traced to the writings of the Indian genius Srinivasa Ramanujan, who astounded the mathematical world in the early twentieth century with his remarkable discoveries.

NSF Award Search: Award# - Conferences on quadratic and higher degree forms

The conference on quadratic forms and related topics will be preceded by a Student Workshop which will prepare the students for the advanced topics presented at the conference. The conferences will provide an opportunity for students and young researchers to interact with eminent mathematicians who are making major advances on areas related to quadratic and higher degree forms.

The entire program consisting of an appropriate mix of hour lectures and shorter presentations, has been planned for the benefit of students and young researchers, as well as researchers in allied disciplines like physics and computer science. Thus the broader impact achieved will be significant.

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Tell us if something is incorrect. Book Format: Choose an option. Product Highlights In the last decade, the areas of quadratic and higher degree forms have witnessed dramatic advances. The volume also includes papers from the. About This Item We aim to show you accurate product information.

Quadratic and Higher Degree Forms

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