Madhav V. Nori

Nori was awarded his PhD in mathematics in 1981 from the University of Mumbai.{{cite web |url=https://www.insaindia.res.in/detail.php?id=N88-1002 |website = Indian national science academy|title=Madhav Vithal Nori}} He studies within the fields of algebraic geometry and commutative algebra. His areas of interest in research focus on algebraic cycles, K-theory, Hodge theory, Galois theory, and their interactions. Nori received the INSA Medal for Young Scientists in 1980 and is an elected Fellow of the Indian Academy of Sciences, Bangalore.{{citation needed|date=June 2023}}

Under the direction of Conjeerveram S. Seshadri Nori proved the existence of the fundamental group scheme $\backslash pi\_1(X,x)$ during his PhD work, using the theory of essentially finite vector bundles that he defined.{{cite journal |url=http://www.numdam.org/item/?id=CM_1976__33_1_29_0| title=On the representations of the fundamental group | journal=Compositio Mathematica | year=1976 | volume=33 | issue=1 | pages=29–41 | last1=Nori | first1=Madhav V. }}{{cite journal |doi=10.1007/BF02967978|title=The fundamental group-scheme |year=1982 |last1=Nori |first1=Madhav V. |journal=Proceedings Mathematical Sciences |volume=91 |issue=2 |pages=73–122 |s2cid=121156750 }} The fundamental group scheme is also known as Nori fundamental group scheme, taking the name by his creator, and often also denoted as $\backslash pi^N(X,x)$, where $N$ stands for Nori. There is a special family of vector bundles called Nori-semistable vector bundles in Nori's honor as he had the first intuition for their existence and properties.{{cite journal|arxiv=1809.06755 |doi=10.2748/tmj.20200727 |title=On the fundamental group schemes of certain quotient varieties |year=2021 |last1=Biswas |first1=Indranil |last2=Hai |first2=Phùng Hô |last3=Dos Santos |first3=João Pedro |journal=Tohoku Mathematical Journal |volume=73 |issue=4 |s2cid=54217282|pages=565–595 }} His construction has been since then further generalized, for instance a proof of the existence of the fundamental group scheme for schemes defined over Dedekind schemes has been provided by Marco Antei, Michel Emsalem and Carlo Gasbarri.{{cite journal |doi=10.46298/epiga.2020.volume4.5436|arxiv=1504.05082|title=Sur l'existence du schéma en groupes fondamental |year=2020 |last1=Antei |first1=Marco |last2=Emsalem |first2=Michel |last3=Gasbarri |first3=Carlo |journal=Épijournal de Géométrie Algébrique |s2cid=227029191 }}{{cite journal |doi=10.1215/00127094-2020-0065|title=Erratum for "Heights of vector bundles and the fundamental group scheme of a curve" |year=2020 |last1=Antei |first1=Marco |last2=Emsalem |first2=Michel |last3=Gasbarri |first3=Carlo |journal=Duke Mathematical Journal |volume=169 |issue=16 |s2cid=225148904 }}

• Nori motive (see https://ncatlab.org/nlab/show/Nori+motive)

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Category:20th-century Indian mathematicians

Category:21st-century Indian mathematicians

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Category:University of Mumbai alumni

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