Bhargav Bhatt (born 1983) is a mathematician who is the Fernholz Joint Professor at the

Institute for Advanced Study The Institute for Advanced Study (IAS), located in Princeton, New Jersey, in the United States, is an independent center for theoretical research and intellectual inquiry. It has served as the academic home of internationally preeminent scholar ...

and

Princeton University Princeton University is a private university, private research university in Princeton, New Jersey. Founded in 1746 in Elizabeth, New Jersey, Elizabeth as the College of New Jersey, Princeton is the List of Colonial Colleges, fourth-oldest ins ...

and works in

arithmetic geometry In mathematics, arithmetic geometry is roughly the application of techniques from algebraic geometry to problems in number theory. Arithmetic geometry is centered around Diophantine geometry, the study of rational points of algebraic variety, alg ...

and

commutative algebra Commutative algebra, first known as ideal theory, is the branch of algebra that studies commutative rings, their ideals, and modules over such rings. Both algebraic geometry and algebraic number theory build on commutative algebra. Prominent ...

Early life and education

Bhatt graduated with an B.S. in Applied Mathematics, ''

summa cum laude Latin honors are a system of Latin phrases used in some colleges and universities to indicate the level of distinction with which an academic degree has been earned. The system is primarily used in the United States. It is also used in some Sou ...

'' from

Columbia University Columbia University (also known as Columbia, and officially as Columbia University in the City of New York) is a private research university in New York City. Established in 1754 as King's College on the grounds of Trinity Church in Manhatt ...

under the supervision of Shou-Wu Zhang. He received his Ph.D. from

in 2010 under the supervision of

Aise Johan de Jong Aise Johan de Jong (born 30 January 1966) is a Dutch mathematician born in Belgium. He currently is a professor of mathematics at Columbia University. His research interests include arithmetic geometry and algebraic geometry. Education De Jong a ...

Career

Bhatt was a Postdoctoral Assistant Professor in mathematics at the

University of Michigan , mottoeng = "Arts, Knowledge, Truth" , former_names = Catholepistemiad, or University of Michigania (1817–1821) , budget = $10.3 billion (2021) , endowment = $17 billion (2021)As o ...

from 2010 to 2014 (on leave from 2012 to 2014). Bhatt was a member of the

from 2012 to 2014. He then returned to the University of Michigan, serving as an Associate Professor from 2014 to 2015, a Gehring Associate Professor from 2015 to 2018, a Professor from 2018 to 2020, and a Frederick W and Lois B Gehring Professor since 2020. In July 2022, he was appointed as the Fernholz Joint Professor in the School of Mathematics at the

, with a joint appointment at

Research

Bhatt's research focuses on

and

, especially on ''p''-adic cohomology. Bhatt and

Peter Scholze Peter Scholze (; born 11 December 1987) is a German mathematician known for his work in arithmetic geometry. He has been a professor at the University of Bonn since 2012 and director at the Max Planck Institute for Mathematics since 2018. He ha ...

have developed a theory of prismatic cohomology, which has been described as progress towards

motivic cohomology Motivic cohomology is an invariant of algebraic varieties and of more general schemes. It is a type of cohomology related to motives and includes the Chow ring of algebraic cycles as a special case. Some of the deepest problems in algebraic geometr ...

by unifying

singular cohomology In mathematics, specifically in homology theory and algebraic topology, cohomology is a general term for a sequence of abelian groups, usually one associated with a topological space, often defined from a cochain complex. Cohomology can be viewed ...

de Rham cohomology In mathematics, de Rham cohomology (named after Georges de Rham) is a tool belonging both to algebraic topology and to differential topology, capable of expressing basic topological information about smooth manifolds in a form particularly adapte ...

, ℓ-adic cohomology, and

crystalline cohomology In mathematics, crystalline cohomology is a Weil cohomology theory for schemes ''X'' over a base field ''k''. Its values ''H'n''(''X''/''W'') are modules over the ring ''W'' of Witt vectors over ''k''. It was introduced by and developed by . ...

Awards

In 2015, Bhatt was awarded a 5-year Packard Fellowship. Bhatt received the 2021 New Horizons in Mathematics Prize. He was elected to become a

Fellow of the American Mathematical Society The American Mathematical Society (AMS) is an association of professional mathematicians dedicated to the interests of mathematical research and scholarship, and serves the national and international community through its publications, meetings, ...

in 2021. Also in 2021 he received the

Clay Research Award __NOTOC__ The Clay Research Award is an annual award given by the Oxford-based Clay Mathematics Institute to mathematicians to recognize their achievement in mathematical research. The following mathematicians have received the award: {, class=" ...

. In 2022 he was awarded the

Nemmers Prize in Mathematics The Frederic Esser Nemmers Prize in Mathematics is awarded biennially from Northwestern University. It was initially endowed along with a companion prize, the Erwin Plein Nemmers Prize in Economics, as part of a $14 million donation from the Nemme ...

.Nemmers Prize in Mathematics 2022
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Selected publications

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References

External links

Website of Bhargav Bhatt
{{DEFAULTSORT:Bhatt, Bhargav Columbia School of Engineering and Applied Science alumni Princeton University alumni University of Michigan faculty Institute for Advanced Study faculty Arithmetic geometers 21st-century American mathematicians Fellows of the American Mathematical Society 1983 births Living people