Bhargav Bhatt (born 1983) is an Indian-American mathematician
/ref> who is the Fernholz Joint Professor at the

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

and

Princeton University Princeton University is a private university, private Ivy League research university in Princeton, New Jersey, United States. Founded in 1746 in Elizabeth, New Jersey, Elizabeth as the College of New Jersey, Princeton is the List of Colonial ...

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 varieties. ...

and

commutative algebra Commutative algebra, first known as ideal theory, is the branch of algebra that studies commutative rings, their ideal (ring theory), ideals, and module (mathematics), modules over such rings. Both algebraic geometry and algebraic number theo ...

.Bhargav Bhatt Joins Mathematics Faculty at IAS
/ref>

Early life and education

Bhatt graduated with a 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 Sout ...

'' from

Columbia University Columbia University in the City of New York, commonly referred to as Columbia University, is a Private university, private Ivy League research university in New York City. Established in 1754 as King's College on the grounds of Trinity Churc ...

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 and professor of mathematics at Columbia University. His research interests include arithmetic geometry and algebraic geometry. He maintains the Stacks Project. Early life and e ...

Career

Bhatt was a Postdoctoral Assistant Professor in mathematics at the

University of Michigan The University of Michigan (U-M, U of M, or Michigan) is a public university, public research university in Ann Arbor, Michigan, United States. Founded in 1817, it is the oldest institution of higher education in the state. The University of Mi ...

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

. Bhatt is currently (July 2025) on the editorial board of the journal

Annals of Mathematics The ''Annals of Mathematics'' is a mathematical journal published every two months by Princeton University and the Institute for Advanced Study. History The journal was established as ''The Analyst'' in 1874 and with Joel E. Hendricks as t ...

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 co-director at the Max Planck Institute for Mathematics since 2018. He ...

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 geome ...

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 The David and Lucile Packard Foundation is a private foundation that provides grants to not-for-profit organizations. It was created in 1964 by David Packard (co-founder of HP) and his wife Lucile Salter Packard. Following David Packard's deat ...

. 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 achievements in mathematical research. The following mathematicians have received the award: See als ...

. In 2022 he was awarded the

Nemmers Prize in Mathematics Larry Nemmers (born July 12, 1943) is a retired educator and better known as a former American football official in the National Football League (NFL). Nemmers made his debut as an NFL official in the 1985 season and continued in this role unt ...

.Nemmers Prize in Mathematics 2022
/ref> Bhatt won the

Infosys Prize The Infosys Prize is an annual award granted to scientists, researchers, engineers and social scientists of Indian origin (not necessarily born in India) by the Infosys Science Foundation and ranks among the highest monetary awards for researc ...

2023 i
Mathematical Sciences
for his outstanding contributions to arithmetic geometry and commutative algebra. Bhatt's fundamental work on prismatic cohomology (joint with Peter Scholze), his work around the direct summand conjecture in commutative algebra, introduces new ideas and powerful methods in an area at the heart of pure mathematics.

Selected publications

* * * * * *

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