Bhargav Bhatt (mathematician)
Bhargav Bhatt | |
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Born | 1983 (age 37–38) |
Alma mater | |
Awards |
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Scientific career | |
Fields | Mathematics |
Institutions | |
Thesis | Derived Direct Summands (2010) |
Doctoral advisor | Aise Johan de Jong |
Other academic advisors | Shou-Wu Zhang |
Bhargav Bhatt (born 1983[1]) is a mathematician who is the Frederick W. and Lois B. Gehring Professor at the University of Michigan and works in arithmetic geometry and commutative algebra.
Early life and education[]
Bhatt graduated with an B.S. in Applied Mathematics, summa cum laude from Columbia University under the supervision of Shou-Wu Zhang.[2] received his Ph.D. from Princeton University in 2010 under the supervision of Aise Johan de Jong.[2][3]
Career[]
Bhatt was a Postdoctoral Assistant Professor in mathematics at the University of Michigan from 2010 to 2014 (on leave from 2012 to 2014).[2] Bhatt was a member of the Institute for Advanced Study from 2012 to 2014.[2][4] 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.[2]
Research[]
Bhatt's research focuses on commutative algebra and arithmetic geometry, especially on p-adic cohomology.[4][5] Bhatt and Peter Scholze have developed a theory of , which has been described as progress towards motivic cohomology by unifying singular cohomology, de Rham cohomology, ℓ-adic cohomology, and crystalline cohomology.[6][7]
Awards[]
In 2015, Bhatt was awarded a 5-year Packard Fellowship.[2][8] Bhatt received the 2021 New Horizons in Mathematics Prize.[2][5] He was elected to become a Fellow of the American Mathematical Society in 2021.[2][9]
Selected publications[]
- Bhatt, Bhargav (2012). "Derived splinters in positive characteristic". Compositio Mathematica. 148 (6): 1757–1786. doi:10.1112/S0010437X12000309. ISSN 0010-437X. S2CID 119152994.
- Bhatt, Bhargav (2012). "Annihilating the cohomology of group schemes". Algebra & Number Theory. 6 (7): 1561–1577. doi:10.2140/ant.2012.6.1561. ISSN 1944-7833. S2CID 55015992.
- Bhatt, Bhargav; Blickle, Manuel; Lyubeznik, Gennady; Singh, Anurag K.; Zhang, Wenliang (2014). "Local cohomology modules of a smooth $\mathbb{Z}$ -algebra have finitely many associated primes". Inventiones Mathematicae. 197 (3): 509–519. arXiv:1304.4692. doi:10.1007/s00222-013-0490-z. ISSN 0020-9910. S2CID 119143902.
- Bhatt, Bhargav; Scholze, Peter (2017). "Projectivity of the Witt vector affine Grassmannian". Inventiones Mathematicae. 209 (2): 329–423. arXiv:1507.06490. Bibcode:2017InMat.209..329B. doi:10.1007/s00222-016-0710-4. ISSN 0020-9910. S2CID 119123398.
- Bhatt, Bhargav (2018). "On the direct summand conjecture and its derived variant". Inventiones Mathematicae. 212 (2): 297–317. arXiv:1608.08882. Bibcode:2018InMat.212..297B. doi:10.1007/s00222-017-0768-7. ISSN 0020-9910. S2CID 119176516.
- Bhatt, Bhargav; Caraiani, Ana; Kedlaya, Kiran; Scholze, Peter; Weinstein, Jared (2019). Cais, Bryden (ed.). Perfectoid Spaces. Mathematical Surveys and Monographs. 242. Providence, Rhode Island: American Mathematical Society. doi:10.1090/surv/242. ISBN 978-1-4704-5015-1. OCLC 1124911652.
References[]
- ^ Bhatt, Bhargav; Caraiani, Ana; Kedlaya, Kiran; Scholze, Peter; Weinstein, Jared (2019-10-01). "Front matter". In Cais, Bryden (ed.). Perfectoid Spaces. Mathematical Surveys and Monographs. 242. Providence, Rhode Island: American Mathematical Society. doi:10.1090/surv/242. ISBN 978-1-4704-5015-1. OCLC 1124911652.
- ^ Jump up to: a b c d e f g h "Bhargav Bhatt" (PDF). Bhargav Bhatt. Retrieved March 21, 2021.
- ^ Bhargav Bhatt at the Mathematics Genealogy Project
- ^ Jump up to: a b "Bhargav Bhatt". Institute for Advanced Study. Retrieved March 21, 2021.
- ^ Jump up to: a b "Bhargav Bhatt". Breakthrough Prize in Mathematics. Retrieved March 21, 2021.
- ^ Sury, B. (2019). "ICM Awards 2018". Resonance. 24 (5): 597–605. doi:10.1007/s12045-019-0813-5. ISSN 0971-8044. S2CID 199675280.
- ^ Tao, Terence (March 19, 2019). "Prismatic cohomology". Terence Tao's blog. Retrieved March 21, 2021.
- ^ "Bhargav Bhatt". David and Lucile Packard Foundation. Retrieved March 21, 2021.
- ^ "2021 Class of Fellows of the AMS" (PDF). Notices of the American Mathematical Society. 68 (4): 642. 2021.
External links[]
- Columbia University alumni
- Princeton University alumni
- University of Michigan faculty
- Institute for Advanced Study faculty
- Arithmetic geometers
- 21st-century mathematicians
- Fellows of the American Mathematical Society
- 1983 births
- Living people