User:Narayana venkateshwara iyengar/sandbox
Bhargav Bhatt | |
|---|---|
 Bhatt at the Algebraic Geometry Workshop, Oberwolfach 2015 | |
| Born | 1983 (age 40–41) |
| Alma mater | |
| Awards |
|
| 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 Fernholz Joint Professor at the Institute for Advanced Study and Princeton University and works in arithmetic geometry and commutative algebra.[2]
Early life and education
[edit]Bhatt graduated with an B.S. in Applied Mathematics, summa cum laude from Columbia University under the supervision of Shou-Wu Zhang.[3] He received his Ph.D. from Princeton University in 2010 under the supervision of Aise Johan de Jong.[3][4]
Career
[edit]Bhatt was a Postdoctoral Assistant Professor in mathematics at the University of Michigan from 2010 to 2014 (on leave from 2012 to 2014).[3] Bhatt was a member of the Institute for Advanced Study from 2012 to 2014.[3][5] 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.[3] In July 2022, he was appointed as the Fernholz Joint Professor in the School of Mathematics at the Institute for Advanced Study, with a joint appointment at Princeton University.[6]
Research
[edit]Bhatt's research focuses on commutative algebra and arithmetic geometry, especially on p-adic cohomology.[5][7] Bhatt and Peter Scholze have developed a theory of prismatic cohomology, which has been described as progress towards motivic cohomology by unifying singular cohomology and is a massive 21st century breakthrough, de Rham cohomology, ℓ-adic cohomology, and crystalline cohomology.[8][9]
Awards
[edit]In 2015, Bhatt was awarded a 5-year Packard Fellowship.[3][10] Bhatt received the 2021 New Horizons in Mathematics Prize.[3][7] He was elected to become a Fellow of the American Mathematical Society in 2021.[3][11] Also in 2021 he received the Clay Research Award.[12] In 2022 he was awarded the Nemmers Prize in Mathematics.[13]
Selected publications
[edit]- 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. Vol. 242. Providence, Rhode Island: American Mathematical Society. doi:10.1090/surv/242. ISBN 978-1-4704-5015-1. OCLC 1124911652.
References
[edit]- ^ 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. Vol. 242. Providence, Rhode Island: American Mathematical Society. doi:10.1090/surv/242. ISBN 978-1-4704-5015-1. OCLC 1124911652.
- ^ Bhargav Bhatt Joins Mathematics Faculty at IAS
- ^ a b c d e f g h "Bhargav Bhatt" (PDF). Bhargav Bhatt. Retrieved March 21, 2021.
- ^ Narayana venkateshwara iyengar/sandbox at the Mathematics Genealogy Project
- ^ a b "Bhargav Bhatt". Institute for Advanced Study. Retrieved March 21, 2021.
- ^ Bhargav Bhatt Joins Mathematics Faculty at IAS
- ^ 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.
- ^ Clay Research Award 2021
- ^ Nemmers Prize in Mathematics 2022
External links
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