Charanya Ravi
School of Mathematics
Tata Institute of Fundamental Research
Homi Bhabha Road, Colaba
Mumbai 400005
India
Office: A334; Phone: +91 (22) 2278 2236
Email: cravi[at] math[dot] tifr[dot] res[dot] in
I am a tenure-track Reader at the School of Mathematics in Tata Institute of Fundamental Research, Mumbai.
Broadly, my area of research interest is algebraic geometry. I am particularly interested in algebraic K-theory, algebraic cycles and motives in the context of algebraic stacks and equivariant algebraic geometry. I am currently working on problems related to cohomology of algebraic stacks.
Short CV
| May 2024–Present | Reader (tenure-track), Tata Institute of Fundamental Research, Mumbai, India |
| Dec 2022–May 2024 | Assistant Professor, Indian Statistical Institute, Bangalore, India |
| Jan 2022–Dec 2022 | Postdoctoral Researcher, Max Planck Institute for Mathematics, Bonn, Germany, Mentor: Prof. Dr. Peter Scholze |
| Sep 2018–Dec 2021 | Postdoctoral Researcher, SFB Higher invariants, University of Regensburg, Germany, Research group: Prof. Dr. Ulrich Bunke |
| Sep 2016–Aug 2018 | Postdoctoral Researcher, University of Oslo, Norway RCN Frontier Research Group Project Motivic Hopf equations, Principal Investigator: Prof. Paul Arne Østvær |
| Jul 2016–Aug 2016 | Visiting fellow, Tata Institute of Fundamental Research, Mumbai, India |
| Jul 2011–Jul 2016 | Ph.D. in Mathematics, Tata Institute of Fundamental Research, Mumbai, India, Advisor: Prof. Amalendu Krishna |
| Jul 2009–May 2011 | Master of Mathematics, Indian Statistical Institute, Bangalore, India |
| Jul 2006–Jul 2009 | B.Sc. in Mathematics, Sri Venkateswara College, University of Delhi, New Delhi, India |
Publications and Preprints
- Virtual localization revisited , with D. Aranha, A. A. Khan, A. Latyntsev, H. Park (Preprint, 46 pages, Jun 2024) [arXiv]
- The stacky concentration theorem, with D. Aranha, A. A. Khan, A. Latyntsev, H. Park (Preprint, 32 pages, Jun 2024) [arXiv]
- Cohomological and categorical concentration, with A. A. Khan (Preprint, 30 pages, 2023) [arXiv]
- Equivariant generalized cohomology via stacks, with A. A. Khan (Preprint, 37 pages, 2022, last updated 01.2024) [arXiv]
- Generalized cohomology theories for algebraic stacks, with A. A. Khan (Adv. Math. 458 (2024), article no. 109975, 104 p.) [arXiv]
- Categorical Milnor squares and K-theory of algebraic stacks, with T. Bachmann, A. A. Khan, V. Sosnilo (Sel. Math., 28 (2022), no. 5, paper no. 85, 72 p.) [arXiv]
- Virtual equivariant Grothendieck-Riemann-Roch formula, with B. Sreedhar (Doc. Math., 26, (2021), 2061-2094) [arXiv]
- Rigidity in equivariant algebraic K-theory, with N. Naumann (Ann. K-Theory, 5, no. 1, (2020), 141–158) [arXiv]
- Rigidity for equivariant psuedo pretheories, with J. Heller and P. A. Østvær (J. Algebra, 516, (2018), 373-395) [arXiv]
- A Grothendieck-Lefschetz theorem for equivariant Picard groups (J. Pure Appl. Algebra, 222, no. 10, (2018), 3248-3254) [arXiv]
- Algebraic K-theory of quotient stacks , with A. Krishna (Ann. K-Theory, 3, no. 2, (2018), 207-233) [arXiv]
- Equivariant vector bundles, their derived category and K-theory on affine schemes, with A. Krishna (Ann. K-Theory, 2, no. 2, (2017), 235-275) [arXiv]
Teaching
Tata Institute of Fundamental Research, Mumbai- Sem II, 2024-25: Reading Seminar: Moduli problems and algebraic stacks
- Sem II, 2023-24: Reading Seminar: Intersection Homology
- Sem II, 2023-24: B16: Topology (BMAT2)
- Sem I, 2023-24: E23: Algebraic Topology (BMAT3)
- Sem II, 2022-23: Reading Seminar: O-minimality and Hodge theory
- Sem II, 2022-23: Topology II (Ph.D. course)
Notice regarding recommendation letter requests: When requesting a letter of recommendation, please ensure that you email me at least 6 weeks in advance of your earliest application deadline (or 1 month for summer programs, workshops, etc.). Kindly include the following information in your mail. A list of all the jobs or programs you plan to apply for along with their deadlines. Any relevant supporting documents, such as your CV, transcript, research statement, etc., that may be useful in writing the letter of recommendation.