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
- 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]
- Virtual localization revisited , with D. Aranha, A. A. Khan, A. Latyntsev, H. Park (Preprint, 46 pages, Jun 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) [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
Indian Statistical Institute, Bangalore- Sem II, 2023-24: Reading Seminar: Intersection Homology
- Sem II, 2023-24: B16: Topology (BMAT2)
- Sem I, 2023: E23: Algebraic Topology (BMAT3)
- Sem II, 2022-23: Reading Seminar: O-minimality and Hodge theory
- Sem II, 2022-23: Topology II (Ph.D. course)
Conferences and Seminars
| 13–17 Mar 2023 | Algebraic cycles, Motives and K-theory, Tata Institute of Fundamental Research, Mumbai |
| 12 May 2023 | Women in Mathematics Day, Indian Institute of Science, Bangalore |
| 3–7 Jul 2023 | Workshop on Motivic and non-commutative aspects of enumerative geometry, Conference on Homotopy theory, K-theory and trace methods in honour of Bjørn Dundas’ 60th birthday, Radboud University, Nijmegen |
| 10–14 Jul 2023 | A festival remembering Victor Snaith: Topology, Number theory and Interactions, University of Bristol |
| 10–21 Jul 2023 | Summer school on recent advances in algebraic K-theory, IHES |
| 15–21 Sep 2023 | Arithmetic and algebraic geometry seminar, Harish-Chandra Research Institute |
| 27 Oct 2023 | Seminar on arithmetic geometry, TU Darmstadt (Online) |
| 4–16 Dec 2023 | Advanced Training in Mathematics Schools: Hochschild Homology, IISER Kolkata |
| 15 Dec 2023 | Algebraic geometry seminar, Academia Sinica, Taipei |
| 26 Feb–01 Mar 2024 | Nearby cycles and derived geometry, University of Regensburg |
| 18–22 Mar 2024 | Motives in Mainz, University of Mainz |
| 30 Apr 2024 | Number theory day in Bangalore, Indian Institute of Science, Bangalore |
| 3–13 Jun 2024 | Regulators V, University of Pisa |
| 7–27 Jul 2024 | Summer session on motivic homotopy, IAS/Park City Mathematics Institute |
| 22–26 Jul 2024 | Workshop on moduli spaces, virtual invariants and shifted symplectic structures 2024, KIAS, Seoul |
| 25–30 Aug 2024 | Enumerative Geometry Beyond Spaces, Banff Centre, Alberta |
| 04–08 Nov 2024 | Motivic homotopy in interaction, CIRM Luminy |
| 02–07 Dec 2024 | Workshop and Conference on Algebraic geometry, Harish-Chandra Research Institute , Allahabad |