Charanya Ravi

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

Teaching

• Sem I, 2023: E23: Algebraic Topology (BMAT2)
• Sem II, 2022-23: Topology II (Ph.D. course)

Publications and Preprints

• Cohomological and categorical concentration, with A. A. Khan (Preprint, 30 pages, 2023) [arXiv]


• Equivariant generalized cohomology via stacks, with A. A. Khan (Preprint, 26 pages, 2022) [arXiv]


• Localization theorems for algebraic stacks, with D. Aranha, A. A. Khan, A. Latyntsev, H. Park (Preprint, 79 pages, 2022) [arXiv]


• Generalized cohomology theories for algebraic stacks, with A. A. Khan (Preprint, 94 pages, 2021) [arXiv]


• Categorical Milnor squares and K-theory of algebraic stacks, with T. Bachmann, A. A. Khan, V. Sosnilo (Selecta Mathematica, 28 (2022), no. 5, paper no. 85) [arXiv]


• Virtual equivariant Grothendieck-Riemann-Roch formula, with B. Sreedhar (Documenta Mathematica, 26, (2021), 2061-2094) [arXiv]


• Rigidity in equivariant algebraic K-theory, with N. Naumann (Annals of K-theory, 5, no. 1, (2020), 141–158) [arXiv]


• Rigidity for equivariant psuedo pretheories, with J. Heller and P. A. Østvær (Journal of Algebra, 516, (2018), 373-395) [arXiv]


• A Grothendieck-Lefschetz theorem for equivariant Picard groups (Journal of Pure and Applied Algebra, 222, no. 10, (2018), 3248-3254) [arXiv]


• Algebraic K-theory of quotient stacks, with A. Krishna (Annals of K-Theory, 3, no. 2, (2018), 207-233) [arXiv]


• Equivariant vector bundles, their derived category and K-theory on affine schemes, with A. Krishna (Annals of K-Theory, 2, no. 2, (2017), 235-275) [arXiv]