Charanya Ravi
Theoretical Statistics and Mathematics Unit
Indian Statistical Institute, Bangalore Centre
8th Mile Mysore Road
Bangalore 560059
India
Office: S1
Email: charanya.ravi[at] isibang[dot] ac[dot]in
I am an assistant professor of mathematics at the
Theoretical Statistics and Mathematics Unit of the Indian Statistical Institute, Bangalore Centre.
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
Dec 2022–Present |
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
|
Teaching
Indian Statistical Institute, Bangalore
Notice regarding internship and project requests:
Apologies, but I am currently unable to accept summer or winter undergraduate or master's interns, project students.
Due to the high volume of such requests, please understand that I won't be able to respond individually to these inquiries.
Thank you for your understanding and interest.
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, 37 pages, 2022, last updated 01.2024)
[arXiv]
-
Localization theorems for algebraic stacks, with D. Aranha, A. A. Khan, A. Latyntsev, H. Park
(Preprint, 78 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]
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
|
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
|