Descent into the telescopically localised world
About
I am an Integrated Master’s student at the National Institute of Science Education and Research, Homi Bhabha National Institute, Bhubaneswar, India. I just finished writing my Master’s Thesis with Chitrabhanu Chaudhuri and Lennart Meier.
I work in chromatic/motivic homotopy theory, algebraic K-theory, higher category theory, and Topological Aspects of Physics. My Master’s thesis revolves around higher Topological Jacobi form computations à la Meier. Apart from that, I am also involved in constructing motivic models of cyclotomic synthetic spectra, towards a synthetic classification of algebraic Landweber-exact equivariant motivic spectra, and higher chromatic height cardinality computations in Ambidexterity.
I also take an interest in Real Syntomic Cohomology. In the past, I have organised seminars on Higher Categories, Burklund-Yuan-Schlank’s Chromatic Nullstellensatz, Equivariant TMF and Stefanich-Tannaka duality for Geometric Stacks. In the past, I’ve worked on proving the folklore theorem of Bass-Quillen of the group-completion of tensor K-theory being the rationalisation of K(R), this was joint work with Mattie Ji. I also worked on a Cisinski-Moerdijk-Weiss model for k-restricted unital infinity operads in the past, which was joint work with Yu Leon Liu. Apart from that, I also have some experience working on the general Mahowald-Ravenel redshift phenomena of the Mahowald invariant, under J.D. Quigley, and on Freed-Hopkins theory and HoTT semantics, under Ulrik Buchholtz.
My view of Mathematics is broad, and I’m always open to ideas and themes from unknown depths in the unfathomable ocean of Mathematics. I believe, after all, there are infinitely many things in the mathematical universe to pursue.
Aside from my primary preoccupations and interests, I’m also interested in Music, philosophy and, to some extent, Linguistics.
NOTE: I recently updated everything you see above. Thanks for stopping by. The stuff below, maybe later :P
Some stuff I’m currently reading or skimming, some of which I’m interested in finding time and energy to read. This is not exhaustive and in no order.
- The Chromatic Nullstellensatz arXiv
- PURITY IN CHROMATICALLY LOCALIZED ALGEBRAIC K-THEORY link
- Reflection positivity and invertible topological phases arXiv
- The motivic Mahowald invariant arXiv
- Generalised Mahowald Invariants: Thesis of J.D.Quigley link
- N_{\infty}-operads and associahedra arXiv
- Chromatic Cyclotomic Extensions arXiv
- Stable stems arXiv
- The Green book
- On topological cyclic homology arXiv
- TOPOLOGICAL HOCHSCHILD HOMOLOGY AND INTEGRAL p-ADIC HODGE THEORY arXiv
(Last updated on June 14, 2023)
(Note: I am not even trying to keep the above list updated because I just can’t and because it’s always an incomplete list. This is a mere expression of the flavour of things I am or am willing to spend my energy on at this moment.)