Descent into the telescopically localised world

About

Miss You Bims!!

I am a PhD student at the Norwegian University of Science and Technology, where I am working with Drew Heard. Before that, I was an Integrated Master’s student at the National Institute of Science Education and Research, Homi Bhabha National Institute, Bhubaneswar, India. I wrote my Master’s Thesis with Chitrabhanu Chaudhuri and Lennart Meier, with Lennart being my formal advisor.

I work in chromatic/motivic homotopy theory, algebraic K-theory, derived/spectral algebraic geometry, higher category theory, and topological aspects of physics. My Master’s thesis revolved around higher Topological Jacobi form computations à la Meier. If curious about my current mathematical preoccupations, feel free to reach out.

Boson posing for a pic!! Nonchalant as always ¯\_(ツ)_/¯

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-May-Weibel that the group completion of tensor K-theory is the rationalisation of the algebraic K-theory of 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 experience working on the general Mahowald-Ravenel redshift phenomena of the Mahowald invariant, on Freed-Hopkins theory and on HoTT semantics.

I’m a firm believer in seeing math as the rising sea and the fact that there is an endless supply of problems in this sea.

Besides my primary preoccupations and interests, I’m also interested in Music, philosophy and North Germanic and East Slavic languages. I also hike and do dirt-biking often.

If I were a Springer-Verlag Graduate Text in Mathematics, I would be David Eisenbud's Commutative Algebra with a view towards Algebraic Geometry. I am an attempt to write on commutative algebra in a way that includes the geometric ideas that played a great role in its formation; with a view, in short, towards Algebraic Geometry. I cover the material that graduate students studying Algebraic Geometry - and in particular those studying the book Algebraic Geometry by Robin Hartshorne - should know. The reader should have had one year of basic graduate algebra. Which Springer GTM would you be? The Springer GTM Test

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

(Reading list 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.)