Publications

PhD Thesis

May 01, 2019

Under supervision of Steve Vickers

Talks And Presentations

Kripke Joyal Semantics For Dependent Type Theory

December 11, 2020

HoTT Seminar, Pittsburgh HoTT Seminar

The result here was earlier presented at the Yorkshire and Midlands Category Theory Seminars (YaMCATS) and Ghent–Leeds Virtual Logic Seminar and also at CATS seminars at ILLC, UvA, Amsterdam.

Toposes In Como

June 29, 2018

Conference talk, Toposes in Como, Chiostro di Sant’Abbondio, Università degli Studi dell’Insubria

Topology Seminar at Johns Hopkins (2021-2022)

With Maru Sarazola and Tim Campion we are organizing Topology Seminar at Johns Hopkins

Reading Group on Arithmetic Universes (2018-2019)

With Alexander Oldenziel, Joost van Dijk and a few others we have an informal weekly reading sessions on Arithmetic Universes and Goedel's incompleteness theorem in Utrecht and Amsterdam.

CARGO (2016-2019)

I am one of the organizers of category theory reading group (CARGO). The meetings takes place at the school of computer science on a weekly basis. The participants are mostly PhD students and research fellows in theoretical computer science.

Read more about it here .

  • From 2015-2017, CARGO meetings used to takes place at the school of computer science on every Tuesday at 2:00 p.m. in room 245. For the academic year of 2017-2018 we have our meetings on Thursdays at 11:00 a.m. in the same room.
  • Here is the archive of talks: CARGO archive. Feel free to subscribe to our mailing list. Let me also mention the archive of our Theory Seminars talks on Fridays. I have given four talks in theory seminars and numerous talks in CARGO. Sometimes I find enough time and I write the notes of the talks which can be found in below.
  • Here is a list of topics considered to be discussed in Autumn 2017 in Category Reading Group seminars as well as informal archive for suggested topics since Summer 2015: Potential topics and Informal archive.

Expository Papers And Notes

Writing notes helps me to grasp a mathematical concept or construction and they become less elusive in my mind. Here are the notes from some of my talks for which I had time to type them up. Any reports of mistakes and errors from the reader are always welcome.

A topos without points

Published:

An example of a topos (from logic) that does not have any points.

A learning wishlist

Published:

A list of tricks/theorems/constructions/concepts/theories I wished to know but never had time/opportunity to learn them!

Principal Bundles

Incomplete as they stand (April, 2018)

A review of theory of principal bundles and higher principal bundles

Principal Bundles

Incomplete as they stand (April, 2018)

A review of theory of principal bundles and higher principal bundles

Three Sites Of Relative Schemes

Incomplete as they stand (April, 2018)

Warning: in construction! We introduce three Grothendieck topologies on the category of based schemes; the Zariski, the étale and the fpqc topology