# CV

Here’s my most recent CV

Warning: Everything below’s out of date. Just click the above link

# Education

- Integrated-Masters in Mathematics with a minor in Computer Science, National Institute of Science Education and Research, Bhubaneswar, India, (2021-present)

# Experience

Directed Reading Project [Summer 2022] (Advisor: - Dr Ulrik Buchholtz , University of Nottingham) The goal of the project was understanding the use of the formal language of HoTT to reason internally to (∞, 1)-topoi following work by Mike Shulman. I specifically was interested in non-presentable cases, to be specific, in elementary (∞, 1)-topoi semantics of HoTT. I read Mike Shulman’s paper “All (∞,1)-toposes have strict univalent universes “ and Nima Rasekh’s paper “FILTER QUOTIENTS AND NON-PRESENTABLE (∞, 1)-TOPOSES”, majorly apart from Emily’s excellent survey paper “ON THE ∞-TOPOS SEMANTICS OF HOMOTOPY TYPE THEORY. I used Cisinski’s Higher Categories and Homotopical Algebra, Riehl’s Categorical Homotopy Theory, and Rezk’s Higher Topos theory notes as textbooks. Towards the end of the project I got interested in Realizablity Models of HoTT, and am currently working on a Higher Realizability model of HoTT, which is work in progress.

Directed Reading Project [Fall 2022] In fall 2022, I worked on a project on ‘Generalised Thom spectra’ as part of Twoples mentorship program with Julius Frank. I primarily worked with Schwede’s notes, Adam’s blue book, Barnes-Roitzheim’s book for the elementary stuff, and the Ando-Blumberg-Gepner-Hopkins-Rezk paper. To be more specific I worked with Ando-Blumberg-Gepner-Hopkins-Lurie’s geometric R-module Thom spectra, and did some Algebraic K-theory and THH calculations. The list of goals of the project was pretty long which is why there are aspects of this project that we still like to talk and think about.

Summer project 2023: I’m working on a project trying to unravel more evidence of the conjectured redshift phenomena for Algebraic Mahowald invariant. My mentor for this project is J.D.Quigley.

# Other Activities

- Spring 2022 Participated in ∞-categories Reading Group in led by Dr. Morgan Rogers
- Spring 2022 Participated in Oberseminar: Tempered cohomology and equivariant elliptic cohomology , organised by Marc Hoyois and Denis Nardin (online)
- Spring 2022 Participated in Algebra, Geometry and Physics seminar (MPIM Bonn/HU Berlin), organised by Yuri Manin and Gaetan Borot (online)
- Spring 2022 Participated in Paris algebra seminar organised by Bernard Keller, David Hernandez,Sophie Marie-Genoud
- Summer Break 2022 Participated in The 5th International Conference on Applied Category Theorylink.
- Summer Break 2022 Participated in Twinned Conference on Homotopy Theory with Applications to Arithmetic and Geometry (MPI Bonn/Fields Institute)
- Summer Break 2022 Participated in “Algebraic Topology and Topological Data Analysis: A Conference in Honor of Gunnar Carlsson”.
- Fall 2022 Participated in the Summer School on Chromatic Homotopy Theory and Higher (Infinity-Categorical) Algebra.link
- Fall 2022 Organizing a Higher Category Theory reading seminar with Vaibhav Sutrave , Logan Hyslop and Varun (Rooney) Malladi.
- Fall 2022 Participating in Abstract Homotopy Theory and Applications Seminar organized by Grisha Taroyan.
- Fall 2022 Organised a hybrid Algebraic Topology reading seminar at my institution.
- Fall 2022 Participated in Ninth Symposium on Compositional Structures (SYCO 9).
- Fall 2022 Participated in BIRS workshop on Cobordisms, Strings, and Thom Spectra.
- Fall 2022 Participated in the event Equivariant Bordism Theory and Applications.
- Fall 2022 Participating in the Young Hom Seminar organized by Julie Rasmusen and Torgeir Aambø.
- Fall 2022 Participating in European Quantum Algebra Lectures (EQuAL) seminar series.
- Fall 2022 Virtual participation in the Conference on “Algebraic Topology, in memory of Hans-Joachim Baues”
- Fall 2022 Participated in Colloque Bénabou
- Fall 2022 Participated in Virtual Double Categories Workshop
- Fall 2022 Participated in Topology 22 organised by Prof. B. L. Sharma Higher Mathematics Trust.
- Summer 2023 Organising the Chromatic Nullstellensatz seminar
- Summer 2023 Participating in eCHT Reading Seminar on the Adams spectral sequence for tmf
- Summer 2023 Participated in 2023 Quantum Winter School
Summer Break 2023 Participating in YTM, EPFL in person

Note: At some point, I gave up to keep updating this. I mayor mayy nott update it later.

# Awards and Honours

- DISHA fellowship awarded by the Department of Atomic Energy (DAE), Government of India, for pursuing the Integrated Masters program at NISER(2021-2026)
- Selection for participation in Madhava Nurture Camp held at the IIT Bhubaneswar, Odisha with support from the Homi Bhabha Centre of Science Education, TIFR and S.P.College Pune.

# Talks

- Nerves,∞-categories and the Boardman Vogt Construction.: At the Higher Categories Seminar.
- Kan Fibrations and the Kan-Quillen Model Structure: At the Higher Categories Seminar.
- Non presentable higher topos semantics of HoTT and a proposed realizability model: At CaCS 2022.
- The Joyal Model Structure: At the Higher Categories Seminar.
- The Henry Model Structure: At the Abstract Homotopy Theory and Applications Seminar
- A (function) realizability model of HoTT: At Category Theory Octoberfest 2022.
- Homotopy Groups of Kan Complexes and Serre’s Long Exact Sequence of a fibration: At the Higher Categories Seminar.
- A 2-categorical Quillen’s Theorem A (Part I): At the Higher Categories Seminar.
- A 2-categorical Quillen’s Theorem A (Part 2): At the Higher Categories Seminar.
- An Introduction to Spectra and Localisation: At the Chromatic Nullstellensatz Seminar
- Lazard’s Theorem and Complex Oriented Cohomology Theories: At the Chromatic Nullstellensatz Seminar
- Flatness over M_FG and Landweber Exactness: At the Chromatic Nullstellensatz Seminar
- Elementary ∞-topoi. Why should the topologist care?: At the Abstract Homotopy Theory and Applications Seminar
- Lubin-Tate Theory: At the Chromatic Nullstellensatz Seminar
- Extended Reflection Positivity for Invertible Topological Quantum Field Theories (Part 1): At the Abstract Homotopy Theory and Applications Seminar
- Extended Reflection Positivity for Invertible Topological Quantum Field Theories (Part 2): At the Abstract Homotopy Theory and Applications Seminar
- Extended Reflection Positivity for Invertible Topological Quantum Field Theories (Part 3): At the Abstract Homotopy Theory and Applications Seminar