Mathematics Documents

Master Thesis: 

This is my M.Sc. thesis titled Permutation Polynomials over Finite Fields (pdf) completed during M.Sc. in IIT, Bombay (2010-2012) under the guidance of Prof. Sudhir Ghorpade.

Ph. D. Thesis: 

This is my Ph. D. thesis titled Action of Correspondences on Cohomology and 0-cycles (pdf). 

Expository Notes:

I wrote an expository document on Carlitz-Lenstra-Wan Conjecture (2012). pdf

Hilbert Functions and related topics from the lectures given by A. V. Jayanthan at IIT, Chennai during AIS workshop, in May 2012. pdf (notes TeX'ed jointly with other participants)

Lecture Notes:

Notes for the lectures I gave in TIFR, Mumbai, as a warm up for the Algebraic surfaces AIS workshop 2015 on Castelnuovo's criterion for rational surfaces. pdf 

Notes for the lectures on Motivic cohomology as part of the Motivic cohomology seminar organized at TIFR, Mumbai (Oct-Dec, 2016). pdf 

(Handwritten) Notes for the lecture on Lifting properties and applications to quasi-categories, in Research seminar on “Infinity categories and an application” (Summer semester 2018) in University of Duisburg-Essen, Germany, on 3rd May 2018. pdf 

(Handwritten) Notes for the talk on Main Rigidity Theorems in Motives seminar "Algebraic K-theory and topological cyclic homology" (Summer semester 2018) in University of Duisburg-Essen, Germany, on 10th July 2018. pdf 

Notes for the talk on Hironaka's example of a proper, non-projective variety in IISER, Mohali on 19th August 2019. pdf 

Slides for the talk on Rational functions on P^1 and bilinear forms in GSG seminar in IISER Mohali on 10th February 2021. pdf 

Slides for the talk on Gersten's conjecture for Milnor K-theory in IISc-IISER Pune seminar on 18th September 2021. pdf video 

Lecture notes for a series of 4 talks given in School of Linear algebra on Diagonalizability of matrices. pdf 

Lecture notes for a series of 4 talks given in IST - Multivariable Calculus and Differential Forms (2022) on Orthogonal transformations/Integration/volume. pdf 

The expository/lecture notes above are solely for personal use. 

Comments are welcome!