In reverse chronological order.

Research Papers and Preprints

1. On Definable Functions of Atomless Boolean Algebras (joint work with A. S. Kuber) (16 pages) (in preparation).
2. Definable Combinatorics with Dense Linear Orders (joint work with A. Jain and A. S. Kuber), (21 pages) Archive for Mathematical Logic (accepted). [PDF]
3. On Resource-Bounded van Lambalgen's Theorems (joint work with Diptarka Chakraborty and Himanshu Shukla), 14^th Annual Conference on Theory and Applications of Models of Computation (14 pages), Bern 2017. [PDF]

Projects

1. Cantor-Zassenhaus type algorithm for polynomial factoring over finite fields. Mentors: Dr. Rajat Mittal and Dr. Nitin Saxena, IIT Kanpur.[PDF]
2. Generalised form of Burgess' Lemma 2 and easier proof of deterministic bound on polynomial factoring over finite fields. Mentors: Dr. Rajat Mittal and Dr. Nitin Saxena, IIT Kanpur.[PDF]
3. Analogues of Miller-Yu theorem in resource bounded measures. Mentor: Dr. Satyadev Nandakumar, IIT Kanpur (funded by Summer Undergraduate Research Grant for Excellence (SURGE)). [PDF]
4. Relation Extraction for Matrix(type) entities in Introductory Programing Problems (Course project in Artificial Intelligence (CS365A)). Mentor: Prof. Amitabha Mukerjee, IIT Kanpur.[PDF]
5. Geometric Data Structures (Advanced track project for Data Structures and Algorithms course (CS210)). Mentor: Prof. Surender Baswana, IIT Kanpur.[PDF]
6. Autonomous Underwater vehicle, Robotics Club, IIT Kanpur.

Workshops Attended

1. Workshop on Theoretical and Computational aspects of Birch and Swinnerton Dyer Conjecture held at ICTS Banglore, India.
2. Workshop on Perspectives in Complexity and Cryptography held at IISc Banglore, India.

Talks

1. Model theoretic Grothendieck rings of some structures with quantifier elimination at Math-Stat Seminar, Department of Mathematics and Statistics, IIT Kanpur, 2018.
2. On Resource-Bounded versions of the van Lambalgen's theorem, 14^th Annual Conference on Theory and Applications of Models of Computation, Bern 2017.
3. Ramanujan Tau Function and Modular Forms, VSRP final presentation, TIFR, Mumbai, 2017
4. Combinatorial Nullstellensatz, STAMATICS Talk, IIT Kanpur, 2017.

Other reports

1. Grothendieck Ring of Dense Linear Orders without end points (UGP Report joint work with Arihant Jain). [PDF]
2. Combinatorial Nullstellensatz. [PDF]
3. My hand written notes on Modular forms of level N and Elliptic Curves.[PDF]
4. Ramanujan Tau Function and Modular forms PDF.
5. Lecture scribes for the course of Elliptic Curves and Applications (joint work with the entire class).[PDF]
6. Lecture notes for the lecture series on Galois Theory at SIGTACS (by Amrit Singhal and Arihant Jain).[PDF]

Links for homepages to my co-authors and mentors