Interests & Projects

Areas of Interest

Broadly Algebraic Geometry. Currently I am interested in the following topics:

• Generalized Severi-Brauer varieties 

• Rational points on varieties

• Birational geometry

• Twisted conjugacy classes

Publications / Preprints

• Pullback Method with Applications to Severi-Brauer fibrations (j/w M. Biswas and B. Samanta, submitted) https://doi.org/10.48550/arXiv.2410.15125

• A geometric perspective on Amitsur's conjecture (submitted) 

Ongoing projects

• Zero cycles on Severi-Brauer flag varieties (j/w A. Hogadi)

• Tate-Shafarevich groups of elliptic curves over number fields (j/w M. Biswas and B. Samanta)

• Unirationality of Severi-Brauer fibrations (j/w E. Boughattas)

Past Projects

• MS Thesis  (May 2020 – May 2021)

Master’s project titled ’Brauer Groups, Galois Cohomology and Wang’s theorem’ was completed under the guidance of Dr. Vivek Sadhu, Assistant Professor, IISER Bhopal.

• Visiting Students’ Research Program (VSRP) (June 2019 - July 2019)

Reading project under the guidance of Dr. Koushik Ramachandran, Assistant Professor, ICTS Bengaluru on the topic ’Linear Algebra and Combinatorics’ .