Parnashree Ghosh
INSPIRE faculty fellow
Department of Mathematics
IISER Pune
Pune 411008, India
Email: parnashree.ghosh@acads.iiserpune.ac.in; ghoshparnashree@gmail.com
INSPIRE faculty fellow
Department of Mathematics
IISER Pune
Pune 411008, India
Email: parnashree.ghosh@acads.iiserpune.ac.in; ghoshparnashree@gmail.com
Area of Interest:
Commutative Algebra and Algebraic Geometry.
Positions held:
Visiting fellow (Postdoc), School of Mathematics, TIFR (August 2024-November 10, 2025)
Visiting Scientintist (Research assistant), Stat-Math Unit, ISI Kolkata (June 2024-July 2024)
PhD student, Stat-Math Unit, ISI Kolkata (June 2018- June 2024)
Research Statement:
I am currently working in the area of Commutative Algebra and Algebraic Geometry. I implement various techniques of Commutative Algebra, Group actions on affine varieties and Algebraic K-theory of Noetherian rings to solve problems in Affine Algebraic Geometry. I am currently interested in application of birational transformations and A1 homotopic aspects of affine varieties to solve some fundamental mysteries in Algebraic geometry, namely the Epimorphism/Embedding Problem and the Conjecture of Abhyankar and Sathaye, Affine Fibration Problem and Cancellation Problems.