Parnashree Ghosh
Visiting fellow
School of Mathematics
Tata Institute of Fundamental Research
Mumbai 400005, India
Visiting fellow
School of Mathematics
Tata Institute of Fundamental Research
Mumbai 400005, India
Area of Interest:
Commutative Algebra and Algebraic Geometry.
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.