Kriti Goel
Postdoctoral Fellow
Postdoctoral Fellow
Singularity Theory and Algebraic Geometry group
Singularity Theory and Algebraic Geometry group
Basque Center for Applied Mathematics (BCAM)
Basque Center for Applied Mathematics (BCAM)
Mazarredo, 14. 48009 Bilbao, Basque Country - Spain
Mazarredo, 14. 48009 Bilbao, Basque Country - Spain
I am a Postdoctoral Fellow in the Singularity theory and Algebraic Geometry group at BCAM, Spain. In 2022, I was a Fulbright-Nehru Postdoctoral Research fellow at the University of Utah, USA, working with Prof. Anurag Singh. I received my Ph.D. from Indian Institute of Technology Bombay in 2020, under the supervision of Prof. Jugal K. Verma.Â
I am a Postdoctoral Fellow in the Singularity theory and Algebraic Geometry group at BCAM, Spain. In 2022, I was a Fulbright-Nehru Postdoctoral Research fellow at the University of Utah, USA, working with Prof. Anurag Singh. I received my Ph.D. from Indian Institute of Technology Bombay in 2020, under the supervision of Prof. Jugal K. Verma.Â
My area of research is Commutative Algebra. In my thesis, I studied and answered questions centered around Hilbert-Samuel functions, multiplicity, and mixed multiplicities of admissible filtrations of ideals, and Hilbert-Kunz function of ideals. I am also interested in the theory of semigroup rings, with a focus on the study of pseudo-Frobenius elements to characterize the properties of the semigroup rings. For the Fulbright project at the University of Utah, I worked on polynomial invariants of finite groups in positive characteristic.
My area of research is Commutative Algebra. In my thesis, I studied and answered questions centered around Hilbert-Samuel functions, multiplicity, and mixed multiplicities of admissible filtrations of ideals, and Hilbert-Kunz function of ideals. I am also interested in the theory of semigroup rings, with a focus on the study of pseudo-Frobenius elements to characterize the properties of the semigroup rings. For the Fulbright project at the University of Utah, I worked on polynomial invariants of finite groups in positive characteristic.
