__Alapan Mukhopadhyay__

I am a final year Ph.D. student in the Mathematics department ,
at the University of Michigan .
My thesis advisor is Karen Smith .

Before coming to Michigan, I completed my M.Sc in Mathematics and B.Sc in Mathematics and Physisc at the
Chennai Mathematical Institute in India.

__Research Interest__

My research interests boradly lie in Commutative Algebra and Algebraic Geometry.

__Contact__

Email: alapanm@umich.edu

Office: 2860 East Hall, Mathematics department
, University of Michigan

__CV__

Here is my CV.

__Papers and Preprints__

6) Simplicity of a ring under differential operators, In preparation,
co-authored with Karen Smith

5) High Frobenius pushforwards
generate the bounded derived category, In preparation,
co-authored with Srikanth Iyengar
, Josh Pollitz.

4)
Ind-étale vs Formally étale, co-authored with Shubhodip Mondal , submitted, (2022).

3)
Frobenius-Poincaré function and Hilbert-Kunz multiplicity, submitted, (2022).

2) Reducedness of formally unramified algebras over fields (2020).
, co-authored with Karen Smith ,
Journal of Algebra
.

1) Multi-point Seshadri constant on ruled surfaces(2017).
, co-authored with Krishna Hanumanthu
, Proc. of AMS.

__Teaching__

Calculus 2, Instructor, Michigan, Winter '19; Fall '19, '20, '21; Summer '21.

Calculus 1, Instructor, Michigan, Fall '17, '18; Winter '18.

Complex Analysis (graduate level),Teaching Assistant, Chennai Mathematical Institute, 2017.

Field and Galois Theory (elective course),Teaching Assistant, Chennai Mathematical Institute, 2016.

Topology (undergraduate course),Teaching Assistant, Chennai Mathematical Institute, 2014.