Alapan Mukhopadhyay

Homepage image

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.



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


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.


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.