Alapan Mukhopadhyay

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I am a final year Ph.D. student in the Mathematics department , at the University of Michigan . My thesis advisor is Karen Smith . I will start a postdoctoral position in the Algebraic Geomtry group at EPFL , Lausanne in Fall 2023.

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, with Karen Smith

5) High Frobenius pushforwards generate the bounded derived category , with Matthew Ballard , Pat Lank , Srikanth Iyengar , Josh Pollitz , 2023.

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

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

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

1) Multi-point Seshadri constant on ruled surfaces(2017). , 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.