Research Topic: Algebraic Number Theory, Arithmetic Geometry and Arithmetic Dynamics
M. A. Sarkar & A. A. Shaikh, Rigidity and Unlikely intersections for stable p-adic dynamical systems, published in "p-adic Numbers, Ultrametric Analysis and Applications", Volume 14, Issue 2, 2022.
M. A. Sarkar & A. A. Shaikh, On the bases of 2-adic logarithm on the group of principal units, published in "Graduate Journal of Mathematics", Volume 8, Issue 1, 2023.
M. A. Sarkar & A. A. Shaikh, On the Image of p-adic logarithm on the group of principal units. (under revision)
M. A. Sarkar & A. A. Shaikh, Unlikely intersection for higher-dimensional formal groups and stable p-adic dynamical systems. (submitted)
M. A. Sarkar & A. A. Shaikh, Properties of Breuil-Kisin modules inherited by p-divisible groups. (submitted)
M. A. Sarkar, On construction of 2-dimensional Lubin-Tate formal group and application. (submitted)
Conference/Seminar Talks Given:
Equidistribution and Arithmetic Dynamics, Oklahoma State University, USA, 20/06/2022 to 24/06/2022.
(Title of the Talk: Rigidity and Unlikely Intersection in Stable p-adic Dynamical System)
International Webinar on Mathematics and Application, The University of Burdwan, 25/09/2020 to 27/09/2020.
(Title of the talk: Higher dimensional Lubin-Tate formal group).
National seminar on mathematical sciences (NSMS-2020), The University of Burdwan, India, 09/01/2020 to 11/01/2020.
(Title of the Talk: p-adic Hodge Theory and Breuil-Kisin Module).
p-adic Langland's correspondence conference, Henri Lebesgue Centre, Rennes, France, 02/09/2019 to 06/09/2019.
Elliptic curves and modular forms in arithmetic geometry, Università degli studi di Milano, Italy, 12/09/2022 to 16/09/2022.
Workshop/Summer School Attended:
"CIMPA school on “Group Action in Arithmetic and Geometry", Yogyakarta, Indonesia, 17/02/2020 to 28/02/2020.
Modular form and Galois representation, IISER Tirupati, India, 11/12/2019 to 17/12/2019.
Hodge theory and p-adic Hodege theory, CIMPA Research School, Centro de Investigación en Matemáticas A.C. (CIMAT), 02/08/2021 to 10/08/2021.
Automorphic Forms Summer School, Erdos Center, Budapest, Hungary, 29/08/2022 to 02/09/2022.
Summer School in Arithmetic Geometry, University of Duisburg-Essen, Germany, 05/09/2022 to 09/09/2022.
Heights and Model theory, Preliminery Arizona Winter School 2022, University of Arizona, 03/10/2022 to 11/11/2022.
An introduction to p-adic method in arithmetic, AIS, SRM University, Andhrapradesh, 26/07/2023 to 15/08/2023.
Research Entrance Exam. Qualified:
NET (National Eligibility Test), conducted by CSIR, Government of India.
GATE (Graduate Aptitude Test in Engineering), conducted by IIT Guwahati, India.
SET (State Eligibility Test), conducted by West Bengal Government, India.
Awards: CSIR Research Fellowship for 5 years with File No.- 09/025(0249)/2018-EMR-I