Vijay Kumar Sharma

I did Integrated M.Sc. in Mathematics from UM-DAE-CEBS with DST-INSPIRE Fellowship (2013-18). Qualified GATE-2018 I completed Junior Research Fellow at Indian Institute of Technology Jammu from Feb 10, 2022 to Feb 9, 2023 I was Reserch Project Associate at Indian Institute of Technology Mandi from August 1, 2023 – November 30, 2023 Here are some projects that I have done: Grobner Bases and Algebraic Varieties ~ Prof. Balwant Singh Bagga, UM-DAE Centre for Excellence in Basic Sciences (MPR701, 2016-17) On Imaginary quadratic fields of class number less than or equal to 2 ~ Prof. Parvati Shastri, Formerly University of Mumbai (MPR801, 2016-17). Riemann-Roch for Elliptic Curves ~ Dr. Shameek Paul, UM-DAE-Centre for Excellence in Basic Sciences (MPR901, 2017-18). Riemann Surface and Analytic Continuation ~ Prof. M.G. Nadkarni, University of Mumbai (MPR1001, 2017-18). Module Theory ~ Prof. R. C. Cowsik, Formerly University of Mumbai (Summer, 2015). Linear Algebra and Geometry ~ Dr. Shameek Paul, UM-DAE-Centre for Excellence in Basic Sciences (Summer, 2014). Binomial Edge Ideals, Dr. Ajay Kumar, Indian Institute of Technology, Jammu (2023) On the Bass, Suslin Conjecture, Dr. Sampat Kumar Sharma Indian Institute of Technology, Mandi (2023)   During our BS-MS we used to go to different institutes for the semester courses. The details of the courses outside CEBS is as follows:  TIFR Mumbai: Projective Geometry, Advanced Combinatorics, Fourier Analysis  IIT Bombay: Real analysis, Measure Theory, Probability Theory, Stochastic Analysis, Representation theory of finite groups, Topology Institute of Chemical Technology, Mumbai: Computational mathematics 1 (Mathematica), Computational mathematics 2 (Python, Sage) . University of Mumbai: Elementary Number Theory, Discrete Mathematics, Algebraic number theory, Functional analysis, Complex Analysis, Topology  Homi Bhabha Centre for Science Education, HBCSE: Communication Skills, History and Philosophy of Science, Ethics in Science and Intellectual Property Bhabha Atomic Research Centre: Calculus