Dr. Indrajit Debnath

Dr. Indrajit Debnath, Ph. D.

Assistant Professor, RERF Group of Institutions

Experience
10 years 2 months
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I am a faculty member of Mathematics in Department of Basic Science and Humanities. I did B.Sc(Honours) in Mathematics from St. Xavier's College, Kolkata in 2010 and M.Sc. in Pure mathematics from The University of Hyderabad, Hyderabad in 2012. Then I joined Rajiv Gandhi University of Knowledge and Technologies as an Assistant Professor and served there till June 2019. I have qualified NET(2013,2018), GATE(2015), NBHM Ph.D.(2016). Then I completed my Ph.D. from The University of Burdwan, Burdwan in 2025. My research primarily revolves around the interface of Topology, Measure Theory and Analysis. More specifically, I am interested in establishing the connection between density and density type topologies and summability theory over the space of reals. I have published several research papers in international journal of well repute. Along with my research I love to teach my students.

Education

  • Ph.D. from The University of Burdwan, Burdwan in Density Topology
  • M.Sc. from The University of Hyderabad, Gachibowli in 2012
  • B.Sc. from St. Xavier's College, Kolkata in 2010

Academic profile

Specialization
Density Topology
Research areas
Density Topology, Measure Theory, Summability Theory
Teaching philosophy
My primary aim in teaching is to create a situation where students become enthusiastic about comprehending the subject matter on their own and consequently deeply integrate new content. In attempt to achieve this I use a variety of methods such as One lecture one concept, learning by doing, board work. My approach grows out of three interlinking strands: my personal experience with learning and learners; study of the experiences of others; and experimentation.

Research & professional activities

Achievements
NPTEL-AICTE FDP 12 week course (Jan-April, 2026) on The Joy of Com puting using Python with a consolidated score of 94%. (Topper 5%) NPTEL-AICTEFDP 12 week course(July-Oct, 2025) on Matrix Computation and its Applications with a consolidated score of 90%.(Topper 2%)
Current research projects
Presently I am working on Some aspects of Ideal Convergence in Convergence of sequence of function.
Conference participation
A generalization of density topology using ideals for certain measure spaces. December 16-20, IWATM-2024, Centre for Applied Mathematics, IIIT Naya Raipur, India.

Additional information

Hobbies & interests
Reading Nonfiction and Playing Chess

Publications (4)

  1. On a generalized density point defined by families of sequences involving ideals — Amar Kumar Banerjee, Indrajit Debnath — Mathematica Bohemica — 2026 — 10.21136/MB.2025.0043-24 — https://articles.math.cas.cz/10.21136/MB.2025.0043-24
  2. On Sparse Set Topology Using Ideals in the Space of Reals — Indrajit Debnath, Amar Kumar Banerjee — Real Anal. Exchange — 2025 — 10.14321/realanalexch.1730540407 — https://projecteuclid.org/journals/real-analysis-exchange/volume-50/issue-2/On-Sparse-Set-Topology-Using-Ideals-in-the-Space-of/10.14321/realanalexch.1730540407.short
  3. ON SOME TOPOLOGY GENERATED BY I-DENSITY FUNCTION — INDRAJIT DEBNATH, AMAR KUMAR BANERJEE — Bulletin of Mathematical Analysis and Applications — 2024 — https://doi.org/10.54671/BMAA-2024-3-1 — https://bmathaa.org/repository/docs/BMAA16-3-1.pdf
  4. On density topology using ideals in the space of reals — Amar Kumar Banerjee and Indrajit Debnath — Filomat — 2024 — https://doi.org/10.2298/FIL2402743B — https://www.jstor.org/stable/27387005
On Campus: 27 °C