I am Pramod Kumar Das, completed B.Sc. Mathematics in 2011 from Jadavpur University (Kolkata) and earned M.Sc. Mathematics in 2013 from IIT Bombay (Mumbai). I completed Ph.D. Mathematics (Topological Dynamics) in October 2019 at the Department of Mathematics, Faculty of Mathematical Sciences , University of Delhi (New Delhi) under the supervision of Prof. Tarun Kumar Das. My research interest is in Ergodic Theory, Topological Dynamics and Commutative Algebra.
In my opinion, the primary role of an academician is teaching and research. These are not necessarily disjoint water-tight compartments though distinct. Some of the components of one's research projects often get intertwined with teaching of mathematics.
My objective is to pursue both in tandem. Good teaching fosters good research by drawing intelligent students towards mathematics propelling them to opt for state of the art elective courses and further on take on challenges in research. This however cannot be at an advanced level but essential to create a future layer of good young researchers who would put India on the world map.
At the same time I would like to drive my research forward through collaborations both within and outside of India. Dynamical systems in this country is still under-represented in contrast to other areas of mathematics. Dynamical systems is a vast and active area of mathematics owing to its interactions with other areas such as differential equations, differential geometry and number theory to name a few.
(1) Secured Rank 218 in IIT JAM, 2011
(2) Availed DST-INSPIRE Scholarship during Bachelors and Masters program
(3) Secured Rank 63 (UGC-JRF) in National Eligibility Test, 2013 (JUNE)
(4) Availed DST-INSPIRE Fellowship (JRF+SRF) for Pursuing PhD during the period from March 2015 to March 2019.
Positions of Responsibility
(1) Volunteer for the’ Department of Mathematics Stall in Tech Fest 2011’ organized by IIT Bombay. [January 2012]
(2) Member of Logistics and Ragistration team of ‘Mathematics Olympiad 2012’organized by Department of Mathematics, IIT Bombay. [January 2012]
(3) Member of the Design team of ‘Mathematics Olympiad 2013’ Organized by Department of Mathematics,IIT Bombay. [January 2013]
(4) Teaching assistant for the courses named "Topological Dynamics", "Field Theory", "Topology-II" in the Department of Mathematics, University of Delhi. [During PhD]
Participation in Conference/Seminar
(1) "Topology and Dynamics Conference" organized by the Department of Mathematics, IISER Bhopal during December 03-05, 2015.
(2) "National Conference on Algebra, Analysis, Coding and Cryptography" organized by the Department of Mathematics, University of Delhi during October 14-15, 2016.
(3) Advanced Instructional School (AIS) on "Ergodic Theory and Dynamical Systems" organized by the Department of Mathematics, IIT Delhi during December 4-23, 2017.
(4) "International Workshop and Conference on Topology and Applications" organized by Rajagiri School of Engineering and Technology, Kochi during December 5-11, 2018.
(5) "Spring Topology and Dynamics Conference" organized virtually by Murray State University, USA during May 12-15, 2021.
Presentation in Conference/Seminar
(1) Delivered a seminar talk in the Department of Mathematics, IIT Bombay on 29th January, 2018.
(2) Presented a paper entitled "Topological Stability and Measurable Stability for Group Actions" in "The 33rd Annual Conference of the Ramanujan Mathematical Society" organized by the Department of Mathematics, University of Delhi during June 1-3, 2018.
(3) Delivered a seminar talk in "Research Scholar Seminar" organized by the Department of Mathematics, University of Delhi in December, 2018.
(1) Pramod Das, Tarun Das, Various Types of Shadowing and Specification on Uniform Spaces, Journal of Dynamical and Control Systems, Volume 24, (2018), 253-267.
(2) Pramod Das, Tarun Das, A Note on Measure and Expansiveness on Uniform Spaces, Applied General Topology, Volume 20, (2019), 19-31.
(3) Pramod Das, Abdul Gaffar Khan, Tarun Das, Measure Expansivity and Specification for Pointwise Dynamics, Bulletin of the Brazilian Mathematical Society, New Series, Volume 50, (2019), 933-948.
(4) Pramod Das, Tarun Das, Topologically Stable Measures in Non-Autonomous Systems, Communications of the Korean Mathematical Society, Volume 35, (2020), 287-300.
(5) Abdul Gaffar Khan, Pramod Das, Tarun Das, Pointwise Dynamics Under Orbital Convergence, Bulletin of the Brazilian Mathematical Society, New Series, (2019).
(6) Pramod Das, Tarun Das, Stable Group Actions on Uniform Spaces, Topology Proceedings, Volume 56, (2020), 71-83.
(7) Abdul Gaffar Khan, Pramod Kumar Das, Tarun Das, Topologically Stable Equicontinuous Non-Autonomous Systems, Filomat, Volume 35, (2021), 3721-3731.
(8) Abdul Gaffar Khan, Pramod Kumar Das, Tarun Das, Sequential Shadowing Implies Spectral Decomposition Property, To Appear in Topology Proceedings, 2022.
(1) Abdul Gaffar Khan, Pramod Kumar Das, Tarun Das, GH-Stability for Group Actions, Communicated.
(2) Abdul Gaffar Khan, Pramod Kumar Das, Tarun Das, Specification for Group Actions on Uniform Spaces.
(3) Pramod Kumar Das, Tarun Das, Mean Ergodic Shadowing.
Manuscripts Under Preparation
(1) Pramod Kumar Das, Abdul Gaffar Khan, Variants of Shadowing: Global and Pointwise.
(2) Priyabrata Bag, Pramod Kumar Das, Shubhankar Podder, On Measure Expansive Systems.
Responsibility as Reviewer
The following research papers are reviewed by me for publication in MathSciNet
(1) Pravec Vojtech, Remarks on definitions of periodic points for nonautonomous dynamical system, Journal of Difference Equations and Applications, 25 (2019), 1372-1381.
(2) M. Salman, Ruchi Das, Multi-transitivity in non-autonomous discrete systems, Topology and its Applications, 278 (2020), 107237, 11 pp.
Also, I am a member of the Board of Reviewers in Journal of Difference Equations and Applications, Taylor & Francis.
The following are the courses taught by me to the undergraduate mathematics (Hons.) students, in the year 2019-2020
(1) Elementary Calculus (First Year First Semester)
(2) Elementary Probability (First Year Second Semester)
(3) Real Analysis (First Year Second Semester)
The following are the courses taught by me to the undergraduate mathematics (Hons.) students, in the year 2020-2021
(1) Elementary Calculus (First Year First Semester)
(2) Multivariate Calculus (Second Year First Semester)
(3) Elementary Probability (First Year Second Semester)
(4) Measure Theory (Second Year Second Semester)
I have been teaching the following courses to the undergraduate mathematics (Hons.) students, in the year 2021-2022
(1) Elementary Calculus (First Year First Semester)
(2) Multivariate Calculus (Second Year First Semester)
(3) Complex Analysis (Second Year First Semester)
(4) Measure Theory (Second Year Second Semester)
(5) Elementary Probability (First Year Second Semester)
(6) Topology of Metric Spaces (First Year Second Semester)
