Research Interest: Topological Dynamics, Linear Dynamics, Ergodic Theory, Data Science
Education:
2014-2019: Ph.D. (Mathematics), University of Delhi, India.
Ph.D. thesis title: Variants of shadowing and expansivity for dynamical systems on uniform spaces
2011-2013: M.Sc. Mathematics, IIT Bombay, India.
2008-2011: B.Sc. (Hons.) Mathematics, Jadavpur university, Kolkata, India.
Achievement
(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 Registration 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.
Faculty Development Program
(1) Participated in FDP on "Artificial Intelligence” organized by SBM, NMIMS, Mumbai during September 2-3, 2022.
(2) Participated in FDP on "Computational Mathematics with SageMath” organized by NSOMASA, NMIMS, Mumbai, during December 16-17, 2022.
Completed Courses (Online)
(1) Mathematics for Machine Learning: Linear Algebra, Imperial College London on Coursera.
(2) Mathematics for Machine Learning: Multivariate Calculus, Imperial College London on Coursera.
(3) Differential Equations Part I Basic Theory, Korea Advanced Institute of Science and Technology on Coursera.
Journal Publications
(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, Topology Proceedings, Volume 60 (2022), 169-179.
(9) Pramod Kumar Das, Tarun Das, Mean Ergodic Shadowing, Bulletin of the Brazilian Mathematical Society, New Series, Volume 54, (2023).
Manuscripts Under Review
(1) Abdul Gaffar Khan, Pramod Kumar Das, Tarun Das, Topological Stability in Paired Dynamical Systems.
Manuscripts Under Preparation
(1) Pramod Kumar Das, Abdul Gaffar Khan, Variants of Shadowing: Global and Pointwise.
(2) Priyabrata Bag, Pramod Kumar Das, Shubhankar Podder, Hiroyuki Osaka, 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.
I am a member of the Board of Reviewers in Journal of Difference Equations and Applications, Taylor & Francis.
I am a member of the Board of Reviewers in Bulletin of the Malaysian Mathematical Sciences Society, Springer.
Teaching Experience
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)
The following are the courses taught by me 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)
I also taught a course on Business Mathematics II to BBA E&FB (First Year Third Trimester) students, in the year 2021-2022.
The following are the courses taught by me to the undergraduate students, in the year 2022-2023 (odd semester)
(1) Univariate Calculus (First Year B.Sc. Applied Mathematical Computing)
(2) Multivariate Calculus (Second Year B.Sc. (Hons) Mathematics)
(3) Complex Analysis (Second Year B.Sc. (Hons) Mathematics)
I am teaching the following courses in the present semester:
(1) Analytic Number Theory (Third Year B.Sc. (Hons) Mathematics)
(2) Differential Calculus (First Year B.Sc. Applied Mathematical Computing)
(3) Numerical Methods (First Year B.Sc. Applied Statistics & Analytics)
(4) Numerical Methods (First Year B.Sc. Data Science)
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