Jamkhongam Touthang

Department of Applied Mathematics

Phone:+91 8447388585
Email: jamkhongamtouthang@dtu.ac.in; jtouthang@maths.du.ac.in

Qualifications

M.Sc. Mathematics (NEHU), M. Phil. (DU), PhD (Pursuing)

Areas of Interest

Functional Analysis, Frame Theory

Experience

1. Assistant Professor, Department of Mathematics, St. Edmund's College, NEHU, Shillong: May 2009 - April 2011.

2. Vice Principal, Bethany Christian College, Manipur University: May 2011 - January 2014

3. Visiting Faculty, Department of Mathematics, Churachandpur College, Manipur University:

    September 2011 - July 2012

4. Assistant Professor, Department of Mathematics, Miranda House, University of Delhi: July 2015 - May 2016

5. Assistant Professor, Dr. B. R. Ambedkar Institute of Technology, Port Blair: June 2016 - October 2018

6. Assistant Professor, Department of Applied Mathematics, Delhi Technological University: October 2018 - Till Date

 

Awards and Honours

  • CSIR-UGC National Eligibility Test (NET), December 2008
  • CSIR-UGC Junior Research Fellowship, December 2015

 

Membership of Professional Bodies

  • Life Member, Indian Mathematical Society (IMS), India

 

Courses Taught

May 2009 - April 2011, Department of Mathematics, St. Edmund's College, North Eastern Hill University

  • B.Sc. Mathematics (Pass & Honours), First Year, Algebra-I, Calculus-I, Real Analysis
  • B.Sc. Mathematics (Pass & Honours), Second Year, Algebra-III (Linear Algebra), Advanced Calculus-II
  • B.Sc. Mathematics (Pass & Honours), Third Year,  Abstract Algebra, Analytical Geometry, Advanced Calculus-III

September 2011 - July 2012, Department of Mathematics, Churachandpur College, Manipur University

  • B.Sc. Mathematics Honours, Second & Third Year, Real Analysis, Abstract Algebra

July 2015 - May 2016, Department of Mathematics, Miranda House, University of Delhi

  • B.Sc. Honours, First & Second Year, Mathematics-I, GE Calculus, Algebra & Calculus
  • B.Sc. Honours, Third Year, Analysis-V
  • B. Sc. Honours, Third Year, Sixth Semester, 605: PDEs, Laplace Transform, Calculus of Variation. 

June 2016 - October 2018, Dr. B. R. Ambedkar Institute of Technology, Port Blair, Pondicherry University

  • B.Tech. Second Semester, Mathematics-II (Elementary Matrix Theory, Vector Calculus, Integral Transforms-Fourier & Laplace Transforms) 
  • B. Tech. Third Semester, Mathematics-III (Complex Analysis, Complex Fourier Series)
  • B.Tech. Fourth Semester, Mathematics-IV (PDEs, Fourier Series, Statistics)
  • B. Tech. Fifth Semester, Mathematics-V, Probability & Random Processes

October 2018 - May 2019, Department of Applied Mathematics, Delhi Technological University 

  • B.Tech. Third Semester, MC 207: Engineering Analysis and Design (Differential Equations and Applications)
  • B.Tech. First Semester, MA 101: Mathematics-I
  • B. Tech. Sixth Semester, MC 310: Software Engineering
  • B. Tech. Second Semester, MA 102: Mathematics-II
  • Practical Classes: MC 207: Differential Equations and Applications, MC 303: Stochastic Processes, MC 405: Graph Theory, MC 205: Probability and Statistics, MC 302: Database Management System (DBMS)

August 2019 - May 2020, Department of Applied Mathematics, Delhi Technological University 

  • B.Tech. Third Semester, MC 207: Engineering Analysis and Design (Differential Equations and Applications)
  • B.Tech. First Semester, MA 101: Mathematics-I
  • B. Tech. Sixth Semester, MC 310: Software Engineering
  • B. Tech. Second Semester, MA 102: Mathematics-II
  • Practical Classes: MC 207: Differential Equations and Applications, MC 205: Probability and Statistics, MC 418: Optimization Techniques, MC 320: Web Technology

August 2020 - May 2021, Department of Applied Mathematics, Delhi Technological University 

  • B.Tech. Third Semester, MC 207: Engineering Analysis and Design (Differential Equations and Applications)
  • B. Tech. Third Semester, MC 205: Probability and Statistics
  • B.Tech. First Semester, MA 101: Mathematics-I
  • B. Tech. Sixth Semester, MC 310: Software Engineering
  • B. Tech. Second Semester, MA 102: Mathematics-II
  • Practical Classes: MC 207: Differential Equations and Applications, MC 205: Probability and Statistics, MC 302: Database Management System (DBMS), MC418: Optimization Techniques

August 2021 - May 2022, Department of Applied Mathematics, Delhi Technological University 

  • M.Sc. Mathematics, Fourth Semester, MSMA 202: Measure and Integration 
  • B.Tech. Third Semester, MC 207: Engineering Analysis and Design (Differential Equations and Applications)
  • B.Tech. First Semester, MA 101: Mathematics-I
  • B. Tech. Sixth Semester, MC 310: Software Engineering
  • B. Tech. Second Semester, MA 102: Mathematics-II
  • Practical Classes: MC 207: Differential Equations and Applications, MC 203: Mathematics-III, MC 204: Scientific Computing, MC418: Optimization Techniques

August 2022 - May 2023, Department of Applied Mathematics, Delhi Technological University 

  • M.Sc. Mathematics, Third Semester, MSMA 201: Functional Analysis 
  • M.Sc. Mathematics, Fourth Semester, MSMA 202: Measure and Integration
  • B.Tech. First Semester, MA 101: Mathematics-I
  • B. Tech. Sixth Semester, MC 310: Software Engineering
  • B. Tech. Second Semester, MA 102: Mathematics-II
  • Practical Classes: CS 251: Data Structure, MC 203: Mathematics-III, MC 204: Scientific Computing, MC 302: Database Management System (DBMS)

 

Conferences (Attended/Paper Presented/Organized)

  • Presented a paper titled Atomic Systems for Operators in Banach Spaces at the International Conference on Mathematical Analysis and Its Applications (ICMAA-2019), 14-16 December 2019, organized by the Department of Mathematics, Faculty of Mathematics and Computer Science, South Asian University, New Delhi 110021, India.
  • Attended the International Conference on Applicable Analysis (ICAA-2017), 08-11 February 2017, organized by the Department of Mathematics, University of Delhi, New Delhi 110007, India.
  • Organizing member International Conference on Recent Advances in Pure and Applied Mathematics (ICRAPAM-2018), 23-25 October 2018, organized by the Department of Applied Mathematics, Delhi Technological University, New Delhi 110042, India.
  • Presented a paper titled Recent Applications of Conformal Mappings at the National Conference on Advances in Mathematical Analysis and Its Applications (NCAMAA-2019), 08-10 November 2019, organized by the Department of Mathematics, PGDAV College, University of Delhi, Delhi 110007, India.
  • Attended the International Conference on Applicable Mathematics (ICAM-2019), 19-21 December 2019, organized by the Department of Mathematics, Ramanujan College, University of Delhi, New Delhi 110007, India.
  • Presented a paper titled Contributions of Mathematical Sciences to Industry at the National Conference on Emerging Trends in Mathematical Sciences for Industry and Environment (ETMSIE-2020), 27-29 January 2020, organized by the Department of Mathematics, Shaheed Bhagat Singh College, University of Delhi, New Delhi 110017, India.
  • Presented a paper titled On the Applications of Frame Theory at the International Conference on Analysis and Its Applications (ICAA-2023), 27-28 February 2023, organized by the Department of Mathematics, Shivaji College, University of Delhi, New Delhi 110027, India.
  • Presented a paper titled Perturbation of Operator Representations of Frames at the 4th Conference on Algebra, Analysis, and Applications (CAAA-2023), 9 December 2023, School of Liberal Studies, Dr. B. R. Ambedkar University, Delhi 110006, India.
  • Presented a paper titled Essential Aspects of Gabor Frames and Their Emerging Applications at the International Conference on Mathematics and Applications (ICMA-2024), 10-12 January 2024, Department of Mathematics, Mata Sundri College for Women, University of Delhi, Delhi 110002, India.
  • Presented a paper titled Orbit Representations of Frames at the International Conference on Emerging Trends in Computational Mathematics and Data Science (ICETCMDS-2024), 10-11 January 2024, Department of Mathematics, Sri Krishna Arts and Science College (Autonomous), Bharathiar University, Coimbatore, Tamil Nadu 641008, India.
  • Presented a paper titled On Approximately Dual Wavelet Frames at the International Conference on Advances in Applied Mathematics (ICAAM-2024), 10-11 January 2024, Department of Mathematics, University College of Science, Tumkur University, Karnataka 572103, India.
  • Presented a paper titled Operator Representations of Frames and Approximations at the International Conference on Analysis and Its Applications (ICAA-2024), 19-21 January 2024, Department of Mathematics, Faculty of Sciences, Jamia Millia Islamia, New Delhi 110025, India.
  • Presented a paper titled Mathematical Foundations of Machine Learning for Scientific and Engineering Applications at the International Conference on Applied Mathematics and Nanoscience (ICAMN-2024), 23-25 January 2024, Department of Applied Sciences and Humanities, Vidya Academy of Science and Technology, Thrissur, in association with Centre for Studies in Discrete Mathematics (CSDM) & Kerela Mathematical Association (KMA), India.
  • Presented a paper titled Wavelets and Their Recent Applications at the International Conference on Emerging Trends in Mathematical Sciences & Computing (IEMSC-2024), 2-4 February 2024, Institute of Engineering & Management (IEM), Kolkata 700091, West Bengal, India. The paper was selected the Best Paper in the Contributory Track IC Applied Mathematics.
  • Presented a paper titled On Wavelet Frames and Extension Principles at the International Conference on Pure and Applied Mathematics (ICPAM-2024), 22-23 February 2024, Department of Mathematics, Janki Devi Memorial College (JDMC), University of Delhi, Delhi 110060, India. Funded by National Board of Higher Mathematics (NBHM), India.
  • Presented a paper titled Characterizations of Dual Weyl-Heisenberg Frames at the International Conference on Advances in Pure and Applied Mathematics (ICAPAM-2024), 8-10 February 2024, Department of Mathematics & IQAC, Shyam Lal College (SLC), University of Delhi, Delhi 110032, India. 
  • Presented a paper titled Approximate Duals of Gabor Frames at the International Conference on Mathematical Sciences and Applications (ICMA-2024), 15-16 February 2024, Department of Mathematics, Sacred Heart College (Autonomous), Tirupattur, Vellore, Tamil Nadu 635601, India.
  • Presented a paper titled On Representations of Frames as an Orbit of a Bounded Operator at the Conference on Functional Analysis and Fractals (CFAF-2024), 16-18 February 2024, Indian Institute of Information Technology (IIIT) Allahabad, Uttar Pradesh 211012, India.
  • Presented a paper titled Duality in Operator Representations of Frames at the International Conference on Contemporary Researches in Engineering, Science, Management & Arts (ICCRESMA-2024), 22-24 February 2024, Centre for Research & Training, National Foundation for Entrepreneurship Development (NFED), Coimbatore, Tamil Nadu, India.
  • Presented a paper titled Extension Problems for Gabor and Wavelet Frames at the International Conference on Research Trends in Mathematics and Data Science (ICRTMDS-2024), 1-2 March 2024, jointly organized by PG Department of Mathematics, Department of Computer Science with Data Science, Patrician College of Arts and Science. University of Madras, Chennai, & PG and Research Department of Mathematics, Sacred Heart College (Autonomous), Thiruvalluvar University, Tirupattur, Tamil Nadu, India. 
  • Presented a paper titled Weyl-Heisenberg Frames and Orbits of Bounded Operators at the International Conference on Mathematical Challenges and Novel Applications (ICOMACNA-2024), 21-22 March 2024, ANJA College (Autonomous) Sivakasi, RIT Rajapalayam, SFR College for Women (Autonomous) Sivakasi 626123, Tamil Nadu, India.
  • Presented a paper titled Operator Orbits and Wavelet Frames at the National Conference on Ancient Mathematics and Its Emerging Areas (AMEA-2024), 24 April 2024, Department of Mathematics, Teerthankar Mahaveer University, Uttar Pradesh, India.
  • Participated the International Conference on Recent Trends in Mathematics, Statistics, and Engineering (ICRTMSE-2023), 22-23 December 2023, School of Technology Management and Engineering & SVKM's NMIMS, Indore, Madhya Pradesh, India.
  • Presented a paper titled Open Problems in Operator Representations of Frames at the International Conference on Mathematics and Applications in Science, Technology and Society (ICMASTS--2024), 09-10 May 2024, Department of Mathematics, Assam Don Bosco University, Assam, India. 
  • Presented a paper titled Redundancy of Carleson Frames at the International Conference on Applied Mathematics (ICAM-2024), 27-28 June 2024, Department of Applied Mathematics, Vidyasagar University, West Bengal, India. 

 

Workshops/Seminars/Symposiums/Lectures

  • Participated International Symposium on Advances in Mathematical Sciences (ISAMS), 23-24 March 2024, Canadian University Dubai, UAE & Dr. B. R. Ambedkar National Institute of Technology Jalandhar (NITJ), India.
  • Workshop on Algebraic Codes and MAGMA Computation, 10-11 November 2023, Indian Institute of Technology Patna (IITP), Patna 801106, Bihar, India.
  • Online Short-Term Course on Mathematics with Computational Learning for Engineering and Technological Applications (MCET 2023), 20-24 November 2023, Department of Mathematics, Dr. B. R. Ambedkar National Institute of Technology Jalandhar, Punjab, India.
  • Two Days International Workshop on Scientific Modelling and Engineering Applications Using MATLAB, 14-15 December 2023, K. S. R. College of Engineering, Tiruchengode 637215, Tamil Nadu, India.
  • Participated the National Seminar on Mathematical Applications in Data Science and Artificial Intelligence (NSMADAI-2023), 22 December 2023, Department of Mathematics, Gauhati University, Guwahati 781014, Assam, India.
  • Participated International Workshop on Virtual Element Analysis: Scientific Computation and Applications, 10-12 January 2024, Department of Mathematics, School of Advanced Sciences, Vellore Institute of Technology, Vellore, India.
  • International Online Workshop on Containers and OpenShift, 28 February 2024, IPSR Solutions Limited & Valin-UK, USA and Canada.
  • Five Days (Online) National Workshop on Mathematical Modelling and Simulation, 13-17 February 2024, Department of Mathematics, Sri Guru Nanak Dev Khalsa College, University of Delhi, Delhi, India. 
  • Symposium on Some Recent Advances in Mathematics, 4-5 April 2007, Department of Mathematics, NEHU, Shillong-22, Meghalaya.
  • UGC-SAP Workshop on Algebra, Algebraic Topology, and Related Topics, 15-20 March 2010, Department of Mathematics, NEHU, Shillong-22, Meghalaya.
  • Participated One-Day M.Sc. Curriculum Workshop-2019, 14 November 2019, Department of Applied Mathematics, Delhi Technological University, New Delhi 110042, India.
  • Participated in National Webinar on Cyber Security, 26 June 2020, organized by the Department of Mathematics, Shaheed Bhagat Singh College, University of Delhi, New Delhi 110017, India.
  • Participated in Two Days International Webinar on Artificial Intelligence and Machine Learning, 7-8 July 2020, Department of Computer Science, Baba Farid College, Punjab University.
  •  

Faculty Development Programs/Short-Term Courses/Training Completed

  • A short-term training on the Outcome Based Curriculum, 27-30 September 2016, conducted by the National Institute of Technical Teachers’ Training and Research (NITTTR), Bhopal, Madhya Pradesh, India.
  • An Induction Training, 01-11 May 2017, conducted by the National Institute of Technical Teachers’ Training and Research (NITTTR), Kolkata, India.
  • Faculty Development Program on Game Changer, 1-2 March 2019, conducted by HRDC, Delhi Technological University, New Delhi 110042, India.
  • Faculty Development Program for Student Induction (FDP-SI), 21-23 October 2019, organized by AICTE at Delhi Technological University, New Delhi 110042, India.
  • One-Week Short-Term Training Programme on Graph Theory and Its Applications, 25-29 November 2019, conducted by the Department of Applied Mathematics, Delhi Technological University, New Delhi 110042, India.
  • GSuite for Education Training, 6 July 2020, conducted by HRDC Delhi Technological University, New Delhi 110042, India.
  • One Week Online International Faculty Development Programme on Machine Learning and Computer Vision: Applications, Research Challenges (MLCV-2020), 24-28 August 2020, jointly organized by the National Institute of Technology Silchar (Assam) and Gauhati University Institute of Science & Technology, Guwahati, Assam.
  • Faculty Development Program on Outcome-Based Engineering Education and Accreditation (OBEEA 2020), 21-23 September 2020, sponsored by TEQIP-III, organized by the National Institute of Technology Meghalaya.
  • One Week Interdisciplinary Faculty Development Programme on Optimization: The Omnipresent, 04-09 February 2022, organized by Motilal Nehru College, University of Delhi, in collaboration with Mahatma Hansraj Faculty Development Centre, Hansraj College, University of Delhi, Delhi 110007.
  • Faculty Development Programme on Artificial Intelligence for IoT Services in Cloud: Techniques & Applications, 28 February – 04 March 2022, organized by the Department of Information Technology, Dr. B. R. Ambedkar National Institute of Technology Jalandhar, Punjab 144011, India.
  • Participated in the 7 Day National Level Online Faculty Development Program on Oucome Based Education (OBE), 08-15 March 2023, organized by St. James College, Chalakudy, in association with Kerala State Higher Education Council, India.
  • One Week National Level Online Faculty Development Program on Outcome Based Education and Essential AI Tools for Teachers, 14-20 December 2023, organized by IQAC of Ramakrishna Mission Vivekananda Centenary College (Autonomous), Rahara, Kolkata, in association with the Department of Mathematics, Chaudhary Charan Singh University, Meerut, Uttar Pradesh, India.
  • Two-Week Interdisciplinary Refresher Course in Advanced Research Methodology, 17-31 December 2023, Teaching Learning Centre, Ramanujan College, University of Delhi, Delhi, India. Under the aegis of Ministry of Education, Government of India.
  • Two Weeks Online Training Programme on NEP 2020 Orientation & Sensitization Programme, 15-28 January 2024, under Malaviya Mission Teacher Training Programme (MM-TTP) of University Grants Commission (UGC), organized by Mahatma Hansraj Malaviya Mission Teacher Training Centre (MH-MMTTC), Hansraj College, University of Delhi, Delhi, India.
  • 5-Day Faculty Development Program on Mathematics in Engineering and Science-Importance and Applications (MES 2024), 02-06 January 2024, Department of Mathematics, School of Advanced Sciences, VIT-AP University, Andhra Pradesh, India.

 

Co-curricular/Extra-curricular activities

  • Delivered a talk on the Role of Media in Contemporary Society from All India Radio/Doordarshan, Churachandpur Station. Broadcast Date: 29 October 2011.
  • Delivered a talk on Water Scarcity from All India Radio/Doordarshan, Churachandpur Station. Broadcast Date: 07 April 2012.
  • Deputed as a member of a four-member team of officials by the Andaman & Nicobar Administration to study the academic/administrative models adopted at four Central Engineering Institutes, SLIET Punjab, CEC Chandigarh, GBPEC Delhi, and NERIST Arunachal Pradesh. 16 - 26 October 2016. 
  • Deputed as a judge/subject expert (Mathematics) in the State Level Exhibition Gyanodaya 2016-17, A & N Islands. 

 

Last Updated : 2024-08-18 00:12:53