Dr. Makeshwari M

Teaching

Educational Background

Research

Area of Interest

• Algebra and Number Theory

Research publications

International journals

• M. Makeshwari, V.P. Ramesh, and R. Thangadurai, Sophie Germain prime p and the permutation of product of first p cycles, Quaestiones Mathematicae, vol. 47, no. 12, pg. 2479–2484, 2024, https://doi.org/10.2989/16073606.2024.2374787
• M. Makeshwari and V.P. Ramesh, Characterizing Safe Primes Via Primitive Roots, Mathematics Magazine, vol. 97, no. 4, pg. 426-429, 2024, https://doi.org/10.1080/0025570X.2024.2378664
• V. P. Ramesh, M. Makeshwari, and Saswati Sinha, Connecting primitive roots and permutations, Indian Journal of Pure and Applied Mathematics, vol. 55, pg. 513-516, 2024, https://doi.org/10.1007/s13226-023-00384-4
• V. P. Ramesh and M. Makeshwari, A note on generalized Sophie Germain primes, Resonance – Journal of Science Education, vol. 28, no. 6, pg. 923-928, 2023, https://doi.org/10.1007/s12045-023-1622-4
• V. P. Ramesh and M. Makeshwari, A Prime Primitive Root p of 2p+1 is a Sophie Germain Prime, The American Mathematical Monthly, vol. 129, no. 6, pg. 538, 2022, https://doi.org/10.1080/00029890.2022.2059961
• V. P. Ramesh and M. Makeshwari, Least Primitive Root of any Safe Prime is Prime,  The American Mathematical Monthly, vol. 129, no. 10, pg. 971, 2022, https://doi.org/10.1080/00029890.2022.2115816
• V. P. Ramesh, R. Thangadurai, M. Makeshwari and Saswati Sinha, A necessary and sufficient condition for 2 to be a primitive root of 2p+1, The Mathematics Student, Indian Mathematical Society, vol. 89, nos. 3-4, pg. 171-176, 2020
• V. P. Ramesh, M. Makeshwari and R. Thatchaayini, Non-Wieferich primes and generators of the multiplicative group, JP Journal of Algebra, Number Theory and Applications, (to appear)

Book Chapter

• V. P. Ramesh, M. Makeshwari, M. Prithvi, and R. Thatchaayini
  Identities from Partition of the Symmetric group S_n,
  Modular Forms and Related Topics in Number Theory, Springer Proc. Math. Stat.,
  Book Chapter, ISSN 2194-1009, ISSN (electronic) 2194-1017

International Conference presentations

• On the primality of primitive root of safe prime, 37th Annual Conference of Ramanujan Mathematical Society, SSN College of Engineering, Chennai, funded by DST and NBHM, 6th-8th December 2022.
• A note on primitive roots of for all , Indian Women and Mathematics (IWM) Annual Conference – 2019, Indian Institute of Technology, Bombay, funded by NBHM, 10th-12th June 2019.
• A relation connecting Non-Weiferich Primes and Primitive roots, International Conference on Algebra and Number Theory (CANT-2018), Central University of Tamil Nadu, Thiruvarur, 16th – 17th December 2018.

Training / Workshop / Conference

• One of the selected participants of International Conference on Number Theory and Related Topics (ICNTRT) – 2024 held at The Institute of Mathematical Sciences, Chennai & Indian Institute of Technology, Madras, (16th – 18th December 2024)
• One of the selected participants of Indian Women and Mathematics (IWM) Regional Workshop on Research and Opportunities – 2024 held at Central University of Tamil Nadu, Thiruvarur, funded by NBHM (5th – 6th October 2024)
• One of the selected participants of Indian Women and Mathematics (IWM) Annual Conference – 2017 held at Indian Institute of Science, Bangalore, funded by NBHM (13th-15th July 2017).
• Participated in 2-days Workshop on Big Data Analytics held at Central University of Tamil Nadu (4th -5th November 2016).
• Participated in 3-days Mathematics Workshop for Undergraduate Students held at Central University of Tamil Nadu (30th January to 1st February 2015).
• One of the selected participants of Mini-MTTS (Mathematics Training and Talent Search) 2014 program held at Periyar University, Salem, funded by NBHM (23rd June-5th July 2014).

Awards and recognition

• Qualified GATE, 2018
• Provisionally selected for INSPIRE Fellowship, 2017
• Qualified Joint CSIR-UGC JRF & NET held in June 2017
• First Rank Holder at Integrated M.Sc., Central University of Tamil Nadu, 2017.