Chandankumar S

Dr. S Chandan kumar

Associate Professor and Head|Department of Mathematics and Statistics


Dr S. Chandankumar joined as an Assistant Professor of Mathematics in 2014 and was appointed the Head of the Department of Mathematics and Statistics at RUAS in 2019. In his early years at the university, he was involved in designing curriculum for undergraduate and postgraduate programmes in parallel with preparing lecture notes for various courses. He has taught various courses in Mathematics to undergraduate and graduate students of Science and Engineering. Recently, he was one among the 11 faculty members across the university to receive the coveted award of Exemplary Faculty under the teaching category. He also counsels students and constantly works on various pedagogical methods in teaching. Besides enjoying teaching and research work, he is highly experienced in administration having assumed the responsibilities of Head, Assistant Custodian, Deputy Custodian, BOS Member and BOE member over the years. His research work is focused on discovering new modular equations and theta function identities, most of which are influenced by Srinivasa Ramanujan. At present, he is working extensively on the theory of partitions and also guiding a doctoral student. He has published over 30 research articles which are indexed in MATHSCINET, SCOPUS and SCI journals and also presented more than a dozen research articles in national and international conferences. He has also been invited as resource person for faculty development programs and workshops.
He received his BSc and Master’s degrees in Mathematics from Bangalore University. Soon after, in 2009, he signed up as a Project Fellow for a major research project sanctioned by UGC at the Department of Mathematics, Bangalore University for three years. Alongside, he pursued his doctoral studies at Bangalore University and got his degree in 2013. In his free time, he enjoys playing cricket, reading novels and exploring nature through hiking and sky watching.

  1. Google Scholar: https://​schol​ar​.google​.co​.in/​c​i​t​a​t​i​o​n​s​?​u​s​e​r​=​L​l​_​7​7​w​0​A​A​A​A​J​&​hl=en
  2. MATHSCINET: http://​www​.ams​.org/​m​a​t​h​s​c​i​n​e​t​/​s​e​a​r​c​h​/​a​u​t​h​o​r​.​h​t​m​l​?​m​r​a​u​t​h​i​d​=​8​91036
  3. Scopus: https://​www​.sco​pus​.com/​a​u​t​h​i​d​/​d​e​t​a​i​l​.​u​r​i​?​a​u​t​h​o​r​I​d​=​5​4​9​7​4​0​92700
  4. ORCHID id: https://​orcid​.org/0000 – 0002-1897 – 1038

Qualifications

  • Ph. D. (Mathematics)

    Bangalore University

  • M. Sc. (Mathematics)

    Bangalore University

  • B. Sc.(Mathematics, Electronics, Computer Science)

    Bangalore University

Experience

Total Experience: 8 years

Assistant Professor — Department of Mathematics, Sri Krishna Institute of Technology, Sept. 2012 to Jan. 2013

Assistant Professor — Department of Mathematics, Acharya Institute of Graduate Studies, Feb. 2013 to Jun. 2014

Assistant Professor — Department of Mathematics, FMPS, Ramaiah University of Applied Sciences, 2014 to present 

Training Experience

  1. M. Sc: Numerical Methods, Special Functions, Discrete Mathematics and Optimization Techniques, Mathematics for Chemists, Ordinary Differential Equations, Real Analysis
  2. B. Sc (Hons.): Introduction to Prorgamming, Ordinary Diferential Equations Lab and Data Modelling 
  3. B. Tech: Engineering Mathematics – I, II, III, IV and Mathematical Reasoning

Research Interest: Number Theory, q‑series, Modular Equations and Theory of Partition

Research Expertise: Modular equations and q‑series

Keywords

  • Number Theory
  • Modular Equations and Theory of Partition
  • Modular equations and q-series

Ph.D. Dissertation:

  1. Contributions to modular equations and their applications.”

National and International Journal Papers:

  1. M. S. Mahadeva Naika, B. Hemanthkumar B. and S. Chandankumar, New P‑Q mixed modular equations and their applications, Annali Dell’universita di Ferrara, 64 (2),(2018) 407 – 425.
  2. M. S. Mahadeva Naika, S. Chandankumarand K. Sushan Bairy, New identities for ratios of Ramanujan’s theta function, Adv. Stud. Contemp. Math., 27 (1) (2017), 131 – 146.
  3. M. S. Mahadeva Naika, S. Chandankumarand M. Harish, Certain new Schlafli – type mixed modular equations,Vietnam J. Math., 44 (3) (2016), 501−−512.
  4. M. S. Mahadeva Naika, N. P. Suman and S. Chandankumar, Schlafli-type mixed modular equations of degrees 1, 3, n and 3n, Afr. Diaspora J. Math., 18 (1) (2015), 55−−76.
  5. M. S. Mahadeva Naika, K. Sushan Bairy and S. Chandankumar, On some new modular equations of degree two akin to Ramanujan. Southeast Asian Bull. Math., 39 (1) (2015), 93−−112.
  6. M. S. Mahadeva Naika, S. Chandankumarand B. Hemanthkumar, On some new Modular relations for a remarkable product of theta – functions, Tbil. Math. J., 7 (1), (2014),55 – 68
  7. M. S. Mahadeva Naika, S. Chandankumar and B.Hemanthkumar, New Modular relations for cubic class invariants,Note Mat., 34 (2)(2014), 75−−90.
  8. M. S. Mahadeva Naika, S. ChandankumarandM.Harish, On some new mixed modular equations involving Ramanujan’stheta-functions. Math. Vesnik, 66, (3) (2014), 283−−293.
  9. M. S. Mahadeva Naika, K. Sushan Bairy and S.Chandankumar,On some explicit evaluation of the ratios ofRamanujan’s theta-function. Bull. Allahabad Math. Soc. 29 (1)(2014) 53−−86.
  10. M. S. Mahadeva Naika, K. Sushan Bairy and S.Chandankumar, Certain identities for a continued fraction ofRamanujan. Adv. Stud. Contemp. Math., 24 (1) (2014), 45−−66.
  11. M. S. Mahadeva Naika, B. N. Dharmendra and S. Chandankumar,On some new modular relations for Ramanujan’s 𝑘(q)-function and 𝜈(𝑞)-function. Palestine Journal of Math. 3 (1) (2014), 44 – 60.
  12. M. S. Mahadeva Naika, S. Chandankumarand M. Harish, On some new P – Q mixed modular equations. Annali Dell’universita di Ferrara, 59 (2) (2013), 353−−374.
  13. M. S. Mahadeva Naika, S. ChandankumarandB. Hemanthkumar, On some new modular relations for Ramanujan’sremarkable product of theta functions. Adv. Stud. Contemp. Math.,23 (3) (2013), 431 – 449.
  14. M. S. Mahadeva Naika, S. Chandankumarand N. P. Suman, Certain new modular identities for Ramanujan’s Cubic continued fraction. New Zealand J. Math., 40, (2013), 157 – 175.
  15. M. S. Mahadeva Naika, S. Chandankumarand M. Harish, Some new modular relations for Ramanujan’s theta function. Indian J. Math., 55 (1) (2013), 41 – 55.
  16. M. S. Mahadeva Naika and S. Chandankumar, Some new modular equations and their applications, Tamsui Oxf. J. Inf. Math. Sci., 28 (4), (2012), 437 – 469.
  17. M. S. Mahadeva Naika, S. Chandankumarand N. P. Suman,Certain modular identities for Ramanujan’s Cubic continued fraction. Far East Journal of Mathematical Sciences,75 (1), (2013), 101 – 124.
  18. M. S. Mahadeva Naika, B. N. Dharmendra and S. Chandankumar,Some identities for Ramanujan-Gollnitz-Gordon continued fraction, Aust. J. Math. Anal. Appl., 10 (1), Art. 2, (2013), 1 – 36.
  19. M. S. Mahadeva Naika, S. Chandankumarand K. Sushan Bairy,Some new identities for a continued fraction of order 12, South East Asian J. Math. Math. Sci.,10 (2), (2012), 129−−140.
  20. M. S. Mahadeva Naika, S. Chandankumar and K. Sushan Bairy, New identities for Ramanujan’s cubic continued fraction, Funct. Approx. Comment.Math., 46 (1), (2012), 29 – 44.
  21. M. S. Mahadeva Naika, S. Chandankumarand K. Sushan Bairy,On some new identities for Ramanujan’s cubic continued fraction, Int. J. Contemp. Math. Sciences,7 (20), (2012), 953 – 962.
  22. M. S. Mahadeva Naika, B. N. Dharmendra and S. Chandankumar,New modular relations for Ramanujan’s parameter 𝜇(q), Int. J. Pure Appl. Math., 74 (4) (2012), 413−−435.
  23. M. S. Mahadeva Naika, S. Chandankumarand M. Manjunatha,On some new modular equations of degree 9 and their applications, Adv. Stud. Contemp.Math., 22 (1) (2012), 99−−115.
  24. M. S. Mahadeva Naika, S. Chandankumarand M. Manjunatha,On some new modular equations and their applications to continued fractions, Int. Math. Forum, 6 (58),(2011), 2881 – 2905.
  25. M. S. Mahadeva Naika, S. Chandankumarand K. Sushan Bairy,On some parameter involving Ramanujan’s cubic continued fraction, Indian J. Math., 53 (3), (2011), 495−−509.
  26. M. S. Mahadeva Naika, S. Chandankumarand K. Sushan Bairy,Modular equations for the ratios of Ramanujan’s theta function 𝜓and evaluations, New Zealand J. Math.,40 (2010), 33−−48.
  27. M.S. Mahadeva Naika and S. Chandankumar,Some new Schlafli-type modular equations in quartic theory, Ramanujan Rediscovered No. 14 (2010),185 – 199.
  28. T. Kim, M. S. Mahadeva Naika, S. Chandankumar, Lee-Chae Jang, Young-Hee Kim and Byungje Lee, On some new Schlafli-type cubic modular equations, Adv. Stud. Contemp. Math., 20 (1) (2010),63 – 80

  1. Worked as Project Fellow in the Major Research Project (UGC) Some aspects of modular equations and eta-function identities, Feb. 2009 to Mar. 2012.
  2. Best Paper Presentation Award in National Meet of Research Scholars in Mathematical Sciences — 2011 held at IIT Kharagpur, Kharagpur, West Bengal

  • Indian Mathematical Society,

    Life Member

  • Indian Society of Mathematics and Mathematical Sciences

    Life Member

  • The Indian Science Congress Association,

    Life Member

  • i-Xplore International Research Journal Consortium

    Life Member