"Cubic Spline of a Cubic Pisot Number is not a Pisot Number ", Positif Journal, Vol-2022-Issue-08, August 2022, ISSN NO : 0048-4911 https://drive.google.com/file/d/1_mxG4yKjeyPuN-Ef_obc_W2Mf7W_s7Sj/view
Presented a Paper at Arul Anandar College (Autonomous) April 2022, "Spline for Cubic Pisot Number" https://drive.google.com/file/d/12_veVsWZWHLQrA856ae5TD0IbmwBj1IE/view?usp=sharing
"Triangular Square Numbers as the Approximation of Quadratic Pisot Numbers", GIS SCIENCE Journal Volume 9, ISSUE 3,March 2022, Page No:1184-1188, ISSN NO : 1869-9391 https://drive.google.com/file/d/1wBkgM_DN0v5GQKEd8OqRAHCE8LE2slDt/view
"Beta Expansion of Pisot Roots with pseudo co-factor", International Journal of Scientific Research Mathematical and Statistical Sciences Volume-7, Issue-1, pp.80-85, February (2020) E-ISSN: 2348-4519 www.isroset.org/pdf_paper_view.php?paper_id=1747&13-ISROSET-IJSRMSS-02879.pdf
Presented a Paper at ICASEM 2020, "Best Approximation of Algebraic Number" https://drive.google.com/file/d/1jzca15d3JEcutqfyR_9wrBaTDFji7jGW/view?usp=sharing
"Pisot Numbers Property by Fibonacci sequence" IJETSR ,ISSN 2394 – 3386 ,Volume 4, Issue 11 November 2017 drive.google.com/file/d/1qODxB5wZ65cTeE7fbEBX3QqzI_3BIsFP/view?usp=sharing
2023 - 24
https://drive.google.com/file/d/1jRRIncNbcqspPgoU-kLosZfm6dLTD0vn/view?usp=sharing
https://drive.google.com/file/d/1ZCX77EUoX4CN4kJuZIjmdrOBWz9WDudH/view?usp=sharing
https://drive.google.com/file/d/1wIy-zPW_XdMOUhGOKwYGVQR65XSujXrM/view?usp=sharing
https://drive.google.com/file/d/1E3OUKCGCXraJMNSa7sk4ets5Jbm-j0Bn/view?usp=sharing
ARASUEC - Continued Fraction in Mathematics https://drive.google.com/file/d/1qg-Vyx-p--aHwxAThcp5eSK_98pHMUys/view?usp=sharing
AMC Engineering College - Application of Probability and Statistics in Speech Recognition https://drive.google.com/file/d/1vTSS4XvdAM9muTSC9PAJirIDwhColPTR/view?usp=sharing
GITAM UNIVERSITY - Applications of Statistics in Data Science https://drive.google.com/file/d/1DZuLET5aPMmqE3BqNaQJcy-xsJG1W-bw/view?usp=sharing
VIVEKANANDA INSTITUTE of TECHNOLOGY - Underground Structuresb for Rapid Transport https://drive.google.com/file/d/1iizLGBaavYRgTX2Wll1Uhajpkm8T5xsz/view?usp=sharing
NARASARAOPETA ENGINEERING COLLEGE - Trends and Challenges in CFD https://drive.google.com/file/d/1UeIgNPc67ydySBR4UweT17HTvyzDAO1r/view?usp=sharing
ADIKAVI NANNAYA UNIVERSITY - Impact of Goverment Innovative and Pathbreaking Policies of Education https://drive.google.com/file/d/1sr1Astu9WgcJToIePPGCxcUHRAX71p50/view?usp=sharing
St.JOSEPH'S INSTITUTE of TECHNOLOGY - Application of Grammar Systems to Cryptography https://drive.google.com/file/d/1cDeGej11d9hnm2DOtqFbbxqta9cvGrsw/view?usp=sharing
GURUCHARAN COLLEGE - Prime divisors in an arithmetic progression https://drive.google.com/file/d/1-pcfhg4oTfk2UpTx9kciU6JKrW9AGhZx/view?usp=sharing
GAYATRI VIDYA PARISHAD COLLEGE - Explorating of Physical Science and Engineering with Mathematics https://drive.google.com/file/d/1WH9QsJVXXDSBhUJicFSUpFuxk4_C7RZd/view?usp=sharing
TIRUMALA ENGINEERING COLLEGE - Role of Composites in Modern Engineering Era https://drive.google.com/file/d/10pwNxuuaM9UKu7swfBeQA25YV5Mw7MiO/view?usp=sharing
MANIPAL UNIVERSITY - Numerical and Scientific Computing https://drive.google.com/file/d/15zth9lTt89Fyu0r-sDzfwnz1U0aBhFhQ/view?usp=sharing
GLOBAL MATH DEPARTMENT - Revolution is Needed in High School Geometry https://drive.google.com/file/d/1i8iH-yyWvPYgHcWXhZ_pXTIwlVfvzYN9/view?usp=sharing
GITAM UNIVERSITY - Mathematical Modelling & Sample Size Determination in Research https://drive.google.com/file/d/1U1XnHmB7mR5E8A-fRXrKBJnP7FK43-kG/view?usp=sharing
VIGNAN UNIVERSITY - Applications of Graphs in Communication and Social Networks https://drive.google.com/file/d/1xGqt-cbP4PrQHESoOcBrco7W0K5mgivI/view?usp=sharing
St.JOSEPH'S INSTITUTE of TECHNOLOGY - Graph Decomposition using Graph Labeling https://drive.google.com/file/d/1YV6chn59j8KYmgFHisTZZrPO482_Hpgq/view?usp=sharing
SIDDHARTHA COLLEGE OF ARTS & SCIENCE - “Fascinating World of Mathematics and Its Applications to Blood Flow https://drive.google.com/file/d/1Wicj02k_1Q9u7twnvlBdTCnirJ4gSFpl/view?usp=sharing
MANIPAL UNIVERSITY - Mathematical Models on Transmitting Behavior of COVID - 19 https://drive.google.com/file/d/1Rs7SBCAcS1Q_tz8oPdNWZkl4962SQMSf/view?usp=sharing
BVRIT - THE ART OF QUESTIONING ON REVISED BLOOM’S TAXONOMY https://drive.google.com/file/d/1fKiHW1lgoi1_HlKGpHM0qUlhFnPmLfqK/view?usp=sharing
VIJAYA ENGINEERING COLLEGE - GENERAL MATHEMATICS https://drive.google.com/file/d/19gO1FhHrTpC2Mvztqbi_9SFfVSipIkTC/view?usp=sharing
Andhra Loyola Institute of Engineering and Technology - Mathematics & Aptitude https://drive.google.com/file/d/1AmbwGo-rziuBxXaPn4h8GplUkmZ9q3Yd/view?usp=sharing
Vaagdevi Institute of Technology and Science - Basics of Probability & Statistics https://drive.google.com/file/d/1voPhPnfozm5mAm84x3YyOzn7WoFcBmTW/view?usp=sharing
Annamacharya Institute of Technology and Sciences - Aptitude and Reasoning Skills Test-II https://drive.google.com/file/d/1XDE0buw81wyppqPkzCQy-7k9eMxoqXd0/view?usp=sharing
KS School of Engineering and Management - Mathematics https://drive.google.com/file/d/1tsZUHiezCtITpM-piOBcmNrPRSPPbZ1T/view?usp=sharing
PALAMURU UNIVERSITY - Operations Research https://drive.google.com/file/d/1ItkjCcSU64wP4PmSe00sNtORsLj-S0rC/view?usp=sharing
VBIT - Quantitative Aptitude https://drive.google.com/file/d/13veC8p8pSKKtoTXCPTn2SHG0FG5d2wkW/view?usp=sharing
VAAGESWARI COLLEGE OF ENGINEERING - Mathematics https://drive.google.com/file/d/1wtVvnOCWkl7JF3fRN1hiefU_CZ_qFhR6/view?usp=sharing
GOVERNMENT ARTS COLLEGE - Analysis and Algebra https://drive.google.com/file/d/1DVjYugAHdgMjrJ2ooWR0es9uws2qtnJW/view?usp=sharing
BVRIT - THE ART OF QUESTIONING ON REVISED BLOOM’S TAXONOMY https://drive.google.com/file/d/1fKiHW1lgoi1_HlKGpHM0qUlhFnPmLfqK/view?usp=sharing
VIJAYA ENGINEERING COLLEGE - GENERAL MATHEMATICS https://drive.google.com/file/d/19gO1FhHrTpC2Mvztqbi_9SFfVSipIkTC/view?usp=sharing
Andhra Loyola Institute of Engineering and Technology - Mathematics & Aptitude https://drive.google.com/file/d/1AmbwGo-rziuBxXaPn4h8GplUkmZ9q3Yd/view?usp=sharing
Vaagdevi Institute of Technology and Science - Basics of Probability & Statistics https://drive.google.com/file/d/1voPhPnfozm5mAm84x3YyOzn7WoFcBmTW/view?usp=sharing
Annamacharya Institute of Technology and Sciences - Aptitude and Reasoning Skills Test-II https://drive.google.com/file/d/1XDE0buw81wyppqPkzCQy-7k9eMxoqXd0/view?usp=sharing
KS School of Engineering and Management - Mathematics https://drive.google.com/file/d/1tsZUHiezCtITpM-piOBcmNrPRSPPbZ1T/view?usp=sharing
PALAMURU UNIVERSITY - Operations Research https://drive.google.com/file/d/1ItkjCcSU64wP4PmSe00sNtORsLj-S0rC/view?usp=sharing
VBIT - Quantitative Aptitude https://drive.google.com/file/d/13veC8p8pSKKtoTXCPTn2SHG0FG5d2wkW/view?usp=sharing
VAAGESWARI COLLEGE OF ENGINEERING - Mathematics https://drive.google.com/file/d/1wtVvnOCWkl7JF3fRN1hiefU_CZ_qFhR6/view?usp=sharing
GOVERNMENT ARTS COLLEGE - Analysis and Algebra https://drive.google.com/file/d/1DVjYugAHdgMjrJ2ooWR0es9uws2qtnJW/view?usp=sharing