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Ph.D. Thesis Guidance:

Dr. Thatchaayini R							Title of the thesis: A Note on Gauss's Theorem on primitive Roots ; DoJ: 3-September-2015 DoS: 5-September-2018 DoV: 7-December-2018 Current Position: Lecturer, Govt. Arts and Science College, Mayiladuthurai
Dr. Priyanga B							Title of the thesis: Design and analysis of an a priori mesh for singularly perturbed problems ; DoJ: 3-September-2015 DoS: 22-November-2018 DoV: 13-May-2019 Current Position: Data Scientist, Blue Power Partners (Industry)
Dr. Prithvi M							Title of the thesis: Error estimates of numerical algorithms for singularly perturbed problems with discontinuous data; DoJ: 3-September-2015 DoS: 4-March-2019 DoV: 14-May-2019 Current Position: Asst. Professor, PMIST, Thanjavur
Dr. Narayani G							Title of the thesis: Numerical study of a few special classes of generalized viscous problem; DoJ: 12-September-2016 DoS: 8-October-2021 DoV: 20-April-2022 Current Position: Asst. Professor, Dayananda Sagar University, Bengaluru
Dr. Saswati Sinha							Title of the thesis: On the least primitive root of extended Sophie Germain primes and Legendre primes DoJ: 16-September-2019 DoS: 16-March-2022 DoV: 17-November-2022 Current Position: Asst. Professor, IIIT Bhubaneswar
Dr. Makeshwari M							Title of the thesis: On Generalized Sophie Germain primes, permutations, and primality of primitive roots; DoJ: 29-August-2018 DoS: 25-January-2023 DoV: 23-June-2023 Current Position: Asst. Professor, B.S. Abdur Rahman Crescent Institute of Science & Technology, Chennai
Dr. Gowtham R							Title of the thesis: Some problems in cubic residues and primitive roots (Guide: Prof. Arindama Singh, IIT Madras and Co-guide: V.P. Ramesh, CUTN) ; DoJ: 1-July-2018 DoS: 10-March-2023 DoV: 11-May-2023 Current Position: Senior Engineer, Litmus 7 Systems Consulting Pvt Ltd
Dr. Anitha L							Title of the thesis: Design and Analysis of a Numerical Algorithm based on an a priori layer adaptive G-mesh DoJ: 29-August-2018 DoS: 27-August-2024 DoV: 29-May-2025 Current Position: Asst. Professor, E.G.S. Pillay Engineering college, Nagapattinam.


Ms. Devi S							Title of the thesis: Primality, primitive roots and their applications DoJ: 22-July-2022 DoS: DoV: Current Position: NA
Ms. Parvathy R							Title of the thesis: Some problems on Covering System of Congruences DoJ: 18-August-2023 DoS: DoV: Current Position: NA
Ms. Rosatta Joseph							Title of the thesis: On the prime factors of the product of terms of an Arithmetic Progression DoJ: 18-August-2023 DoS: DoV: Current Position: NA
Mr. S. Sivakumar							Title of the thesis: Primality of integers of the form k.p+ja^i and some related problems DoJ: 09-September-2024 DoS: DoV: Current Position: NA

M.Phil. Thesis Guidance:

Saswati Sinha, Primitive roots in contrast to Semi-Primitive roots modulo n (2019)

Integrated M.Sc. Thesis Guidance: (1 year duration)

Arjun V S, A note on products of consecutive integers, (2025)
Deepika K, AI Diagnosis of Tomato Leaf Diesease via Deep Learning, (2025)
Meenakshi S, Open problems on Normal numbers, (2025)
Shajana M, Image-Based Classification of International Architectural Styles Using Deep Learning, (2025)
Ugendran R, A Note on Generalized Primitive Roots, (2025)
Abirami Sundari Ramalingam, Time series analysis and forecastin on NIFTY 50, (2024)
Akhila K, A study on solutions of the congruence x^4 ≡ a (mod p), (2024)
Vaishnavi C, Covering System of Congruences, (2024)
Aleena Jacob, Image Classification of a 100 Species of Butterflies and Moths Using CNN, (2023)
Anusha B, Tumor detection and 3D modeling with GPU, (2023)
Sooraj Neelakandan, A note on Carmichael Numbers, (2023)
Soumya Ranjan Biswal, Natural Language Processing of Fake tweets using LSTM, (2022)
Kiruthika V, Big data analytics of diaster tweets and dog breed identification, (2022)
Parvathy R, Gauss’s theorem on primitive roots and observations on the primitive roots of 64p+1, (2022)
Rosatta Joseph, Analysis of primitive roots of 2 n p + 1 and permutations n!, (2022)
Harini. C, Semi-primitive roots and Quadratic residues (2021)
P.S. Mary Cinderella, A Study on Quadratic Residues (2021)
S. Devi, A note on Cubic Residues (2021)
YAMITA KUMARI, Multilabel Image Classification of Thoracic lung diseases using Convolutional Neural Network and pre-trained weight (2021)
Keerthana S, Prediction of Saleprice through Linear Regression and other Models (2020)
Lakshmi T, Comparison of Efficiency of Four Key Image Classification Algorithms on Identification of Cactus in Aerial Imagery (2020)
Sivakumar S, p-adic topology and analytic extensions (2020)
Sreelakshmi P, Convolutional Neural Network for Plant Seedlings Classification (2020)
Aarthi T, A few computations in the multiplicative group modulo n (2019)
Ashish Sahoo, Benchmarking Machine Learning Algorithms for Optical Characters Recognition: Which one does it better? (2019)
Anagha N V, Computing the Upper Bound of Phi Function of RSA Cryptosystem (2019)
Anjali Sushil V, Relation Between Orbits and Strongly unequal permutations in S n and its Application in Solving sudoku (2019)
Bharathi K, A Note on S. Sivasankaranarayana Pillai’s Theorem (2019)
Mathew Alex, Pneumonia Detection on Chest X-Rays with Machine Learning (2019)
Rupika T, Hand written digit Recoginition: An Empirical Comparison of Machine Learning Algorithms (2019)
Sivaranjani N, Credit rating of consumers with little financial history - Risk Analysis (2019)
Anjali P V, Stirling Numbers and Transpositions (2018)
Athira S, Sales forecast using the method of Random forest (2018)
Eyamuna N, Machine learning algorithm for image classification to distinguish dogs from cats (2018)
Geethanjali K, Deep learning and image categorization using supervised learning algorithms for Human- Computer interaction (2018)
Kalaivani M, Machine learning algorithm to understand the deforestation of the amazon from space (2018)
Kanimozhi C, Monitoring invasive species by convolutional neural network (2018)
Mageshpriya D, A note on retractable module (2018)
Manna Elza Joseph, Some techniques in image segmentation (2018)
Rajeswari E, Market basket analysis using F1 score maximization (2018)
Aswathi KV, Big data analytics on customer behavior using light GBM model (2018)
Aishwarya R, Big Data Retail Analytics for Demand Planning (Using Artificial Neural Network) (2017)
Favas L, Supervised Machine Learning Using Convolutional Neural Networks for Image Classification (2017)
Jobin Idiculla, A Naive Bayes model for aspect-level sentiment analysis of text data (2017)
Makeshwari M, Zero-sum problems in finite groups (2017)
Preethi S, Talking Data Mobile User Demographics - Big Data Analytics (2017)
Vijitha S, The Multinomial Logistic Regression for Big Data Analytics (2017)
Aarthika, Computational number theory and visualization using open source software R (2016)
Anitha L, Some Identities based on Cantors idea of height of the polynomial - A new concept (2016)
Divya D, Pedagogy of machine learning using artificial neural network (simulating the human brain) (2016)
Gowtham R , Computability and Complexity Analysis of Decision Problems (Charles Babbage - David Hilbert - Alan Turing) (2016)
Preethi S, Artificial Neural Network based big data analytics for Winton Stock Market Challenge (Supervised learning system) (2016)
Vengadesan N, Computational Number Theory and Visualization using Python (2016)
Aarthi D, Computation of American option by Crank-Nicholson Method (2015)
Manjula R, Computation of American Option (2015)
Prithvi M, Sudoku and Directional Change of Lexicographic Permutations: A new theory (2015)
Thatchaayini R, Combinations & Point wise Unequal Permutations with Applications to Sudoku (2015)
Priyadharshini M, Open Source Software for Big Data Analytics : R (2015)
Priyanga B, Regression for Big Data Analytics using R and Python (2015)
Shiva Prakash YV, Health care Big Data Analytics - Predicting Diabetes: A Case Study (2015)
Sowmitha R, Open Source Software for Big Data Analytics : Python (2015)

IASc - INSA - NASI Summer Research Fellows Guidance

Chirag Ajay Jaink - Lightweight Convolutional Neural Network Models for Disaster Damage Assessment of Buildings (2025)
VIT-AP University, Andhra Pradesh
Dadi Nooka Venkata Rithvik - Skin Cancer Classification: Detecting skin lesion types using Dermatoscopic images (2025)
IISER Bhopal
Priyanka Rahul Barde - Image Classification of Indian Bird Species Using CNN (2025)
G H Raisoni College of Engineering and Management, Jalgoan
Sameer Swain - Multilabel Prediction of Heart-Related Conditions from Chest Radiographs Using Deep Learning (2025)
VIT-AP University, Andhra Pradesh
Supratik Kajli - Iterated Arithmetical Functions (2025)
Indian Association for the Cultivation of Science, Kolkata
Ashutosh Mahanta - Minimal covering system of congruences (2024)
South Asian University, New Delhi
Abhinav Venkatraman - Video Summarization using CNN:Endoscopic videos of HyperKvasir (2024)
Amrita Vishwa Vidyapeetham, Coimbatore
Lavisha Sharma - A note on covering system of congruence (2024)
Indian Association for the Cultivation of Science, Kolkata
Aniket Basak - A note around Artin's primitive root conjecture (2022)
Indian Institute of Science Education and Research (IISER), Berhampur
Kushank Maheshwari - COVID-19 Detection Using Chest X-Ray Images (2021)
Birla Institute of Technology and Sciences (BITS), Pilani
Shivam Chaturvedi - COVID-19 Detection Using Chest X-Ray (2021)
Malaviya National Institute of Technology, Jaipur
Sanjana Pradhan - Algebraic View of Linear Algebra and its Applications (2020)
Fr. Conceicao Rodrigues Institute of Technology, Mumbai
Gauri Vishnu - Primitive roots and Sophie Germain Primes (2020)
Amrita School of Engineering, Coimbatore
Aayushi Kundalia, - Big data analytics using Deep Learning Algorithms (2019)
Assam Kaziranga University, Assam
Sooraj Gupta - A few Predictive Machine Learning Algorithms (2019)
Banaras Hindu University, Varanasi
Sahil Unagar - Deep Learning for Large Scale Image Classification Problem (2019)
Sardar Vallabhbhai National Institute of Technology, Surat
Hitha P R - Davenport Constant and Wieferich Primes (2018)
Indian Institute of Science Education & Research, Thiruvananthapuram
Maria Jose K - Normal Order of ω(n) and Ω(n) (2018)
Stella Maris College, Chennai
Rohit Upadhya - Image Classification Using Convolutional Neural Networks (2018)
National Institute of Technology, Silchar
Dr. Kutty Kumar - Intellectual Asset Valuation - Big Data Analytics (2018)
Sri Venkateswara Veterinary University, Proddatur
Abrar Ahmad Image - classification Using Convolutional Neural Network (2017)
National Institute of Technology, Shillong
Anjana Rajagopal - Comparison of different M estimators of Robust regression and Interactive visualization of data using R (2017)
Shrimathi Devkunvar Nanalal Bhatt Vaishnav College for Women, Chennai
Febin John Sam - Deep Network Learning using (SnLU) Smooth non-linear unit and Medical Machine Learning with Tensorflow (2017)
National Institute of Technology, Dimapur

Other Summer Interns

Krishna Raja K - Endoscopy Video Summary (2024)
Thiyagarajar College of Engineering, Madurai (24th June – 23rd December 2024)
Priyadharshini S, - Singular value decomposition (2024)
DST INSPIRE SHE IVR No: 202200064027 (6th May – 29th June 2024)
Panimalar M, - Primary Decomposition Theorem (2024)
DST INSPIRE SHE IVR Number : 202200064020 (6th May – 29th June 2024)
Aynul Enaaya S, - LU Decomposition (2024)
DST INSPIRE SHE IVR No: 202200064060 (6th May – 29th June 2024)
Ayesha Niha M - Projections and Quotient Spaces (2024)
DST INSPIRE SHE IVR No: 202200064049 (6th May – 29th June 2024)

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