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Trilok Mathur

Associate Professor, Department of Mathematics,
BITS Pilani, Pilani Campus

Complex Analysis, Data Envelopment Analysis, Fractional Calculus, Fractional Differential Equations, Geometric Function Theory, Image processing & AI applications, Mathematical modelling, Multi criteria Decision Making Techniques
Department of Mathematics, Birla Institute of Technology & Science, Pilani- 333031, Rajasthan. India.

Courses in Current Semester (I-Sem, 2024-25)

  1. Mathematics-1 (MATH F111)
  2. Mathematics-3 (MATH F211)

Courses Taught Earlier

CDC:

  1. Introduction to Topology
  2. Measure and Integration
  3. Numerical Analysis
  4. Discrete Structure for Computer Science
  5. Graphs and Networks

Foundational Courses:

  1. Mathematics-1 (Calculus)
  2. Mathematics-2 (Linear Algebra and Complex Analysis)
  3. Mathematics-3 (Differential Equations)
  4. Probability and Statistics

Discipline Electives:

  1. Discrete Mathematical Structures

Other:

  1. General Mathematics-2 (Foundational Course for B.Farm Students)

First Degree Thesis

  1. "Applications of RNN in Portfolio Construction" submitted by Nikita Singh (2016B4A70509P) in I Semester, 2020-21.
  2. "Applications of Fractional Calculus in Neural Networks" submitted by Bhavesh Navandar (2014B4A10648P) in II Semester, 2019-20. 
  3. Co-supervised "2D Shape Registration and Comparison in Image Analysis" submitted by Vighnesh Hegade (2015B4A70342P) in I Semester, 2019-20. (Supervisor: Dr. Martin Herman, Senior advisor for forensics and IT, National Institute of Standards and Technology, U.S. Department of Commerce)
  4. Co-supervised "Application of discrete mathematics to develop methods for footwear impression comparison" submitted by Akul Sareen (2013B4A7743P) in II Semester, 2017-18. (Supervisor: Dr. Martin Herman, Senior advisor for forensics and IT, National Institute of Standards and Technology, U.S. Department of Commerce)
  5. Co-supervised "Finding {pp} - equivelar maps on small number of vertices" submitted by Shubham Sharma(2013B4A8703P) in II Semester, 2017-18. (Supervisor: Prof. Basudeb Datta, Department of Mathematics, Indian Institute of Science, Bangalore)
  6. "Application of Fractional Calculus in PID Controllers" submitted by Mr Mohit Saluja (2012B4A3642P) in I Semester 2016-17.
  7. "Application of Fractional Calculus to Rainfall-Sreamflow Modelling" submitted by Ms Vasundhara Sharma (2010B4A2719P) in I Semester 2014-15.
  8. "Univalent functions in the dynamics of viscous flows with the discussion of Hele-Shaw problem"; submitted by Mr Kaustubh Sakhalkar (2009B4A4695P) in I Semester 2013-14.
  9. Co-supervised  "SHG’s – A tool to empower women in India"; submitted by Ms Manisha Rana (2009B4A7596P) in I Semester 2013-14. (Supervisor Dr Pushplata)
  10. "Supply Chain Risk Assessment using Fuzzy Logic"; submitted by Mr Vinay Dwivedi (2007B4A8700P) in II Semester 2011-12.

Study Projects

  1. "Pose Estimation with CNNs: Exploring Omnidirectional Images" submitted by Rachit Gandhi (2020B4A81440P) in I semester 2023-24.
  2. "Finding the Fractional Order for Predicting the Air Quality Index using Fractional Gradient-based Neural Networks" submitted by Divyanshu Singh (2020B4A3647P) in I semester 2023-24.
  3. "Supply Chain Implementation Framework" submitted by Uday Mittal (2019B4A70662P) in I semester 2022-23.
  4. "Study of an Integrated DEA Model with AI" submitted by Deepankar Bansal (2021B4A71070P) in I semester 2022-23.
  5. "Fractional Ordered Neural Networks in Stock Market Analysis" submitted by Nanavaty Akash Anish (2021B4A72322P) and Sahil Mehta (2021B4A71078P) in I semester 2022-23.
  6. "Predicting levels of different gases in the atmosphere to improve Air Quality Index using Fractional Gradient-based Neural Networks of different cities" submitted by Divyanshu Singh (2020B4A3647P) in II semester 2021-22. 
  7. "Study on Fractional Calculus Based Neural Networks" submitted by Ayush Kumar (2019B4TS1266P) in I semester 2021-22.
  8. "Discrete Fractional Calculus" submitted by Vighnesh Hegade (2015B4A70342P) in I Semester 2018-19.
  9. "A Study of DEA with Neural Networks" submitted by Arjun Gupta (2014B4A30754P) in II Semester 2017-18.
  10. "Geometric Methods for Digital Image Processing" submitted by Sahil Singhal (2014B4A40555P) in I Semester 2017-18.
  11. "Topological Data Analysis" submitted by Akul Sareen (2013B4A7743P) and Shubham Sharma(2013B4A8703P) in I Semester 2016-17. 
  12. "Introduction To Analytical Number Theory" submitted by Ananya Banerjee (2013B4TS958P) in II Semester 2015-16.
  13. "A Study of Subordination Properties of Univalent Functions" submitted by Ilashree (2012B4A7138P) in I Semester 2015-16. 
  14. "Fractional Calculus" submitted by Himanshu Garg (2012B4TS698P) in I Semester 2015-16. 
  15. "Study of Fractional Taylor Series" submitted by Shubhangi Sikaria (2012B4TS984P) in II Semester 2014-15. 
  16. "Study of univalent function theory" submitted by Aniruddha Ghosh (2011B4A4199P) in I Semester 2014-15. 
  17. "Study of Graph Algorithms"; submitted by Pranjal Jain (2010B2A4799P) and Rahul Chandnani (2010B3A4617P) in II semester 2013-14.
  18. "Study of advanced topic in Graph Theory"; submitted by Shobhit Trehan (2010B2A7757P) and Vipul Aggarwal (2010B4A3500P) in II semester 2013-14.
  19. "Labelled Graph and their application in online social networks"; submitted by Ankit Maharia (2010B4A7723P) and Aayush Agarwal (2010B4A7710P) in II semester 2013-14.
  20. "Study of everywhere continuous but nowhere differentiable functions using fractional calculus"; submitted by Vasundhara Sharma (2010B4A2719P) in II semester 2012-13.
  21. "Applications of Topology in Engineering"; submitted by Aatman Vora (2009B4A4572P) and Udbhav Prasad (2009B4A7523P) in II Semester 2011-12.
  22. "Application of Fractional Calculus in the study of Fractal Functions"; submitted by Harsh Chhatwani (2009B4A7619P) and P. Ravi Teja (2009B4A7645P) in II Semester 2011-12.
  23. "A study of some Generalized Star-like and Convex Functions"; submitted by Vinay Kumar B.R. (2009B4A3371P) and Kaustubh Sakhalkar (2009B4A4695P) in II Semester 2011-12.
  24. "Study of Fractals using Fractional Calculus"; submitted by Sarthak Das (2006B4A7549P) and Rakul Viswanath (2006B4A8450P) in II Semester 2009-10.