Reetha Thomas
Indian Institute of Information Technology Kottayam, Indian Institute of Management Bangalore, St. George College Aruvithura
0000-0002-5231-5632
About
I am currently an Assistant Professor at the Indian Institute of Information Technology Kottayam (IIITK), and I have completed my postdoctoral research at the Indian Institute of Management Bangalore (IIMB), specializing in climate modeling. My research expertise lies in nonlinear partial differential equations, with a strong focus on dynamical systems governed by fractional differential and differential-difference equations. I have made significant contributions to the study of time-space fractional partial differential equations, extending key analytical techniques such as Lie Symmetry Analysis and the Invariant Subspace Method.
Recently, I have incorporated machine learning into my research, working with Physics-Informed Neural Networks (PINNs) and Graph Neural Networks (GNNs). This fusion of deep learning and mathematical modeling is improving the predictive power of solutions to nonlinear differential equations. Alongside this, I have explored fuzzy differential equations and developed mathematical models for SIRS epidemiological systems. These interdisciplinary efforts have helped bridge theory and application in areas like health.
My academic journey began with a B.Sc. in Mathematics from Mahatma Gandhi University, Kottayam (2014), followed by an M.Sc. in Mathematics from the same university (2016). I then pursued an M.Phil. in Mathematics at Bharathiar University (2019), where I developed fuzzy domain models for glucose-insulin regulation. I completed my Ph.D. in Mathematics from the Indian Institute of Information Technology Kottayam (2024), under the supervision of Dr. T. Bakkyaraj. My doctoral work focused on invariant analysis and exact solutions for nonlinear fractional PDEs and differential-difference equations. Now, I am currently working as a Postdoctoral Fellow on the project titled 'Hybrid-AI Quantile Regression: Combining Nonparametric Statistical Methods and Physics-Informed Neural Networks for Analysing Spatio-temporal Climate Data,' jointly supervised by Prof. Soudeep Deb (IIM Bangalore) and Prof. Itai Dattner (University of Haifa).
Employment
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Indian Institute of Information Technology Kottayam Assistant Professor2025 - Present
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Indian Institute of Management Bangalore Post Doctoral Fellow2024 - 2025
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St. George College Aruvithura Assistant Professor2019 - 2020
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St. George College Aruvithura Assistant Professor2017 - 2017
Education
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Indian Institute of Management Bangalore Post Doctoral Fellow2024 - Present
Projects & Funding
Projects & funding information is unavailable.
Publications (11)
- Infinitesimal prolongations for mixed $$\varvec{\Psi }$$-Hilfer operators and applications Save
- Exact Solutions of Time-Space Fractional Differential Equations using Invariant Subspace Method Save
- Lie symmetry analysis of time fractional nonlinear partial differential equations in Hilfer sense Save
- Exact solution of time-fractional differential-difference equations: invariant subspace, partially invariant subspace, generalized separation of variables Save
- A comparative study of Lie symmetry analysis and invariant subspace methods to fractional Hunter-Saxton equation Save
- AN APPROXIMATE MATHEMATICAL SOLUTION FOR GLUCOSE INSULIN REGULATORY SYSTEM USING HOMOTOPY PERTURBATION METHOD Save
- Invariant subspaces and exact solutions: $$(1+1)$$ and $$(2+1)$$-dimensional generalized time-fractional thin-film equations Save
- Lie symmetry analysis and exact solution of $$(2+1)$$-dimensional nonlinear time-fractional differential-difference equations Save
- Modeling and analysis of SEIRS epidemic models using homotopy perturbation method: A special outlook to 2019-nCoV in India Save
- Fractional Vasicek Model in Financial Mathematics Save