PhD, Mathematics, AG Biomathematik, TU Kaiserslautern, Germany, 2021.
M.Tech, Industrial Mathematics & Scientific Computing, Indian Institute of Technology (IIT) Madras, Chennai, India & RWTH Aachen, Germany, 2016.
M.Sc, Mathematics, IIT Madras, Chennai, India, 2014.
B.Sc, Mathematics, Patna Science College, Patna, India, 2012.
German Academic Exchange Service (DAAD) Doctoral Fellowship 2017-21.
DAAD-IIT Master Sandwich Program Fellowship 2015-16.
Graduate Aptitude Test in Engineering (GATE) Fellowship 2014-15.
Postdoc, Computational Systems Biology group, Laboratory of Pathogens and Host Immunity, University of Montpellier, France & Paris Brain Institute (ICM), Paris, France, 2021-24.
Formulation and simulation of data‑driven mechanistic models (2D and 3D) to replicate the heterogeneity of oxygen distribution and hypoxia profiles in the tumor microenvironment.
Processing and analysis of histopathological and hyperion image data of patient tissue images and xenografts (PDX) obtained from experimental collaborators, and validation of model predictions.
Derivation of high‑dimensional partial differential equation (PDE) models for melanoma and development of neural network‑based numerical methods to solve these PDEs.
Supervision of master’s students.
PhD, Biomathematics group, Department of Mathematics, TUK, Germany, 2017-21.
Modeling and simulation of glioma patterning using a system of ODEs and PDEs, with a focus on multiscale modeling of
pseudopalisades formation and their maintenance or disruption under the influence of a hypoxic tumor microenvironment.
Application and comparison of different upscaling techniques (meso to macro‑scale) in the context of glioma to obtain PDEs of
reaction‑diffusion‑taxis type from kinetic transport equations.
Development and implementation of multiphase models (monoscale) for glioma pseudopalisades.
Utilization of applied analysis techniques: stability analysis, traveling wave solutions, Turing/non‑Turing pattern formation.
Project Associate, Department of Engineering Design, IIT Madras, India, 2016-17.
Tyre data analysis, data inspired modeling to observe tyre life on different locations, driving style, vehicle type.
Development of a MATLAB based GUI to access tyre conditions from real time Kinect images.
Master Thesis, IIT Madras, India & RWTH Aachen, Germany, 2015-16
Study and implementation of mathematical models for solid tumors, their angiogenesis and treatments.
Application of state‑of‑the‑art uncertainty quantification methods to quantify the uncertainty due to input data in the selected tumor models and their comparison.
Computational Skills: C++, Matlab, Python, Mathematica, LaTex.