We are thrilled to announce the outstanding achievement of Abhilash Tushir, with his successful defense of his PhD thesis, “Semi-classical Analysis of Partial Differential Equations in Lattices”! 🌟📚

It is a testament to Abhilash’s dedication, perseverance, and intellectual excellence that he has been awarded the PhD title. Under the supervision of Prof. Aparajita Dasgupta from IIT Delhi and Prof. Michael Ruzhansky from the Ghent Analysis & PDE Center, Abhilash navigated the complexities of semi-classical analysis and its applications to partial differential equations, demonstrating exceptional scholarly ability. 🌐🔍

His research delved into:

• The classical wave equation;
• The fractional Klein-Gordon equation;
• The heat equation with fractional Laplacian operator;
• The wave equation with Schrödinger operator;
• The general time-fractional diffusion equation associated with the Schrödinger operator.

This achievement not only marks the culmination of years of intense research but also represents the beginning of new opportunities and potential contributions to the scientific community. 📚🎓

Congratulations, Abhilash! We are excited to see all the great things you will accomplish in your future endeavors and wish you all the best in your continued journey of academic and professional excellence. 🥳🎉🎊