Vishnu Nandakumaran

I am a PhD student in Mathematics at the University of Notre Dame, under the supervision of Prof. Gábor Székelyhidi and Prof. Nicholas Edelen. My research focuses on minimal surfaces and geometric flows. Specifically, I am investigating perturbations of "nice" minimal hypercones by analyzing the minimal surface equation within the Hardt-Simon foliation. This work aims to deepen the understanding of singular minimal cones and the perturbations of minimal cones.

I aspire to delve into geometric analysis and minimal surfaces, employing various methods from geometry and analysis. In the long term, I would also like to explore the practical applications of geometry in real-world contexts. I am also interested in applying my mathematical skills to a wider range of problems. 

My research at Notre Dame has been on studying perturbations of Quadratic cones. In a joint work with Gábor Székelyhidi, we prove the solution to the Plateau problem in a unit ball with boundary near the boundary of a quadratic cone is unique. In a previous work I explicitly constructed what these unique surfaces look like.

CV

Before this I did my BS-MS dual degree in mathematics at Indian Institute of Science Education and Research (IISER), Pune, India.

I am currently in the job market.

Contact

B02, Hayes-Healy Center, Notre Dame, IN

Email: vnandaku@nd.edu, vishnu.nandakumaran@gmail.com