Ajay Murali
Email • MsC in Computational and Applied Mathematics, FAU
PDEs, Optimization, Numerics
PhD Student
Supervisor: Giovanni Fantuzzi
Room 03.311 | FAU DCN-AvH, Chair for Dynamics, Control, Machine Learning and Numerics – Alexander von Humboldt Professorship
Friedrich-Alexander-Universität Erlangen-Nürnberg
Naturwissenschaftliche Fakultät. Department Mathematik
I am a PhD student at FAU DCN-AvH, the Chair for Dynamics, Control, Machine Learning and Numerics – Alexander von Humboldt Professorship under the supervision of Prof. Giovanni Fantuzzi at Friedrich-Alexander-Universität Erlangen-Nürnberg, Bavaria (Germany).
The PhD is about applying polynomial optimization techniques to PDEs and network dynamics to solve them efficiently.
I completed my Bachelors in Mathematics at Ramakrishna Mission Vivekananda College in Chennai, Tamil Nadu, India. Before joining the team, I received my Masters degree from FAU in Computational and Applied Mathematics and wrote my master thesis on “Sums-of-squares Polyconvexity”, supervised by Prof. Giovanni Fantuzzi, which involved defining a Sums-of-Squares strengthening to polyconvexity to make verifying polyconvexity a tractable problem.
My research interest lies in PDEs, Optimization and Numerics.
• Master Thesis: Sums-of-squares Polyconvexity (September 2025)
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Research interests
My research interests include
• PDEs,
• Optimization,
• Numerics
Projects





