Dr. Arshak Petrosyan is a Professor of Mathematics and Associate Department Head at Purdue University. He holds a PhD from the Royal Institute of Technology (KTH), Sweden, under the supervision of Henrik Shahgholian. His research focuses on free boundary problems, partial differential equations (PDEs), and their applications in combustion and finance. Key areas include regularity theory for elliptic and parabolic PDEs, obstacle problems, and fractional Laplacian operators. Petrosyan has held positions at Purdue since 2003, progressing from Assistant to Professor, and mentored several PhD students and postdoctoral researchers. His educational background includes a Diploma from Yerevan State University (1997) and postdoctoral work at the University of Texas at Austin under Luis Caffarelli. Petrosyan’s work spans theoretical advancements in PDE analysis, with contributions to geometric and energetic criteria for free boundary regularity. He has co-authored influential papers on topics like the Signorini problem, fractional obstacle problems, and combustion models. Advising and collaborations include co-advising PhD students like Mariana Smit Vega Garcia and Wenhui Shi, as well as postdoctoral researcher Tung To. His research trends emphasize free boundary regularity, fractional calculus, and applications in applied mathematics. Despite no explicit mention of scientific awards, his extensive publication record reflects significant scholarly contributions.








