

A University of Âé¶¹´«Ã½ at Mānoa faculty member has earned international recognition for research that advances understanding in a key area of modern mathematics.

Department Chair and Associate Professor Malik Younsi received the 2026 Frontiers of Science Award from the International Congress of Basic Science (ICBS). The honor recognizes major breakthroughs in mathematics, physics and engineering.
Younsi was recognized for a research paper co-authored with Dimitrios Ntalampekos on conformal maps, a topic in complex analysis that studies how shapes in the plane can be transformed while preserving angles. In simple terms, it looks at how you can stretch or reshape something—such as a map or a piece of rubber—without changing the way angles and corners fit together, similar to how digital maps adjust views while keeping locations accurate.
“Mathematics is often about finding hidden structure in things that seem complicated at first,” Younsi said. “This recognition highlights the value of staying curious and patient, and I hope it encourages students to see that even abstract ideas can lead to meaningful discoveries.”
The 55-page paper, published in Inventiones Mathematicae, looks at when flat shapes can be transformed into ones bounded by circles and points, building on a long-standing question called the Koebe uniformization conjecture. The research helps describe when there is essentially just one possible way to do transformation, giving a clearer understanding of how these shapes work.
The Frontiers of Science Award, launched in 2023, recognizes recent papers with lasting impact after a competitive global review process. Younsi¡¯²õ work was selected by an international panel of experts for its contribution to complex analysis. He will be honored at the 2026 ICBS meeting in Beijing on August 9, where leading scientists from around the world will gather to present and discuss new discoveries.
The Department of Mathematics is housed in UH Mānoa¡¯²õ .
