Research Areas

Yale’s Department of Applied & Computational Mathematics is driven by a commitment to applying mathematical rigor to solve complex, real-world problems. Our faculty's research is not only advancing mathematical theory but also having a profound impact across multiple domains, with applications that extend far beyond traditional boundaries. The work being conducted here is deeply interdisciplinary, influencing fields as varied as medicine, materials science, engineering, and applied physics.

The techniques, algorithms, and methods developed within our department are being leveraged by experts in these diverse fields to address some of today’s most pressing challenges. For example, in medical imaging, our research is enhancing the precision and efficiency of diagnostic tools, while in engineering, it is optimizing complex systems and driving technological advancements. The department's focus on applying mathematical frameworks, developing innovative algorithms to tackle modern challenges in AI, machine learning, and scientific computing further demonstrates the power of applied mathematics as a tool for real-world problem-solving across a wide range of application domains.

Our department’s research is characterized by its practical impact, rigorous mathematical foundations, and its ability to transcend traditional academic silos. By fostering an environment of collaboration, we create new opportunities for discovery and application, solidifying our role as a driving force behind innovation, not only in science and engineering, but also in fields as far-reaching as public health, neuroscience, and computational biology. Yale’s Department of Applied & Computational Mathematics is a collaborative hub where the boundaries between disciplines are fluid, and where the intersection of theory and application leads to groundbreaking advances that resonate across the university and beyond.