« Back to Department Main Page
Research in Mathematics
The Department of Mathematics at Tulane University is home to a vibrant community of researchers pushing the boundaries of mathematical science. Our faculty engage in dynamic, interdisciplinary work that spans fundamental theoretical advancements and high-impact applications, with world-class strengths in areas like Mathematical and Computational Biology, modern Algebra, Geometry & Number Theory, cutting-edge Analysis, and Probability & Statistics.
Our Research Clusters
To better reflect the diverse and interconnected research activities of our faculty, we have organized our strengths into four dynamic research clusters. Explore each cluster to learn more about the specific areas of focus and the faculty driving innovation. You can dive deeper into the specific research interests and publications of our dedicated faculty members by checking out the Faculty Directory.
Mathematical & Computational Biology
Developing and applying mathematical models, computational simulations, and statistical methods to understand complex biological systems.
Algebra, Geometry & Number Theory
Studying fundamental algebraic, geometric, and arithmetic structures, including their interactions and applications.
Analysis & Differential Equations
Rigorous study of differential equations and dynamical systems, including nonlinear and stochastic PDEs, and integrable systems.
Probability and Statistics
Theory and application of probability, stochastic processes, and advanced statistical methods, including high-dimensional data analysis.
Interdisciplinary Work
Our faculty's expertise often bridges multiple mathematical disciplines and extends into critical applied fields. These cross-cutting themes demonstrate the broad impact of our research:
Mathematics in Health & Biological Sciences
From modeling cancer progression and immune responses to simulating biological fluid dynamics and understanding population movement, our mathematicians are at the forefront of biological and medical research. Faculty in our Mathematical & Computational Biology and Probability and Statistics clusters collaborate extensively, often with partners at the Tulane Cancer Center and the Center for Computational Science, to address pressing health challenges.
Data, Decisions & Society
In an increasingly data-driven world, our researchers are developing the mathematical foundations for statistical learning, high-dimensional data analysis, and predictive modeling. Contributions from our Probability and Statistics, Analysis & Differential Equations, and Algebra, Geometry & Number Theory clusters provide both the theoretical rigor and practical tools for understanding complex data and informing critical decisions across various societal domains.
