Daniel Irving Bernstein

Daniel Irving Bernstein is Assistant Professor in Tulane University's Department of Mathematics. His research spans combinatorics, discrete geometry, and algebraic statistics, with particular focus on matroid theory, rigidity theory, and geometric combinatorics. He teaches undergraduate and graduate courses in linear algebra, topology, and geometric combinatorics.

His research explores:

• Combinatorial structures in algebraic statistics
• Geometric rigidity and reconstructibility problems
• Matroid representations and lifts
• Algebraic methods in machine learning

Recent work develops connections between combinatorial geometry and statistical learning theory.

His publications demonstrate:

• Applications of matroid theory to statistical thresholds
• Geometric approaches to matrix completion
• Combinatorial foundations of deep learning
• Tropical geometric methods in phylogenetics

He maintains active collaboration with computational biology and machine learning researchers.