Daniel Perales Anaya

Dr. Daniel Perales Anaya is a Visiting Assistant Professor in the Department of Mathematics at Texas A&M University, affiliated with the College of Arts & Sciences. He completed his Ph.D. in 2022 at the University of Waterloo under the supervision of Alexandru Nica. His research focuses on Finite Free Probability, a field at the intersection of free probability, random matrices, combinatorics, and non-commutative probability. He also investigates infinitesimal freeness, hypergeometric polynomials, and cumulant theory.

He organizes the Free Probability and Operators Seminar at Texas A&M University and maintains an active research profile with contributions to journals like Transactions of the American Mathematical Society and Constructive Approximation. His work bridges classical analysis, operator algebras, and combinatorial structures, often leveraging finite free convolutions and non-crossing partitions.

Publications span topics including infinitesimal distributions, hypergeometric polynomial zeros, and S-transforms in finite free probability. His research has been supported by institutions such as the Simons Foundation and Birkhäuser.