Team

The COMP-M team is made of faculty, postdoctoral fellows, graduate students and undergraduates from the Department of Computational Applied Mathematics and Operations Research:

Beatrice Riviere

Noah G. Harding Chair and Professor
Dr. Riviere
is a Noah Harding Chair and Professor in the Department of Computational and Applied Mathematics and Operations Research and a member of the Ken Kennedy Institute at Rice University. She has worked extensively on the formulation and analysis of numerical methods applied to problems in porous media and in fluid mechanics. She is the author of more than one hundred scientific publications in numerical analysis and scientific computation. Her book on the theory and implementation of discontinuous Galerkin methods is highly cited. Her current research deals with the development of high-order methods in time and in space for multiphase multicomponent flows (in rigid and deformable media); the modeling of pore scale flows for immiscible and miscible components; the numerical model of chemical species transport in networks of blood vessels; the development of PDE-based neural networks for image segmentation and the design of reliable numerics-informed neural networks-based algorithm for scientific machine learning. Dr. Riviere’s research group, COMP-M, has been funded by the National Science Foundation, the oil and gas industry and the Gulf Coast Consortia for the Quantitative Biomedical Sciences.

Dr. Riviere is a SIAM Fellow (Class of 2021). She has been actively involved with SIAM for several decades. She currently serves as a member of SIAM Board of Trustees. She was elected President of the SIAM TX-LA Section from 2020 to 2022 and Chair of the SIAM Activity Group on Geosciences from 2019 to 2020. Dr. Riviere is an AWM Fellow (Class of 2022) and an IACM Fellow (2024). She has served on the editorial boards of SIAM Journal on Scientific Computing, SIAM Journal on Numerical Analysis, Results in Applied Mathematics and Advances in Water Resources. To date, she has graduated a total of twenty Ph.D. students, with eleven working in academia, seven in industry and one in national lab.

Dr. Riviere is the PI of the Research Training Group in Numerical Mathematics and Scientific Computing (2023-2028).

 

Alyssa Taylor-LaPole

Postdoctoral Fellow
Dr. Taylor-LaPole received his Ph.D. in 2024 in Biomathematics at North Carolina State University. Her research interests are in modeling of cardiovascular phenomena and in sensitivity analysis.

Students are listed in reverse alphabetical order.

Arshia Singhal

Ph.D. graduate student
Arshia’s research interests are in numerical analysis and computational biology

Uzochi Gideon

Ph.D. graduate student
Uzochi’s research interests are in numerical analysis and scientific machine learning.

George Chumbipuma

Ph.D. graduate student
George’s research interests are in numerical analysis and scientific computing.

Adrian Celaya

Ph.D. graduate student
Adrian’s research interests are in machine learning, image segmentation and scientific machine learning.

Cito Balsells

Ph.D. graduate student
Cito’s research interests are in machine learning and image segmentation.

Jerry Villalobos

Ph.D. graduate student

Mani Puram

Undergraduate student

Pierce Zhang

Undergraduate student

Zack Donovan

Undergraduate student

Mike Zhang

Undergraduate student

Freya Yao

Undergraduate student