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 the author of more than one hundred scientific publications in numerical analysis and scientific computing.  Her book on the theory and implementation of discontinuous Galerkin methods published by SIAM, is highly cited. Dr. Riviere has worked extensively of the derivation of numerical methods applied to problems in porous media and in computational fluid dynamics. 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 transport of oxygen and carbon dioxide in a network of blood vessels; the theoretical analysis of neural networks for image segmentation of biological tissues and the design of iterative solvers.

Dr. Riviere is a SIAM Fellow and an AWM Fellow. She has been engaged with various activities with SIAM; she was elected President of the SIAM TX-LA Section for 2020-2022 and was elected Chair of the SIAM activity group in Geosciences for 2019 and 2020. She is also a member of AWM and USACM and is actively involved with both societies.
Dr. Riviere is a current member of the editorial board of SIAM Journal on Scientific Computing, Advances in Water Resources, Results in Applied Mathematics and a former member of the editorial board of SIAM Journal on Numerical Analysis.

Keegan Kirk

Postdoctoral Fellow
Dr. Kirk received his Ph.D. in 2022 in the department of Applied Mathematics from the University of Waterloo. His research interests are in numerical analysis of partial differential equations arising from fluid and solid mechanics.

Students are listed in reverse alphabetical order.

Bilyana Tzolova

Ph.D. graduate student
Bilyana’s research interests are in image segmentation, deep learning, and modeling of flow and transport in organ and vasculature.

Arshia Singhal

Ph.D. graduate student
Arshia’s research interests are in numerical models of biological processes

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.