Projects per year
Personal profile
Biography
Dr Eric Hall is a Baxter Fellow and Lecturer in Applied Mathematics in the School of Science and Engineering at the University of Dundee. Originally from Philadelphia, Eric graduated with a B.A. in Mathematics from the University of Pennsylvania and earned a PhD in Mathematics (Probability and Stochastic Analysis) at the University of Edinburgh. Subsequently, he was a Göran Gustafsson Postdoctoral Fellow in Numerical Analysis at KTH Stockholm, a Visiting Assistant Professor in Applied Math at the University of Massachusetts Amherst, and a Research Scientist in the Chair of Mathematics for Uncertainty Quantification at RWTH Aachen University.
Dr Hall is a Fellow of the Institute of Mathematics and its Applications and sits on the General Committee (Trustee) of the Edinburgh Mathematical Society. He is a member of the Society for Industrial and Applied Mathematics and the American Mathematical Society.
Research interests
Dr Hall's research focuses on mathematical aspects of data science, including predictive modelling, stochastic simulation, and uncertainty quantification for complex systems. A recent interest is the use of applied probability to develop domain-aware surrogate models in scientific machine learning. Applications of interest include multiscale/-physics models in materials science, non-Markovian models in finance and biology, and sparse data problems in subsurface flow in geophysics.
Teaching
Dr Hall teaches the MA22004 Statistics 2 and MA33001 Mathematics Work Placement modules. He also supervises undergraduate mathematics honours projects in statistics, applied probability, and data science, including scientific machine learning.
Expertise related to UN Sustainable Development Goals
In 2015, UN member states agreed to 17 global Sustainable Development Goals (SDGs) to end poverty, protect the planet and ensure prosperity for all. This person’s work contributes towards the following SDG(s):
Education/Academic qualification
Doctor of Philosophy, Accelerated Numerical Schemes for Deterministic and Stochastic Partial Differential Equations of Parabolic Type, University of Edinburgh
Sept 2008 → Jul 2013
Award Date: 1 Jul 2013
Bachelor of Arts, Mathematics (major), Computer and Information Science (minor), University of Pennsylvania
Sept 2004 → May 2008
Award Date: 19 May 2008
Fingerprint
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Network
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Mutual information for explainable deep learning of multiscale systems
Taverniers, S., Hall, E. J., Katsoulakis, M. A. & Tartakovsky, D. M., 1 Nov 2021, In: Journal of Computational Physics. 444, 19 p., 110551.Research output: Contribution to journal › Article › peer-review
Open AccessFile5 Citations (Scopus)29 Downloads (Pure) -
GINNs: Graph-Informed Neural Networks for Multiscale Physics
Hall, E. J., Taverniers, S., Katsoulakis, M. A. & Tartakovsky, D. M., 15 May 2021, In: Journal of Computational Physics. 433, 20 p., 110192.Research output: Contribution to journal › Article › peer-review
Open AccessFile11 Citations (Scopus)75 Downloads (Pure) -
Causality and Bayesian Network PDEs for multiscale representations of porous media
Um, K., Hall, E. J., Katsoulakis, M. A. & Tartakovsky, D. M., 1 Oct 2019, In: Journal of Computational Physics. 394, p. 658-678 21 p.Research output: Contribution to journal › Article › peer-review
10 Citations (Scopus) -
Robust Information Divergences for Model-Form Uncertainty Arising from Sparse Data in Random PDE
Hall, E. J. & Katsoulakis, M. A., 2018, In: SIAM/ASA Journal on Uncertainty Quantification. 6, 4, p. 1364–1394 31 p.Research output: Contribution to journal › Article › peer-review
4 Citations (Scopus) -
Computable Error Estimates for Finite Element Approximations of Elliptic Partial Differential Equations with Rough Stochastic Data
Hall, E. J., Hoel, H., Sandberg, M., Szepessy, A. & Tempone, R., 2016, In: SIAM Journal on Scientific Computing. 38, 6, p. A3773–A3807 35 p.Research output: Contribution to journal › Article › peer-review
3 Citations (Scopus)
Activities
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Institute of Mathematics & its Applications (External organisation)
Eric J Hall (Member)
Nov 2022 → …Activity: Membership types › Membership of group
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Edinburgh Mathematical Society invited lecture
Eric J Hall (Organiser)
11 Nov 2022Activity: Participating in or organising an event types › Other event
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Open Day with Mathematics: Statistics presentation
Eric J Hall (Presenter)
24 Sept 2022Activity: Other activity types › Public engagement and outreach - festival/exhibition
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Graph-informed Neural Networks for Multiscale Physics
Eric J Hall (Invited speaker)
18 May 2022Activity: Talk or presentation types › Invited talk
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BAMC 2022: minisymposium "Decision making under uncertainty"
Eric J Hall (Organiser)
Mar 2022 → Apr 2022Activity: Participating in or organising an event types › Participation in conference