Sciences and Exploration Directorate

Nat Mathews

(NASA Postdoctoral Program Fellow)

Nat Mathews's Contact Card & Information.
Email: n.h.mathews@nasa.gov
Org Code: 671
Address:
NASA/GSFC
Mail Code 671
Greenbelt, MD 20771
Employer: NPP POST-DOC CONTRACT

Brief Bio


Nat has a phd in applied mathematics from University of Colorado Boulder, where they did research in collaboration with the National Center for Atmospheric Research High Altitude Observatory. Now they are a postdoctoral fellow at Goddard working on machine learning methods to model the coronal magnetic field.

Research Interests


Computational Mathematics


Current Projects


Data-Optimized Coronal Field Model

Remote Sensing

An inversion framework by which the full magnetic field in an active region of the sun may be ascertained


Coronal Physics-Informed Neural Net

Theory & Modeling

Training a machine learning model on MHS coronal simulations

Positions/Employment


Postdoctoral Fellow

NASA - Goddard Space Flight Center

January 2022 - Present

Teaching Experience


2015-2021, University of Colorado Boulder

Laboratory Instructor: Calculus 3, Differential Equations

Teaching Assistant: Calculus 2, Calculus 3, Differential Equations

2013-2014, Rochester Institute of Technology

Teaching Assistant: Calculus 2, Linear Algebra

Education


2021, PhD: Applied Mathematics, University of Colorado Boulder

Advisor: Natasha Flyer. Dissertation: Computational Modeling for 3D Data Reconstruction of Solar Coronal Magnetic Fields

2015, BS: Computational Mathematics, Rochester Institute of Technology

Magna cum Laude, Astronomy minor.

Awards


2021, NASA Postdoctoral Program Fellowship, NASA Goddard Space Flight Center

2018, Newkirk Fellowship, National Center for Atmospheric Research High Altitude Observatory

2014, Summer Undergraduate Research Fellowship, Rochester Institute of Technology

2011, National Merit Scholarship

Publications


Refereed

2022. "Solving 3D magnetohydrostatics with RBF-FD: Applications to the solar corona." Journal of Computational Physics 462 111214 [10.1016/j.jcp.2022.111214] [Journal Article/Letter]

2020. "Reconstructing the Coronal Magnetic Field: The Role of Cross-field Currents in Solution Uniqueness." The Astrophysical Journal 898 (1): 70 [10.3847/1538-4357/ab9dfd] [Journal Article/Letter]

2019. "Data-optimized Coronal Field Model. I. Proof of Concept." The Astrophysical Journal 877 (2): 111 [10.3847/1538-4357/ab1907] [Journal Article/Letter]

Talks, Presentations and Posters


Invited

Machine Learning as an Emulation Tool for Inverse Problems in Space Weather

February 19, 2023

American Meteorological Society


Computational Modeling for 3D Data Reconstruction of Solar Coronal Magnetic Fields

February 26, 2022

High Altitude Observatory Colloquium


Reconstructing the Coronal Magnetic Field: The Role of Cross-Field Currents in Solution Uniqueness

February 14, 2021

Boulder Space Weather and Machine Intelligence seminar


Other

Emulating Coronal Magnetic Fields with Physics-Informed Neural Networks

11, 2022

American Geophysical Union


A 3D Mesh-Free Solver for Magnetohydrostatic Simulations in the Corona

September 8, 2022

Triennial Earth-Sun Summit


Emulating Magnetohydrostatic Models with Physics-Informed Neural Nets

September 7, 2022

Triennial Earth-Sun Summit


Emulating Coronal Fields with Physics-Informed Neural Nets

July 28, 2022

SHINE


A 3D Mesh-Free Solver for Magnetohydrostatic Simulations in the Corona

13, 2021


New Capabilities for Adaptive Mesh Simulation Use Within FORWARD

14, 2016

American Geophysical Union