About Me

ORCID ID: 0000-0003-1944-2872     Web of Science Researcher ID: ABE-8344-2020

Google Scholar                                                 MathSciNet - Author ID: 728623 (requires login)

I am a Maseeh Professor of Mathematics at Portland State University, working on numerical analysis and scientific computing for partial differential equations and integral equations.  Specific research topics of interest include operator eigenvalue problems, "exotic" discretization schemes, estimation of discretization error, and effective treatment of singular solutions.  I received a PhD in mathematics at the University of California, San Diego, in 2004.  After postdoctoral positions at the Max Planck Institute for Mathematics in the Sciences (Leipzig, Germany) and the California Institute of Technology, and a faculty position at the University of Kentucky,  I joined the faculty at Portland State University in 2013.  My favorite basic linear algebra result is the spectral theorem for normal matrices, and my favorite basic ODE result is that any solution of a first-order (scalar) autonomous equation must be monotone.  

My Erdős number is 4, with at least nine paths having no internal "links" in common: 

1. Erdős --> M. Golomb --> J. Jerome --> R. Bank --> J. Ovall

2. Erdős --> F. Chung --> T. Manteufel --> M. Holst --> J. Ovall

3. Erdős --> V. Faber --> M. Gunzburger --> J. Gopalakrishnan --> J. Ovall

4. Erdős --> D. Grieser --> E.L. Hunsicker --> H. Li --> J. Ovall

5. Erdős --> L.B. Richmond --> B.J. Young --> N. Nigam --> J. Ovall

6. Erdős --> A. Máté --> W. Van Assche --> O.P. Bruno --> J. Ovall

7. Erdős --> C.J. Colbourn --> W.L. Kocay --> R. Szypowski --> J. Ovall

8. Erdős --> N. Alon --> S. Friedland --> A. Międlar --> J. Ovall

9. Erdős --> J. Svante --> P.W. Jones --> S. Steinerberger --> J. Ovall

My mathematical genealogy can be traced back as far as Niccolò Tartaglia (1499-1557):

Niccolò Tartaglia --> Ostilio Ricci --> Galileo Galilei --> Vincenzo Viviani --> Isaac Barrow --> Isaac Newton   --> Roger Cotes --> Robert Smith --> Walter Taylor --> Stephen Whisson --> Thomas Postlethwaite --> Thomas Jones --> Adam Sedgwick --> William Hopkins --> Sir Francis Galton --> Karl Pearson --> Philip Hall --> Garrett Birkhoff --> Donald James Rose --> Randolph Edwin Bank --> Jeffrey S. Ovall