This is an edited review of my scholarship, as of Spring 2014.
I started working at Drake University in August 2009. Coming out of my postdoctoral position at Iowa State University in May 2009, I was active in the combinatorial matrix theory community. With the UTMOST grant award in 2010, a $525,000 4-year NSF grant to promote open-source software and open-source textbooks, I have shifted a lot my attention recently to open-source mathematics and scientific software, such as Sage.
In reverse chronological order, here are my papers in combinatorial matrix theory. As a general rule, I prefer to submit to open-access journals.
|Steve Butler, Jason Grout, and Tracy Hall, Using variants of zero forcing to bound the inertia set of a graph, 12 pages. Submitted.||Preprint Arxiv|
|Luz M. DeAlba, Jason Grout, In-Jae Kim, Steve Kirkland, Judith J. McDonald, and Amy Yielding, Minimum rank of powers of trees, Electron. J. Linear Algebra 23 (2012), 151–163||Paper Journal|
|Steve Butler and Jason Grout, A construction of cospectral graphs for the normalized Laplacian, Electron. J. Combin. 18 (2011), no. 1, Research Paper 231, 20||Paper Journal|
|Jason Grout, The minimum rank problem over finite fields, Electron. J. Linear Algebra 20 (2010), 691–716||Paper Journal|
|Laura DeLoss, Jason Grout, Leslie Hogben, Tracy McKay, Jason Smith, and Geoff Tims, Techniques for determining the minimum rank of a small graph, Linear Algebra Appl. 432 (2010), no. 11, 2995–3001||Preprint|
|IMA-ISU research group on minimum rank, Minimum rank of skew-symmetric matrices described by a graph, IMA-ISU research group members: Mary Allison, Elizabeth Bodine, Luz Maria DeAlba, Joyati Debnath, Laura DeLoss, Colin Garnett, Jason Grout, Leslie Hogben, Bokhee Im, Hana Kim, Reshmi Nair, Olga Pryporova, Kendrick Savage, Bryan Shader and Amy Wangsness Wehe, Linear Algebra Appl. 432 (2010), no. 10, 2457–2472.||Preprint|
|Started working at Drake in August 2009; the following three papers were published before starting at Drake|
|Luz M. DeAlba, Jason Grout, Leslie Hogben, Rana Mikkelson, and Kaela Rasmussen, Universally optimal matrices and field independence of the minimum rank of a graph, Electron. J. Linear Algebra 18 (2009), 403–419||Paper Journal|
|Wayne Barrett, Jason Grout, and Raphael Loewy, The minimum rank problem over the finite field of order 2: minimum rank 3, Linear Algebra Appl. 430 (2009), no. 4, 890–923||Preprint Arxiv|
|D. Cvetkovic and J. Grout, Graphs with extremal energy should have a small number of distinct eigenvalues, Bull. Cl. Sci. Math. Nat. Sci. Math. 32 (2007), 43–57||Preprint Arxiv|
|Robert Beezer, Robert Bradshaw, Jason Grout, and William Stein, Sage, Handbook of linear algebra, Second edition (Leslie Hogben, ed.), Discrete Mathematics and its Applications (Boca Raton), Chapman & Hall/CRC, Boca Raton, FL, (2013), 26 pages.||Chapter, html version|
|Jason Grout, The Sage Mathematical Software System, International Linear Algebra Society Bulletin: IMAGE (Fall 2013), pp. 31–33.||Article (Full bulletin)|
|David Holcomb, Eric D. Manley, Jason Grout, and Alex Hoyer, On the Integral Coding Advantage in Unit Combination Networks, 13 pages. In preparation.||Preprint|
Many of the links below lead to Github, an online repository for open-source software. My username on Github is jasongrout, which might be helpful if you are clicking on a link below and see lots of usernames.
I have been a very active participant in the open-source mathematical software world, particularly with Sage, for over 7 years. Since I started at Drake (August 2009), I have contributed to code reviews and contributions 2,837 times on 834 separate “issues” across 43 areas of Sage, including graph theory, linear algebra, graphics, online interfaces, scientific computing packages, and many more. I also have contributed 160 peer-reviewed code contributions myself (involving adding/deleting/changing over 55,000 lines of code and documentation). This puts me in the top 15 contributors to Sage over the last 5 years out of around 700 total contributors.
In addition to working on the core Sage library, I have also worked on the following peer-reviewed projects over the last 5 years:
* Sage Cell Server, another online interface to Sage allowing anyone to easily embed live Sage computations into any webpage: 1201 code contributions adding/deleting/changing 137,441 lines. I am the lead developer and mentored 6 undergraduate Drake students who wrote and reviewed code. I also maintain the public sage cell server at https://sagecell.sagemath.org, which serves around 2,000 computations each day requested from all over the world. The cell server is used in a number of online resources, including textbooks, notes, online homework systems, and more. (Edit: As of May 2014, Andrey Novoseltsev maintains and leads development for the Sage Cell Server)
* Minimum Rank Library, a library for calculating the minimum rank, zero forcing numbers, and other related parameters on graphs: 58 code contributions adding/deleting/changing 4715 lines. I was the lead developer and also mentored several graduate students from Iowa State University who developed part of the library. This library is used by active researchers in exploring minimum rank problems.
I've labeled presentations with one of the following areas:
I have also listed when I was a funded participant of a workshop, i.e., the workshop paid for my travel and/or local expenses.
* Other conferences/workshops I participated in:
In June 2014, I went on academic leave of absence and worked with the quantitative finance research group at Bloomberg L.P. in New York to build software useful in quantitative finance. At the conclusion of the 2014-2015 academic year, I left Drake University to continue working at Bloomberg.
Here is a very incomplete list of articles and other things since 2014.