Curriculum Vitae
Education
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PhD, Mathematics, September, 2017Oregon State University
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BA, Physics & Mathematics, May, 2009Willamette University
Professional Experience
Description
I have worked as a cofounder with several partners, establishing consultancies that provide data analytic and data visualization services to municipalities and utilities. We have also executed a number of research grants. I have filled all roles, performing project design, conducting research, and writing technical reports. Our public funders have included DARPA and The Water Research Foundation.
Skills
Project management ◇ Cloud computing (AWS) ◇ Machine learning (ensemble methods) ◇ Backend development ◇ Data visualization (JavaScript, D3) ◇ Technical writing
Description
Working with diverse teams including mathematicians, economists, geographers, and marine biologists, we developed and applied novel analyses to detect the large-scale organizing principles of a number of complex systems. Our understanding of these systems is aided by applying data-driven techniques to detect their macro-scale rules of evolution. We focused as well on early warning signals of regime shifts.
Skills
Research project design ◇ Data collection (API scraping) ◇ Dimension reduction techniques (Diffusion maps, projection methods) ◇ Scientific computing (Python, Matlab) ◇ Academic writing
Description
While earning my doctorate I contributed to the Math Department as a teaching assistant, leading recitations, designing course materials, and providing free assistance to math students in my own and others' courses. As a graduate student I also collaborated with research groups across OSU, contributing to work in pharmacology (studying GRNs), power systems (power grid simulation), and biostatistics (motif counting methods).
Skills
Independent research ◇ Probability theory ◇ Applied mathematics ◇ Interdisciplinary research ◇ Science communication ◇ Network science ◇ Technical writing
Description
Teaching is a love of mine; I was lucky to be hired as a mathematics instructor for a summer and an academic year at Oregon State. Topics ranged from fundamental algebra and geometry to differential equations and linear algebra courses. Outside of the classroom some of my advanced students worked with me briefly on using diffusion coordinates in image analysis.
Skills
Curriculum development ◇ Public speaking ◇ Using technology in the classroom ◇ Mentoring at the tail-ends of the distribution of student skill level
Publications
- Caroline Russel, Thomas Gillogly, Mathew Titus, James Watson. Assessment of Vulnerability of Source Waters to Toxic Cyanobacterial Outbreaks, (2024). Available at the WRF Project page to subscribers. To appear in peer-review.
- Mathew Titus, George Hagstrom, and James R. Watson, Unsupervised manifold learning of collective behavior, PLOS Computational Biology 17(2), (2021). https://doi.org/10.1371/journal.pcbi.1007811.
- Mathew Titus, George Hagstrom, and James Watson. Unreal to real: Current abilities and knowledge gaps for measuring the realism of social simulations, DARPA Next Generation Social Sciences Program, (2021). [pdf]
- Mathew Titus and James R. Watson, Critical speeding up as an early warning signal for stochastic regime shifts, Theoretical Ecology 13, 449–457 (2020). https://doi.org/10.1007/s12080-020-00451-0.
- James R. Watson, Zachary Gelbaum, Mathew Titus, Grant Zoch, and David Wrathall, Identifying multiscale spatio-temporal patterns in human mobility using manifold learning, PeerJ Computer Science, 6:e276 (2020). doi: 10.7717/peerj-cs.276.
- Mathew Titus, Mixing Times for Diffusive Lattice-Based Markov Chains, (2017), PhD Thesis. Available at ScholarsArchive@OSU.
- Zachary Gelbaum and Mathew Titus, Simulation of Fractional Brownian Surfaces via Spectral Synthesis on Manifolds, IEEE Transactions in Image Processing, 23(10), (2014). https://doi.org/10.1109/TIP.2014.2348793.
- Yevgeniy Kovchegov, Peter T. Otto, and Mathew Titus, Mixing Times for the Mean-Field Blume-Capel Model via Aggregate Path Coupling, Journal of Statistical Physics, 144(5) 1009 (2011). https://doi.org/10.1007/s10955-011-0286-8.
- Water Resources Research
- The American Naturalist
- Applied Probability
- Journal of Theoretical Biology
- The R Journal
- IEEE