Jürgen Kritschgau
mathematician
mathematician
I was post-doctoral scholar at Portland State University in the RTG for Computation and Data Enabled Science.
Before moving to Portland, I was a postdoctoral associate at Carnegie Mellon University between Fall 2021 and Fall 2023. I graduated from the Mathematics Ph.D. program at Iowa State University in 2021. My Ph.D. advisor was Michael Young.
Currently, I am keeping an eye out for industry jobs in the Portland area or remote work that would keep me in the Pacific Northwest. Please reach out to me via LinkedIn here.
I have three main research interests: extremal graph theory, anti-Ramsey theory, and zero forcing. Click here to see my publications. I am always looking for new projects and collaborators!
Some projects I am working/thinking about are:
Hypergraph clustering using information theory
Algorithms for computing leaky forcing numbers
Using strong properties to make progress for the inverse eigenvalue problem for signed graphs with multi-edges
My teaching experience includes core offerings and service classes: Calculus I-III, Business Calculus, Introduction to Proofs (for a full lists, contact me for my CV). Most recently, I taught Multivariate Analysis (21256) which covers material from linear algebra and calc 3 for social science majors. Last Fall I also taught Algebraic Structures (21373), which is an abstract algebra class for undergraduates. Most recently I taught Applied Linear Algebra (math 343) at Portland State University.
A core tenant of my teaching practice is to iterate on my teaching materials and strategies for sustained improvement throughout my teaching career. To this end, I maintain a "private" github repository for teaching materials (email me if you would like access). One improvement I am focusing on this semester is to make videos of example problems for my Multivariate Analysis class. The production quality could use some work, but you can see an example here.
I have been a mentor in the Summer Undergraduate Applied Math Institute at CMU during the 2018 (under Michael Young), 2022, and 2023 summers. SUAMI was important in my career as I was a participant in 2015, and I am glad I can stay in touch with the program. Here is an article summarizing this summers experience.
I started Redefining Math, a monthly program at the Ames Public Library. The goal of the program is to facilitate positive experiences doing math by examining puzzles and games. To read more about it, see this article on the Iowa State University website.