Breadcrumb
Achievements
Publications and achievements submitted by our faculty, staff, and students.
Cheyenne Ty, Amanda Case, Emmanule Mezzulo, Abigail Penland (students) and Kamila Larripa (faculty)
Mathematics
Cheyenne Ty, Amanda Case, Emmanuel Mezzulo, Abigail Penland, and Kamila Larripa had their paper accepted for publication in the Spora: A Journal of Biomathematics. The paper is called "An Agent-Based Model of Microglia and Neuron Interaction: Implications in Neurodegenerative Disease" and explores the role of a type of immune cell in the brain through modeling.
Chris Dugaw
Mathematics
Professor Chris Dugaw updated and published a new edition of the text Laboratories in Mathematical Experimentation: A Bridge to Higher Mathematics, which is used in Cal Poly Humboldt's Mathematical Experimentation and Proof course. This text is composed of a set of sixteen laboratory investigations which allow the student to explore rich and diverse ideas and concepts in mathematics. With the help and support of the original authors at Mt Holyoke and colleagues at University of Texas, El Paso he modernized it to use contemporary computer software. The text is freely available from The Press at Cal Poly Humboldt here.
Tyler Evans, Alice Fialowski and Yong Yang
Mathematics
Dr. Tyler Evans has published a new paper in collaboration with Professor Alice Fialowski (Eötvös Loránd University, Hungary) and her (former) Ph.D. student Professor Yong Yang (Xinjiang University, China). The paper, titled 'On the Cohomology of Restricted Heisenberg Lie Algebras,' appeared in Linear Algebra and its Applications in July, 2024. The authors classify all possible restricted Lie algebra structures on modular Heisenberg Lie algebras and explicitly describe the 1- and 2-restricted cohomology spaces. The full text of the article is available at no cost until September 3, 2024 at https://authors.elsevier.com/c/1jQ~85YnCtZG1.
Peter Goetz
Mathematics
Dr. Peter Goetz gave an invited talk titled "Frobenius Extensions in Noncommutative Invariant Theory" in the AMS Special Session on Homological Techniques in Noncommutative Algebra at the Joint Mathematics Meeting on January 3, 2024. The JMM is one of the largest international meetings of mathematicians with approximately 6000 attendees. Dr. Goetz reported on his new theorem: all dual reflection groups afford examples of (twisted) Frobenius extensions. Dr. Goetz also presented his work on the relationship between Artin-Schelter regular and Artin-Schelter Gorenstein algebras and Frobenius extensions, and examples of Frobenius extensions arising from noncommutative and noncocommutative Hopf algebra actions.
Kamila Larripa
Mathematics
Kamila Larripa was selected to participate in the Simons Laufer Mathematical Sciences Institute's Summer Research in Mathematics Program. She will work with collaborators on developing data-driven modeling approaches to investigate the impact of human behavior on epidemic dynamics for outbreaks such as the COVID-19 pandemic.
Kamila Larripa
Mathematics
Kamila Larripa and collaborators published an article in the Journal of Theoretical Biology entitled Macrophage phenotype transitions in a stochastic gene-regulatory network model. The study classifies cell phenotypes using a spectral clustering algorithm and quantifies transitions between phenotypes using transition path theory.
Kamila Larripa
Mathematics
Kamila Larripa was selected to participate in the Institute for Pure and Applied Mathematics collaborative research workshop in data science. She worked on tensor decomposition methods for machine learning.
Kamila Larripa, Bori Mazzag
Mathematics
Kamila Larripa and Bori Mazzag received a California Learning Lab grant to build critical mass in data science at Cal Poly Humboldt. Project team members include Enoch Hale, Rosanna Overholser and Angela Rich. The grant activities coincide with the launch of a data science major in Fall 2023, and will help move data science into the larger campus community.
Kamila Larripa
Mathematics
Kamila Larripa has been awarded a 3 year National Science Foundation Division of Mathematical Sciences grant for $307,661 to study immune cell activation using multi-scale mathematical models. The project includes collaborating biologists at other institutions and will incorporate and train undergraduate students in interdisciplinary research techniques.
Dr Peter Goetz
Mathematics
Will give a talk titled "Frobenius extensions, Artin-Schelter regular algebras and Azumaya loci" at the Spring Western Sectional Meeting of the American Mathematical Society at CSU, Fresno on Sunday, May 7, 2023. The Azumaya locus of a polynomial identity algebra is an algebraic variety that parametrizes the irreducible modules of maximal dimension. Typically the Azumaya locus is very hard to determine. Dr. Goetz will describe results from his current research project on using Frobenius extensions to compute Azumaya loci.