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Achievements
Publications and achievements submitted by our faculty, staff, and students.
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.
Tyler Evans, Alice Fialowski
Mathematics
My paper "Central Extensions of Restricted Affine Nilpotent Lie Algebras $n_+A_1^{(1)}(p)$" appeared in the Journal of Lie Theory, 33 (2023), No. 1, 195--215. This paper was written jointly with my colleague Alice Fialowski at Eötvös Loránd Tudományegyetem in Budapest, Hungary during my Spring 2022 sabbatical leave.
Dr. Peter Goetz, Dr. Andrew Conner
Mathematics
Published a paper titled: QUANTUM PROJECTIVE PLANES AS CERTAIN GRADED TWISTED TENSOR PRODUCTS in The Journal of Algebra; https://doi.org/10.1016/j.jalgebra.2022.11.033. The paper is joint with Dr. Andrew Conner at Saint Mary's College of California and will appear in the April 2023 issue. The main results of the paper are: (1) a classification up to algebra isomorphism of quadratic graded twisted tensor products of K[x,y] and K[z], and (2) the determination of which three-dimensional Sklyanin algebras contain a quantum P^1. Sklyanin algebras first arose in the late 20th century in the context of quantum inverse scattering problems in physics.
Liza Boyle, Sonja Manor, Bori Mazzag
Mathematics
Dr. Liza Boyle (Environmental Resources Engineering), Sonja Manor and Dr. Bori Mazzag (Mathematics) presented a workshop entitled "Humboldt Solar Panel Projects". The workshop was held on Feb. 1 in the Mathematical Association of America "Curriculum Renewal Across the First Two Years" workshop series. The workshop showcased course materials developed for Math 109 Calculus I and Math 101T Trigonometry that connect mathematical content to solar energy production. Projects explore local data and discuss broader social implications of the use of solar energy and highlight applications of math to local issues.
Viri Macias, Ana Sammel, Emma Villegas, Bori Mazzag, Kamila Larripa
Mathematics
Viri Macias, Ana Sammel and Emma Villegas presented their mathematical work at the CSU PUMP Symposium. Viri presented a model for calcium signaling and Ana and Emma presented a model for COVID-19 and immune cell interactions. The projects were mentored by Bori Mazzag and Kamila Larripa.
Kamila Larripa
Mathematics
Kamila Larripa was selected to conduct research at the American Institute of Mathematics in June. She and collaborators will build stochastic models for immune cell dynamics.
Bridget Opperman, Kamila Larripa
Mathematics
Math student Bridget Opperman will present a research poster on "Mathematical Analysis of Virus-Immune Dynamics and Implications for Treatment" at the National Conferences on Undergraduate Research.