# Achievements

### Publications and achievements submitted by our faculty, staff, and students.

Faculty 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.

Faculty 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.

Student 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.

Faculty 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.

Student 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.

Faculty Bori Mazzag Mathematics

Dr. Bori Mazzag and Dr. Julie Glass, CSU East Bay, co-organized a series of CSU-wide talks in January as part of the year-long Math Council Colloquium series. The theme of the January talks was "Peer Instruction". We aimed to connect faculty and staff across the CSU who work on providing academic support services to students in mathematics and statistics courses. In addition to the talks, we collected some information on the structure of the tutoring and peer instruction on the various campuses. CSU campuses were broadly represented in the series, including speakers from Humboldt State University's Learning Center.

Faculty Peter Goetz, Andrew Conner Mathematics

Published the article "Classification, Koszulity and Artin-Schelter regularity of certain graded twisted tensor products" in the Journal of Noncommutative Geometry, DOI: 10.4171/JNCG/395

Student Cianna Balderama, Daisy Montalvo, Ashley Tran, Ana Sammel, Emma Villegas, Bridget Opperman, Makani Bright, Hunter Kahn, Soeon Park, Tanner Hooven, Kevin Chung, Diego Rodriguez Moreno Mathematics

Twelve CNRS students competed in the international Mathematical Contest in Modeling-- an annual four day intensive competition. Teams of 3 worked intensely to apply mathematics to a real world problem. Students worked on mathematical models applied to competing populations of fungi, musical influence, and optimizing our nation's delivery of higher education. The contest happened virtually due to the pandemic.

Faculty Kamila Larripa Mathematics

Kamila Larripa and co-authors had their paper accepted to the Journal of Theoretical Biology. The paper is entitled "Bifurcation and sensitivity analysis reveal key drivers of multistability in a model of macrophage polarization" and investigates how a specific immune cell responds to cytokine signals.

Faculty Peter Goetz Mathematics

Recently published the single-authored paper "Graded Coherence of Certain Extensions of Graded Algebras" in Communications in Algebra, June 2020, https://doi.org/10.1080/00927872.2020.1775844

The paper studies when the coherence property is inherited by certain extensions of algebras.

Faculty Bori Mazzag, Kamila Larripa, Viri Macias, Megan Johnson, Ana Sammel and Emma Villegas Mathematics

Bori Mazzag and Kamila Larripa each received a CSU PUMP grant to mentor students in mathematical research for the 2020/2021 academic year. Mazzag will investigate calcium dynamics using differential equations and graph theory with Viri Macias and Megan Johnson, and Larripa will model the interaction between Sars-CoV-2 and the host's immune system, working with Ana Sammel and Emma Villegas.

Faculty Steven Railsback, Bret Harvey Mathematics

Steven Railsback (adjunct faculty, Mathematics) and Bret Harvey (adjunct, Fisheries Biology) just published the book "Modeling Populations of Adaptive Individuals", volume 63 in the prestigious Princeton Monographs in Population Biology series. The book presents a new kind of theory for adaptive behavior of individual organisms (e.g., when and where to forage, considering both growth and predation risk) that works in complex individual-based population models. The book builds on HSU's long tradition in individual-based ecological modeling. https://press.princeton.edu/books/paperback/9780691195285/modeling-populations-of-adaptive-individuals

Faculty Kamila Larripa Mathematics

Kamila Larripa coauthored the paper "A Tutorial Review of Mathematical Techniques for Quantifying Tumor Heterogeneity" which was accepted for publication. The work considers intra-tumor and inter-patient heterogeneity and mathematical models for precision medicine. It will appear in Mathematical Biosciences and Engineering.

Student Charlin Duff, Skye Gibney, Eric Malekos Mathematics

Charlin Duff, Skye Gibney and Eric Malekos received an Honorable Mention for their participation in the Mathematical Contest in Modeling. Their project used mathematical modeling to make policy suggestions with the goal of mitigating the detrimental effect of plastic waste on the environment.

Faculty Bori Mazzag, Sonja Manor, Liza Boyle and Ruth Saunders Mathematics

HSU sub-award of the NSF-Funded SUMMIT-P Consortium. SUMMIT-P is a consortium of institutions committed to curricular innovations in the first two years of mathematics to improve the training of students in partner disciplines. Boyle, Mazzag and Saunders attended a SUMMIT-P workshop in Denver, Colorado.

Faculty Bori Mazzag Mathematics

Contributed talk at the Joint Mathematics Meetings "Corequisite courses and the STEM Pathway."

Faculty Abeer Hasan Mathematics

Was offered a CURM (Center for Undergraduate Research in Mathematics) grant for the 2019-2020 academic year.

Faculty Bori Mazzag Mathematics

Panel discussion/talk at the Joint Mathematics Meetings "Advancing Mathematics Education at Scale" with co-authors Uri Treisman Dana Center, Julie Glass, CSU East Bay, Alana Unfried, CSU Monterey Bay, Michael O'Sullivan, San Diego State University

Faculty Abeer Hasan Mathematics

Presented a contributed paper at the Joint Math Meeting in Denver, Colorado, Jan. 15-18, 2020.

Faculty Kamila Larripa Mathematics

Was selected for participation in a summer research program for women hosted by the Mathematical Sciences Research Institute in Berkeley, CA. MSRI is widely regarded as a world leading mathematical center for collaborative research and is supported by the NSF.