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Colloquium talk.

Speaker: Dr. Kamuela Yong, UH West Oahu.

3:30-4:30PM, Keller 303.

Title: When Mathematicians Don’t Count

Abstract: A systemic issue of Indigenous invisibility within the mathematical community persists, rooted in practices that obscure Indigenous individuals in demographic data. Whether through aggregation with broader groups, categorization as “other,” or complete omission due to identifiability concerns, they remain statistically invisible. This not only impedes accurate representation but also perpetuates the false narrative that mathematics is devoid of Indigenous presence.

Simultaneously, Indigenous voices remain critically absent within educational spaces.

In this talk, I will not only address these challenges but also share our ongoing efforts to build a thriving community of Indigenous mathematicians. Furthermore, I will discuss my personal journey in transforming my curriculum, infusing it with examples of ancestral knowledge and Indigenous perspectives integrated into mathematical concepts.

By shedding light on these issues and offering actionable strategies for change, this presentation seeks to inspire hope and promote a more inclusive and welcoming environment for Indigenous individuals within the mathematical community.

Number Theory Seminars 2/24

eisenstein - 1Visiting mathematicians from UC San Diego, Alina Bucur and Kiran Kedlaya, will give two number theory talks on Thursday, February 24 in Keller 301.

3-3:45 PM Kiran Kedlaya
The relative class number one problem for function fieldsAbstract: Gauss conjectured that there are nine imaginary quadratic fields of class number 1; this was resolved in the 20th century by work of Baker, Heegner, and Stark. In between, Artin had introduced the analogy between number fields and function fields, the latter being finite extensions of the field of rational functions over a finite field. In this realm, the class number 1 problem admits multiple analogues; we recall some of these, one of which was “resolved” in 1975 and then falsified (and corrected) in 2014, and another one of which is a brand-new theorem in which computer calculations (in SageMath and Magma) play a pivotal role.


3:45-4:15 PM
Q&A, break, refreshments

4:15-5 PM Alina Bucur
Counting points on curves over finite fields

Abstract: A curve is a one dimensional space cut out by polynomial equations. In particular, one can consider curves over finite fields, which means the polynomial equations should have coefficients in some finite field and that points on the curve are given by values of the variables in the finite field that satisfy the given polynomials. A basic question is how many points such a curve has, and for a family of curves one can study the distribution of this statistic. We will give concrete examples of families in which this distribution is known or predicted, and give a sense of the different kinds of mathematics that are used to study different families. This is joint work with Chantal David, Brooke Feigon, Kiran S. Kedlaya, and Matilde Lalin.