Diophantine avoidance has been studied by several authors in recent years. This refers to effective results on existence of points of bounded size in a given algebraic set avoiding some specified subsets. The famous primitive element theorem states that every number field K is of the form Q(a) for some element a in K. From the proof of […]
CCMS Colloquium invites you to a talk by Manuel Reyes (UCI) Title: When XY is not equal to YX Abstract: The commutative property of algebra states that the order of multiplication makes no difference: XY = YX. This property is so ingrained in our experience that it becomes difficult to imagine how algebra would function without it! If the commutative property fails, […]
Abstract: I will introduce In-Context Operator Networks (ICON), a framework in which a single neural network learns solution operators for differential equations directly from a few prompted input-output examples at inference time, without any weight updates. ICON acts as a few-shot learner across forward and inverse problems for ODEs, PDEs, and mean-field control. I will […]
One of the key objects used in Ngo's proof of the fundamental lemma is the group scheme of universal centralizers associated to a split reductive group G. In this talk, we'll discuss forthcoming work, joint with Victor Ginzburg, which describes the coordinate ring of the group scheme of universal centralizers in terms of the root datum of G using Demazure (or divided […]
CCMS Colloquium invites you to a talk by Andrew Fiss (Michigan Technological University) Title: “Singing American Math: College Traditions from Book Burnings to Observatory Parties, 1880s-1920s" Abstract: “Singing Math” is a practice that linked American colleges of the late nineteenth and early twentieth centuries. A part of broader college singing traditions, it stood apart because of its […]
Abstract: Consider n independent, biased coins, each with a known probability of heads. Presented with an ordering of these coins, flip (i.e., toss) each coin once, in that order, until we have observed both a head and a tail, or flipped all coins. The Unanimous Vote problem asks us to find the ordering that minimizes […]
Many aggregation problems ask us to turn individual judgments into a single collective outcome. In this talk, we model each voter’s input as a relation on a set of alternatives, allowing pairwise comparisons to include strict preferences, ties, or incomparability. This perspective gives a common framework for median procedures and scoring methods, including several familiar […]
Topology, akin to geometry, delves into the study of the shapes and structures of mathematical spaces, ranging from simple surfaces to intricate collections of functions and objects. In recent years, these foundational concepts have extended beyond pure mathematics to address practical problems in data science, influencing diverse areas such as chemistry, neuroscience, and robotics. This […]
An organizational meeting for this semester's "Number Theory Learning Seminar will take place on Thursday September 3 at 4:00 PM in CGU’s Burkle Hall, Room 24. The Seminar is geared for graduate students, undergraduates, and faculty to learn about topics in number theory which are not typically covered in traditional classes. The volunteers will take […]
This GEMS session will be facilitated by Professor Qidi Peng and William Wu from Claremont Graduate University. Title: How to create a die if you only have a coin? Abstract: Imagine you have no dice but only coins, how do you play a monopoly game? This lesson introduces a number of mysterious methods to simulate all probabilities […]
Given a polynomial defined over a field $K$, you can build an extension of $K_\infty / K$ by adjoining inverse images of some point $\alpha \in K$. The behavior of […]
This poster session is meant to showcase undergraduate and graduate work in the mathematical sciences, broadly interpreted, in a supportive environment. The poster session will take place at Claremont Graduate University at The Drucker Institute, 1021 N Dartmouth Ave from 4:15pm - 5:30pm, on Wednesday September 9th, 2026. Refreshments will be provided! For any […]
