Search

Algebraic Geometry Algebra/Logic DeLong Diversity Functional Analysis Grad Algebra/Logic Init Conditions Kempner Lie Theory Math Club Math Phys Noncomm Geometry Number Theory PDE/Analysis Probability Rep Theory Grad Student Seminar Thesis Defenses Topology Ulam Math Edu

Events for the weeks of September 14th – 26th

Print these events

Tue, Sep. 16 1:25pm (online)	Algebra/Logic Leandro Vendramin (Vrije Universiteit Brussel, Belgium) View Online:https://cuboulder.zoom.us/j/96896272260 X This talk explores the interplay between set-theoretic solutions to the Yang-Baxter equation and structures arising in algebraic logic. Central to this connection is the recently introduced theory of L-algebras, which generalizes well-known logical systems such as Hilbert and Heyting algebras. The presentation assumes minimal background. We will discuss illustrative examples, highlight open problems, and share several conjectures. L-Algebras: A bridge between algebraic logic and the Yang-Baxter equation
Tue, Sep. 16 2:30pm (MATH 2…	Grad Algebra/Logic Charlotte Aten (CU Boulder) X We will begin covering background material pertaining to the recent paper "A categorical perspective on constraint satisfaction: The wonderland of adjunctions" by Hadek, Jakl, and Oprsal. Categorical methods for constraint satisfaction
Wed, Sep. 17 4:40pm (MATH 3…	Grad Student Seminar Matt Watson (CU Boulder) X Modular forms are functions on the upper half plane which satisfy certain transformation laws given by the action of certain arithmetic groups. Though often introduced as a complex analytic object, modular forms have a tendency to appear in seemingly unrelated areas of mathematics. How many ways can an integer be written as a sum of four squares? Modular forms can be used to solve this. What is the densest arrangement of non-overlapping spheres in ? Modular forms can be used to solve this. The coefficients of the Fourier expansion of some important modular function encode the dimensions of the irreducible representations of the monster group (moonshine!!!). In the context of geometry, modular forms give pluricanonical forms on some moduli space. The goal of this talk is to introduce modular forms, marvel at some of their interesting properties, and then explain why I care about modular forms as an algebraic geometer. Modular Forms and the Baily-Borel Theorem
Thu, Sep. 18 11:15am (MATH …	Algebraic Geometry Jon Kim X We continue the talk from last week, starting with quasipolarized and polarized K3 surfaces and their moduli spaces. Moduli of K3 Surfaces III
Fri, Sep. 19 10:10am (Math …	Math Edu Shelby Stanhope (US Air Force Academy) X Clear communication is an essential skill for success in mathematics, yet many undergraduates enter college-level courses without experience in writing solutions that are both clear and well-structured. This talk will explore strategies instructors can use to help learners begin developing effective communication practices as early as the calculus sequence, not just in proof-based courses. We will discuss the role of short phrases in guiding the reader, the importance of balancing notation with words, and techniques for establishing a logical flow that allows solutions to stand on their own. I will highlight a communication activity I have used in a multivariable calculus course that scaffolds the development of these skills, recognizing that such expectations may be new to many students. Developing Effective Communication Practices in Mathematics
Tue, Sep. 23 11am (MATH 350)	Number Theory Zheng Xiao (CU) X After Mordell’s conjecture for curves was proved by Faltings, attentions turn to the distribution of rational and integral points on higher dimensional varieties, which is encoded in the celebrated Vojta’s conjecture. Along this line we proved a subspace type inequality, improving the result of Ru-Vojta, on surfaces. Meanwhile, we obtain a sharp criterion of when some certain surfaces admit a non Zariski-dense set of integral points. Joint with Huang, Levin. Diophantine Approximation on Surfaces and Distribution of Integral Points
Tue, Sep. 23 2:30pm (MATH 3…	Topology Howy Jordan X A topological space is stratified when it is equipped with a nice decomposition into nice subsets. In the classical case, the nice subsets are manifolds. When the decomposition is nice enough, one can equip the stratified space with a stratified tangent bundle. "Is there a category of stratified spaces whose fiber bundles include these stratified tangent bundles?" Motivated by this question, we will investigate categories of stratified spaces. In particular, we will consider cases where the underlying stratification can vary and cases where there is a fixed base stratification and find interesting topologies and group objects along the way. Categories of Stratified Spaces
Thu, Sep. 25 11:15am (MATH …	Algebraic Geometry Daniel Lyness X TBA TBA
Thu, Sep. 25 2:30pm (MATH 3…	Functional Analysis Various X The members of the functional analysis group will give short talks introducing their research. Functional Analysis Open House

Return to the top of the page