Talk 1: Spectral Turan problems for intersecting even cycles Dheer Desai University of Wyoming Turán numbers are a cornerstone of extremal graph theory. For graphs with chromatic number at least three, the asymptotics of the Turán numbers are completely known and follow from celebrated results of Erdős, Stone and Simonovits. However, these remain unknown for […]

TITLE: Homotopy type theory and univalent foundations ABSTRACT: This talk will introduce alternative foundations for mathematics in which "equality" becomes "identity," which is no longer a mere predicate but can carry structure. The primitive notion is called a "type," which can be interpreted as something like a set, or as something like a mathematical proposition, […]

ibl-sigmaa-speaker-series-spring-2023 Presentations on Thursdays by: Martha Byrne January 26 @ 4 pm EST Edward Burger February 23 @ 11 am EST Daniel Reinholz March 30 @ 2 pm EDT Aditiya Adiredja April 27 @ 2 pm EDT   If you are unable to attend our workshops, we will be posting slides and materials from the […]

Advisor: Dr. Henry AdamsCo-Advisor:Emily King Committee:  Dr. Jess Hagman, Dr. Imme Ebert-Uphoff Title: Using Mathematical Techniques to Leverage Domain Knowledge in Image Analysis for Earth Science Abstract: When presented with the power of modern machine learning techniques, there is a belief that we can simply let these algorithms loose on the data and see what […]

Advisor: Dr. Michael Kirby Committee:  Dr. Emily King,Dr. Chris Peterson,Dr. Charles Anderson Title: Subspace and Network Averaging for Computer Vision and Bioinformatics Abstract: Finding a central prototype (a.k.a. average) from cluster of points may seem like a problem from elementary school statistics (e.g. the mean), but has broad application to complex problems like action clustering […]

Advisor:  Dr. Wolfgang BangerthCommittee:  Dr. Patrick Shipman,Dr. James Liu,Dr. Richard FinkeTitle: Quantification and application of uncertainty in the formation ofnanoparticlesAbstract: Nanoparticles are essential across many scientific applications, but their properties are size-dependent. Despite the usefulness of producing monodisperse particle size distributions, it still remains a challenge to fully understand -- and hence be able to control […]

Learn how to tackle this important professional skill with a representative from the CSU Career Center! spring23awmposter

Advisor: Dr. Wolfgang BangerthCommittee:  Dr. David Aristoff, Dr. Tianyang WangTitle: Numerical Solution of the Black-Scholes Equation Using Finite Element MethodsAbstract: The Black-Scholes model is a well-known model for pricing financial options. This model takes the form of a partial differential equation (PDE) that, surprisingly, is deterministic. In the special case where the option only has […]

Advisor: Dr. Renzo CavalieriCo-Advisor:Jess HagmanCommittee:  Dr. Jill ZarestkyTitle: Graduate students' representational fluency in elliptic curvesAbstract: Elliptic curves are an important concept in several areas of mathematics, including number theory and algebraic geometry. Within these fields, three mathematical objects have each been referred to as an elliptic curve: a complex torus, a smooth projective curve of […]

Professor Philippe LeFloch will speak at 4:00pm, Friday, March 10 in 237.   Refreshments at 3:30.   Title: Shock waves, propagating interfaces, and gravitational singularities Speaker:  Philippe G. LeFloch, Sorbonne University, France Abstract. I will overview recent advances on nonlinear wave phenomena with singularities. Interfaces and shock waves are important in fluid dynamics, material dynamics, astrophysics, cosmology, etc. On […]

Advisor:  Dr. James Wilson Committee:  Dr. Amit Patel, Dr. Maria Gillespie, Dr. Sanjay Rajopadhye Title: A Representation Theory for Bilinear Maps The intent of this paper is to assemble basic concepts and results for a representation theory of biadditive and bilinear maps. Towards this end, we begin with some foundational definitions which are meant to […]

Advisor: Dr. James Wilson Committee:  Dr. Alexander Hulpke, Dr. Dustin Tucker Title: Decomposing bilinear maps Abstract: Finding distinguishable communities in a large population, expressing groups as a direct sum of their subgroups, and determining the distinct sources of stress on a metal beam are all different versions of the same problem. The problem is how […]