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 […]

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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 […]

 We are excited to have Daniel Reinholz presenting Imbuing Inquiry-Based Instruction with Equity: The Importance of Social Marker Data on Thursday, March 30th at 12pm (EDT). The workshop will be roughly 45 minutes in length followed by time for questions and answers. Each workshop will be held remotely, so we look forward to having as many attend as possible. Note […]

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  You are invited to the Spring 2023 Professor Laureate Awards and Lecture, with a reception to follow.No RSVP is required  

apr14_23 Zeta functions in asymptotic algebra I: subobject growth Tobias Rossmann University of Galway, IrelandOver the past decades, the study of zeta functions arising from algebraiccounting problems has evolved into a distinct branch of asymptotic algebra.An appealing feature of this area is that it constitutes a meeting groundfor several different mathematical subjects such as algebra, […]

Advisor: Dr. Patrick ShipmanCommittee:  Dr. Jennifer Mueller, Dr. Joe von FischerTitle: Nonlinear Dynamics and Machine Learning Classification of PlantPigment PatternsAbstract: Plants exhibit a variety of vibrant colors that are bothbeautiful and functional. They owe their reds, purples, and blues to aclass of pigments called anthocyanins. Many plants possess spatialvariation in their anthocyanin concentration and color, […]