Sporadic points on modular curves (Ozlem Ejder, Colorado State University)
A classic and fundamental result in number theory is due to Mordell who proved that the set of points on an elliptic curve defined over a number field forms a […]
12 events found.
Emmy Noether Room, Millikan 1021, Pomona College
Events at this venue
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Emmy Noether Room, Millikan 1021, Pomona College 610 N. College Ave., Claremont, California
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Applied Math Talk: A Full Asymptotic Series of European Call Option Prices in the SABR Model with Beta = 1 given by Zhengji Guo (CGU)
Emmy Noether Room, Millikan 1021, Pomona College 610 N. College Ave., Claremont, CaliforniaWe develop two new pricing formulae for European options. The purpose of these formulae is to better understand the impact of each term of the model, as well as improve the speed of the calculations. We consider the SABR model (with $\beta=1$) of stochastic volatility, which we analyze by tools from Malliavin Calculus. We follow […]
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Matroids: a unified theory of independence (Mauricio Gomez Lopez, University of Oregon)
Emmy Noether Room, Millikan 1021, Pomona College 610 N. College Ave., Claremont, CaliforniaIn this talk, I will give an overview of the theory of matroids. These are mathematical objects which capture the combinatorial essence of linear independence. Besides providing some basic definitions […]
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Applied Math Seminar: Mathematical model of Hematopoietic cell differentiation from single-cell gene sequencing data (Prof. Heyrim Cho ,UCR)
Emmy Noether Room, Millikan 1021, Pomona College 610 N. College Ave., Claremont, CaliforniaRecent advances in single-cell gene sequencing data and high-dimensional data analysis techniques are bringing in new opportunities in modeling biological systems. In this talk, I will discuss different approaches to develop mathematical models from single-cell data. Particularly for high-dimensional single-cell gene sequencing data, dimension reduction techniques are applied to find the trajectories of cell states […]
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Regime transitions of liquid films flowing down a fiber (Applied Math Talk given by Prof. Claudia Falcon, UCLA)
Emmy Noether Room, Millikan 1021, Pomona College 610 N. College Ave., Claremont, CaliforniaRecent experiments of thin films flowing down a vertical fiber with varying nozzle diameters present a wealth of new dynamics that illustrate the need for more advanced theory. Determining the regime […]
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Combinatorics and representation theory of Temperley-Lieb algebras (Zajj Daugherty, CUNY)
Emmy Noether Room, Millikan 1021, Pomona College 610 N. College Ave., Claremont, CaliforniaThe classical, one-boundary, and two-boundary Temperley-Lieb algebras arise in mathematical physics related to solving certain rectangular lattice models.They also have beautiful presentations as "diagram algebras", meaning that they have basis […]
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Adinkras: Snapshots of Supersymmetry (Jordan Kostiuk, Brown University)
Emmy Noether Room, Millikan 1021, Pomona College 610 N. College Ave., Claremont, CaliforniaAn “Adinkra” is a graphical tool to describe a branch of particle physics known as supersymmetry. Understanding the mathematics of Adinkras shines a light on the underlying physics, as well […]
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Introduction to theory of Euclid graphs (Sin-Min Lee, SJSU)
Emmy Noether Room, Millikan 1021, Pomona College 610 N. College Ave., Claremont, CaliforniaIn Euclidean geometry, the sum of two sides of any triangle is greater than the third side. We introduce this idea to labeling of graphs. A (p,q)-graph G=(V,E) is said to […]
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Applied Math Seminar: A hybrid inverse problem in the fluorescence ultrasound modulated optical tomography given by Yimin Zhong (UCI)
Emmy Noether Room, Millikan 1021, Pomona College 610 N. College Ave., Claremont, CaliforniaWe investigate a hybrid inverse problem in fluorescence ultrasound modulated optical tomography (fUMOT) in the diffusive regime. We prove that the boundary measurement of the photon currents allows unique and […]
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Frobenius problem over number fields (Lenny Fukshansky, CMC)
Emmy Noether Room, Millikan 1021, Pomona College 610 N. College Ave., Claremont, CaliforniaThe classical Frobenius problem asks for the largest integer not representable as a non-negative integer linear combination of a relatively prime integer n-tuple. This problem and its various generalizations have […]
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Applied Math Seminar: Organizational meeting
Emmy Noether Room, Millikan 1021, Pomona College 610 N. College Ave., Claremont, CaliforniaAs titled
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Applied math seminar: Topological descriptions of protein folding (Helen Wong, CMC)
Emmy Noether Room, Millikan 1021, Pomona College 610 N. College Ave., Claremont, CaliforniaKnotting in proteins was once considered exceedingly rare. However, systematic analyses of solved protein structures over the last two decades have demonstrated the existence of many deeply knotted proteins, and […]