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Applied Math Seminar: The Kaczmarz Algorithm and its Applications to Data Science (Anna Ma, UCSD)

Emmy Noether Room, Millikan 1021, Pomona College 610 N. College Ave., Claremont, California

Data is exploding at a faster rate than computer architectures can handle. For that reason, mathematical techniques to analyze large-scale data need be developed. Stochastic iterative algorithms have gained interest due to their low memory footprint and adaptability for large-scale data. In this talk, we will study the Randomized Kaczmarz algorithm for solving extremely large […]

What Did Ada Do? Digging into the Mathematical Work of Ada Lovelace (Gizem Karaali, Pomona)

Millikan 2099, Pomona College 610 N. College Ave., Claremont, CA, United States

Augusta Ada Byron King Lovelace (1815-1852) is today celebrated as the first computer programmer in history. This might be confusing to some because in 1852 there were no machines that looked like what we call computers today. In this talk I attempt to explain what Ada really did, and delineate the mathematics involved. Bernoulli numbers […]

Is My Subgroup Normal? How Math Communities Differand Why it Matters (Sinclair, Google)

Shanahan B460, Harvey Mudd College 301 Platt Blvd., Claremont, CA, United States

Mathematics isnt done in a void: its done by groups of people. Those groups have different norms and values, which affect both who wants to engage in math and the mathematics itself being done. When thinking about diversity and inclusion, explicitly examining norms within our communities can get us a long way. Through a Thomas […]

Applied math seminar: Topological descriptions of protein folding (Helen Wong, CMC)

Emmy Noether Room, Millikan 1021, Pomona College 610 N. College Ave., Claremont, California

Knotting 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 researchers now hypothesize that the knotting presents some functional or evolutionary advantage for those proteins.   Unfortunately, there is very little known (whether experimentally, through […]

Notions of stability in algebraic geometry (Jason Lo, CSUN)

Millikan 2099, Pomona College 610 N. College Ave., Claremont, CA, United States

One of the main drivers of current research in geometry is the classification of Calabi-Yau threefolds.  Towards this effort, a particular approach in algebraic geometry is via the study of stability conditions.  In this talk, I will explain what constitutes a notion of stability in algebraic geometry, and what the challenges are in studying them.

Frobenius problem over number fields (Lenny Fukshansky, CMC)

Emmy Noether Room, Millikan 1021, Pomona College 610 N. College Ave., Claremont, California

The 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 been studied extensively in combinatorics, number theory, algebra, theoretical computer science and probability theory. In this talk, we will consider a reformulation of this problem […]

Poster Session Fall 2019

Argue Auditorium, Pomona College 610 N. College Ave., Claremont, CA, United States

CLAREMONT CENTER for MATHEMATICAL SCIENCES Fall 2019 Poster Session Click here for poster abstracts.

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, California

We 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 stable reconstructions of the absorption coefficient of the fluorophores at the excitation frequency and the quantum efficiency coefficient simultaneously, provided that some background medium parameters […]

Introduction to theory of Euclid graphs (Sin-Min Lee, SJSU)

Emmy Noether Room, Millikan 1021, Pomona College 610 N. College Ave., Claremont, California

In 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 be in Euclid(0) if there exists a bijection f: V(G) --> {1,…,p} such that for each induced C3 subgraph with vertices {v1,v2,v3} with f(v1)<f(v2)<f(v3) we […]

Topology Seminar: Sam Nelson (CMC)

Millikan 2099, Pomona College 610 N. College Ave., Claremont, CA, United States

Title: Biquandle Brackets and Knotoids Abstract: Biquandle brackets are a type of quantum enhancement of the  biquandle counting invariant for oriented knots and links, defined by a set of skein relations with coefficients which are functions of biquandle colors at a crossing. In this talk we use biquandle brackets to enhance the biquandle counting matrix […]

Data-driven multiscale modeling of cell fate dynamics

Argue Auditorium, Pomona College 610 N. College Ave., Claremont, CA, United States

Cells make fate decisions in response to dynamic environmental and pathological stimuli as well as cell-to-cell communications. Recent technological breakthroughs have enabled to gather data in previously unthinkable quantities at single cell level, starting to suggest that cell fate decision is much more complex, dynamic, and stochastic than previously recognized. Multiscale interactions, sometimes through cell-cell […]

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