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GEMS Workshop: “Graphs, matrices, and recurrences” with Professor Lucas Bang, from Harvey Mudd College

Shanahan 1480, Harvey Mudd College 301 Platt Blvd., Claremont, CA, United States

TOPIC: Graphs, matrices, and recurrences Abstract: In mathematics, we are often surprised to find that problems that look very different are actually the same problem in a different guise! In this seminar, we will build on the previous discussions about graph theory and describe how other areas of math are closely related to graphs. Specifically, […]

Applied Math Talk: Solving Complex Public Health Problems—Cancer, Obesity and Aging (Jessica Dehart, CGU)

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

Abstract: Remember smoking? What’s the new public health problem? In the US, we are currently entangled within three converging and intertwined complex problems: Cancer, Obesity, Aging. There are over 16 million cancer survivors living in the US as we speak. Over 50% of our society is overweight and/obese. Our society is aging and the age […]

Chow rings of heavy/light Hassett spaces via tropical geometry (Dagan Karp, HMC)

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

In this talk, I will try to give a fun introduction to tropical geometry and Hassett spaces, and show how tropical geometry can be used to compute the Chow rings of Hassett spaces combinatorially. This is joint work with Siddarth Kannan and Shiyue Li.

Unravelling Biochemistry Mysteries: Knot Theory Applied to Biochemistry (Price, University of San Diego)

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

Abstract: Mathematical modeling is an effective resource for biologists since it provides ways to simplify, study and understand the complex systems common in biology and biochemistry. Many mathematical tools can be applied to biological problems, some traditional and some more novel, all innovative. This presentation will review the mathematical tools that are used to model […]

Enhancements of the quandle coloring invariant for knots (Karina Cho, Harvey Mudd College)

Roberts North 104, CMC 320 E. 9th St., Claremont, CA, United States

Quandles are algebraic structures that play nicely with knots. The multiplicative structure of finite quandles gives us a way to "color" knot diagrams, and the number of such colorings for a given knot and quandle is called the quandle coloring invariant. We strengthen this invariant by examining the relationships between the colorings, which are given […]

Applied Math Talk: Nonlocal problems for linear evolution equations (Prof. Smith David Andrew, Yale-NUS College, Singapore)

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

Linear evolution equations, such as the heat equation, are commonly studied on finite spatial domains via initial-boundary value problems. In place of the boundary conditions, we consider “multipoint conditions”, where one specifies some linear combination of the solution and its derivative evaluated at internal points of the spatial domain, and “nonlocal” specification of the integral […]

Theory of vertex Ho-Lee-Schur graphs (Sin-Min Lee, SJSU)

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

A triple of natural numbers (a,b,c) is an S-set if a+b=c. I. Schur used the S-sets to show that for n >3, there exists s(n) such that for prime p > s(n), x^p + y^p = z^p (mod p) has a nontrivial solution. A (p,q)-graph G is said to be vertex Ho-Lee-Schur graph if there exists a bijection […]

A Conformal Mapping Approach to Shape Optimization Problems. (Kao, CMC)

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

Abstract: In this talk, a conformal mapping approach to shape optimization problems on planar domains will be discussed. In particular, spectral methods based on conformal mappings are proposed to solve Steklov eigenvalues and their related shape optimization problems in two dimensions. To apply spectral methods, we first reformulate the Steklov eigenvalue problem in the complex domain […]

A (Z⊕Z)-family of knot quandles (Jim Hoste, Pitzer College)

Suppose K is an oriented knot in a 3-manifold M with regular neighborhood N (K). For each element γ ∈ π 1 (∂N (K)) we define a quandle Q γ (K; M) which generalizes the concept of the fundamental quandle of a knot. In particular, when γ is the meridian of K, we obtain the […]

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 […]