Week of Events
Ami Radunskaya (Pomona College)
Ami Radunskaya (Pomona College)
Title: Can a function tell us how immune cells kill? Speaker: Prof. Ami Radunskaya (Pomona College, Claremont CA) Abstract: The immune system is able to fight cancer by mustering and training an army of effector “killer” cells. Mathematical models of tumor-immune interactions must describe the proliferation, recruiting and killing rates of immune cells. Earlier work surprisingly showed that […]
Sublattices and subrings of Z^n and random finite abelian groups (Nathan Kaplan, UC Irvine)
Sublattices and subrings of Z^n and random finite abelian groups (Nathan Kaplan, UC Irvine)
How many sublattices of Zn have index at most X? If we choose such a lattice L at random, what is the probability that Zn/L is cyclic? What is the probability that its order is odd? Now let R be a random subring of Zn. What is the probability that Zn/R is cyclic? We will see how these questions fit […]
Claremont Topology Seminar: Qing Zhang (UC Santa Barbara)
Claremont Topology Seminar: Qing Zhang (UC Santa Barbara)
We welcome all undergraduates and graduate students to attend topology seminar! Speaker: Qing Zhang (UC Santa Barbara) Title: Super-modular categories from near-group centers Abstract: A super-modular category is a unitary pre-modular category with Müger center equivalent to the symmetric unitary category of super-vector spaces. The modular data for a super-modular category gives a projective representation […]
A Survey of Diophantine Equations (Edray Goins, Pomona College)
A Survey of Diophantine Equations (Edray Goins, Pomona College)
Title: A Survey of Diophantine Equations Speaker: Edray Herber Goins, Professor of Mathematics and Statistics, Pomona College Abstract: There are many beautiful identities involving positive integers. For example, Pythagoras knew $3^2 + 4^2 = 5^2$ while Plato knew $3^3 + 4^3 + 5^3 = 6^3$. Euler discovered $59^4 + 158^4 = 133^4 + 134^4$, and even […]
Analysis seminar: Therese Basa Landry (UCSB)
Analysis seminar: Therese Basa Landry (UCSB)
Title: Developments in Noncommutative Fractal Geometry Abstract: As a noncommutative fractal geometer, I look for new expressions of the geometry of a fractal through the lens of noncommutative geometry. At the quantum scale, the wave function of a particle, but not its path in space, can be studied. Riemannian methods often rely on smooth paths to encode […]