Abstract: Mathematics is often studied as a collection of distinct subjects—linear algebra, analysis, differential equations, probability, optimization, and numerical methods. In industry, however, these areas frequently come together while solving real-world problems. In this talk, I will discuss some of the opportunities available to mathematics students in industry and illustrate, through concrete examples, how mathematical ideas move from the classroom to practical applications.
Seminars
Abstract: We will discuss how to determine the shape of the space of complex solutions to a polynomial equation P(z,w) = 0, focusing on concrete examples. If time permits, we will also see a general result in this direction and an indication of how to prove it.
All are cordially invited to the seminar.
Abstract: The talk will start with an introduction to the field of "Symplectic geometry". We will see the statement and the proof outline of Gromov's non-squeezing theorem, which is one of the most important results in the field. Via the proof of this result, we will see the role played by holomorphic curves in studying symplectic manifolds.
All are cordially invited to the seminar.
Abstract: The classical isoperimetric problem asks: among all plane regions with a fixed perimeter, which one encloses the largest area? The isoperimetric inequality answers this question quantitatively and shows the circle (and in higher dimensions, the sphere) is uniquely optimal. In three dimensions, this answers why a soap bubble tends to become spherical.
Chronic oxidative stress is implicated in a wide range of human diseases, yet its causal and tissue-specific roles in disease initiation and progression remain poorly defined. In this seminar, I will present how redox stress functions as a context-dependent driver of pathology across neurovascular, cardiovascular, maternal (preeclampsia), and metabolic(diabetes) disease states.
