What is Mathematics Sin Fronteras (MSF)?
Mathematics Sin Fronteras (MSF) is a Pan-American (virtual) bilingual (English-Spanish) extracurricular weekly math outreach lecture series spread over a 3-month period. The goal of MSF is to introduce (1st and 2nd year) undergraduate students from diverse backgrounds across South, Central and North America to mathematics and its applications in an engaging and inclusive way that complements the usual university/college math curriculum. The aim is also to promote cross-cultural communication by connecting students across the Americas with a passion for math, and provide them with the opportunity to interact with leading researchers in their fields in a bilingual environment. Underrepresented and economically disadvantaged groups are particularly encouraged to apply.
This conference is an initiative of the Math CoOp at Brown University, with support from the Association for Women in Mathematics (AWM), the Division of Applied Math at Brown University and the National Science Foundation's Mathematical Science Institutes Diversity Initiative (MSIDI). In particular, we would like to gratefully acknowledge financial support from the Mathematical Science Institutes Diversity Initiative (MSIDI).
Please apply using the following form. If you have any questions, email email@example.com. The lecture series is targeted towards first and second year undergraduate students in South, Central and North America, and open to all, regardless of gender identity or background. Underrepresented and economically disadvantaged groups are particularly encouraged to apply.
Applications will be accepted as long as there are vacancies, but those submitted by Feb 26th, 2021, will be given fullest consideration. Decisions on applications will be conveyed on a rolling basis. Participation is free, although students should have good internet access to be able to participate actively in Zoom lectures.
The series consists of weekly lectures from March 10--May 26, 2021. Each lecture will be held on a Wednesday from 15:00-16:30 Eastern Time (ET), and will be conducted virtually via Zoom. All four lecturers are bilingual, and can ask and answer questions in both English and Spanish. Mini Courses 1 and 3 willl be delivered in Spanish and Mini Courses 2 and 4 will be delivered in English. But, in all cases, slides of the lectures and (optional) homework assignments will be available in both English and Spanish. Thus, students need be fluent in only one language, and not both.
Mini Course 1
Re-Imagining the World Through Linear Algebra
Abstract: In these lectures we will explore basic linear algebra concepts that are used in the processing of digital images. We will start by seeing how images are represented in computers and TV monitors. Then, we will explore how we can use linear algebra to deblur, denoise, and compress digital images.
Mini Course 2
Geometric flows: Deforming geometry in time
In this course I will describe what is a geometric flow and how they have been used to address problems in several areas of mathematics. In the last two lectures I will concentrate on the particular case of "Curve shortening flow" and connect it with the main ideas in the field.
Mini Course 3
The isoperimetric problem
Abstract: The isoperimetric problem dates back to the ancient Greeks. It can be stated as follows: Among all closed curves in the plane of fixed length, which curve (if any) maximizes the area of its enclosed region? Although it is easy to obtain a result intuitively, the first mathematically rigorous proof was only obtained only in the 19th century. In this series of lectures we will explore different approaches to this problem. This will give us the opportunity to study some geometry as well as some aspects of the Fourier transform.The isoperimetric problem opens the door to many interesting questions currently under study in an area of mathematics called Geometric Measure Theory. At the end of the course we will discuss some of them.
Mini Course 4
An introduction to error correcting codes
Abstract: Error-correcting codes play an important role in many areas of science and engineering, as they safeguard the integrity of data against the adverse effects of noise in communication and storage. On the most basic level, good error-correcting codes are able to both transmit data efficiently and correct a large number of errors relative to their length. In this short course we will study the basic notions of the theory of error-correcting codes. We will see some classical examples of linear codes over finite fields such as the Hamming codes, Reed-Solomon codes, cyclic codes and BCH codes. We will study classical bounds for the parameters of these codes and their detection and error-correction capabilities.
More details about each mini-course will be posted here closer to the start of the respective course.
Will be updated after March 5, 2021.
If you have any questions, please e-mail firstname.lastname@example.org