Mathematics

 2024-25 Department of Mathematics and Statistics Events

 

 

September, 2024

Wednesday
September 4
5:30 p.m.
SE 215

Math Club

Join your friends and other math enthusiasts at FAU's Math Club events!  The purpose of our Club is to improve academic ability, spread awareness of mathematics’ importance, and share a passion for all fields of mathematics!

The club is open to all majors and all math backgrounds. Activities at the club will include:

  • Discussion of mathematics’ applications and importance.
  • Study sessions for mathematical concepts.
  • Group problem solving of math problems from a variety of fields, including set theory, algebra, geometry, topology, and more.
  • Presentation of exciting mathematical research and concepts.
  • Discussions on graduate school and employment

Snacks are always available!  See you there!

Thursday
September 5
10:00 am
SE 215

Crypto Café

Speaker:  Dr. Edoardo Persichetti, Associate Professor, Florida Atlantic University     FLYER

Title: A Brief Introduction to Code-Based Cryptography

Abstract: Code-based cryptographic primitives are among the main solutions for Post-Quantum Cryptography, the area of study in charge of protecting our information and communication in the presence of quantum adversaries. In this talk, I will briefly walk through the history of this field, highlighting the main constructions, modern approaches, and recent developments. Everyone welcome!

Video recording

Thursday
September 5
11:00 am
SE 215

Analysis and Applications

Speaker:  Professor Markus Schmidmeier, Florida Atlantic University

Title:  Invariant Subspaces of Nilpotent Operators

Abstract:  Related to the invariant subspace problem in functional analysis, but heading in a more algebraic direction, this talk concerns the linear algebra problem of classifying invariant subspaces of linear operators acting on finite dimensional vector spaces, (with no conditions on the underlying basefield or on the topology of the space).  Dependent on certain dimensions, the subspaces may either be sparse (and we can describe them) or plentiful (in the sense that there are parametrized families of pairwise non-equivalent subspace embeddings). Joint work with Claus Michael Ringelfrom Bielefeld, Germany.

Saturday
September 7
2:30 pm-4 pm
PS 112

Math Circle at FAU

Welcome to Math Circle!  The main purpose of the circle is to have fun with mathematics while learning something in the process. We will be discussing and solving problems, having friendly competitions, playing mathematical games. The purpose of this circle is to amplify the mathematical knowledge of students who like math, and do it in a fun way, we will also look at some AMC problems, and see how what was seen in the circle applies. We will be meeting every other Saturday, beginning Saturday, September 7, 2024.

It is important to emphasize what these circle meetings are NOT. They are not classes or lectures. Students are free to walk about and talk.

Source of the Problems:  The majority of problems will come from very diverse sources, old AMC competitions, the Moscow Math Circle Problem book, historical sources (for example Fibonacci's Liber Abaci), etc. A few will be made up by us. Sources will not usually be credited but credits will be revealed upon request, if we know the source.

Registration is FREE!    Register Here for Fall, 2024 Math Circles

Thursday
Sept. 12
10:00 am
SE 215

Crypto Reading Seminar

Join the faculty and students of Cryptography for a biweekly reading seminar on fully homomorphic encryption.

Wednesday
Sept. 18
5:30 p.m.
SE 215

Math Club

Join your friends and other math enthusiasts at FAU's Math Club events!  The purpose of our Club is to improve academic ability, spread awareness of mathematics’ importance, and share a passion for all fields of mathematics!

The club is open to all majors and all math backgrounds. Activities at the club will include:

  • Discussion of mathematics’ applications and importance.
  • Study sessions for mathematical concepts.
  • Group problem solving of math problems from a variety of fields, including set theory, algebra, geometry, topology, and more.
  • Presentation of exciting mathematical research and concepts.
  • Discussions on graduate school and employment

Snacks are always available!  See you there!

Thursday
Sept. 19
10:00 am
SE 215

Crypto Café

Speaker:  Dr. Shi Bai, Associate Professor, Florida Atlantic University      FLYER

Title:  Lattice-based Cryptography: Construction and Analysis

Abstract: Lattice-based Cryptography holds a great promise for post-quantum cryptography.  It enjoys strong security based on the so-called worst-case to average-case redution; relatively efficient implementations, as well as algorithmic simplicity.  In this talk, we will discuss a post-quantum scheme based on lattice; and several algorithms for evaluating the security of average-case/worst-case problems in lattice-based cryptography.  

Video Recording

Saturday
Sept. 21
2:30 pm-4 pm
PS 112

Math Circle at FAU

Welcome to Math Circle!  The main purpose of the circle is to have fun with mathematics while learning something in the process. We will be discussing and solving problems, having friendly competitions, playing mathematical games. The purpose of this circle is to amplify the mathematical knowledge of students who like math, and do it in a fun way, we will also look at some AMC problems, and see how what was seen in the circle applies. We will be meeting every other Saturday, beginning Saturday, September 7, 2024.

It is important to emphasize what these circle meetings are NOT. They are not classes or lectures. Students are free to walk about and talk.

Source of the Problems:  The majority of problems will come from very diverse sources, old AMC competitions, the Moscow Math Circle Problem book, historical sources (for example Fibonacci's Liber Abaci), etc. A few will be made up by us. Sources will not usually be credited but credits will be revealed upon request, if we know the source.

Registration is FREE!    Register Here for Fall, 2024 Math Circles

Thursday
Sept. 26
10:00 am
SE 215

Crypto Reading Seminar

Join the faculty and students of Cryptography for a biweekly reading seminar on fully homomorphic encryption.

Friday
Sept. 27
4:00 pm
SE 215

Association for Women in Mathematics (AWM) FAU's Student Chapter

FAU's Student Chapter of the AWM presents    "An Afternoon Tea Time!"   (flyer)

Please join us for a cup of tea, cookies, and conversation about mathematics.

All are cordially invited!

 

August, 2024

Thursday
August 1
11:00 am
SE 215

Analysis and Algebra Seminar

Speaker:  Parker Edwards, Assistant Professor 

Title: On computing local monodromy (part IV)

Abstract: A fundamental fact about zero sets of systems of polynomial equations over the complex numbers is that they decompose into a finite number of irreducible algebraic subsets. Knowing a thorough description of the irreducible components of an algebraic variety tells you quite a bit about it, and computing one is an essential preprocessing step to many numerical algorithms.  Standard algorithms for computing this numerical irreducible decomposition combine some relatively sophisticated machinery. This week's talk will cover some background on monodromy actions and how they're used to detect irreducible components of algebraic varieties.  A main component is computing the monodromy action of certain linear projection maps using numerical continuation.

What if one is instead interested in studying the geometric properties of an algebraic variety localized at a point? This puts you into the realm of singularity theory in complex analytic geometry, which is a rich and ongoing area of theoretical development. Every zero set of a system of complex-valued analytic functions has a local irreducible decomposition at each point. Computing a corresponding numerical local irreducible decomposition is similarly essential to developing a local approach to numerical algebraic geometry.

I will discuss some recent work with Jon Hauenstein which culminates in an algorithm for doing so. My aim for these seminars is to give a thorough enough overview of the background to understand what the algorithm is doing. If there's interest, we can discuss enough to get at the main ideas of the proof that it works. Here's the breakdown:

  • Background: Algebraic varieties, reducibility, and hyperplane sections
  • Background: Covering maps, branched covers, and monodromy
  • Local monodromy, statement of algorithm, and example results

August, 5-9
9 am-5 pm
Sandbox
(Wimberly Library)

Young CryptograpHers Cybersecurity Summer Camp

Young CryptograpHers is a Cybersecurity summer camp specially designed for high school girls. Participants will be introduced to the fundamental principles of cybersecurity and learn how to apply conceptual knowledge to real-world situations. The camp will focus on Post-Quantum Cryptography, the area of math that is in charge of protecting our information in the era of quantum technology. The program includes lectures and activities by FAU faculty, alumni and speakers from industry and government. Our goal is to motivate and inspire talented students who are interested in a cybersecurity career.    ( flyer )

Regsiter Here!

Thursday
August 22
11:00 am
SE 215

Analysis and Applications

Speaker:  Turgay Bayraktar, Sabanci University (Istanbul)

Title:  Random Real Algebraic Geometry and Random Ameobas

Abstract: Click here