2023-24 Department of Mathematics Events



 

December 2023

Friday
Dec. 1
4:00 pm
SE 215

Analysis and Applications Seminar

Speaker:  Taylor Brysiewicz, University of Western Ontario

Title: Algebraic Matroids, Monodromy, and the Heron Variety

Abstract: Heron's formula gives the area of a triangle in terms of the lengths of its sides. More generally, the volume of any simplex is determined by its edge-lengths via a Cayley-Menger determinant.
In work-in-progress with Seth Asante and Michelle Hatzel, we ask *Which other sets of volumes of faces of an n-simplex, when known, determine the remaining unknown face-volumes?*.
An answer to this question is encoded in the algebraic matroid of the Heron variety. Moreover, we ask *When are these unknown volumes recoverable via formulae in the known volumes?*
We answer these questions for n<5 by combining techniques in computational group theory, computer algebra, field theory, and numerical algebraic geometry. Of particular focus is the problem of recovering the 10 edge lengths of a 4-simplex from its 10 triangular face areas, a problem motivated by applications in theoretical physics.

Saturday
Dec. 2
2:30-4 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 23, 2023.

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, 2023 Math Circles

Monday
Dec. 4
5:30 pm
SE 215

FAU 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!

Tuesday
Dec. 5
10:00 am
SE 215
Zoom

Crypto Café

Speaker:  Dominic Gold, Florida Atlantic University

Title: TDA-Preprocessing Yields Quantifiable Efficiency Gains in Privacy-Preserving ML Models 

Abstract: Computational tools grounded in algebraic topology, known collectively as topological data analysis (TDA), have been used for dimensionality-reduction to preserve salient and discriminating features in data. TDA's flagship method, persistent homology (PH), extracts distinguishing shape characteristics from the data directly and provide inherent noise-tolerance and compact, interpretable representations of high-dimensional data that are amenable to well-established statistical methods and machine learning (ML) models; this faithful but compressed representation of data motivates TDA's use to address the complexity, depth, and inefficiency issues present in privacy-preserving, homomorphic encryption (HE)-based ML models through ciphertext packing---the process of packing multiple encrypted observations into a single ciphertext for Single Instruction, Multiple Data (SIMD) operations.

By investigating several TDA featurization techniques on the MNIST digits dataset using a logistic regression (LR) classifier, we demonstrated that the TDA methods chosen improves encrypted model evaluation with a 10-25 fold reduction in amortized time while improving model accuracy up to 1.4% compared to naive reductions that used downscaling/resizing. The developed technique also has implications for multiclass classification by sending multiple model classifications in a single packed ciphertext to reduce the communication overhead between the Client and Server, potentially avoiding restriction to a binary classification (as done in past HE-ML literature for secure classification of MNIST digits).

Biography: Dominic Gold is a 6th-year graduate teaching assistant at Florida Atlantic University who studies both cryptography and data science, with his main interest in secure/privacy-preserving machine learning on encrypted data. The intersectionality of his research in homomorphic encryption and topological data analysis shows promising implications for research in both fields, with his work in cryptography recognized by venues such as USENIX and ACM CCS. The ultimate goal of his work is to enable real-time predictions on encrypted biomedical data to improve both the reliability, security, and equitability of healthcare systems.

Zoom (click here)

Meeting ID: 878 9825 0483       Passcode: gHJF6g

All are cordially invited.

Saturday
Dec. 16
2:30-4 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 23, 2023.

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, 2023 Math Circles

 

January 2024

Mon.-Wed.
Jan. 8-10
8:00 am
Bahia Mar,
Ft. Lauderdale

The International Symposium on Artificial Intelligence and Mathematics (ISAIM, 2024) & International Workshop on Combinatorial Image Analysis (IWCIA'24)

Register Here!

Saturday
Jan. 20
9:00 am

American Mathematics Competition - Middle School Students

The AMC8-Middle School Math Day will be held at FAU
For More Information and to REGISTER, CLICK HERE!

 

March 2024

March 4-8
Student Union

Fifty-fifth Southeastern International Conference on Combinatorics, Graph Theory, and Computing

Register here!   If you are an FAU Student or Faculty member, please contact Dr. Maria Provost: mprovost@fau.edu

 

View Events from 2023-24 Academic Year Here

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View Events from 2020-21 Academic Year Here

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