2024-25 Department of Mathematics and Statistics Events |
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November, 2024 |
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Saturday |
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 |
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Wednesday |
AMC-10/12 A A contest for High School Students Registration is now open. Please visit: https://math.fau.edu/amc-contests/am-math-comp.php |
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Thursday |
Crypto Reading Seminar Join the faculty and students of Cryptography for a biweekly reading seminar on fully homomorphic encryption. |
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Tuesday |
AMC-10/12 B A contest for High School Students Registration is now open. Please visit: https://math.fau.edu/amc-contests/am-math-comp.php |
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Wednesday |
Speaker: Nicole Abreu, MS Candidate, Florida Atlantic University Title: Topological Machine Learning with Unreduced Persistence Diagrams Advisor: Dr. Francis Motta Co-Advisor: Dr. Parker Edwards Abstract: A common topological data analysis approach used in the experimental sciences involves creating machine learning pipelines that incorporate discriminating topological features derived from persistent homology (PH) of data samples, encoded in persistence diagrams (PDs) and associated topological feature vectors. Often the most computationally demanding step is computing PH through an algorithmic process known as boundary matrix reduction. In this work, we introduce several methods to generate topological feature vectors from unreduced boundary matrices. We compared the performance of classifiers trained on vectorizations of unreduced PDs to vectorizations of fully reduced PDs across several benchmark ML datasets. We discovered that models trained on PDs built from unreduced diagrams can perform on par and even outperform those trained on full-reduced diagrams. This observation suggests that machine learning pipelines which incorporate topology-based features may benefit in terms of computational cost and performance by utilizing information contained in unreduced boundary matrices. A common topological data analysis approach used in the experimental sciences involves creating machine learning pipelines that incorporate discriminating topological features derived from persistent homology (PH) of data samples, encoded in persistence diagrams (PDs) and associated topological feature vectors. Often the most computationally demanding step is computing PH through an algorithmic process known as boundary matrix reduction. In this work, we introduce several methods to generate topological feature vectors from unreduced boundary matrices. We compared the performance of classifiers trained on vectorizations of unreduced PDs to vectorizations of fully reduced PDs across several benchmark ML datasets. We discovered that models trained on PDs built from unreduced diagrams can perform on par and even outperform those trained on full-reduced diagrams. This observation suggests that machine learning pipelines which incorporate topology-based features may benefit in terms of computational cost and performance by utilizing information contained in unreduced boundary matrices. Please contact Dr. Hongwei Long <hlong@fau.edu> for an electronic copy of the thesis. All are cordially invited. |
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Wednesday |
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:
Snacks are always available! See you there! |
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Thursday |
Crypto Café Speaker: Merey Sarsengeldin, Visiting Scholar, Department of Mathematics, University of Central Florida FLYER Title: Variational Quantum Neural Network for modeling and solving Heat and Mass transfer problems. Abstract: In this study we present a hybrid quantum-classical neural network (Variational Quantum Algorithm) to model and solve heat and mass transfer problems. The underlying PDEs responsible for modeling diverse phenomena are Stefan Type Problems. These problems are nonlinear where along with the unknown temperature function unknown boundary or flux function has to be determined. This kind of Free Boundary Value Problems are hard to solve analytically. To solve such kind problems analytically and numerically, we benefit from computational power of Quantum Computing and utilize neural networks as a universal function approximator to find the Heat function and Moving Phase boundary. On the basis of the Variational Quantum Neural Network, we have developed methodological framework and software artifact which might be of interest and beneficial for researchers and engineers working in the field of modeling Heat and Mass transfer phenomena. |
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Saturday |
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 |
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Monday |
PhD Dissertation Defense Speaker: Emrah Karagoz, PhD Candidate Title: An Investigation on Practical Aspects of Post-Quantum Cryptography Advisor: Dr. Edoardo Persichetti Co-advisor: Dr. Koray Karabina Abstract: The security of the current public-key cryptographic schemes, based on integer factorization and discrete logarithm problems, is expected to be totally broken with the development of quantum computers utilizing Shor's algorithm. As a result, The National Institute of Standards and Technology (NIST) initiated the Post-Quantum Cryptography (PQC) standardization process in 2016, inviting researchers to submit candidate algorithms that are both resistant to quantum attacks and efficient for real-world applications. Researchers have since studied various different aspects of the candidate algorithms, such as their security against quantum attacks and their efficient implementation on different platforms. In this thesis, we investigate the practical aspects of Post-Quantum Cryptography and contribute to several topics. First, we focus on the knapsack problem and its security under classical and quantum attacks. Second, we improve the secure biometric template generation algorithm NTTSec, proposing an enhanced version, NTTSecR, and providing an in-depth design and security analysis. Third, we work on optimizing implementations of the post-quantum secure signature scheme LESS and polynomial inversion algorithms for code-based schemes. Finally, we analyze a proposed countermeasure for the exposure model of SIKE, the isogeny-based scheme that was a candidate in NIST’s Round 4. All are cordially invited. |
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Thursday |
Crypto Reading Seminar Join the faculty and students of Cryptography for a biweekly reading seminar on fully homomorphic encryption. |
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Monday |
MS Exam Speaker: Jia Wei Chen, Master's of Science degree candidate, Florida Atlantic University Title: Computation of VaR in Large Complex Portfolios: Saddle-point Approximation Method Abstract: The presentation explores an improvement in terms of computational efficiency for calculating Value-at-Risk (VaR) in large complex portfolios evaluated by nonlinear return functions (e.g. when security derivatives are held in the portfolio). One approach is to use Monte Carlo simulation to estimate VaR which is computationally expensive for portfolios with large size of underlying assets. Even when the return function is approximated by taking the second order Taylor expansion (delta-gamma approximation), the computation of Monte Carlo simulation can be still very demanding. To overcome this challenge, Feuerverger and Wong proposed an approximation technique, leveraging the delta-gamma framework to model both linear and nonlinear sensitivities within the portfolio. In this presentation, we will break down the delta-gamma and saddle-point approximations, explain how the saddle-point approximations are used, and highlight the advantages of this approach over Monte Carlo simulation. All are cordially invited. |
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Wednesday |
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:
Snacks are always available! See you there! |
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Saturday |
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 |
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December, 2024 |
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Thursday |
Crypto Reading Seminar Join the faculty and students of Cryptography for a biweekly reading seminar on fully homomorphic encryption. |
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Monday |
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:
Snacks are always available! See you there! |
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Saturday |
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 |
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January, 2025 |
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Saturday |
AMC8 Middle School Math Day Registration is now open! Please visit: https://math.fau.edu/amc-contests/amc8.php |
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February, 2025 |
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Saturday
February 8 |
High School Math Day |
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Feb. 24 |
Florida GeoGebra Conference Registration link: https://fau.az1.qualtrics.com/jfe/form/SV_0cguWFiDo2UO2pg Description: Florida GeoGebra Conference February 24, 2025 Join us for an interactive workshop designed for STEM educators seeking to enhance their teaching of mathematics through the innovative use of GeoGebra. GeoGebra is a dynamic mathematics software that integrates geometry, algebra, spreadsheets, graphing, statistics, and calculus. In this workshop, we will explore how to leverage GeoGebra to create engaging and effective learning experiences in your STEM classroom. Workshop Highlights:
Who Should Attend:
Coffee and lunch will be provided! For more information, please contact: Dr. Katarzyna Winkowska-Nowak, Director of MST |
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March, 2025 |
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March 3-7 |
56th Southeastern International Conference on Combinatorics, Graph Theory, and Computing Celebrating its 56th year, the Conference brings together mathematicians and others interested in combinatorics, graph theory, and computing, and their interactions. The Conference lectures and contributed papers, as well as the opportunities for informal conversations, have proven to be of great interest to other scientists and analysts employing these mathematical sciences in their professional work in business, industry, and government. The Conference continues to promote a better understanding of the roles of modern applied mathematics, combinatorics, and computer science to acquaint the investigator in each of these areas with the various techniques and algorithms, which are available to assist in his or her research. Each discipline has contributed greatly to the others, and the purpose of the Conference is to decrease even further the gaps between the fields. |
