2024-25 Department of Mathematics and Statistics Events |
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October, 2024 |
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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: Dr. Veronika Kuchta, Assistant Professor, Florida Atlantic University FLYER Title: Proximity gaps for Reed-Solomon Codes and their Application in Interactive Oracle Proofs of Proximity and ZK-SNARKs Abstract: Reed-Solomon codes have long been a fundamental tool of error correction and data integrity, but their applications extend far beyond traditional coding theory. In this talk, I will explore the concept of proximity gaps within Reed-Solomon codes—specific measures of how far a received word is from the closest codeword—and their critical role in the design and analysis of advanced cryptographic protocols, such as Zero-Knowledge Succinct Non-Interactive Arguments of Knowledge (ZK-SNARKs) and Interactive Oracle Proofs of Proximity (IOPPs). Join by +Zoom (click here) |
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Thursday |
Analysis and Applications Speaker: Professor Tomas Schonbek, Florida Atlantic University Title: The Helmholtz decomposition Mini-abstract: I will discuss the Helmholtz decomposition of a vector field into a gradient and a divergence free vector field, a fundamental tool in fluid dynamics, and give my take on the proof. |
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Friday |
Math Colloqium Speaker: Sri Namachchivaya, Professor, University of Waterloo Title: Random and Data Driven Dynamical Systems Abstract: I will present a general overview of several engineered and natural systems with uncertain mathematical models, the multidisciplinary methods required for their analysis, and relevant results. The collection of new mathematical techniques that I will describe lies at the confluence of three important areas: dynamical systems; control and estimation (data assimilation); and information theory. The first part of the talk focuses on the challenges in data assimilation that arise from the interactions between uncertainties, nonlinearities, and observations. I will present rigorous reduced-order data assimilation techniques for high dimensional multi-scale problems. In particular, I will outline how scaling interacts with filtering via stochastic averaging. Optimal sensor placement based on information theoretic concepts will also be discussed. The second part of the talk deals with the almost-sure stability of a noisy nonlinear autoparametric system. This work brings together two interesting themes in dynamical systems — resonances and Lyapunov exponents. The subtleties of their interactions are explored in a canonical way by combining the ideas from dynamical systems and the Oseledets multiplicative ergodic theory. — Joint work with Peter H. Baxendale (USC), Ryne Beeson (Princeton) and Nicolas Perkowski (Free University of Berlin). This talk is dedicated to the memory of the late Professor Yukweng Michael Lin, formerly Charles E. Schmidt Eminent Scholar Chair in Engineering and the Founding Director of FAU Center for Applied Stochastics Research, who was for more than 50 years a leading figure in stochastic and engineering mechanics. Refreshments including brownies cookies and coffee will be served! All are welcome! |
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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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Thursday |
Crypto Reading Seminar Join the faculty and students of Cryptography for a biweekly reading seminar on fully homomorphic encryption. |
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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: Ruslan Ospanov, Eurasian National University, Kazakhstan Title: The MCDM-RL-based Framework for Consensus Protocol Selection for IoT networks. Abstract: This topic is a part of my PhD research topic: “Design and analysis of cryptographic algorithms and protocols for solving the problem of consensus in distributed ledger technologies”. Reinforcement learning (RL) has played a key role in the rapid development of artificial intelligence technologies that has been observed over the past decade. Reinforcement learning methods have shown impressive results in a range of fields. Specifically, RL is widely applied in robotics, control systems, and the Internet of Things (IoT) to address challenges in automation, optimization, and the management of complex systems. The IoT is also a major area for the implementation of distributed ledger and blockchain technologies, which provide effective solutions to overcome the limitations of conventional IoT applications. A key element of the distributed ledger reference architecture is the consensus layer, which handles agreement among network nodes, ensuring the ledger’s state remains consistent while maintaining data security, accuracy, and protection. The selection of a consensus protocol plays a crucial role in determining the performance and security of the blockchain system. This talk is devoted to the issue of selection a blockchain consensus protocol for IoT networks using the combined application of multi-criteria decision making (MCDM) and reinforcement learning (RL) methods. In this talk, I will consider an idea of integration multi-criteria decision making and reinforcement learning methods to blockchain consensus protocol selection for IoT. It proposes a combined consensus protocol selection and management system for IoT networks based on the multi-criteria decision making method and reinforcement learning. Bio: Ruslan Ospanov has been engaged in scientific and educational activities in the field of mathematics and cryptography for more than 20 years, has dozens of scientific and scientific-methodological works, as well as several copyright certificates from Qazpatent (National Institute of Intellectual Property of the Ministry of Justice of the Republic of Kazakhstan (NIIP)). He worked as a teacher in various universities of Kazakhstan (Karaganda State University named after academician E.A. Buketov, L.N. Gumilyov Eurasian National University and other). He is also a research fellow at the Research Institute of Information Security and Cryptology of L.N. Gumilyov Eurasian National University. Since September 2022, he has been a doctoral student at the Eurasian National University named after L.N. Gumilyov, specializing in Information Security Systems. |
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Thursday |
Analysis and Applications Speaker: Jorge Gonzalez, Florida Atlantic University Title: Validated enclosure of renormalization fixed points Abstract: I will discuss recent work with Maxime Breden and Jason Mireles James where we develop a framework for proving existence, uniqueness, and stability results for real analytic fixed points of m-th order Feigenbaum-Cvitanović renormalization operators. The universality properties associated to the fixed points, first discovered by Feigenbaum for m=2 in the context of population dynamics, in general describe different routes to chaotic behavior in multiple contexts in Mathematics and the physical sciences. We obtain general formulas for the Jacobian of the mth order operator and use Chebyshev expansions to approximate the fixed points. The advantage of Chebyshev series is that they are naturally adapted to spaces of real analytic functions, in the sense that they converge on ellipses containing real intervals. We prove the existence of multiple renormalization fixed points of order m = 3, . . . , 10, and compute validated bounds on the values of their universal constants. We also reprove the existence of the classical m = 2 Feigenbaum renormalization fixed point and compute its universal constants to about 500 correct decimal digits. Preprint on arxiv: https://arxiv.org/pdf/2409.20457 |
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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 |
Analysis and Applications Speaker: Joseph Cummings (Notre Dame - Applied and Computational Mathematics & Statistics) Title: Algebraic Invariants of Level-1 Phylogenetic Networks Abstract: Algebraic techniques in phylogenetics have historically been successful at proving identifiability results and have also led to novel reconstruction algorithms. In this talk, we will find a Gröbner basis for the ideal of phylogenetic invariants of the Cavender-Farris-Neyman (CFN) model on level-1 phylogenetic networks, that is the vanishing ideal of the set of all possible probability distributions on the leaves arising from the model. We will show that the vanishing ideal can be completely determined by analyzing the covariance matrix instead of the whole probability distribution. Moreover, we will show that the ideal is cut out by 2 x 2 and 3 x 3 minors of the covariance matrix which can be determined from the topology of the network. This research is joint with Elizabeth Gross, Ben Hollering, Sam Martin, and Ikenna Nometa. |
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Wednesday |
Crypto Seminar at New College Speaker: Edoardo Persichetti, Associate Professor, Florida Atlantic University Title: On Digital Signatures from Cryptographic Group Actions” Abstract: Cryptography based on group actions has been studied since 1990. In recent years, however, the area has seen a revival, partially due to its role in post-quantum cryptography. In this work, we present a unified taxonomy of a variety of techniques used to design digital signature schemes. We describe all techniques in a single fashion, show how they impact the performance of the resulting protocols and analyse in detail how different techniques can be combined for optimal performance. Everyone welcome! Seminar Loctiion: New College of Florida, Sarasota Zoom link https://ncf.zoom.us/j/92611790452?pwd=7QQ4l7n2NLhlU9qDjOWBnUugdjNW5u.1 |
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Thursday |
Crypto Reading Seminar Join the faculty and students of Cryptography for a biweekly reading seminar on fully homomorphic encryption. The following paper will be discussed: |
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Thursday |
Analysis and Applications Analysis and Applications Speaker: Jorge Gonzalez, Florida Atlantic University Title: Validated enclosure of renormalization fixed points Abstract: I will discuss recent work with Maxime Breden and Jason Mireles James where we develop a framework for proving existence, uniqueness, and stability results for real analytic fixed points of m-th order Feigenbaum-Cvitanović renormalization operators. The universality properties associated to the fixed points, first discovered by Feigenbaum for m=2 in the context of population dynamics, in general describe different routes to chaotic behavior in multiple contexts in Mathematics and the physical sciences. We obtain general formulas for the Jacobian of the mth order operator and use Chebyshev expansions to approximate the fixed points. The advantage of Chebyshev series is that they are naturally adapted to spaces of real analytic functions, in the sense that they converge on ellipses containing real intervals. We prove the existence of multiple renormalization fixed points of order m = 3, . . . , 10, and compute validated bounds on the values of their universal constants. We also reprove the existence of the classical m = 2 Feigenbaum renormalization fixed point and compute its universal constants to about 500 correct decimal digits. Preprint on arxiv: https://arxiv.org/pdf/2409.20457 |
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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: TBA FLYER Title: TBA Abstract: TBA Join by +Zoom (click here) |
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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 |
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: TBA FLYER Title: TBA Abstract: TBA Join by +Zoom (click here) |
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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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Thursday |
Crypto Reading Seminar Join the faculty and students of Cryptography for a biweekly reading seminar on fully homomorphic encryption. |
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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. |
