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2024-25 Department of Mathematics and Statistics Events

	April, 2025
Thursday April 3 11:00 am SE 215	Analysis and Applications Speaker: Joan Gimeno (Universitat de Barcelona) Title: Computation of Normal Form on Poincaré maps Abstract: I will present a semi-analytical algorithm for computing normal forms in discrete dynamical systems, such as Poincaré maps. The method involves calculating high-order derivatives using jet transport, applying coordinate transformations using composition and reverse operations to simplify the local dynamics around key objects. The method retains resonance terms crucial for understanding the system's behavior. The algorithm is general, requiring only regularity assumptions, and is robust under parameter variations. I will discuss its application to Hamiltonian systems, with a focus on elliptic fixed points of a time flow map. Using normal form computations, I will construct high-dimensional twist maps and introduce a frequency recovery technique for visualizing high-dimensional tori within the discrete map. To illustrate the practical utility of the method, I will apply it to the spatial Restricted Three-Body Problem (R3BP), demonstrating how these techniques can be used to gain insight into complex orbital dynamics near L4. The talk will include detailed examples, computational aspects of the method, and a discussion of its broader applications. This has been a joint work with À. Jorba, M. Jorba-Cuscó, and M. Zou.
Sunday April 6 9:00-3:30	Association for Women in Mathematics (AWM) FAU's Student Chapter FLORIDA WOMEN IN MATH DAY AWM is excited to invite you to join us at the Florida Women in Math Day on April, 06^th! At the event will be research talks, poster presentations, working group discussions, and more! People of all genders, backgrounds, and ages are welcome to attend and present. Lunch and refreshments are provided. *FLYER*
Monday April 7 4:00 pm SE 215	The FAU SIAM (Society for Industrial and Applied Mathematics) Student Chapter Speaker: Ganesh Shiwakoti TItle: TBA
Tuesday April 8 5:30-6:30 pm 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 April 10 10:00 am SE 215	Crypto Café Speaker : Maryam Taghi Zadeh (FAU) Title: Post-Quantum Hash-Based Digital Signature Scheme: XMSS with SHA-2 and SHA-3 Hash Functions FLYER Abstract: This talk presents a comprehensive investigation of the eXtended Merkle Signature Scheme (XMSS) implemented with both SHA-2 and SHA-3 hash function families as specified in FIPS 202 and RFC 8391. XMSS is a stateful hash-based digital signature scheme that provides post-quantum security guarantees, making it a critical consideration amid growing quantum computing threats to conventional public-key cryptography. The SHA-2 and SHA-3 hash function families exhibit distinct security characteristics when integrated into XMSS implementations. This research evaluates their comparative performance metrics, security properties, and implementation considerations within the XMSS framework. We analyze the practical implications of various parameter sets as defined in RFC 8391, specifically examining tree height and Winternitz parameter selections and their effects on signature size, generation time, and verification efficiency. Our work demonstrates the viability of both hash function families within XMSS while highlighting their specific trade-offs. The SHA-3 implementation, based on the Keccak algorithm standardized in FIPS 202, provides superior resistance against side-channel attacks and length extension vulnerabilities compared to SHA-2, while exhibiting different performance characteristics. We present empirical data on computational efficiency across multiple platforms and address the state management challenges inherent to stateful signature schemes like XMSS. This research contributes to ongoing standardization efforts for post-quantum cryptographic primitives and provides practical insights for organizations preparing for the transition to quantum-resistant signature schemes. Keywords: Post-Quantum Cryptography, Hash-Based Signatures, XMSS, SHA-2, SHA-3, Digital Signatures, Cryptographic Implementation
Tuesday April 15 5:30-6:30 pm 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!
Tuesday April 22 5:30-6:30 pm 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!
Tuesday April 29 5:30-6:30 pm 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!
	August, 2025
August, 4-8 9 am-5 pm Sandbox (Wimberly Library)	CryptoTeens in South Florida summer camp is a five - day camp for high-school students who want to discover the technology and the science behind cryptography. Participants will be introduced to the fundamental principles of c ryptography 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 stimulating lectures, inspiring talks by alumni and speakers from industry and government , and engaging exercise sessions.

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