2024-25 Department of Mathematics and Statistics Events |
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April, 2025 |
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Thursday |
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. |
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Sunday |
Association for Women in Mathematics (AWM) FAU's Student Chapter
FLORIDA WOMEN IN MATH DAY
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Monday |
The FAU SIAM (Society for Industrial and Applied Mathematics) Student Chapter Speaker: Ganesh Shiwakoti TItle: TBA |
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Tuesday |
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 |
Speaker : Maryam Taghi Zadeh (FAU) +Zoom (click here) 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 |
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Thursday |
Analysis and Applications Speaker: Francis Motta, Ph.D., Florida Atlantic University Title: Generalized Measures of Population Synchrony with Applications to Plasmodium Dynamics Abstract: Synchronized behavior among individuals is a ubiquitous feature of populations. Understanding mechanisms of (de)synchronization demands meaningful, interpretable, computable quantifications of synchrony, relevant to measurements that can be made of complex, dynamic populations. Despite the importance to analyzing and modeling populations, existing notions of synchrony often lack rigorous definitions, may be specialized to a particular experimental system and/or measurement, or may have undesirable properties that limit their utility. In this talk, I will discuss a recently proposed notion of synchrony for populations of individuals occupying a compact metric space that depends on the Fr\'{e}chet variance of the distribution of individuals across the space. I will discuss several fundamental and desirable mathematical properties of this synchrony measure, including continuity, invariance to metric scaling, and a general approximation result that controls the disparity between synchrony in the true space and synchrony observed through discretization of the state space. Finally, I will highlight the utility and computability of this synchrony measure for various measurement types in a variety of state spaces and discuss the immediate applications to studies concerning the dynamics of the intraerythrocytic developmental cycles of Plasmodium parasites, the causative agent of malaria infections. |
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Tuesday |
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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Friday |
American Mathematical Society (FAU's student Chapter) to host a Graduate Student Seminar Speaker: Hansraj Jangir, Florida Atlantic Univesity Title: Compact encryption from Module NTRU Abstract: The Module-NTRU problem, introduced by Cheon, Kim, Kim, Son (IACR ePrint 2019/1468), and Chuengsatiansup, Prest, Stehlé, Wallet, Xagawa (ASIACCS ’20), generalizes the versatile NTRU assumption. One of its main advantages lies in its ability to offer greater flexibility on parameters, such as the underlying ring dimension. In this talk, I will present several lattice-based encryption schemes, which are IND-CPA (or OW-CPA) secure in the standard model based on the Module-NTRU and Module-LWE problems. Our first encryption scheme is based on the Module-NTRU assumption, which uses the determinant of the secret matrix over the underlying ring for the decryption. Our second scheme is an analogue to the Module-LWE encryption scheme, but uses only a matrix as the public key, based on a vectorial variant of the Module-NTRU problem. Please come grab some food and coffee (otherwise I won’t know what to do with it all) and support your fellow graduate students! |
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Tuesday |
Ph.D. Preliminary Proposal Speaker: Yuganthi Liyanage |
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Tuesday |
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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Tuesday |
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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May, 2025 |
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May 9-11 |
Conference on Ordered Algebraic Structures Wilkes Honors College If interested in presenting a talk, please contact Papiya Bhattacharjee. For information, program schedule and abstracts, please visit: Conference on Ordered Algebraic Structures OAL 2025 |
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August, 2025 |
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August, 4-8 |
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. |
