Associate Professor Alexander Fish is affiliated with the School of Mathematics and Statistics at the University of Sydney , where he works in Ergodic Theory and Additive Combinatorics . His research emphasizes connections between ergodic theory, Ramsey theory, and wireless communication systems. He is supported by Australian Research Council (ARC) Discovery Projects DP210100162 and DP240100472. Education : PhD from Hebrew University of Jerusalem (2007), supervised by Hillel Furstenberg. Positions : Zassenhaus Assistant Professor at Ohio State University; Van Vleck Assistant Professor at UW-Madison; Lecturer (2012), Senior Lecturer (2016), and Associate Professor (2021) at Sydney. Research Interests : Fish explores intersections of Ergodic Theory with Additive Combinatorics , focusing on density problems in discrete groups, recurrence, and geometric patterns. His work spans theoretical mathematics and applications in Wireless Communication (e.g., delay-Doppler channel estimation). Publications : Recent articles highlight advancements in ergodic Zd-actions , approximate lattices , and twisted patterns in density subsets. Topics include Ramsey-type theorems, Plünnecke inequalities, and applications to communication technologies .
Po Lam Yung is an Associate Professor and ARC Future Fellow at the Mathematical Sciences Institute of The Australian National University. His research focuses on harmonic analysis, specifically singular integrals, Sobolev embeddings, time-frequency analysis, oscillatory integrals, and Fourier decoupling, with applications to partial differential equations, complex variables, and analytic number theory. He has contributed to sharpening Sobolev space embeddings and developing pseudodifferential calculi for complex variables/CR geometry. His work also explores Stein-Wainger oscillatory integrals and Fourier decoupling inequalities. His recent research includes studies on superorthogonality, discrete restriction estimates for parabolas, and polynomial Carleson operators. Notable collaborations involve projects like decoupling interpretations of Vinogradov's Mean Value Theorem. His ARC Future Fellowship supports work on decoupling inequalities and Bourgain-Brezis inequalities. Yung actively supervises research students in harmonic analysis and related fields. His academic profile includes over 35 publications and 311 citations, with an h-index of 11. Further details are available on his institutional webpage.
Professor Igor Shparlinski is a faculty member at the University of New South Wales (UNSW) within the School of Mathematics & Statistics, holding the rank of Professor with an active research profile as evidenced by publications dated 2025. His work bridges pure number theory and cryptographic applications, maintaining international collaborations with institutions like the University of Sydney and Max Planck Institute. Research interests include: Analytic number theory (exponential/character sums) Cryptographic security (Diffie-Hellman, RSA, and pseudorandom generators) Finite field arithmetic and polynomial dynamics Arithmetic combinatorics and additive number theory Distribution of primes/smooth numbers modulo p Elliptic curve structures over finite fields His publications consistently address foundational problems with computational implications, particularly focusing on sum bounds and modular arithmetic. Recent trends (2023-2025) show intensified work on multilinear character sums, matrix statistics over finite fields, and dynamical system orbits. Key journals include Journal of Number Theory and Finite Fields and their Applications , with frequent co-authorship on exponential sum bounds and cryptographic vulnerabilities. Scientific awards: No awards, prizes, or fellowships are documented in the provided text. Advising and grants: No student listings or grant information appears in the source material. Research output suggests sustained funding but lacks explicit details.
Javier de la Cruz is a Professor at the Department of Mathematics, Universidad del Norte in Barranquilla, Colombia. His research focuses on Coding Theory, Network Coding, and Design Theory, with additional interests in Cryptography, Geometry, Ring Theory, and Representation Theory. He explores advanced topics like Self-Dual Codes, Extremal Codes, and Rank Metric Codes, emphasizing algebraic structures and applications. Recent work includes studies on group codes over finite rings, cryptographic protocols leveraging group rings, and a notable interdisciplinary paper on quantum systems involving trapped bosonic atoms. His contributions bridge theoretical mathematics and applied cryptography, with a strong emphasis on code design and security. No scientific awards are listed in the provided information. No details on advising students or grants are available. Further inquiries can be directed to his email: jdelacruz@uninorte.edu.co .
Marcel Jackson is a Professor at La Trobe University, serving as Associate Dean for Research and Industry Engagement in the School of Computing, Engineering & Mathematical Sciences, and Director of Graduate Research. He holds a BSc (Hons) and PhD from the University of Tasmania. His research focuses on algebra, semigroups, universal algebra, and their intersections with logic, combinatorics, and theoretical computer science. He has led significant grants, including an ARC Future Fellowship and Discovery Project, and co-leads the Research Group in General Algebra and Its Applications. He has served as an editor for journals like Algebra Universalis and Semigroup Forum , and holds roles in professional organizations such as the ARC College of Experts and the Australian Algebra Group. His teaching spans undergraduate to postgraduate levels, including national summer schools. Notable achievements include organizing conferences like GAIA2013 and USMaC2016, and his work on semigroup theory and computational complexity. Key awards include the ARC Future Fellowship and Postdoctoral Research Fellowship. His research has explored topics like finite basis problems, decidability in semigroups, and natural dualities, with over 50 publications. Upcoming engagements include the 2024 Australian Algebra Conference and the Australasian Association for Logic Conference.
Alina Ostafe is an Associate Professor in the School of Mathematics and Statistics at The University of New South Wales (UNSW) in Sydney, Australia. She joined UNSW in 2013 as a Postdoc and has steadily progressed through the academic ranks to her current position as Associate Professor since January 2023. Her research focuses on the intersection of number theory and dynamical systems, with particular emphasis on arithmetic properties of polynomial iterations and Diophantine problems. Dr. Ostafe received her PhD in 2010 from the Institute of Mathematics at the University of Zurich, Switzerland, following an MSc from the University of Bucharest, Romania in 2007. Her academic journey includes postdoctoral positions at both UNSW and Macquarie University before her appointment to the faculty. Her research interests span several interconnected areas within number theory and dynamical systems. She investigates Diophantine problems, polynomials and rational functions over local and global fields, finite fields, and arithmetic statistics of matrices. Within dynamical systems, her work focuses on the arithmetic properties of elements in orbits and algebraic properties of iterates. This research bridges classical number theory with modern dynamical systems theory, yielding insights into the distribution of special points in algebraic dynamical systems. An analysis of her recent publications reveals a strong focus on counting problems in arithmetic statistics, particularly concerning matrices with number-theoretic constraints. Her work frequently examines multiplicative dependence in various contexts, including linear recurrence sequences, rational values modulo finitely generated groups, and superelliptic equations. She also investigates the distribution of special points in dynamical systems, with applications to quantum ergodicity and character sums. Dr. Ostafe has received significant recognition through multiple competitive grants: Australian Research Council Future Fellowship (2026-2029) Multiple Australian Research Council Discovery Projects (2018-2026) UNSW Science Faculty Research Grants (2015-2025) UNSW Start-up Grant (2017) UNSW Vice-Chancellor's Postdoctoral Fellowship (2013-2016) Swiss National Science Foundation Grants (2010-2013) As an advisor, Dr. Ostafe currently supervises PhD student Muhammad Afifurrahman and has mentored several postdoctoral researchers including Subham Bhakta, Kamil Bulinski, Ali Mohammadi, Ayreena Bakhtawar, and Jorge Mello. She is actively involved in the mathematical community through her editorial role at Research in Number Theory and her organization of numerous conferences and seminars, including the Number Theory Web Seminar and the UNSW Number Theory Seminar. Dr. Ostafe is a key organizer of the UNSW Number Theory Seminar, which has been running since 2015, and has co-organized multiple international conferences including workshops at BIRS, MFO, and CIRM. Her leadership in the number theory community extends to her role as co-organizer of the Number Theory Web Seminar, which has built an international platform for researchers in the field.
