جستجوی استاد راهنمای دانشگاهی

• Number Theory
• Representation Theory
• Group Theory
• +۳ مورد دیگر

Uri Onn is a Professor at the Mathematical Sciences Institute of the Australian National University (ANU). His research focuses on advanced algebraic structures, including zeta functions, arithmetic groups, and representation theory. He contributes to the understanding of nilpotent groups, valuation rings, and Lie algebras through rigorous mathematical frameworks. Research Interests: Dr. Onn’s work spans number theory, group theory, and algebraic geometry, with a particular emphasis on zeta functions, arithmetic groups, and representation growth. His studies explore the interplay between algebraic structures and their applications in modern mathematics. Key Research Trends: His articles address topics like zeta functions in nilpotent groups, representation theory over finite rings, and the behavior of arithmetic groups under base change. These contributions advance foundational knowledge in abstract algebra and number theory. Grants and Projects: He leads projects such as the Geometry of Character Varieties (2025–2028) and Representations of Arithmetic Groups (2017–2023), focusing on algebraic and geometric representations.

• Arithmetic Algebraic Geometry
• Algebraic Number Theory
• Modular Forms
• +۳ مورد دیگر

John Voight is a Professor in the School of Mathematics and Statistics at the University of Sydney, where he is also a member of the Algebra and Computational Algebra groups. His research focuses on arithmetic algebraic geometry, modular forms, and computational number theory. He collaborates with the Magma computational algebra system development team and contributes to databases like the LMFDB. Affiliations: University of Sydney (2024–present), Dartmouth College (2007–2024), University of Vermont (2007–2013). Key research interests include modular curves, Shimura varieties, elliptic curves, and abelian varieties. He explores algorithmic methods for computing with algebraic structures, such as quaternion algebras and ideal class groups. Publications span over 90 articles, including works on Hilbert modular forms, Belyi maps, and paramodular varieties. Notable achievements include the Selfridge Prize (2010 and 2018) and Simons Foundation grants. He advises numerous PhD students and has contributed to major projects like the LMFDB, advancing computational tools for number theory.

• Cryptography
• Elliptic Curves
• Post-Quantum Cryptography
• +۱ مورد دیگر

Dr. Huseyin Hisil is a Lecturer in Cryptography at the University of Wollongong's School of Computing and Information Technology. His research focuses on asymmetric cryptosystems, including elliptic curve cryptography, hyperelliptic curves, and post-quantum cryptographic solutions. He develops optimized algorithms for multiprecision arithmetic and finite field operations. Recent publications address efficient elliptic curve arithmetic using Karatsuba-friendly primes and Jacobian coordinate systems for genus 2 curves. His work bridges computational number theory with practical cryptographic implementations, enhancing security and performance in next-generation systems. He teaches undergraduate courses including Introduction to Web Technology (CSIT128) and Web Development (CSIT884), while coordinating Professional Capstone Projects (CSIT998). His research group explores cryptographic pairings and algebraic structures relevant to quantum-resistant protocols.

Alexander Fishمشاهده پروفایل

دانشیار

• Ergodic Theory
• Additive Combinatorics
• Wireless Communication
• +۴ مورد دیگر

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 .

• Integrable Systems
• Dynamical Systems
• Algebraic Geometry
• +۹ مورد دیگر

Milena Radnovic is an Associate Professor at the University of Sydney, affiliated with the Faculty of Science. She holds a PhD in Mathematics (2003, University of Belgrade) and serves as an Associate Research Professor at the Mathematical Institute SANU in Serbia, currently on leave. Her work bridges Geometry of Integrable Dynamical Systems , with a focus on mathematical billiards, algebraic curves, and Painlevé equations. Education: PhD in Mathematics (University of Belgrade, 2003) Her research explores the interplay between Integrable Systems and Algebraic Geometry , particularly elliptical billiards , confocal quadrics , and extremal polynomials . Recent work spans higher-dimensional billiards, pseudo-Euclidean spaces, and arithmetic dynamics. Publications highlight collaborations with Vladimir Dragovic, Nalini Joshi, and others, emphasizing periodic trajectories and topological invariants. Her 15 most recent articles (2025–2019) reveal trends in Integrable Billiards , Elliptical Dynamics , and Painlevé Asymptotics . Notably, she co-authored works on Yang-Baxter equations , quantum billiards , and relativistic quadrics . Despite no listed awards, her Australian Research Council (ARC) grants underscore institutional recognition. She supervises PhD student Harry HIATT and collaborates internationally, including institutions in Israel, Italy, Senegal, and the U.S.

David Harveyمشاهده پروفایل

استاد

• Computational Number Theory
• Arithmetic Geometry
• Fast Polynomial Arithmetic
• +۳ مورد دیگر

Professor David Harvey is a faculty member at the School of Mathematics and Statistics within the University of New South Wales (UNSW), where he has held positions ranging from Courant Instructor to his current professorship. He is also a Fellow of the Australian Mathematical Society . Ph.D. in Mathematics (Harvard University, 2008) B.Sc. in Mathematics with First Class Honours and University Medal (UNSW, 2002) Harvey's research focuses on computational number theory and arithmetic geometry , with emphasis on fast polynomial and integer arithmetic algorithms. His work includes groundbreaking advancements in O(n log n) complexity for integer multiplication, leveraging techniques such as Fast Fourier Transforms , lattice reduction , and p-adic cohomology for zeta function computations. His publications from 2018–2024 demonstrate expertise in algorithm design for problems in number theory , algebraic geometry , and cryptography , with recurring themes of computational efficiency , finite field arithmetic , and polynomial operations . 2022 N.G. de Bruijn Medal (shared) 2019 Australian Mathematical Society Medal 2016 Journal of Complexity Best Paper Award Harvey has led significant research grants including the ARC Future Fellowship (2017–2021) and the ARC Discovery Project , focusing on zeta function algorithms and point-counting on algebraic surfaces . He co-organizes the UNSW Number Theory Seminar.

Warwick Tuckerمشاهده پروفایل

استاد

• Dynamical Systems
• Chaos Theory
• Computer-Assisted Proofs
• +۳ مورد دیگر

Warwick Tucker is a Professor in the School of Mathematics at Monash University. He holds a PhD in Mathematics from Uppsala University (1998) and a Docent qualification (2004). His research focuses on dynamical systems, chaos theory, and computer-assisted proofs with applications to complex systems and artificial intelligence. Key contributions include rigorous analysis of the Lorenz attractor, validation of numerical methods for differential equations, and studies on Julia sets and celestial mechanics. He leads a major project on non-hyperbolic dynamics funded until 2026. Notable awards include the EMS Prize (2004) and Moore Prize (2002). Collaborations span global institutions including École Normale Supérieure de Lyon. His work bridges pure mathematics with computational tools, emphasizing algorithmic proof techniques and validated numerical analysis.

John A G Robertsمشاهده پروفایل

استاد

• Nonlinear dynamical systems
• Integrable dynamical systems
• Symmetry and Time-reversal symmetry
• +۳ مورد دیگر

John A G Roberts is a Professor and Deputy Head of the School of Mathematics and Statistics at the University of New South Wales (UNSW), Sydney. He serves as Chief Investigator of the ARC Centre of Excellence MASCOS and is Vice-President of the Australian Mathematical Society. His academic career spans several decades with significant contributions to nonlinear dynamical systems research. Roberts' research primarily focuses on nonlinear dynamical systems, with particular expertise in integrable dynamical systems, symmetry and time-reversal properties, and algebraic dynamics. His work bridges pure mathematics with applications in mathematical physics, exploring the deep connections between arithmetic properties and dynamical behavior. He has developed novel approaches to understanding integrability through algebraic and arithmetic methods, particularly in the context of discrete systems. Analysis of his recent publications reveals a strong emphasis on algebraic entropy, lattice equations, and the arithmetic structure of dynamical systems over finite fields. His work demonstrates consistent innovation in applying number-theoretic methods to dynamical problems, with a particular focus on symmetry properties and integrability criteria for discrete systems. The interdisciplinary nature of his research connects mathematical physics, algebraic geometry, and computational mathematics. Chief Investigator of the ARC Centre of Excellence MASCOS Vice-President of the Australian Mathematical Society Roberts actively supervises PhD students and has collaborated with numerous research associates including Dinh Tran, Alina Ostafe, Natascha Neumaerker, and Danesh Jogia. He has organized several major conferences including the Workshop on Algebraic, Number Theoretic and Graph Theoretic Aspects of Dynamical Systems (Sydney, 2015) and Dynamics Days Asia Pacific 6 (Sydney, 2010), demonstrating his leadership in the international dynamical systems community. His research program maintains strong connections with institutions worldwide, particularly with collaborators in Europe and North America.

• Number Theory
• Cryptography
• Finite Fields
• +۴ مورد دیگر

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.

• Computer Vision
• Machine Learning
• Image Processing
• +۴ مورد دیگر

Adjunct Professor Shuai Wan is affiliated with the School of Engineering at RMIT University (City Campus, Australia). His research focuses on computer vision, machine learning, 3D point cloud compression, neural video coding, and remote sensing . Key contributions include lightweight deep learning frameworks for image/video compression, spatio-temporal context models for point clouds, and adaptive quantization techniques. Research Outputs Insights : Wan’s work spans 2024–2025 , emphasizing end-to-end deep learning solutions for challenges in Exemplar-based colorization with semantic attention Rendering-oriented 3D point cloud compression Slimmable video codecs with variable bitrate G-PCC standard enhancements for quantization and entropy coding Adversarial example detection in remote sensing Technical Domains : His articles intersect artificial intelligence, signal processing, and computer graphics , with applications in cloud gaming, SAR systems, and industrial data compression. Methods include transformers, attention networks, and 3D convolutional architectures .

Oded Yacobiمشاهده پروفایل

دانشیار

• Representation Theory
• Algebraic Groups
• Categorification
• +۳ مورد دیگر

Associate Professor Oded Yacobi is affiliated with the University of Sydney's Faculty of Science. His research focuses on advanced algebraic structures, including representation theory, categorification, and geometric methods in quantum groups. He holds a Ph.D. from the University of California, San Diego (2009), followed by postdoctoral roles at the University of Toronto and Tel Aviv University. Yacobi is actively involved in grants exploring dualities in representation theory and braid group dynamics. His work bridges algebraic geometry and combinatorics, with recent articles addressing Weyl groups, braid group actions, and affine Grassmannians. He leads a vibrant research program with collaborations spanning North America and Australia. Education: Ph.D. in Mathematics, University of California, San Diego (2009) Postdoctoral Fellowships: University of Toronto, Tel Aviv University Research Interests: Representation theory of algebraic groups and quantum groups Categorification techniques and their applications Geometric methods in Lie theory and combinatorics Braid groups and their algebraic structures Key Grants: 2023: ARC DP Grant (Braid groups via representation theory and machine learning) 2018: ARC DP Grant (New Dualities in Modular Representation Theory) Professional Activities: Maintains an active research group and collaborates internationally. His work has been published in top journals like Mathematische Zeitschrift and Advances in Mathematics. He is also engaged in teaching advanced algebra courses at the University of Sydney.

• Coding theory
• Cryptography
• Arithmetic/Algebraic geometry
• +۳ مورد دیگر

Tovohery Hajatiana Randrianarisoa is a Researcher at the Department of Mathematics and Mathematical Statistics , Umeå University in Sweden. His research focuses on Coding Theory , Cryptography , Arithmetic/Algebraic Geometry , and related fields such as Combinatorics, Finite Geometry, and Algebraic Topology. He has contributed to projects like the Matrix Equivalence Digital Signature Scheme and SD-in-the-Head Signature Scheme , both submitted to the NIST PQC Standardization Process. His work bridges theoretical mathematics and applied cryptography, with a strong emphasis on Rank Metric Codes , q-Matroids , and Shellable Complexes . Collaborations include co-authors such as Sudhir R. Ghorpade, Joachim Rosenthal, and Rakhi Pratihar. His publications span topics like decoding algorithms, code constructions, and topological combinatorics. Key research themes include the interplay between algebraic structures and coding theory, geometric approaches to error-correcting codes, and applications in post-quantum cryptography. He maintains active participation in international research networks and contributes to open-source initiatives like arXiv and ORCID.

Peter Brownمشاهده پروفایل

مدرس ارشد

• Number Theory
• History of Mathematics

Peter Brown serves as an Honorary Senior Lecturer at the School of Mathematics and Statistics, University of New South Wales (UNSW), Sydney. His academic role centers on undergraduate education as a casual tutor across first and second-year pure mathematics courses, while maintaining active research contributions in theoretical and historical mathematics. His research program bridges Number Theory and History of Mathematics, with significant work in Diophantine equations, arithmetic functions, and elliptic curves alongside cultural studies of Chinese mathematics and ancient Greek texts. This dual focus manifests in publications spanning rigorous theoretical proofs and contextual historical analysis, demonstrating consistent scholarly output from 1997-2015. Publication trends reveal evolving expertise: early work concentrated on classical number theory problems (Pell equations, Möbius functions), while later research incorporated historical dimensions (Chinese mathematics, cultural revolutions) and educational monitoring. The interdisciplinary nature connects abstract mathematical structures with socio-historical frameworks. Scientific Recognition Vice Chancellor's Teaching Award (2009) Science Faculty Lecturer of the Year (2016) Brown's teaching excellence has been formally acknowledged through university-wide awards, highlighting his effectiveness in foundational mathematics instruction. While specific grant funding and doctoral advising aren't documented, his sustained publication record and educational monitoring work indicate ongoing scholarly activity. The absence of laboratory facilities aligns with his theoretical research profile in pure mathematics.

Craig Hodgsonمشاهده پروفایل

استاد

• Low-Dimensional Topology
• Hyperbolic Geometry
• Geometric Structures on 3-Manifolds
• +۳ مورد دیگر

Dr. Craig Hodgson is a professor in the Department of Mathematics and Statistics at the University of Melbourne. He is a leading researcher in low-dimensional topology and hyperbolic geometry, with a focus on the structure and computational analysis of 3-manifolds. His work bridges theoretical mathematics and computational tools, advancing the understanding of geometric structures via Dehn surgery Cone-manifolds Veering triangulations Arithmetic invariants He supervises a dynamic group of students and collaborators, with notable contributions to Thurston's geometrization program Hyperbolic volume estimation Projective structures

June Parkمشاهده پروفایل

مدرس

• Arithmetic Geometry
• Moduli Spaces
• Elliptic Surfaces
• +۱ مورد دیگر

June Park is a Lecturer in Mathematics at the University of Sydney, focusing on arithmetic geometry and moduli spaces. He studies rational points on algebraic varieties and counting problems over function fields. Research: Current projects include totality of rational points on stacks, Tate's algorithm for genus-2 curves, and motivic aspects of elliptic surfaces. His work bridges topology, number theory, and algebraic geometry.