جست‌وجوی استاد و پژوهشگر

Sebastian Rezatمشاهده پروفایل

استاد

• Mathematics Education
• Textbook Research
• Linguistic Aspects of Mathematics Learning
• +۳ مورد دیگر

Professor Sebastian Rezat is a faculty member at the University of Paderborn in the Department of Mathematics Didactics within the Faculty of Computer Science, Electrical Engineering and Mathematics. He has been at the University of Paderborn since 2012 and is primarily responsible for the training of primary school teacher education students in mathematical foundational education. His research interests focus on mathematics textbook research, linguistic aspects of mathematics learning, and early algebra development. Professor Rezat conducts research on both analog and digital teaching and learning materials for mathematics education, with particular emphasis on how students use mathematics textbooks and how this usage impacts their learning. His recent publications demonstrate a strong focus on digital learning environments, reading comprehension of mathematical texts, and the impact of digital resources on mathematics education. His work spans theoretical frameworks and practical implementations in classroom settings. Scientific Awards: Fellowship for digital innovation in higher education (2023) for the development of AnnoPy, a collaborative digital tool for developing literacy skills Award from the German Society for Mathematics Education (2009) for his dissertation on mathematics textbooks as student instruments Professor Rezat has organized significant scientific events, including the Third International Conference on Mathematics Textbook Research and Development (ICMT3) in 2019, and serves on the Editorial Board of Educational Studies in Mathematics since 2021. His teaching focuses on arithmetic and geometry for primary school teacher education, with additional courses on digital resources in primary education.

Omri Weinsteinمشاهده پروفایل

استادیار

• Theoretical Computer Science
• Data Structures
• Information Theory
• +۱۲ مورد دیگر

Omri Weinstein is an Assistant Professor in the Department of Computer Science at Columbia University. His research bridges Information Theory, Data Structures, and Optimization, focusing on dynamic data structures and dimensionality-reduction techniques to accelerate optimization and search. He received his PhD from Princeton University and was a Simons Society Junior Fellow at the Courant Institute (NYU). Education: PhD in Computer Science, Princeton University Simons Society Junior Fellowship, Courant Institute (NYU) His work explores the theoretical foundations of data structure lower bounds, communication complexity, and secure computation. Recent research includes advancements in dynamic matrix inversion for linear programming, oblivious near-neighbor search, and the interplay between matrix rigidity and data structure efficiency. Key trends in his publications include: Proving polynomial and super-logarithmic lower bounds for static and dynamic data structures Developing novel techniques in information complexity and protocol compression Applications in parallel algorithms, compressed data structures, and algorithmic game theory Scientific Awards: NSF CAREER Award Simons Society Junior Fellow Best Paper Award at CSR '13 Advising and Grants: Advised PhD students Hengjie Zhang and Shunhua Jiang MsC student Victor Lecomte and postdoc Alexander Golovnev Research funded by NSF CAREER Award on data structure lower bounds Labs and Teams: Omri is affiliated with the Theoretical Computer Science Group at Columbia and leads the Data-Structure Lower Bounds Reading Group.

Bruno Klinglerمشاهده پروفایل

استاد

• Algebraic Geometry
• Hodge Theory
• Arithmetic Geometry
• +۳ مورد دیگر

Bruno Klingler is a Professor in the Department of Mathematics at Humboldt University of Berlin, based at Rudower Chaussée 25, Room 1.403, with contact email bruno.klingler@hu-berlin.de. His research spans Algebraic Geometry, Hodge Theory, Arithmetic Geometry, Complex Geometry, and Number Theory, focusing on transcendental aspects of algebraic varieties through period mappings, Hodge loci, and conjectures like Zilber-Pink and André-Oort. His methodology integrates tame topology and o-minimal structures to resolve algebraicity-transcendence dichotomies, with recent work emphasizing the Ax-Schanuel conjecture for mixed Hodge structures, definability of period maps, and distribution of Hodge loci. Collaborations with Baldi, Ullmo, Bakker, and others have driven advances in arithmetic geometry, particularly in Noether-Lefschetz theory and geometric Zilber-Pink theorems. No scientific awards, student advisement records, or laboratory affiliations were documented in the source material. His academic service includes organizing the September 2025 Cargese workshop on classical and p-adic period maps, alongside preparing lecture notes on Hodge theory, perverse sheaves, and étale cohomology.

John Anthony Gerard Robertsمشاهده پروفایل

استاد

• Dynamical Systems
• Ordinary Differential Equations
• Difference Equations
• +۵ مورد دیگر

Professor John Anthony Gerard Roberts is a distinguished academic in the School of Mathematics and Statistics at the University of New South Wales (UNSW) in Sydney, Australia. He holds the position of Professor with research focus in dynamical systems, integrable systems, and arithmetic dynamics. Roberts has held significant leadership roles including Deputy Head of School (2012-2020) and School Research Director (2007-2020). He is also a Chief Investigator of the ARC Centre of Excellence MASCOS and has served as Vice-President of the Australian Mathematical Society (2016-2017). Roberts' research interests span multiple areas within dynamical systems theory. His primary focus areas include: Integrable dynamics - studying systems with special properties like solvability, conservation laws, and slow growth of observables Arithmetic dynamics - merging dynamical systems with number theory, particularly over finite fields and discrete spaces Time-reversal symmetry - investigating symmetry properties in dynamical systems Discrete integrable systems - extending integrability concepts from continuous to discrete systems His work represents an interdisciplinary approach that connects pure and applied mathematics, physics, and computer science. Analysis of Roberts' recent publications reveals a continued focus on the intersection of algebraic geometry, number theory, and dynamical systems. His research shows particular interest in growth properties of discrete systems, signatures of integrability over finite fields, and the arithmetic structure of dynamical systems. The publications demonstrate a consistent trajectory from fundamental theoretical work to applications in understanding complex system behaviors. Scientific recognition includes: Foreign Sabbatical Fellowship from the Spanish Ministry of Science (2012) Isaac Newton Institute Visiting Fellow (2009) IAS Visiting Fellow (2006) AMSI/MASCOS Research Fellow (2006) UNSW John Yu Fellow (2004) Roberts has actively supervised numerous graduate students, with recent PhD projects focusing on arithmetic dynamics and integrable systems. His research collaborations span international institutions, including work with mathematical societies and research centers across Australia, Europe, and North America. He has organized significant academic events, notably the Workshop on Algebraic, Number Theoretic and Graph Theoretic Aspects of Dynamical Systems at UNSW in 2015. His academic leadership extends to committee service, including membership on the EDI Committee of the Australian Mathematical Society. Roberts maintains an active research program that continues to advance understanding in dynamical systems theory and its applications.

Rachel Priesمشاهده پروفایل

استاد

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

Dr. Rachel Pries is a Professor in the Department of Mathematics at Colorado State University. She specializes in arithmetic geometry, blending number theory and algebraic geometry to explore moduli spaces of curves and abelian varieties, and Galois theory for curves. Her research has applications in coding theory. She is an editor for Research in Number Theory and Proceedings of the American Mathematical Society . Organizer of the number theory lab and FRAGMENT seminar . Education: Brown University (1994), advised by Jeffrey Hoffstein and Joseph Silverman. University of Pennsylvania (2000), PhD advised by David Harbater. Postdoctoral work at Columbia University (2003). Her teaching includes courses on abstract algebra, number theory, calculus, and coding theory. She was on sabbatical in 2023-2024 and previously at other institutions (2016-2017, 2009-2010). Awards: Fellow of the American Mathematical Society (2018) Fellow of the Association for Women in Math (2023) Professor Laureate at Colorado State University (2023) She has served on faculty at Colorado State University for 20 years, organizing seminars and contributing to mathematical research and education through various roles.

• Geometry
• Representation Theory
• Differential Geometry
• +۲ مورد دیگر

Paul Schneider is affiliated with the Faculty of Mathematics at University of Bielefeld, Germany, where he maintains an active research position with office UHG V4-215 and contact information readily available through the university directory. His research focuses on advanced mathematical structures, particularly in the areas of Geometry and Representation Theory . Dr. Schneider specializes in integral structures, with specific expertise in geodetic flows and Weyl chamber flows on affine buildings. This work contributes significantly to Bielefeld University's strategic research focus in the Mathematical World, which examines regular and irregular structures through synergies between arithmetic/algebra, analysis, and probability theory. Dr. Schneider leads Project Area B4 within the Collaborative Research Centre TRR 358 "Integral Structures in Geometry and Representation Theory," titled "Geodetic Flows and Weyl Chamber Flows on Affine Buildings." This research is part of Bielefeld's broader mathematical research ecosystem, which includes multiple Collaborative Research Centres and has earned the university international recognition, ranking 5th in Mathematics according to the DFG Funding Atlas 2024. His work contributes to Bielefeld University's strategic research area known as "The Mathematical World," which aims to develop fundamental mathematical concepts while applying them to long-standing open problems across various scientific disciplines. The university maintains close cooperation between researchers working in mathematics, theoretical physics, bioinformatics, and business administration and economics.

Noah Olanderمشاهده پروفایل

پژوهشگر ارشد

• Algebraic Geometry
• Derived Categories
• Positive Characteristic Geometry

Noah Olander is an NSF Postdoctoral Fellow at the UC Berkeley Department of Mathematics (2024–present). Previously, he was a postdoctoral researcher at the University of Amsterdam (2022–2024) and participated in the Hausdorff Research Institute's Junior Trimester Program in Bonn (2023). He earned his PhD under Johan de Jong at Columbia University. His research bridges algebraic geometry, derived categories, and arithmetic geometry. Algebraic geometry Derived categories of algebraic varieties Positive characteristic geometry His publications focus on structural properties of derived categories, applications to cohomology, and arithmetic aspects of algebraic geometry. Key collaborations include work with Johan de Jong on weakly étale morphisms and Lenny Taelman during Amsterdam tenure. Scientific Awards: NSF Postdoctoral Fellowship He contributed to the Stacks Project with technical proofs about perfect generators and bounded complexes, and mentored advanced middle/high school students in the LA Math Circle (now ORMC) through specialized handouts. His work intersects with programs at Columbia University, University of Amsterdam, and Hausdorff Institute.

Fabrizio Cataneseمشاهده پروفایل

استاد

• Algebraic Geometry
• Complex Geometry
• Surface Classification
• +۳ مورد دیگر

Prof. Dr. Fabrizio Catanese is a Professor at the Mathematical Institute of the University of Bayreuth within the Faculty of Mathematics, Physics and Computer Science. His extensive research career focuses on complex algebraic geometry, particularly the classification of algebraic surfaces, moduli spaces, and geometric structures. University: University of Bayreuth Institution: Mathematical Institute Position: Professor Prof. Catanese's research interests encompass algebraic geometry, complex geometry, surface classification theory, moduli spaces, and geometric structures. His work has significantly contributed to the understanding of Burniat surfaces, Del Pezzo surfaces, Beauville surfaces, and the classification of surfaces of general type. His research often explores the connections between algebraic geometry, group theory, and topology, examining how fundamental groups and Galois actions influence the structure of moduli spaces. His publication record shows a strong focus on rigid compact complex surfaces, deformations of automorphisms, and the classification of surfaces with specific invariants. The analysis of his recent articles reveals a consistent exploration of the geometric properties of algebraic surfaces, particularly those with special structures like Burniat-type surfaces and surfaces with geometric genus zero. His work frequently involves collaboration with other leading mathematicians in the field, most notably Ingrid Bauer. Prof. Catanese has organized multiple workshops at the Oberwolfach Research Institute for Mathematics on complex algebraic geometry, demonstrating his leadership in the mathematical community. His academic contributions include numerous research papers in prestigious journals such as Inventiones Mathematicae, Advances in Mathematics, and Documenta Mathematica, as well as several edited volumes on advanced topics in algebraic geometry.

• Number Theory
• Algebra
• Pure Mathematics
• +۲ مورد دیگر

Charles Pooh serves as a Professor in the Department of Mathematics at the University of Georgia, specializing in foundational areas of pure mathematics including Number Theory and Algebra. His doctoral research centered on Capacity Theory and Algebraic Integers , a niche within analytic number theory examining metric properties of algebraic number fields and their applications in complex analysis. This work was supervised by Professor Emeritus Robert Rumely, a longtime UGA faculty member (1981–2017) renowned for contributions to arithmetic geometry. While specific advising activities or current projects aren't detailed in available records, his scholarly focus reflects deep engagement with abstract algebraic structures and Diophantine approximation frameworks central to modern number theory.

• Real Analysis
• Fourier Analysis
• Harmonic Analysis
• +۵ مورد دیگر

Tomasz Z. Szarek is an Assistant Professor at the University of Georgia (UGA) and a member of the Bilbao Analysis and PDE research group. He holds a habilitation in Mathematics from the University of Wrocław and has held postdoctoral positions at BCAM (Basque Center for Applied Mathematics), Rutgers University, and the Institute of Mathematics of the Polish Academy of Sciences. His research focuses on real and Fourier analysis, with applications to ergodic theory, spherical analysis, and discrete harmonic analysis (both commutative and noncommutative). He co-organizes the online Ergodic Theory & Analysis Seminar, emphasizing interdisciplinary connections in mathematical analysis. Education: PhD in Mathematics (2015), Institute of Mathematics of the Polish Academy of Sciences M.Sc. in Mathematics (2011), Wrocław University of Technology Research Trends: Szarek's recent work explores dimension-free estimates for maximal functions, sharp bounds for heat kernels, and ergodic theorems on nilpotent groups. His publications span harmonic analysis, operator theory, and applications to number theory problems like lattice point equidistribution. Labs & Teams: He collaborates with the Bilbao Analysis and PDE research group and engages in interdisciplinary projects involving harmonic analysis and ergodic theory.

Abraham Vargheseمشاهده پروفایل

استادیار

• Matrix Completion
• Data Problems
• Arithmetic Geometry

Abraham Varghese is an Assistant Professor in the Department of Mathematics at the University of Georgia . He teaches courses such as MATH2250 (Calculus I for Science and Engineering), MATH1113 (Precalculus), MATH2610 (Numerical Analysis), and MATH1060 (Introductory Algebra). His research focuses include Matrix Completion , Data Problems , and Arithmetic Geometry . Education: Ph.D. in Mathematics (2018), advised by Dr. Ming-Jun Lai Previous research in Arithmetic Geometry under Dr. Lorenzini Contact: Email: abraham@math.uga.edu Office: 601A Boyd Graduate Studies Research Center Phone: 706-542-2604

• Formal Proof
• Floating-Point Arithmetic
• Formalization of Mathematics
• +۴ مورد دیگر

Sylvie Boldo is an Inria Research Director in computer science at Gif-sur-Yvette, France, affiliated with the TOCCATA project and the LMF laboratory at Université Paris-Saclay. She specializes in formal verification of numerical programs, floating-point arithmetic, and formalization of mathematics in the Coq proof assistant. Active in IEEE Symposium on Computer Arithmetic (ARITH) since 2019 Steering Committee Member at NSV (Numerical Software Verification) workshop Current projects include Nuscap (numerical safety for computer-aided proofs) and EMC2 (extreme-scale computational chemistry) Her research focuses on: Formal proofs of numerical algorithms Floating-point error analysis Computer arithmetic foundations Verification of C programs and compilers Finite element method formalization Real analysis in Coq She has advised 6 PhD students, including Diane Gallois-Wong (Nomadic Labs) and Tuyen Nguyen (HCMC University of Science). Key publications include: Coquelicot: User-friendly real analysis library for Coq Wave equation resolution with formal verification Formalization of Lebesgue integration Survey on floating-point arithmetic Verified compilation of floating-point programs

Christian Liedtkeمشاهده پروفایل

استاد

• Algebraic Geometry
• K3 Surfaces
• Elliptic Curves
• +۳ مورد دیگر

Christian Liedtke is a Full Professor at the Technical University of Munich (TUM), affiliated with the TUM School of Computation, Information and Technology (CIT) in the Department of Mathematics. He has held this position since 2022, following roles as Associate Professor (2017-2022) and Tenure Track Assistant Professor (2013-2017) at TUM. Previously, he conducted research at Stanford University (2009-2011) and the University of Bonn. He served as Vice Dean (2018-2022) and Research Dean (2019-2022) of Mathematics at TUM. Education includes: Mathematics studies at University of Göttingen and University of Warwick (1996-2001) Doctoral studies under Professor Faltings at Max Planck Institute for Mathematics, Bonn (PhD 2004) Habilitation (2011) His research centers on algebraic geometry, particularly the classification of algebraic surfaces (K3 surfaces, surfaces of general type in positive characteristic), elliptic curves, rational curves, and fundamental groups. His work bridges classical, complex, and arithmetic geometry, with recent emphasis on moduli spaces, deformations, and arithmetic analogs of classical theories. Publication analysis shows consistent focus on K3 surfaces, rational curves, and arithmetic geometry in positive characteristic. Recent articles explore group schemes, quotient singularities, and non-commutative resolutions, reflecting collaborations across algebraic geometry, number theory, and commutative algebra. Awards and honors: Goldener Zirkel Teaching Award (2025, 2020, 2017) ERC Consolidator Grant (2015) DFG Research Grant (2009) Grants and advising activities include leadership of ERC Consolidator Grant 'K3CRYSTAL' (2016-2021) and multiple DFG grants. He directs a research group with postdocs and PhD students, focusing on arithmetic moduli spaces and supersingular varieties. Team members have included Dr. Frank Gounelas, Dr. Oliver Gregory, and PhD candidates Kai Behrens and Daniel Boada.

Jason Callahanمشاهده پروفایل

استاد

• Topology
• Knot Theory
• Applied Statistics
• +۳ مورد دیگر

Jason Callahan is a Professor of Mathematics at St. Edward's University's School of Natural Sciences , where he has been affiliated since 2009. He serves as President of the Faculty Senate and Chair of the MAA Texas Section . Research & Teaching: Dr. Callahan specializes in topology, knot theory, and mathematics education . His work spans theoretical mathematics (knot groups, Kleinian groups) and applied fields (population modeling, Markov chain analysis for game theory). He teaches diverse courses including Abstract Algebra, Applied Statistics, and Calculus series, with a focus on undergraduate research mentorship. Awards & Grants: MAA Texas Section Ron Barnes Distinguished Service to Students Award (2018) Presidential Excellence Research Grants (2021, 2014) NSF IUSE grant for 'LLCAL Project' ($1.6 million, 2015-2021) Dean's Faculty Excellence Award for Research (2015) Advocacy: Dr. Callahan coordinates student research presentations at national conferences (Joint Mathematics Meetings, MAA MathFest) and serves on multiple academic organizations including the American Mathematical Society and Council on Undergraduate Research.

• Algebraic Geometry
• K3 Surfaces
• Calabi-Yau Manifolds
• +۵ مورد دیگر

Professor Viacheslav Nikulin is a distinguished mathematician specializing in Algebraic Geometry with a career spanning several decades. He holds a professorship and is actively engaged in research and academic leadership, currently serving as the Director of the MSc course in Mathematics for the past six years. His work focuses on advanced topics in algebraic varieties and their geometric properties, with significant contributions to the mathematical community internationally. Professor Nikulin's research interests encompass several specialized areas in modern mathematics: Classical algebraic varieties, particularly del Pezzo surfaces and K3 surfaces Calabi-Yau manifolds and their geometric properties Arithmetic aspects of quadratic forms Arithmetic hyperbolic reflection groups Hyperbolic (Borcherds) Kac-Moody Lie algebras His recent publications demonstrate a sustained focus on K3 surfaces and their automorphism properties, exploring classifications of degenerations, Picard lattices, and symplectic automorphism groups. His work connects deep theoretical concepts with concrete geometric structures, advancing our understanding of complex algebraic surfaces through rigorous mathematical analysis. Professor Nikulin has received significant recognition for his contributions to mathematics: Prize of Academy of Sciences of USSR for outstanding results in Mathematics and applications (1989) Prize of Moscow Mathematical Society to young mathematicians (1979) He has secured research funding including an EPSRC grant for "Correspondences of K3 surface via moduli of sheaves" (2006-2010). Professor Nikulin is an active member of the mathematical community, having served as one of the leaders of the Algebraic Geometry group in Pure Mathematics and as an organizer of the Algebraic Geometry seminar. He was invited to speak at the International Congress of Mathematicians in Berkeley, USA in 1986, including a presentation on "Hyperbolic Reflection groups and algebraic surfaces". His professional memberships include the London Mathematical Society (since 2005) and the Moscow Mathematical Society (since 1977).