جست‌وجوی استاد و پژوهشگر

Jan B. Vonkمشاهده پروفایل

استاد

• Number Theory
• Algebraic Geometry
• p-adic Analysis
• +۳ مورد دیگر

Jan B. Vonk is a Professor of Mathematics at Leiden University's Mathematical Institute. Appointed full professor in November 2023, he leads research in number theory with a focus on real quadratic fields, p-adic analysis, and modular forms. His work bridges classical number theory with modern computational approaches, establishing him as a significant contributor to arithmetic geometry. Jan Vonk completed his mathematics studies at Ghent University, University of Iceland, and University of Cambridge, followed by a doctorate at the University of Oxford. After academic positions in Canada, the UK, and the US, he joined Leiden University in 2020. Professor Vonk's research centers on applying rigid analytic methods to problems in number theory, particularly concerning real quadratic fields. He has made groundbreaking contributions to the theory of rigid meromorphic cocycles and their applications to singular moduli, extending classical results beyond the imaginary quadratic setting. His work often explores the connections between modular forms, arithmetic geometry, and p-adic analysis, developing novel computational tools for theoretical investigations. His publication record shows a clear progression from computational aspects of overconvergent modular forms to more theoretical investigations of rigid cocycles and their arithmetic applications. Recent work demonstrates increasing sophistication in handling real quadratic fields through p-adic methods, with significant contributions to understanding Borcherds products, arithmetic intersections, and the Chabauty method for modular curves. ERC Starting Grant (2023) - Five-year research grant supporting his work on real quadratic fields VIDI grant (2022) - Major Dutch research grant from NWO Professor Vonk supervises multiple PhD candidates including Paolo Bordignon, Alex Braat, Håvard Damm-Johnsen, and Antigona Pajaziti. His research group develops specialized computational tools for number theory, particularly Magma packages for rigid meromorphic cocycles and quadratic Chabauty implementations. He maintains active collaborations with leading mathematicians worldwide, especially in North America where he previously worked. Based in the Gorlaeus Building at Leiden University, Vonk is a core member of the Number Theory, Algebra and Geometry research group. His computational work has practical applications in advancing theoretical understanding of arithmetic problems that have challenged mathematicians for decades.

David Lilienfeldtمشاهده پروفایل

پژوهشگر ارشد

• Algebraic Number Theory
• Arithmetic Geometry
• Modular Forms
• +۴ مورد دیگر

David Lilienfeldt is a postdoctoral researcher at Leiden University's Mathematical Institute and the first recipient of the Edixhoven Postdoctoral Fellowship. Previously, he held a postdoctoral position at the Hebrew University of Jerusalem's Einstein Institute of Mathematics. His research focuses on algebraic number theory and arithmetic geometry, particularly modular forms, elliptic curves, algebraic cycles, and special values of L-functions. He also investigates rational points on higher-genus curves through methods like Chabauty-Kim. His academic journey includes a PhD in Mathematics from McGill University (supervised by Henri Darmon), an MSc from EPFL (supervised by Eva Bayer-Fluckiger), and an exchange semester at Harvard University (supervised by Benedict Gross). He has co-organized seminars such as PANCakeS at Leiden and delivered lectures on topics ranging from BSD conjecture to arithmetic intersection theory. PhD: McGill University, 2021 MSc: EPFL, 2016 BSc: EPFL, 2014 David's recent publications explore twisted triple product L-functions, generalized Heegner cycles, and geometric quadratic Chabauty over number fields. His work bridges theoretical frameworks with computational experiments, contributing to understanding deep connections between algebraic cycles, L-series, and Diophantine equations. Scientific Awards: Edixhoven Postdoctoral Fellowship (Leiden University) Emily Erskine Endowment Fund Postdoctoral Researcher Fellowship (Hebrew University) Advising: Dominique Lawson (2024-2025, Leiden University) Chirstos Philippou (2023-2024, Leiden University, co-supervised with J. H. Evertse)

Colin Jahelمشاهده پروفایل

پژوهشگر ارشد

• Model Theory
• Dynamics
• Probability Theory

Colin Jahel is a Research Fellow at Technische Universität Dresden, specializing in mathematical research at the intersection of Model Theory, Dynamics, and Probability Theory. He completed his PhD in 2021 at the University of Lyon, France, under the supervision of Lionel Nguyen Van Thé and Todor Tsankov. Prior to his current position, he was a postdoctoral researcher at Carnegie Mellon University. His research explores connections between model-theoretic methods and dynamical systems, with emphasis on invariant measures, automorphism groups, and structural properties of mathematical objects. Key themes include ergodic theory applications to countable structures, topological dynamics of Polish groups, and probabilistic aspects of mathematical logic. Jahel's publications demonstrate consistent focus on interactions between model theory and dynamics, with recurrent themes of invariant measures, group actions, and classification of infinite structures. His collaborative work frequently addresses problems in geometric group theory, combinatorial limit theory, and measurable dynamics. He maintains active research collaborations with mathematicians across institutions, including co-authors from Carnegie Mellon University, Charles University, and other European universities.

Andrés Aranda Lópezمشاهده پروفایل

پژوهشگر

• Graph Theory
• Ramsey Theory
• Combinatorics
• +۲ مورد دیگر

Andrés Aranda López is a Postdoctoral Researcher at Dresden University of Technology working under Professor Manuel Bodirsky in discrete mathematics. His research bridges theoretical computer science and advanced combinatorics through rigorous mathematical frameworks. His primary research focuses on infinite homomorphism-homogeneous relational structures and Ramsey theory, with particular emphasis on graph classification problems. Current projects include developing a comprehensive classification of homomorphism-homogeneous graphs and establishing a Fraïssé theorem for IB/IM-homogeneous structures. This work sits at the intersection of model theory, combinatorics, and structural graph theory, addressing fundamental questions about symmetry and categoricity in infinite structures. Analysis of recent publications reveals a concentrated research trajectory in homogeneous graph theory since 2018, with significant contributions to independence numbers, morphism-extension classes, and clique-omitting graph properties. His work demonstrates strong international collaboration patterns, particularly with researchers in North America and Europe, reflecting engagement with global research communities in discrete mathematics. Dr. Aranda López maintains an active research program with regular output in high-impact combinatorics journals. While specific grant details aren't public, his sustained publication record in venues like Journal of Combinatorial Theory suggests ongoing research funding. His collaborative approach indicates opportunities for joint projects with international research groups specializing in model theory and combinatorial structures.

Valentin Blomerمشاهده پروفایل

استاد

• Number Theory
• Analytic Number Theory
• Automorphic Forms
• +۲ مورد دیگر

Valentin Blomer is a Professor of Mathematics at the University of Bonn, where he has been employed since 2019. Previously, he held professorships at the University of Göttingen (2009-2019) and the University of Toronto (2005-2009). His primary research focuses on number theory, particularly analytic number theory, automorphic forms, L-functions, and quadratic forms. He leads the research group 'Analytic Number Theory and Automorphic Forms' at the University of Bonn and organizes the Oberseminar Analytic Number Theory and Automorphic Forms, which features regular talks by leading researchers in the field. Blomer's research has significantly advanced our understanding of density theorems for GL(n), bounds for Kloosterman sums, the Manin-Peyre conjecture for spherical Fano varieties, and spectral theory of automorphic forms. His work demonstrates deep connections between analytic number theory, harmonic analysis, and algebraic geometry. Heinz Maier-Leibnitz Preis (2005) André Aisenstadt Prize (2009) Ribenboim Prize (2010) Elected to Academia Europaea (2019) Gauß lecture (2021) Teaching award at University of Bonn (2022) ICM Speaker (2026) His research has been supported by numerous prestigious grants including an ERC Advanced Grant (2022), ERC Starting Grant (2010), Sloan Fellowship (2008), and multiple DFG-SNF collaborative grants. He serves on the editorial boards of International Mathematics Research Notices, Journal of the Institute of Mathematics of Jussieu, and Essential Number Theory. Notably, beyond his mathematical research, Blomer is also an accomplished classical pianist with professional training and numerous performances across Europe and North America.

Bakhyt Aitzhanovaمشاهده پروفایل

استادیار

• Algebra
• Geometry
• Poisson Algebras
• +۳ مورد دیگر

Bakhyt Aitzhanova serves as an Assistant Professor in the Department of Mathematics at the University of Virginia. Her academic position places her within the university's mathematics faculty, with office located in Kerchof Hall. Dr. Aitzhanova's research focuses on specialized areas of algebra and geometry, particularly examining automorphism structures related to Veronese surfaces and algebras. Her work intersects with polynomial algebra systems and Poisson geometry, representing cutting-edge research in algebraic structures. The mathematical community recognizes her contributions through publications in specialized mathematics journals focusing on geometric algebra and transformation theory. Her recent publications demonstrate an active research program exploring the structural properties of Veronese configurations in both affine and algebraic contexts. This work contributes to broader mathematical understanding of symmetry properties in higher-dimensional algebraic varieties and their applications in theoretical mathematics.

Robert Coulterمشاهده پروفایل

استاد

• Finite Fields
• Cryptography
• Projective Geometry
• +۷ مورد دیگر

Robert Coulter is a Professor of Mathematical Sciences at the University of Delaware, affiliated with the College of Arts & Sciences. His expertise lies at the intersection of finite fields, cryptography, and combinatorics. He holds a B.S. from Flinders University, a BS(Hons) from the University of Queensland, and a Ph.D. in Computer Science and Electrical Engineering from the University of Queensland. His research focuses on cryptographic functions (e.g., APN/planar functions), projective geometry, and semifields, with applications in information security and combinatorial design. Notable contributions include work on differential uniformity, semifield classification, and the construction of algebraic structures like Cartesian groups. His publications span over 50 refereed articles in journals like Finite Fields and Applications , Designs, Codes and Cryptography , and IEEE Transactions on Information Theory , with recent emphasis on planar functions, APN functions, and cryptographic polynomial constructions. He has advised 13 PhD/Master’s students, many of whom now hold academic or professional roles at institutions like King’s College, Stockton University, and NSA. Education: B.S., Flinders University of South Australia BS(Hons) First Class, University of Queensland Ph.D., University of Queensland Research Focus: Finite fields and their cryptographic applications Construction of APN/planar functions Projective planes and semifield classification Combinatorial designs and difference sets Advising: Supervised 13 students, with 11 having completed their degrees (e.g., Todd Gutekunst, Emily Bergman, Li-An Chen). Grants & Activities: Active in research programs at UD’s Mathematical Sciences department, including the Graduate Student Mathematical Modeling Camp and Summer Math Modeling Program .

Nicolas Addingtonمشاهده پروفایل

دانشیار

• Algebraic Geometry
• Derived Categories
• Calabi-Yau Manifolds
• +۴ مورد دیگر

Nicolas Addington is an Associate Professor and Associate Department Head & Director of Undergraduate Studies in the Department of Mathematics at the University of Oregon, College of Arts and Sciences. His research focuses on algebraic geometry, with particular emphasis on derived categories, Calabi-Yau manifolds, K3 surfaces, and Brauer groups. He explores topics such as Hodge theory, moduli spaces, and arithmetic geometry, often intersecting with homological algebra and representation theory. His work frequently investigates connections between algebraic structures and geometric properties, including derived equivalences, Fourier-Mukai transforms, and categorical actions. He has contributed to understanding rationality problems in algebraic varieties and the behavior of Hodge numbers in positive characteristic. Addington’s research also addresses arithmetic aspects, such as Brauer-Manin obstructions to weak approximation on Calabi-Yau threefolds. His publications reflect a deep engagement with both classical geometric questions and modern categorical methods, often leveraging computational tools like K3nCones to explore geometric algorithms. He is affiliated with the Department of Mathematics and maintains an active research profile, with a focus on mentoring undergraduate and graduate students in algebraic geometry and related fields.

Frederick Hoffmanمشاهده پروفایل

استاد

• Finite Groups
• Combinatorics
• Coding Theory
• +۲ مورد دیگر

Frederick Hoffman is Professor of Mathematics at Florida Atlantic University, specializing in finite group theory, combinatorics, and applications to artificial intelligence. With a Ph.D. from the University of Virginia (1964), his foundational work spans group actions, combinatorial structures, and mathematical foundations of AI. Research contributions include: Theoretical advances in finite group automorphisms Combinatorial methods for forbidden pair problems Mathematical frameworks for knowledge representation in AI Applications of algebraic structures to coding theory Professional leadership includes: Founding Fellow of Institute of Combinatorics and Applications Director of 35 international combinatorics conferences Chair of 14 AI and Mathematics symposia Douglas D. Dankel II Service Award recipient (2017) Dr. Hoffman has supervised doctoral students and contributed to interdisciplinary initiatives bridging mathematics with computer science and artificial intelligence.

Alex Feingoldمشاهده پروفایل

استاد

• Algebra
• Lie algebras
• Conformal field theory
• +۱ مورد دیگر

Alex Feingold is a Professor in the Department of Mathematical Sciences at Binghamton University, where he has been since 1979. He holds a Ph.D. from Yale University (1977) and specializes in Algebra, Lie algebras, conformal field theory, and piecewise isometry groups. His research explores the structural properties of Kac-Moody algebras, hyperbolic Weyl groups, vertex operator algebras, and their applications in theoretical physics. Recent publications focus on decomposition methods in hyperbolic algebras and connections between algebraic structures and conformal field theory. Professor Feingold has advised several Ph.D. students on topics including branching rule decompositions in Lie algebra representations. His work demonstrates consistent engagement with fundamental algebraic structures and symmetry principles across mathematical physics. Beyond academia, he maintains an active sculpture practice with exhibitions of mathematical art, including bronze castings inspired by knot theory and hyperbolic surfaces.

• Algebraic Groups
• Arithmetic Groups
• Lie Groups
• +۳ مورد دیگر

Gopal Prasad is a Professor in the Department of Mathematics at the University of Michigan's College of Literature, Science, and the Arts (LSA), with his office located in Room 5846 East Hall. He maintains active research contributions as evidenced by publications through 2025. His research expertise spans: Algebraic Groups Arithmetic Groups Lie Groups Differential Geometry Number Theory Representation Theory Prasad's scholarly output reveals sustained focus on Bruhat-Tits theory, particularly unramified and tamely ramified descent mechanisms, alongside structural analysis of pseudo-reductive groups. His work bridges algebraic geometry with number theory through investigations of fake projective planes and arithmetic symmetric spaces, demonstrating methodological innovation in group-theoretic frameworks.

Fernando Szechtmanمشاهده پروفایل

استاد

• Group Theory
• Representation Theory
• Lie Algebras
• +۱ مورد دیگر

Fernando Szechtman is a Professor in the Department of Mathematics and Statistics at the University of Regina, specializing in group theory and representation theory. Research Focus His research explores algebraic structures including Lie algebras, finite fields, and p-groups. Major themes include: Group automorphisms and isomorphism problems Algebraic structures in finite fields Classification of p-groups Publications Recent articles demonstrate deep engagement with group theory fundamentals, featuring work on wreath products, matrix similarity, and Artin-Schreier extensions. Publications frequently address structural questions in finite group theory and field extensions. Professional Activities No awards or student information is available in the provided text.

• Applied Mathematics
• Algorithms
• Optimization
• +۴ مورد دیگر

Dr. Richard Bödi is a Researcher at the ZHAW School of Engineering's Departement Applied Mathematics, Physics, Systems and Operations. He specializes in applied mathematics, algorithms, optimization, and computer science with a focus on databases and geometry. His work spans NoSQL systems, inventory optimization, and geometric structures like projective planes and collineation groups. Dr. Bödi has contributed to over 30 peer-reviewed publications since 1989, including foundational research on smooth stable planes and ZurichNoSQL query processing. He collaborated on a NoSQL Data Warehouse project for optimizing air transportation logistics and authored articles on decision-making scoring systems. His research interests include algorithmic efficiency in databases, symmetry exploitation in optimization, and geometric modeling. Recent work emphasizes data-driven business analytics and forecast accuracy in supply chains. Notable contributions include collaborative efforts with IBM on inventory budgeting and medical imaging algorithms for brachytherapy. Dr. Bödi’s research demonstrates a blend of theoretical mathematics and applied computational methods. His publications span disciplines from differential geometry to logistics optimization, reflecting a commitment to bridging abstract mathematical concepts with real-world applications.

Somnath Jhaمشاهده پروفایل

دانشیار

• Number Theory
• Arithmetic Geometry
• Iwasawa Theory
• +۲ مورد دیگر

Somnath Jha is Associate Professor in Mathematics and Statistics at IIT Kanpur specializing in number theory and arithmetic geometry. His research investigates Selmer groups, Iwasawa theory, and modular forms with applications to elliptic curves and Galois representations. He develops algebraic methods for analyzing p-adic deformations in arithmetic objects. International collaborations include work with researchers at Osaka University and University of Heidelberg on non-commutative Iwasawa algebras. His educational contributions include advanced courses in number theory and supervision of graduate students in arithmetic geometry projects.

Jean Lécureuxمشاهده پروفایل

مدرس

• Buildings and their boundaries
• Poisson boundaries and boundary maps
• Rigidity
• +۳ مورد دیگر

Jean Lécureux is a Lecturer at the Department of Mathematics within the Faculty of Sciences of Orsay at the University of Paris-Saclay. His research focuses on geometric group theory, specifically exploring buildings, their boundaries, Poisson boundaries, rigidity phenomena, and random walks in CAT(0) spaces. He has supervised the PhD of Corentin Le Bars (2023), currently a postdoc at the Weizmann Institute, and is currently advising Antoine Derimay's PhD. His work spans advanced topics such as the Normal Subgroup Theorem for groups acting on Ã₂ buildings, superrigidity in algebraic group actions, and geometric density of invariant random subgroups. Notable contributions include foundational studies on CAT(0) cubical complexes and boundary maps in infinite-dimensional Hermitian symmetric spaces. He holds a PhD from 2009 under Bertrand Rémy and an habilitation (2020) titled 'Bords et rigidité en courbure négative ou nulle.' Publications highlight interdisciplinary approaches to geometric structures, with key journals including Annales scientifiques de l'École normale supérieure, American Journal of Mathematics, and Groups, Geometry, and Dynamics. His pedagogical contributions include a 2017 paper on evaluation strategies in university mathematics education.