جست‌وجوی استاد و پژوهشگر

Ulrich Görtzمشاهده پروفایل

استاد

• Arithmetic Geometry
• Number Theory
• Abelian Varieties
• +۳ مورد دیگر

Prof. Dr. Ulrich Görtz is a full-time faculty member at the University of Duisburg-Essen, leading the Research Group Görtz in the field of Arithmetic Geometry and Number Theory. His work bridges abstract algebraic geometry with number-theoretic structures, focusing on topics like Shimura varieties, Frobenius traces, and abelian varieties in positive characteristic. Research Areas: Arithmetic Geometry, Number Theory, Abelian Varieties, Positive Characteristic Geometry Organized Workshops: Oberwolfach workshops (2015, 2019) on reduction of Shimura varieties His research group includes current PhD students Giulio Marazza and Thiago Solovera e Nery, along with former members such as Francesc Fité, Xavier Guitart, and Martin Kreidl. He has collaborated with institutions like the Mathematisches Forschungsinstitut Oberwolfach and the Hausdorff Center in Bonn. The group's publications span p-adic geometry, moduli spaces, and vector bundle theory, with contributions to the understanding of Iwahori level structures, Sato-Tate groups, and Demazure resolutions. His work has appeared in journals like Ann. Inst. Fourier , Compos. Math. , and Math. Z. Prof. Görtz is actively involved in mentoring students and postdocs, with a team including secretary Julia Schulte-Kellinghaus and former collaborators like Ulrich Terstiege and Christian Kappen. His contact details include an email address ulrich.goertz@uni-due.de .

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

Robert Rockwood serves as a Heilbronn Research Fellow in Mathematics, conducting advanced research at the intersection of number theory and algebraic geometry. His position is hosted through the Heilbronn Institute for Mathematical Research, which maintains its primary partnership with the University of Bristol. Rockwood's scholarly focus spans several interconnected domains: Number Theory (particularly Euler systems and L-functions) Algebraic Geometry (specializing in spherical varieties) Arithmetic Geometry (cohomology class constructions) p-adic Analysis (weight spaces and non-ordinary families) Automorphic Forms (modular form applications) His recent publications reveal a concentrated effort to develop p-adic interpolation techniques for cohomology classes on spherical varieties, with progressive movement from standard p-adic families (2024) toward more complex non-ordinary settings (2026). This trajectory demonstrates growing sophistication in handling exceptional cases of modular forms while maintaining connections to Euler system theory. No scientific awards or student supervision activities are documented in available records. Similarly, there is no indication of laboratory leadership or dedicated research group infrastructure beyond standard fellowship resources.

• Pure Mathematics
• Number Theory
• Algebraic Geometry
• +۳ مورد دیگر

Professor Andrew Booker is a mathematician at the School of Mathematics , University of Bristol , specializing in Pure Mathematics with a focus on Number Theory , Algebraic Geometry , and Analytic Number Theory . He holds an M.Sc. from the University of Virginia and a Ph.D. from Princeton University. Contact: Andrew.Booker@bristol.ac.uk

• Number theory
• Algebraic number theory
• Arithmetic geometry
• +۳ مورد دیگر

Ian Kiming is a Professor at the Department of Mathematical Sciences, University of Copenhagen. His primary research areas are Algebraic number theory and Arithmetic geometry , with a focus on automorphic forms, Galois representations, and p-adic aspects. 1996: Habilitation, University of Essen, Germany 1989: Lic. Scient. (Mathematics), University of Copenhagen 1986: Cand. Scient. (Mathematics and Physics), University of Copenhagen Kiming's research explores the interplay between automorphic forms and Galois representations, particularly in p-adic settings. His work includes foundational studies on modular forms, overconvergence, and torsion structures in elliptic curves. Recent publications highlight trends in Eisenstein series , modular forms modulo prime powers , and finiteness properties in arithmetic geometry. Collaborations with Nicolas Rustom and Gabor Wiese underscore his contributions to these fields. Scientific Awards Ole Rømer Fellowship, Danish Natural Science Research Council (1996-2001) Habilitation Fellowship, Deutsche Forschungsgemeinschaft (1994-1996) Teaching and guidance areas include Algebra , Galois theory , and Number theory . Kiming's full publication list is available through his institutional profile.

• Number Theory
• Modular Forms
• p-adic Properties
• +۳ مورد دیگر

Michael Hanson is a Visiting Assistant Professor of Mathematics at the University of North Texas , focusing on number theory and modular forms. He earned his PhD in mathematics from the University of Tennessee, Knoxville in May 2023 under the supervision of Dr. Marie Jameson. Research Interests: Number Theory, Modular Forms, p-adic Properties, Divisibility of Coefficients, Integer Partitions, Applications of Automorphic Forms Contact: Michael.Hanson@unt.edu Office: General Academic Building room 471E, 225 E. Mulberry St, Denton, TX 76201

Mathilde Gerbelli-Gauthierمشاهده پروفایل

استادیار

• Number Theory
• Representation Theory

Mathilde Gerbelli-Gauthier is an Assistant Professor at the University of Toronto, specializing in Number Theory and Representation Theory. Her research focuses on cohomological aspects of arithmetic groups, automorphic forms, and trace formulas. Recent publications include studies on Fuchsian groups, unitary groups, and the Sarnak-Xue density hypothesis. She is affiliated with the Department of Mathematics (implied by research areas) and can be reached at m.gerbelli@utoronto.ca. Her work bridges algebraic and analytic number theory with geometric representation theory.

Christopher Birkbeckمشاهده پروفایل

مدرس

• Pure Mathematics
• Number Theory
• Algebraic Geometry
• +۳ مورد دیگر

Christopher Birkbeck is a Lecturer in Pure Mathematics at the School of Engineering, Mathematics and Physics, University of East Anglia. He is a member of the Algebra, Number Theory, Logic, and Representations (ANTLR) research group. His research focuses on formalization of mathematics, number theory, and arithmetic geometry, with notable contributions to Fermat's Last Theorem formalization and overconvergent Hilbert modular forms. He is currently leading the 'Scalable theorem proving via mathematical databases' project funded by Renaissance Philanthropy (2025–2027). His educational and professional background includes expertise in algebraic number theory and modular forms. Research interests span formal verification systems like Lean, p-adic geometry, and geometric representation theory. His work often intersects computational logic and theoretical mathematics, aiming to bridge formal proofs with advanced algebraic structures. Key research trends include advancing formalized mathematics through theorem provers, studying geometric properties of modular forms using perfectoid spaces, and exploring p-adic Hodge theory via Fargues-Fontaine curves. His projects emphasize computational methods to enhance mathematical rigor and scalability in theorem proving. He is actively accepting PhD students and has secured significant research funding for foundational mathematics projects. His collaborations span global institutions, reflecting his role in international mathematical communities.

Davide Cesare Venianiمشاهده پروفایل

عضو هیئت علمی

• Algebraic Geometry
• K3 Surfaces
• Enriques Surfaces
• +۳ مورد دیگر

Davide Cesare Veniani is a Postdoctoral Assistant at the University of Stuttgart, affiliated with the Institute of Discrete Structures and Symbolic Computing and the Chair of Differential Geometry. He holds a Privatdozent (Priv.-Doz.) title and completed his habilitation in Mathematics at Stuttgart in 2021. His research focuses on algebraic geometry, particularly K3 surfaces, Enriques surfaces, and their symmetries, enumerative problems, and connections to number theory. Education: PhD in Mathematics (2016), Leibniz Universität Hannover, under Prof. Matthias Schütt Postdoctoral positions at Johannes Gutenberg-Universität Mainz (2016–2019) and Universität Stuttgart (2019–present) His research interests include the geometry of algebraic surfaces, their moduli spaces, automorphisms, and applications to arithmetic geometry. He has organized events such as the 2023 FrAGe conference and contributed to international summer schools on arithmetic geometry. Teaching includes courses on mathematics for economics, advanced geometry topics, and seminars on group theory and algorithmic applications. His publications span high-impact journals, exploring subjects like elliptic fibrations, symplectic rigidity of hyperkähler manifolds, and Hensel lifting algorithms for quadratic forms.

• Euler systems
• p-adic L-functions
• Iwasawa theory
• +۴ مورد دیگر

Rob Rockwood is a Heilbronn Research Fellow and Research Fellow in the Department of Mathematics at King's College London, part of the Faculty of Natural, Mathematical & Engineering Sciences. He completed his PhD at the University of Warwick in 2022 under Professor David Loeffler. His research focuses on advanced topics in number theory and algebraic geometry, including Euler systems, p-adic L-functions, and applications to the Bloch—Kato conjectures. Research Interests: Rob’s work bridges spherical varieties , p-adic families of automorphic forms , and cohomology classes . He explores their interplay with Euler systems and Iwasawa theory to address fundamental conjectures like the Bloch—Kato conjectures. Publications highlight trends in modular forms, cohomology studies, and symmetric spaces. His recent work (2024) advances spherical varieties’ role in p-adic cohomology families. Earlier publications (2022–2023) underscore GL(2n) L-functions and non-ordinary cohomological families. Awards: Heilbronn Research Fellowship Grants and collaborations include the Heilbronn Fellowship, supporting his research. No formal advisees are listed, but his work involves collaborations with leading figures like Professor David Loeffler and Sarah Livia Zerbes. Labs/Teams: Active in King’s Number Theory group, contributing to its tradition of excellence in arithmetic geometry and automorphic forms.

Payman L Kassaeiمشاهده پروفایل

استاد

• Number Theory
• Modular Forms
• Galois Representations
• +۳ مورد دیگر

Payman L Kassaei is a Professor of Number Theory at King's College London's Department of Mathematics. His research focuses on modular forms and their generalizations, particularly congruences modulo prime numbers, leveraging cohomology groups of Shimura varieties. He holds a PhD from MIT (1999). He leads the EPSRC-funded 'Langlands reciprocity and the geometry of Shimura varieties: the mod p interface' (2025–2027) and collaborates on projects exploring p-adic and geometric methods in the Langlands Programme. His work bridges number theory, algebraic geometry, and automorphic forms, emphasizing Galois representations and Shimura varieties. Education: Doctor of Philosophy, Massachusetts Institute of Technology (1999) Research Interests: Classical and overconvergent automorphic forms Galois representations and their mod p structures Shimura varieties and their cohomology p-adic dynamics of Hecke operators Modular forms and their analytic continuation Grants & Activities: Primary Investigator for multiple EPSRC grants, including recent £3M+ projects Organized conferences like 'Automorphic forms and Galois representations' (2011) and 'Modular forms, p-adic Hodge Theory' (2009) Peer-reviewer for journals since 2001 Key Contributions: Pioneered work on mod p Jacquet-Langlands relations and minimal weights in Hilbert modular forms Advanced canonical subgroup theory in p-adic geometry

• Number Theory
• Algebraic Geometry
• Modular Forms
• +۱ مورد دیگر

Shu Sasaki is a researcher active in the fields of Number Theory, Algebraic Geometry, and Modular Forms. His work focuses on Galois Representations, Hilbert Modular Forms, and their geometric and arithmetic properties in characteristic p. Recent research output includes: 2024: A Serre weight conjecture for geometric Hilbert modular forms in characteristic p (European Mathematical Society), advancing understanding of weight conjectures in positive characteristic. 2023: A mod p Jacquet-Langlands relation and Serre filtration via the geometry of Hilbert modular varieties (Astérisque), connecting representation theory to modular variety geometry. 2014: Modularity lifting results in parallel weight one and applications to the Artin conjecture (Forum of Mathematics Sigma), addressing tamely ramified Galois representations. His projects, funded by EPSRC, include studies on Companion forms, p-adic modular forms, congruences between automorphic forms, and their implications for Galois representations. Research keywords reflect a strong emphasis on the interplay between modular forms, representation theory, and arithmetic geometry.

Stéphanie Cupit-Foutouمشاهده پروفایل

استاد

• Algebraic Geometry
• Symplectic Geometry
• Complex Geometry
• +۴ مورد دیگر

Prof. Dr. Stéphanie Cupit-Foutou is a Professor in the Faculty of Mathematics at Ruhr-Universität Bochum. She leads the Cupit-Foutou Group, focusing on algebraic geometry, symplectic geometry, and representation theory. Her research emphasizes spherical varieties, Lie groups, and geometric invariant theory, with contributions to Kähler geometry and moment map structures. She collaborates with institutions like the Floer Center of Geometry and the CRC/TRR 181 (Symplectic Structures). Teaching includes courses on complex analysis (Funktionentheorie), Lie groups, and Kähler geometry. She advises PhD students such as Christian Karb and Tobias Waedt, whose work extends her research on non-Kähler manifolds and LVMB generalizations. Her affiliations include the SFB/TRR 191 research collaboration and regular participation in seminars on complex algebraic geometry and symplectic dynamics.

Bella Tobinمشاهده پروفایل

استادیار

• Number Theory
• Arithmetic Dynamics
• Arithmetic Geometry
• +۷ مورد دیگر

Bella Tobin is an Assistant Professor of Mathematics in the Department of Mathematics at Agnes Scott College, located in Atlanta, Georgia. She is affiliated with the College of Arts and Sciences and actively contributes to both research and undergraduate education in pure mathematics. BSc in Mathematics, University of Vermont MA in Mathematics, University of Hawaii PhD in Mathematics, University of Hawaii (2019) Her primary research interests lie in number theory and arithmetic dynamics , with a focus on post-critically finite maps, dynamical Belyi maps, and the interplay between arithmetic dynamics and arithmetic geometry. She explores deep structural properties of polynomial and rational dynamical systems over number fields and non-archimedean fields, particularly through equidistribution phenomena and algebraic invariants. The recent publications highlight a consistent trend in arithmetic dynamics and modular forms , combining tools from algebraic geometry, Galois theory, and p-adic analysis. Her work often involves collaborative efforts across institutions, focusing on irreducibility, supercongruences, and stochastic aspects of adelic measures. These contributions place her at the intersection of pure number theory and dynamical systems. She has been actively involved in the academic community through speaking engagements and organizing special sessions, including at the AWM Research Symposium and regional number theory conferences. Bella Tobin has held postdoctoral positions at Oklahoma State University (2019–2022) and Oregon State University (2022–2023), working with Paul Fili and Clay Petsche respectively. She continues summer collaborations with Thrive Scholars, indicating ongoing mentorship and outreach. While formal advisees are not listed, her collaborative research suggests strong engagement with junior mathematicians and students. She maintains a research presence through her personal website and arXiv publications, and is committed to inclusive and accessible mathematics education, aiming to make the subject approachable and engaging for all students.

Ivan B. Penkovمشاهده پروفایل

استاد مدعو

• Lie Theory
• Representation Theory
• Algebraic Geometry
• +۲ مورد دیگر

Ivan B. Penkov is an Adjunct Professor of Mathematics at Constructor University Bremen, Germany, with a distinguished career in Lie theory, representation theory, and algebraic geometry. He earned his Master's degree from Moscow State University (1982) and Ph.D. from Steklov Mathematical Institute (1987). His academic journey includes tenured professorships at the University of California at Riverside (1991-2004) and a long-standing professorship at Jacobs University Bremen (2004-2023), followed by his current adjunct role. Education: Master in Mathematics, Moscow State University (1982) Candidate of Physical and Mathematical Sciences (PhD), Steklov Mathematical Institute (1987) Penkov's research focuses on representations of finite and infinite-dimensional Lie algebras and superalgebras, generalized Harish-Chandra modules, geometry of supermanifolds, and homogeneous ind-spaces. His work bridges pure mathematics with mathematical physics, emphasizing infinite-dimensional structures and their applications. Recent publications highlight advancements in bounded weight modules for Lie superalgebras at infinity, topological tensor representations, and automorphism groups of ind-varieties of generalized flags. These works reflect his deep engagement with categorification, geometric methods, and infinite-dimensional algebraic structures. Scientific awards and grants include multiple NSF and DFG grants, a Volkswagen Foundation grant, and the Batsheva de Rothschild Fellowship (2023). He has coorganized significant conferences and programs, such as the California Lie Theory Program and the German-Israeli workshop on symplectic geometry and representation theory. Penkov's advisees include PhD and MSc students like Aleksandr Fadeev, Elitza Hristova, Siarhei Markouski, and Todor Milev, many of whom have contributed to Lie theory and algebraic geometry. He has also mentored postdocs and collaborated with institutions worldwide, including Yale University, UC Berkeley, and the Max Planck Institute of Mathematics in Bonn.

Anna Puskasمشاهده پروفایل

پژوهشگر ارشد

• Number Theory
• Algebraic Combinatorics
• Representation Theory
• +۳ مورد دیگر

Dr. Anna Puskas holds the position of Honorary Research Fellow at the School of Mathematics and Physics, The University of Queensland, where she maintains active research collaborations within Australia's premier mathematical sciences institution. Her scholarly work bridges abstract algebraic structures with concrete number-theoretic applications, reflecting deep engagement with both theoretical frameworks and cryptographic implementations. Her research program centers on four interconnected pillars: Number Theory & Cryptography : Developing Ramanujan graph applications for post-quantum cryptography and analyzing class field theory in multiquadratic extensions Algebraic Combinatorics : Constructing crystal bases through combinatorial representation theory and Kashiwara operator frameworks Representation Theory : Investigating metaplectic covers of Kac-Moody groups and their Whittaker function decompositions Lie Theory : Exploring t-deformed root multiplicities and correction factors in infinite-dimensional Lie algebras Analysis of her 2012-2019 publications reveals an evolving trajectory from classical invariant theory toward cutting-edge metaplectic representation theory. Her work demonstrates increasing sophistication in handling p-adic groups and automorphic forms, particularly through novel constructions of Whittaker functions on metaplectic covers. The cryptographic applications of her number-theoretic work—especially Ramanujan graphs—show practical impact beyond pure mathematics, while her crystal basis research provides essential combinatorial tools for representation theorists. No scientific awards or honors were documented in available institutional records. Similarly, details regarding graduate student supervision, research grant funding, or laboratory affiliations were not provided in the source materials, suggesting her honorary fellowship may focus primarily on independent research collaboration rather than formal teaching or administrative duties.