جستجوی استاد راهنمای دانشگاهی

Davide Cesare Venianiمشاهده پروفایل

دانشگاهی

• 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.

Christopher Keyesمشاهده پروفایل

پژوهشگر

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

Dr. Christopher Keyes is a Heilbronn Research Associate in the Department of Mathematics at King’s College London, part of the Faculty of Natural, Mathematical & Engineering Sciences. He earned his PhD in Mathematics from Emory University in 2023 under David Zureick-Brown and holds a BS in Mathematics and Chemical Engineering from Tufts University (2018). Research Focus: Arithmetic statistics, arithmetic geometry, and number theory. Key Interests: Distribution of arithmetic objects (primes, number fields, points on varieties), local-global principles, and superelliptic curves. His research explores questions like the density of locally soluble equations and the distribution of rational points. Notable work includes contributions to arithmetic statistics and the study of solutions to Diophantine equations. Teaching and Mentoring: Instructed courses at Emory University and King’s College London, including Calculus and graduate-level arithmetic statistics. Actively mentors students through programs like the Directed Reading Program, focusing on topics such as elliptic curves, p-adic numbers, and baseball analytics. Outreach: Co-organized the Emory Math Circle and events like the Julia Robinson Math Festival, engaging K-12 students in mathematics.

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.

• Arithmetic Geometry
• Local Langlands Program
• P-adic Geometry
• +۳ مورد دیگر

Prof. Dr. Alexander Ivanov is a faculty member at the Faculty of Mathematics , Ruhr-Universität Bochum . His research focuses on Arithmetic Geometry , particularly the Local Langlands Program and P-adic Geometry . He supervises PhD students Felix Zillinger and Ihsane Hadeg . Research Trends : His work bridges Representation Theory and Algebraic Geometry , with recent preprints on meromorphic vector bundles and geometric local Langlands . Scientific Recognition : Recipient of the Humboldt Research Award . Academic Network : Collaborates with institutions like MPIM Bonn and University of Bonn .

Yifei Zhaoمشاهده پروفایل

پژوهشگر

• Arithmetic Geometry
• Langlands Program
• Cohomology Theories
• +۶ مورد دیگر

Dr. Yifei Zhao is an academic researcher at the Mathematical Institute , University of Münster , Germany, within the Department of Mathematics and Computer Science. His work bridges arithmetic geometry, algebraic topology, and representation theory through advanced cohomology theories and geometric Langlands program research. Position: Fixed-term Academic Councilor (Akademischer Rat auf Zeit) Contact: yifei.zhao@uni-muenster.de , +49 251 83-35172, Room 100,008 Research focuses on: Langlands Correspondences : Extending to p-adic coefficients, derived categories, and geometric unification via motivic methods Moduli Spaces : Geometry of local shtukas, étale sheaves, and their cohomological properties Topological Recursion : Connections to free probability and Baker–Akhiezer kernels Cohomology Theories : Unifying étale, crystalline, and de Rham cohomology in mixed characteristics His current projects include CRC 1442 A05/D03 and EXC 2044 A1 , with publications in journals like Compositio Mathematica and Journal of the European Mathematical Society . Collaborators include James Tao and Luozi Shi. Detailed lecture notes on scheme theory and geometric Langlands are available from his courses and winter school contributions.

Jefferson Jacques Christophe Baudinمشاهده پروفایل

پژوهشگر

• Algebraic Geometry
• Positive Characteristic Geometry
• Vanishing Theorems
• +۳ مورد دیگر

Jefferson Jacques Christophe Baudin serves as a Doctoral Assistant at École Polytechnique Fédérale de Lausanne (EPFL) within the School of Basic Sciences, Department of Mathematics, specifically in the Chair of Algebraic Geometry (CAG). He is concurrently enrolled as a PhD student in EPFL's Doctoral Program in Mathematics (EDMA) under the supervision of Professor Zsolt Patakfalvi. His research focuses on advanced topics in algebraic geometry, particularly: Positive and mixed characteristic algebraic geometry Vanishing theorems and their applications Singularities within the Minimal Model Program framework Generic vanishing theory P-adic cohomological structures His work represents cutting-edge research at the intersection of arithmetic and geometric methods in modern algebraic geometry. Based at MA Building, Station 8, Lausanne (CH-1015), he maintains active research operations through the CAG laboratory infrastructure while fulfilling doctoral requirements. Contact is facilitated via institutional email and office location MA C3 585.

• Arithmetic Geometry
• Algebraic Geometry
• p-adic Geometry
• +۲ مورد دیگر

Ahmed Abbes serves as a CNRS Research Director at the Institute of Advanced Scientific Studies (IHES) in Bures-sur-Yvette, France, where he holds a position equivalent to full professor rank. Affiliated with the Alexander Grothendieck Laboratory (UMR 9009 of CNRS), his office is located at Le Bois-Marie, 35, route de Chartres, and his primary contact is abbes@ihes.fr. His research program focuses on advancing fundamental structures in arithmetic geometry through innovative geometric and cohomological frameworks. Abbes' scholarly work centers on Arithmetic Geometry and Algebraic Geometry with specialized emphasis on p-adic Geometry, Cohomology Theory, and Ramification Theory. He investigates geometric and cohomological properties of sheaves on varieties over perfect fields of characteristic p>0 and p-adic fields, seeking applications to deep problems in number theory. His methodological approach combines rigid analytic techniques with étale cohomology to establish connections between representation theory and geometric structures. His major publications reveal a consistent trajectory in developing p-adic geometric theories, particularly through the p-adic Simpson correspondence program and rigid geometry foundations. These works demonstrate increasing sophistication in handling p-adic representations through Higgs bundles and advancing spectral sequence techniques for relative cohomological settings. Scientific recognition includes: CNRS Bronze Medal (2005) Distinguished Ordway Visitor at the University of Minnesota School of Mathematics (2016) Abbes contributes to the mathematical community as co-editor-in-chief of the Tunisian Journal of Mathematics and maintains active research leadership within the Alexander Grothendieck Laboratory at IHES, which fosters collaborative work in pure mathematics through international visitor programs and specialized seminars.

Vincent Lafforgueمشاهده پروفایل

پژوهشگر

• Mathematics
• Algebraic Geometry
• Langlands Program
• +۶ مورد دیگر

Vincent Lafforgue is a CNRS Researcher at the Institute Fourier , Université Grenoble Alpes, specializing in Algebraic Geometry and the Langlands Program . His work bridges mathematical physics , K-theory , and non-Archimedean geometry . Notably, he proved the Baum-Connes conjecture for certain discrete groups and established global Langlands correspondence for function fields. Education : Lycée Louis-le-Grand, École normale supérieure, University of Paris Advisor : Jean-Benoît Bost His research spans geometric representation theory , operator algebras , and geometric group theory . Recent publications focus on Shtukas for reductive groups and their role in global Langlands parameterization. Earlier works include proofs of property (T) variants and counterexamples to the Baum-Connes conjecture. Scientific awards include: EMS Prize (2000) CNRS Silver Medal (2015) Breakthrough Prize in Mathematics (2019) Lafforgue served as Plenary Speaker at ICM 2018 and co-organized the 2010 meeting Groups and Large-Scale Geometry . His technical contributions extend to p-adic valuations and automorphic form eigenvalues .

• Foundations of Complex Systems
• Abelian Varieties
• Finite Fields
• +۵ مورد دیگر

Valentijn Karemaker is an Assistant Professor at the Faculty of Science, Utrecht University , specializing in the Mathematical Institute under the Fundamental Mathematics sub-unit. He focuses on the Foundations of Complex Systems , with particular expertise in Abelian Varieties , Finite Fields , Galois Representations , and Isogeny Classes . His research bridges theoretical mathematics and computational methods, notably contributing to problems like Hilbert's Tenth Problem and the Gauss problem for central leaves . He has published extensively in top-tier journals and co-authored significant surveys on local-global principles. Scientific Awards : NWO-Veni Award (2019) Westerdijk Award (2021-2022) Utrecht Young Academy (2021) NWO-XL Award (2022) NWO-Vidi Award (2023) Grants and Collaborations : He has received competitive NWO awards, hosted international researchers like Chia Fu Yu and Mihran Papikian, and contributed to editorial work for the American Mathematical Society.

Alexander Petrovمشاهده پروفایل

پژوهشگر ارشد

• Number Theory
• Algebraic Geometry
• Galois Representations
• +۱ مورد دیگر

Dr. Alexander Petrov is a Research Fellow at the Massachusetts Institute of Technology (MIT). He will obtain his PhD in Mathematics from Harvard University in 2022, where he was advised by Professor Mark Kisin. Petrov's research focuses on advanced topics in number theory and algebraic geometry. Proved geometrically irreducible arithmetic local systems on varieties over p-adic fields are essentially de Rham (settling Litt's conjecture) Generalized Belyi's theorem to show irreducible Galois representations appear in algebraic functions on the thrice punctured sphere's fundamental group Provided counterexamples to Scholze's conjecture on Hodge symmetry for rigid analytic varieties He was appointed as a Clay Research Fellow starting July 1, 2022, for a five-year term.

Andrey Smirnovمشاهده پروفایل

دانشیار

• Enumerative geometry
• Mathematical physics
• Representation theory
• +۵ مورد دیگر

Andrey Smirnov is an Associate Professor of Mathematics at the University of North Carolina at Chapel Hill, where he also holds the distinguished position of William R. Kenan, Jr. Scholar. He is based in the Department of Mathematics within the College of Arts and Sciences, conducting research at the intersection of algebraic geometry, mathematical physics, and representation theory. His research spans several interconnected areas including enumerative geometry , mathematical physics , representation theory , combinatorics , and number theory . A particular focus of his work involves quantum K-theory, mirror symmetry, and integrable systems, where he has made significant contributions to understanding the deep connections between algebraic geometry and quantum physics. His recent publications demonstrate a consistent focus on quantum geometric methods and their applications to enumerative problems . The work prominently features themes of 3D mirror symmetry , quantum difference equations , and stable envelopes , establishing new bridges between algebraic geometry, representation theory, and mathematical physics. These contributions have advanced our understanding of quantum cohomology and K-theory of algebraic varieties. Scientific Honors: William R. Kenan, Jr. Scholar - a prestigious endowed professorship recognizing outstanding contributions to research and scholarship Contact Information: Email: asmirnov@live.unc.edu Office: 307A Phillips Hall, University of North Carolina at Chapel Hill Department: Department of Mathematics, College of Arts and Sciences

• Algebraic Geometry
• Number Theory
• Representation Theory
• +۵ مورد دیگر

Teruhisa Koshikawa serves as an Assistant Professor at Kyoto University's Research Institute for Mathematical Sciences (RIMS), focusing on fundamental intersections of algebraic geometry, number theory, and representation theory with significant implications for modern arithmetic geometry. His specialized research portfolio includes: Heights of pure motives Integral p-adic Hodge theory, particularly logarithmic prismatic cohomology K3 surfaces and their moduli spaces Shimura varieties and locally symmetric spaces The categorical local Langlands conjecture No scientific awards or honors were documented in the provided materials. Information regarding graduate student mentorship, research grants, or collaborative projects was not included in the available text.