جست‌وجوی استاد و پژوهشگر

Johan Taflinمشاهده پروفایل

مدرس

• Complex Dynamics
• Pluripotential Theory
• Dynamical Systems
• +۲ مورد دیگر

Johan Taflin is a Lecturer at the University of Burgundy, affiliated with the Institute of Mathematics of Burgundy (IMB) under the Faculty of Science. His research focuses on complex dynamics in several variables and pluripotential theory, with significant contributions to attracting sets, equidistribution, and moduli spaces of dynamical systems. He has led the ANR DynAtrois project since 2025 and oversees the new Master of Mathematics program launching in 2025. Research Interests: Complex dynamics in projective spaces and several variables Pluripotential theory and its applications Dynamical systems, attractors, and moduli spaces Interdisciplinary links with mathematical physics and algebraic geometry Publications Trends: His work spans complex dynamics, including studies on blenders, postcritically finite maps, and equidistribution toward Green currents. Key subfields include holomorphic endomorphisms, algebraic geometry, and mathematical physics. Leadership: He directs the ANR DynAtrois project (2025–2030) and manages the Dijon Master of Mathematics program, which emphasizes fundamental and applied mathematics with ties to artificial intelligence.

Sug Woo Shinمشاهده پروفایل

استاد

• Number Theory
• Automorphic Forms
• Algebraic Geometry
• +۶ مورد دیگر

Sug Woo Shin is a Professor of Mathematics at the University of California, Berkeley ( Math Genealogy , MathSciNet Profile ). His research focuses on Number Theory and Automorphic Forms, with significant contributions to the Langlands Program, Shimura varieties, and cohomology of arithmetic spaces. Editorial roles: Astérisque , Manuscripta Mathematica , Journal of the Korean Mathematical Society Recent research explores cohomological properties of locally symmetric spaces, tempered A-packets for classical groups, and modularity of symplectic Galois representations Collaborators include Ana Caraiani, Mark Kisin, Arno Kret, and Peter Scholze He has supervised PhD theses on topics like affine Deligne-Lusztig varieties, specialization maps in Scholze's category of diamonds, and statistical properties of automorphic representations. Teaching includes graduate courses on Number Theory (254A/254B), undergraduate Linear Algebra (110), and Calculus (1A), as well as seminars on global Langlands reciprocity and p-adic cohomology theories. Co-organized conferences include the BIRS workshop on Langlands programs (2025), PRIMA algebraic number theory sessions (2022), and KAST Symposium on automorphic forms (2021). His work appears in journals like Annals of Mathematics, Duke Mathematical Journal, and Compositio Mathematica.

Jianqi Liuمشاهده پروفایل

پژوهشگر ارشد

• Vertex Operator Algebras
• Conformal Field Theory
• Mathematical Physics
• +۳ مورد دیگر

Jianqi Liu is a Hans Rademacher Research Fellow in the Department of Mathematics at the University of Pennsylvania, affiliated with the School of Arts and Sciences. His research focuses on vertex operator algebras (VOAs) and 2D conformal field theory (CFT), with an emphasis on algebraic structures such as fusion rules, Zhu’s algebras, Borel-type subalgebras, and connections to the classical Yang-Baxter equation. He also explores geometric aspects of VOAs and their physical interpretations. He earned his Ph.D. in Mathematics from the University of California, Santa Cruz (2018–2023), under the supervision of Chongying Dong. Prior to his current role, he held teaching roles at both UPenn and UCSC, instructing courses ranging from advanced linear algebra to complex analysis and number theory. His research publications address topics such as twisted conformal blocks, Rota-Baxter operators, and the interplay between algebraic structures and integrable systems. Liu collaborates with researchers like Angela Gibney and Daniel Krashen, focusing on advancing theoretical frameworks in mathematical physics and algebraic geometry.

• Cryptography
• Post-Quantum Cryptography
• Elliptic Curve Cryptography
• +۳ مورد دیگر

David Jao is a Professor in the Department of Combinatorics and Optimization at the University of Waterloo. His research focuses on post-quantum cryptography, particularly leveraging isogenies of supersingular elliptic curves for secure cryptographic protocols. He is renowned for co-developing the Supersingular Isogeny Key Encapsulation (SIKE) protocol, a leading candidate for post-quantum cryptography standards. His work spans theoretical foundations and practical implementations, including optimizing isogeny-based systems for embedded devices and ARM processors. Research interests include isogeny-based cryptosystems, elliptic curve cryptography, zero-knowledge proofs, and cryptographic security against quantum attacks. He explores applications of expander graphs and Ramanujan graphs in cryptography, alongside algorithmic improvements for cryptographic protocols such as SIDH (Supersingular Isogeny Diffie-Hellman). Key contributions include advancements in key compression techniques for SIKE, side-channel attack mitigation, and formalizing security models for post-quantum key exchange. His publications analyze cryptographic hardness assumptions, such as the discrete logarithm problem in finite groups and the semidirect product structure in isogeny-based systems. Jao’s work bridges theoretical mathematics and applied cryptography, with a focus on ensuring practical security in next-generation cryptographic systems. His research addresses challenges in quantum-resistant authentication, key establishment, and digital signatures, often emphasizing efficiency and resistance to both classical and quantum attacks.

• Algebra
• Geometry
• Topology
• +۵ مورد دیگر

Jonas Bergström is a Professor in the Department of Mathematics at Stockholm University specializing in Algebra, Geometry, Topology, and Combinatorics. His research focuses on arithmetic geometry, moduli spaces, Siegel modular forms, and number theory, with extensive collaborations across international institutions including KTH Royal Institute of Technology. His research interests span algebraic geometry, topology, combinatorics, and number theory, with particular emphasis on moduli spaces of curves, abelian varieties, Siegel modular forms, and arithmetic geometry. Bergström's work bridges theoretical mathematics with computational approaches, often developing algorithms for complex mathematical structures. His research group actively explores commutative and homological algebra, complex and real algebraic geometry, arithmetic geometry, homotopy theory, and Ramsey theory. The most recent publications reveal a strong focus on cohomology of moduli spaces, Siegel modular forms, abelian varieties over finite fields, and L-functions. His work demonstrates a consistent pattern of combining algebraic geometry with number theory, particularly investigating arithmetic properties of algebraic varieties and developing computational methods for modular forms. The research shows increasing emphasis on algorithmic approaches and connections to theoretical physics through moduli space cohomology. Bergström has supervised several PhD students including Sjoerd de Vries (current), Stefano Marseglia, and Olof Bergvall (with Prof. Carel Faber). He currently mentors postdoctoral researchers Séverin Philip and Thomas Wennink, while former postdocs include Angelina Zheng, Valentijn Karemaker, Oliver Leigh, and Alex Samuel Bamunoba. His research is supported through collaborations with major mathematical networks including the Nordic number theory network and joint seminars with KTH. He is affiliated with the Algebra and Geometry Seminar (KTH and SU) and maintains active research connections through multiple collaborative projects, including joint work with Gerard van der Geer and Carel Faber on Hecke operators and Siegel modular forms. Bergström also contributes to open mathematical research through GitHub repositories containing computational results on cohomology of moduli spaces.

Holly Kriegerمشاهده پروفایل

استاد

• Arithmetic Dynamics
• Complex Dynamics
• Algebraic Geometry
• +۱ مورد دیگر

Professor Holly Krieger is a faculty member at the University of Cambridge , affiliated with the Faculty of Mathematics and the Department of Pure Mathematics and Mathematical Statistics . Her research focuses on Arithmetic Dynamics , Complex Dynamics , and Algebraic Geometry , with recent work on rational periodic points and Manin-Mumford conjectures. Role : Professor Email : hkrieger@dpmms.cam.ac.uk Her research spans dynamical systems with applications to number theory and algebraic geometry. Key contributions include studies on birational maps, preperiodic points, and cohomological properties of endomorphisms. Recent publications (2024–2012) highlight her expertise in arithmetic and complex dynamics, with a focus on rational maps, Galois representations, and equidistribution problems. Email : hkrieger@dpmms.cam.ac.uk Room : E1.19 Phone : 01223 337970 Homepage : Personal Page

Myrto Mavrakiمشاهده پروفایل

استادیار

• Arithmetic Geometry
• Dynamical Systems
• Unlikely Intersections
• +۷ مورد دیگر

Myrto Mavraki is an Assistant Professor in the Department of Mathematics at the University of Toronto, with affiliations to both the St. George and Mississauga campuses. She specializes in arithmetic geometry and dynamical systems, particularly the theory of unlikely intersections and canonical heights in families of rational maps. Institution: University of Toronto School: Faculty of Arts and Science Department: Department of Mathematics Rank: Assistant Professor Her research focuses on deep connections between arithmetic geometry and dynamical systems. Key areas include equidistribution, variation of canonical heights, preperiodic points, and unlikely intersections in families of maps, especially on the projective line and in elliptic surfaces. These topics lie at the heart of modern arithmetic dynamics and have strong ties to Diophantine geometry and number theory. The most recent publications show a sustained focus on canonical height variation, equidistribution, and the geometry of post-critically finite and preperiodic loci in parameter spaces. Collaborations with leading mathematicians such as Laura DeMarco, Harry Schmidt, and Hexi Ye reflect her central role in current developments in arithmetic dynamics. Her work combines algebraic, analytic, and arithmetic techniques to solve deep conjectures and establish foundational results. Her research is supported by an NSERC Discovery Grant and an Early Career Supplement (2024–2029), and previously by an NSF grant (DMS-2200981). She has mentored or collaborated with several prominent researchers and is likely supervising graduate students, though none are explicitly named. She does not list formal awards, but her publication record in top journals and prestigious fellowships indicate high recognition in the mathematical community. Mavraki held the Benjamin Peirce Fellowship at Harvard (2020–2023), a highly competitive postdoctoral position, and prior positions at the University of Basel and Northwestern University. She earned her PhD from the University of British Columbia under Dragos Ghioca.

Thomas Scanlonمشاهده پروفایل

استاد

• Mathematical Logic
• Model Theory
• Number Theory
• +۴ مورد دیگر

Thomas Scanlon is Professor of Mathematics at the University of California, Berkeley and serves as Vice-Chair for Graduate Affairs in the Berkeley Senate. He is additionally affiliated with the campus-wide Group in Logic and the Methodology of Science. His research lies at the intersection of mathematical logic and number theory, with a focus on model theory and its applications to diophantine geometry, difference and differential algebra, and arithmetic dynamics. Education S.B., University of Chicago, 1993 Ph.D., Harvard University, 1997 Research Interests Scanlon’s work centers on model theory , especially o-minimality , stability theory , and geometric model theory . He applies these logical tools to problems in diophantine geometry such as the André–Oort and Zilber–Pink conjectures, studies difference and differential algebraic structures, and investigates arithmetic dynamics of rational maps and Drinfeld modules. Publications Overview Since 1997 he has authored or co-authored more than sixty research papers. Recurring themes include the model theory of valued and difference fields, jet and prolongation spaces, effective bounds in diophantine problems, and functional transcendence results. Recent work (2018-2025) explores differential Chow varieties, strong minimality of modular functions, effective elimination procedures for differential-difference equations, and uniformity questions in diophantine geometry. Doctoral Supervision Scanlon has supervised at least sixteen Ph.D. theses at UC Berkeley, covering pure model theory, diophantine geometry, differential algebra, and stability theory. Students graduated between 2002 and 2022 include Alice Medvedev, Dragos Ghioca, Alex Kruckman, and Benjamin Castle. Contact & Office Email: scanlon@math.berkeley.edu Office: 723 Evans Hall, UC Berkeley Phone: (510) 642-3665

• Semigroup Theory
• Tropical Algebra
• Geometric Group Theory
• +۵ مورد دیگر

Mark Kambites is a Professor of Pure Mathematics at the University of Manchester , affiliated with the Department of Mathematics. His research focuses on semigroup theory, tropical algebra, geometric group theory, and formal languages. He holds roles including membership in the EPSRC Strategic Advisory Team (SAT) and editorial positions in journals like the International Journal of Algebra and Computation. Education: M.Math. Mathematics and Computer Science, University of York (2000) Ph.D. Pure Mathematics, University of York (2003) Research Interests: Kambites explores semigroup structures, tropical algebra's applications, and interactions between algebra and geometry. Key areas include matrix semigroups over tropical semifields, combinatorial group theory, and computational complexity. His work bridges pure mathematics and theoretical computer science. Grants and Collaborations: Leads the Centre for Digital Trust and Society (EPSRC-funded) and collaborates internationally. Serves as central organizer of the North British Semigroups and Applications Network (NBSAN). Affiliations: Active in the Algebra Group, Tropical Mathematics Group, and Data Science Institute at Manchester. Supervises PhD/MSc students in algebraic and computational mathematics.

Colin Ingallsمشاهده پروفایل

استاد

• Noncommutative Algebra
• Algebraic Geometry

Colin Ingalls is a Full Professor in the School of Mathematics and Statistics at Carleton University. His research focuses on Noncommutative Algebra and Algebraic Geometry, with contributions to areas such as noncommutative resolutions, quiver representations, and birational geometry. He has advised numerous graduate students, including Master’s and PhD candidates, whose theses cover topics like Hochschild cohomology, McKay quivers, and Brauer pairs. Ingalls has an extensive publication record, with recent work exploring reflection groups, discriminant loci, and derived categories of algebraic structures. His research interests span the intersection of algebra and geometry, emphasizing noncommutative methods to address classical geometric problems. He maintains active collaborations, evidenced by co-authored papers on topics such as minimal model programs for orders and applications of Koszul duality. Ingalls’ work bridges abstract algebraic theory with geometric constructions, contributing to foundational advancements in these fields.

Emily Wittمشاهده پروفایل

دانشیار

• Commutative Algebra
• Algebraic Geometry
• Representation Theory
• +۳ مورد دیگر

Emily Witt is an Associate Professor in the Department of Mathematics at the University of Kansas (KU), affiliated with the Institute for Information Sciences. She holds a Ph.D. in Mathematics from the University of Michigan (2011) and a B.S. in Mathematics with Honors and Computer Science specialization from the University of Chicago (2005). Her research focuses on commutative algebra and its intersections with algebraic geometry, representation theory, and singularity theory. Professional Appointments: Associate Professor at KU (2020–present), Michler Scholar at Cornell University (2022–23), Keeler Intra-University Professor (2021–22). Grants: NSF CAREER Award (2020–25), Simons Foundation Collaboration Grant (2018–21). Her research interests include local cohomology, Frobenius endomorphism, D-module theory, and computational algebra. She has developed software packages for Macaulay2, such as FrobeniusThresholds and TestIdeals. Awards include the Ruth I. Michler Memorial Prize (2022–23), Morrison Teaching Award (2019), and multiple grants supporting her work in commutative algebra. She advises Ph.D. students and mentors postdocs while maintaining active roles in professional service, including editorial work and organizing conferences like the Women in Commutative Algebra Workshop. Her teaching spans courses in algebra, cryptography, and analysis.

• Model Theory
• Mathematical Logic
• Algebra
• +۴ مورد دیگر

David M Evans holds the position of Chair in Pure Mathematics at the Department of Mathematics, Faculty of Natural Sciences, Imperial College London. His academic career spans several decades with continuous research contributions in mathematical logic and its interdisciplinary applications. Professor Evans' research focuses on the theoretical foundations and practical applications of Model Theory, with particular emphasis on: Stability theory and its generalizations within model-theoretic frameworks Hrushovski constructions and their geometric properties Interactions between model theory, algebra, and combinatorics Automorphism groups of infinite structures Ramsey properties in sparse graphs and metric spaces His publication record demonstrates consistent innovation in geometric model theory, with recent work exploring amalgamation properties in measured structures, simplicity of automorphism groups, and EPPA (Extension Property for Partial Automorphisms) in various mathematical structures. His research bridges abstract model-theoretic concepts with concrete combinatorial and algebraic applications, particularly in the study of homogeneous structures and their automorphism groups. Professor Evans has supervised numerous doctoral students including D. G. D. Gray, Reinhold Konnerth, Herwig Nuebling, Marco Antonio Semana Ferreira, Yibei Li, and Robert Sullivan. His research has been supported by grants such as 'Model theory of generic structures and simple theories' and the 'Workshop on Pure Model Theory,' reflecting the significance of his contributions to the field.

Martin Hilsمشاهده پروفایل

استاد

• Model Theory
• Set Theory
• Geometric Stability Theory
• +۴ مورد دیگر

Prof. Dr. Martin Hils is a Professor of Mathematical Logic at the University of Münster's Faculty of Mathematics and Computer Science, affiliated with the Institut für Mathematische Logik und Grundlagenforschung. His expertise lies in model theory and set theory, focusing on geometric stability, simplicity theory, valued fields with automorphisms, and Hrushovski amalgamation. Education: Habilitation in Mathematics (2013, Université Paris Diderot) PhD in Mathematics (2006, Université Paris 7 and Lyon 1) Master (DEA) in Logic and Computer Science (2002, Paris 7) Diploma in Mathematics with Philosophy (2001, University of Bonn) Research Interests: Model theory of valued fields, geometric stability/simplicity theories, Hrushovski amalgamation techniques, and applications to algebraic geometry and differential fields. His work bridges abstract model theory with concrete mathematical structures. Recent Research Trends: Focus on non-archimedean geometry, separably closed valued fields, Lang-Weil estimates in difference fields, and definable retraction principles. His articles explore topics like Ax-Kochen-Ershov principles, domination monoids in valued fields, and beautiful pairs in unstable theories. Grants & Projects: Lead investigator in DFG Cluster of Excellence EXC 2044 (Groups, Model Theory and Sets) Principal investigator in 'Model Theory of Valued Fields with Endomorphism' (DFG 2022-2025) GeoMod project (geometric/combinatorial configurations in model theory, DFG 2020-2024) Contributor to SFB 878 (model theory of valued fields and definable groups) Teaching & Supervision: Current courses include Model Theory of Pseudofinite Fields and Logic Foundations. Supervised PhD students include Pierre Touchard (2020) and Rémi Jaoui (2017). Jointly supervises Simone Ramello and Zixuan Zhu. Editorial Work: Editor-in-chief of Model Theory journal. Authored textbook A First Journey through Logic (AMS 2019).

• Topology
• Algebraic Topology
• Homotopy Theory
• +۳ مورد دیگر

Dr. Maxime Ramzi is a Researcher at the University of Münster, affiliated with the Mathematisches Institut and the Faculty of Mathematics and Computer Science. He is an Investigator in Mathematics Münster and a member of the Collaborative Research Centre (CRC) 1442 'Geometry: Deformations and Rigidity'. Previously, he completed his PhD at the University of Copenhagen under the supervision of Jesper Grodal and Markus Land. His research focuses on advanced topics in topology, including algebraic topology, homotopy theory, and category theory, with particular emphasis on ∞-categories, motives, and homological algebra. His recent publications explore foundational questions in these areas, such as the universality of Barwick’s unfurling construction and the properties of topological Hochschild homology. Ramzi collaborates with leading mathematicians like Thomas Nikolaus, Arthur Bartels, and Maria Yakerson. His work contributes to the 'K-Groups and Cohomology' research program within Mathematics Münster. Despite no listed scientific awards, his academic trajectory reflects a strong focus on innovative research in geometric and algebraic topology. Education: PhD in Mathematics, University of Copenhagen (2024) Supervisors: Jesper Grodal and Markus Land Research Interests: Algebraic Topology: Homotopy Theory, ∞-Categories Categorical Structures: Motives, Stable Homotopy Theory Applications in Algebraic Geometry and K-Theory Grants & Projects: Member of CRC 1442 'Geometry: Deformations and Rigidity' Contributor to 'K-Groups and Cohomology' (T1) program Labs/Teams: Active in the working groups of Professors Thomas Nikolaus and Arthur Bartels at the University of Münster.

Ilke Canakciمشاهده پروفایل

استادیار

• Cluster Algebras
• Combinatorics
• Algebra
• +۳ مورد دیگر

Dr. Ilke Canakci is an Assistant Professor in the Department of Mathematics at Vrije Universiteit Amsterdam. She specializes in cluster algebras, combinatorics, and representation theory. Her research focuses on algebraic structures like perfect matchings, derived categories, and triangulations. She teaches Discrete Mathematics, Group Theory, and Linear Algebra courses. Key collaborators include researchers from institutions worldwide. Her recent work explores cluster categories for infinity-gons and infinite friezes related to annulus triangulations. Awards and grants are not explicitly mentioned, but her extensive publication record reflects active research in algebraic geometry and combinatorial mathematics. Research Interests: Cluster algebras, categorification of geometric structures, combinatorial patterns, representation theory of algebras, and applications of algebraic methods to geometric problems. Current projects involve extending Caldero-Chapoton maps and analyzing frieze patterns in non-traditional geometries.