جست‌وجوی استاد و پژوهشگر

• Representation Theory
• Lie Groups
• p-adic Groups
• +۵ مورد دیگر

Dan Ciubotaru is Professor of Mathematics at the University of Oxford's Mathematical Institute and Diana Brown Fellow and Tutor in Pure Mathematics at Somerville College. He completed his PhD at Cornell University in 2004 and maintains active research and teaching roles within the university's Mathematical, Physical and Life Sciences Division. His educational background includes: PhD in Mathematics, Cornell University (2004) Ciubotaru specializes in representation theory of reductive Lie groups and p-adic groups, with core focus areas including the unitary dual, local Langlands correspondence, affine Hecke algebras, Coxeter groups, and Dirac operators. His work bridges algebraic structures with harmonic analysis and number theory, particularly through the study of wavefront sets and unipotent representations. This research contributes significantly to understanding automorphic forms and geometric aspects of the Langlands program. Analysis of his 2022-2025 publications reveals concentrated advancement in wavefront set theory for p-adic groups, with recurring themes in unipotent representations, Langlands parameters, and symplectic Dirac operators. His work consistently connects representation-theoretic structures with geometric and arithmetic properties, demonstrating strong collaboration networks across international mathematics communities. His scientific recognition includes: Diana Brown Fellowship (Somerville College) MPLS Teaching Award (2017) Ciubotaru has secured significant research funding as Principal Investigator for EPSRC grants including "New Horizons" EP/V046713/1 (2021-2023) and EP/N033922/1 (2016-2020). He serves on editorial boards for Documenta Mathematica (2015-2024) and Quarterly Journal of Mathematics (2017-present), and teaches advanced courses including "Representations of semisimple Lie algebras" (C2.3). While no dedicated research labs are specified, his extensive co-authorship with scholars like Mason-Brown, Okada, and Barbasch indicates active participation in global representation theory networks, particularly through collaborations on p-adic group representations and Langlands program applications.

Mohsen Heidariمشاهده پروفایل

استادیار

• Quantum Computing
• Quantum Algorithms
• Theoretical Machine Learning
• +۳ مورد دیگر

Mohsen Heidari is an Assistant Professor in the Department of Computer Science at Indiana University, Bloomington. He is affiliated with the IU Quantum Science and Engineering Center (QSEc) and the NSF Center for Science of Information (CSoI). He previously held positions as a Visiting Assistant Professor at Purdue University and as a Postdoctoral Research Associate at CSoI. Ph.D. in Electrical Engineering (2019) and M.Sc. in Applied Mathematics (2017) from the University of Michigan His research focuses span quantum computing, theoretical machine learning, and information theory. Key themes include: Quantum algorithm design and sample complexity Fourier-based learning frameworks Quantum-classical duality in learning problems Information-theoretic approaches to biological systems Article trends show a strong emphasis on quantum-classical learning intersections (6/15 papers), Fourier analysis applications (5/15), and information-theoretic foundations (12/15). Notable venues include NeurIPS, IEEE Transactions, and ISIT. He directs research involving: Quantum Neural Network development Quantum measurement simulation Quantum data compression techniques Quantum algorithm implementation constraints

• Shimura Varieties
• Flag varieties and Grassmannians
• Representations of p-adic groups
• +۳ مورد دیگر

Thomas J. Haines is a Professor in the Department of Mathematics at the University of Maryland, College Park. His academic work centers on advanced topics in number theory and algebraic geometry, with significant contributions to the Langlands program and related fields. He maintains an active research profile with recent publications spanning geometric representation theory and arithmetic geometry. Research Focus: His primary interests include Shimura varieties, flag varieties and Grassmannians for groups and loop groups, representations of p-adic groups, and the Langlands program. These areas intersect with cutting-edge developments in arithmetic geometry and automorphic forms, particularly in the context of local models and geometric Satake theory. The analysis of his recent publications reveals a strong emphasis on geometric structures underlying number-theoretic objects. Key themes include the study of singularities in local models, normality properties of Schubert varieties, and combinatorial models for representation-theoretic constructions. His work frequently bridges abstract algebraic geometry with concrete arithmetic applications. Teaching Responsibilities: Currently instructing Math 406 (Introduction to Number Theory) and Math 636 (Representation Theory) for Fall 2024. His course materials extend to graduate-level topics including commutative algebra and Hecke algebras, reflecting his research expertise. Haines collaborates extensively with leading mathematicians including Timo Richarz, Joao Lourenco, and Ulrich Goertz. His editorial work includes co-editing the 2020 Cambridge University Press volume Shimura Varieties in the London Mathematical Society Lecture Note Series. While no explicit student lists or award mentions appear in available records, his sustained publication record since the early 2000s demonstrates significant scholarly impact.

• Analysis
• Analytic Number Theory
• Functional Analysis
• +۳ مورد دیگر

Kristian Seip is a Professor at the Department of Mathematical Sciences, Norwegian University of Science and Technology (NTNU), since 1993. He has held leadership roles, including Department Chair (1997–2001) and Vice Dean for Education at the Faculty of Information Technology, Mathematics and Electrical Engineering (2006–2012). He holds an MSc and PhD from NTNU. His research focuses on analysis and analytic number theory, with notable contributions to Dirichlet series, Hardy spaces, and operator theory. Key awards include the Frontiers of Science Award (2024), Doctor Honoris Causa from Universitat de Barcelona (2024), and Inaugural Fellow of the American Mathematical Society (2012). He is a member of prestigious academies like the Norwegian Academy of Science and Letters and the Royal Norwegian Society of Sciences and Letters. Seip has led major research projects, including the 2012–2013 Centre for Advanced Study program on Operator-Related Function Theory (co-leader with Yurii Lyubarskii) and multiple grants from the Research Council of Norway. His work emphasizes Fourier methods, multiplicative analysis, and interpolation theory.

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.

Katrina Honigsمشاهده پروفایل

استادیار

• Algebraic Geometry
• Arithmetic Geometry
• Derived Categories
• +۳ مورد دیگر

Katrina Honigs is an Assistant Professor in the Department of Mathematics at Simon Fraser University (SFU), located on the unceded traditional territories of the Coast Salish peoples. Her research focuses on algebraic and arithmetic geometry, particularly varieties over fields of positive characteristic, Q-rational points, and derived categories of coherent sheaves. She earned her Ph.D. in Mathematics from UC Berkeley in 2015, preceded by an MASt from the University of Cambridge (2009) and a BA from Grinnell College (2008). Her research explores topics such as derived equivalences, abelian varieties, and geometric structures like Kummer varieties. Recent work includes studies on symplectic involutions, theta characteristics, and the Brauer-Manin obstruction on Calabi-Yau threefolds. Honigs has taught courses at SFU (e.g., Math 818, 817, 240) and previously at the University of Utah and University of Oregon. She actively contributes to academic service, organizing conferences like the Mathematics Research Community on Derived Categories and co-organizing the SFU Number Theory and Algebraic Geometry seminar. Honigs has authored or co-authored over 15 refereed articles and preprints, with a focus on categorical methods in algebraic geometry and arithmetic applications. Her outreach includes talks on Pythagorean triples and algebraic geometry for diverse audiences. Professional activities include participation in workshops at institutions like BIRS and Cornell, reflecting her engagement with both foundational and applied aspects of her field.

Grigory Mikhalkinمشاهده پروفایل

استاد

• Geometry
• Topology
• Tropical Geometry
• +۲ مورد دیگر

Grigory Mikhalkin is a Full Professor at the University of Geneva, where he has been a faculty member since 2008. He is considered one of the founders of Tropical Geometry, a domain of algebraic geometry governed by (max,+)-calculus where geometric objects degenerate to their piecewise-linear limits. He leads the "ALGEBRA AND GEOMETRY" research group at the university. Mikhalkin studied at Leningrad and Michigan State University under the supervision of Oleg Viro and Selman Akbulut. After receiving his PhD in 1993, he completed postdoctoral training at Princeton, Bonn, Toronto, Berkeley, and Harvard (1993-2000). He served as associate and then full Professor at the University of Utah before moving to the University of Toronto, eventually joining the University of Geneva in 2008. Mikhalkin's primary research areas are Geometry and Topology, with a particular focus on Tropical Geometry. His work bridges algebraic geometry with combinatorial structures, exploring how complex geometric objects can be understood through their piecewise-linear tropical counterparts. This approach has proven fruitful in solving problems in enumerative geometry and has connections to mathematical physics through the study of sandpile models and self-organized criticality. His research group actively explores the connections between tropical geometry, symplectic geometry, and real algebraic geometry, organizing regular seminars including the "Séminaire Fables Géométriques." The recent publications of Professor Mikhalkin demonstrate a strong focus on the intersection of tropical geometry with sandpile models and self-organized criticality. His work has evolved to examine tropical aspects of number theory, lattice sums, and even applications to economics through auction theory. A significant portion of his recent research explores the patterns and structures that emerge in sandpile models across various lattices and dimensions, connecting discrete mathematics with continuum limits through tropical techniques. Prize of the St. Petersburg Mathematical Society (1999) Silver Medal of the Mexican Mathematical Society (2011) Canada Research Chair (2004-2009) Friedrich-Wilhelm-Bessel Research Award of the Alexander-von-Humboldt Foundation (2007-2008) European Research Council Advanced Grant (2010-2015) Chair of Fondation Sciences Mathématiques de Paris (2013-2015) Mikhalkin has successfully advised several PhD students to completion, including Kristin Shaw (2011), Lionel Lang (2014), Nikita Kalinin (2015), Mikhail Shkolnikov (2017), and Johannes Josi (2018). His research has been supported by prestigious grants including the ERC Advanced Grant and the Canada Research Chair. He presented his work at the Bourbaki seminar in 2003 and was selected as a Geometry speaker at the International Congress of Mathematicians in 2006, highlighting the significance of his contributions to the field. Professor Mikhalkin leads the "ALGEBRA AND GEOMETRY" research group at the University of Geneva, which includes current members Thomas Blomme, Francesca Carocci, Aloïs Demory, Gurvan Mével, and Antoine Toussaint. The group has a strong track record of postdoctoral fellows and alumni, including notable researchers such as Ivan Bazhov, Johan Bjorklund, Rémi Crétois, and others. They organize several seminars including the "Séminaire Fables Géométriques" and have historical connections to the Battelle Seminar and Tropical working group Seminar.

Jochen Heinlothمشاهده پروفایل

استاد

• Algebraic Geometry
• Moduli Spaces
• Algebraic Stacks
• +۷ مورد دیگر

Prof. Dr. Jochen Heinloth is a full Professor at the Faculty of Mathematics, University of Duisburg-Essen, where he leads a research group focused on algebraic geometry, moduli spaces, and algebraic stacks. He is actively involved in teaching, research, and seminar supervision, with a strong presence in both national and international mathematical communities. His research interests include Algebraic Geometry , Moduli Spaces , Algebraic Stacks , Higgs Bundles , and the Geometric Langlands Program . His work bridges abstract category-theoretic constructions with concrete geometric problems, particularly in the context of bundles and representations on algebraic curves. The most recent publications reflect a deep engagement with moduli theory, stability conditions, and geometric representation theory. Trends include the study of the P=W conjecture, support theorems for Hitchin fibrations, and structural results on algebraic stacks. His collaborations with leading mathematicians such as J. Alper, O. García-Prada, and Ngo Bao Chau highlight his central role in modern algebraic geometry. No scientific awards are mentioned in the provided text. Prof. Heinloth advises PhD students and junior researchers, as evidenced by his long-running Seminar on Stacks , where participants present advanced topics in algebraic geometry. He has supervised talks by X. Zhang, M. Zhou, and others, indicating active mentorship. While no grants are explicitly mentioned, his sustained research output and collaborations suggest ongoing funding support. He teaches a wide range of courses, from undergraduate algebra and analysis to advanced topics like Algebraic Geometry and Stacks. He leads the Research Group Heinloth , which organizes seminars and fosters collaboration on stacks, moduli, and related fields. The group hosts regular PhD-level seminars, often in collaboration with other researchers, and maintains a focus on both foundational and cutting-edge topics in algebraic geometry.

Yanki Lekiliمشاهده پروفایل

استاد

• Symplectic Topology
• Low Dimensional Topology
• Algebraic Geometry
• +۳ مورد دیگر

Yankı Lekili is a Professor of Geometry at the Department of Mathematics, Imperial College London, affiliated with the Faculty of Natural Sciences. His research focuses on symplectic topology, low-dimensional topology, and their connections to algebraic geometry and geometric representation theory. He explores topics including mirror symmetry conjectures, Fukaya categories, and homological mirror symmetry for various geometric structures. Education: PhD in Mathematics from MIT (2009), specializing in broken Lefschetz fibrations and Heegaard-Floer homology. Teaching: Courses include Elliptic Curves, Commutative Algebra, Algebraic Topology, and Representation Theory. Research Interests: Symplectic manifolds, Lagrangian submanifolds, derived equivalences, and categorical mirror symmetry applications. His work bridges symplectic geometry with algebraic geometry, particularly through mirror symmetry. Recent studies involve Fukaya categories of singularities, noncommutative crepant resolutions, and equivariant cohomology. He collaborates internationally, contributing to topics like the Fargues-Fontaine curve and Auslander algebras.

Rob Silversmithمشاهده پروفایل

مدرس

• Algebraic Geometry
• Moduli Spaces
• Tropical Geometry
• +۷ مورد دیگر

Rob Silversmith is a Warwick Zeeman Lecturer in the Warwick Mathematics Institute at the University of Warwick, with a focus on algebraic geometry and combinatorics. Starting Fall 2025, he will transition to an Assistant Professor role at Emory University. His academic journey includes a Ph.D. from the University of Michigan (2017), advised by Yongbin Ruan, and postdoctoral positions at Northeastern University and the Simons Center for Geometry and Physics. His research interests span algebraic geometry—particularly moduli spaces of curves, tropical geometry, and combinatorial structures—as well as connections to string theory, geometric rigidity, and dynamics. Key contributions include work on Gromov-Witten invariants, cross-ratio degrees, and the T-graph of Hilbert schemes. His recent publications (2021–2025) explore topics such as moduli spaces, tropical geometry, and combinatorial algebraic geometry, reflecting a blend of geometric and computational methods. Notable collaborations include work with R. Cavalieri, T. Kelly, and R. Ramadas on projects like Genus-zero r-spin theory and Equations at infinity for critical-orbit-relation families of rational maps . Rob has advised no listed graduate students but has contributed to interdisciplinary projects involving computer-aided conjecture-making. His scholarly activities include organizing seminars and maintaining an active presence in geometric research communities. He is affiliated with the Warwick Mathematics Institute and holds a position in the Zeeman Building. His work frequently intersects with combinatorial and computational approaches to algebraic geometry, emphasizing explicit polynomial constructions and data-driven conjectures.

Adrian Clingherمشاهده پروفایل

دانشیار

• Algebraic Geometry
• Data Science
• Machine Learning
• +۶ مورد دیگر

Adrian Clingher is an Associate Professor in the Department of Mathematics and Statistics at the University of Missouri-St. Louis (UMSL), within the College of Arts and Sciences. His research spans algebraic geometry, mathematical physics, and data science, with particular focus on K3 surfaces, modular forms, and string dualities. PhD in Mathematics, Columbia University (2002) Research interests include: Algebraic Geometry of special surfaces and fibrations Mathematical aspects of string theory dualities Data science and machine learning applications Moduli spaces and lattice polarizations Connections between algebraic geometry and number theory Recent work (2021-2025) examines K3 surfaces with specific automorphism groups, Néron–Severi lattice structures, and isogenies of abelian varieties. Publications often involve collaborations with A. Malmendier, C. Doran, and T. Shaska, exploring geometric structures relevant to theoretical physics. As Graduate Director for UMSL's Master's Program in Mathematics, Clingher oversees both Traditional Mathematics and Data Science emphases. Teaching includes courses like Discrete Structures and Statistical Learning & Modeling (Spring 2025). Contact: clinghera@umsl.edu | Office: ESH 350 | Phone: (314) 516-6338

Serban Raianuمشاهده پروفایل

استاد

• Hopf Algebras
• Quantum Groups
• Algebra
• +۵ مورد دیگر

Serban Raianu is a Professor in the Department of Mathematics at California State University Dominguez Hills since 2004. His research focuses on Hopf algebras , quantum groups , and their applications to algebraic structures. He has published extensively on topics such as graded rings , crossed coproducts , and co-Frobenius Hopf algebras , often collaborating with leading mathematicians like S. Dăscălescu and C. Năstăsescu. His work in number theory includes recent studies on arithmetic properties of 3-cycles in quadratic maps (2022), extending the abc conjecture and exploring connections to Diophantine equations . He has also contributed to linear algebra with a 2005 paper on Jordan forms and matrix optimization . Key research contributions: Hopf algebras acting on algebras and coalgebras Quantum groups and their representations Duality theories for finite Hopf algebras Dr. Raianu has received notable scientific awards , including the Gheorghe Titeica Prize from the Romanian Academy (2001) and the first prize in the annual scientific contest for students at the University of Bucharest (1981). He has advised undergraduate research projects on partition problems , harmonic number differences , and Green's theorem applications , supported by grants such as the PUMP Undergraduate Research Grant (2016-2017) and NSF-Cal State grant (2003-2006).

• Algebraic Combinatorics
• Representation Theory
• Number Theory
• +۴ مورد دیگر

Ziqing Xiang is an Associate Professor in the Department of Mathematics and the National Center for Applied Mathematics Shenzhen at Southern University of Science and Technology (SUSTech) . He completed his PhD at the University of Georgia (UGA) under the supervision of Daniel K. Nakano , with a dissertation titled "Representation theory for Iwahori-Hecke algebras and Schur algebras of classical type". Education: PhD in Mathematics, University of Georgia (UGA), 2019 Research Interests: His research lies at the intersection of algebraic combinatorics , representation theory , and number theory . Specific areas include: Combinatorics: association schemes, design theory, graph theory, symbolic dynamics, phylogenetic combinatorics Number Theory: Diophantine equations, finiteness of integral points, variable separated curves Representation Theory: algebraic groups, cohomology, Iwahori-Hecke algebras, quantum groups, Schur algebras Publications Overview: Dr. Xiang has published extensively in leading journals such as Advances in Mathematics , Journal of Algebraic Combinatorics , Discrete Mathematics , and Transformation Groups . His work spans theoretical classifications (e.g., tight designs, spherical designs), algebraic constructions (e.g., q-Schur algebras, quantum wreath products), and interdisciplinary applications (e.g., phylogenetic combinatorics). Contact & Affiliation: Email: xiangzq@sustech.edu.cn Office: College of Science M5005, SUSTech

Tyler Lawsonمشاهده پروفایل

استاد

• Algebraic topology
• K-theory
• Homotopy theory
• +۳ مورد دیگر

Tyler Lawson is a Professor in the School of Mathematics at the University of Minnesota, holding the distinguished Albert and Dorothy Marden Professorship. His office is located in Vincent Hall 323 at 206 Church Street SE, Minneapolis, MN 55455, and he can be reached at tlawson@umn.edu or (612) 625-6802. Professor Lawson's research focuses on algebraic topology and K-theory, with significant contributions to homotopy theory, quandles, stable homotopy theory, and braided Hopf algebras. His work bridges abstract algebraic structures with topological applications, particularly exploring connections between category theory and homotopy-theoretic constructions. He has made notable advances in understanding filtrations and derived spaces, the generating hypothesis in stable homotopy theory, and the homotopy theory of quandles as they relate to knot invariants. Analysis of his recent publications reveals a strong emphasis on structural theorems in algebraic topology, with particular attention to equivariant phenomena, rational homotopy theory, and connections to arithmetic statistics. His research demonstrates sophisticated interplay between combinatorial structures and topological invariants, often revealing unexpected connections between seemingly disparate mathematical domains. Albert and Dorothy Marden Professor Professor Lawson actively advises graduate students and participates in the topology seminar series at the University of Minnesota, where he has presented on topics ranging from filtrations and derived spaces to the generating hypothesis. His research program includes collaborations with mathematicians across institutions, contributing to advancements in homotopy theory and its applications to other mathematical fields. He maintains an active research group focused on exploring the frontiers of algebraic topology and its connections to related disciplines.

Yves Andréمشاهده پروفایل

استاد

• Number Theory
• Algebraic Geometry
• p-adic Analysis
• +۴ مورد دیگر

Yves André is a Research Director 1st Class at CNRS (French National Center for Scientific Research), working at École Normale Supérieure de Paris in the Département de Mathématiques et Applications. He maintains strong affiliations with Université Paris 6 and the Institut de Mathématiques de Jussieu. André's research centers on the deep connections between number theory and algebraic geometry, with particular expertise in p-adic analysis, motivic theory, and arithmetic differential equations. His work has fundamentally advanced our understanding of p-adic differential equations, Galois representations, and the theory of motives through rigorous proofs of major conjectures including Dwork's conjecture and Crew's local monodromy conjecture. His publication record shows a consistent progression from solving specific conjectures to developing comprehensive theoretical frameworks that bridge different mathematical disciplines. The recurring themes across his work include the interplay between geometry and arithmetic, the structure of differential equations in p-adic contexts, and the development of motivic tools for number-theoretic problems. Foreign Member of the Venetian Academy (2007) Doisteau-Blutet Prize of the French Academy of Sciences (2011) Kempf Lectures (Baltimore 2006) Albert Lectures (Chicago 2009) Ordway Lectures (Minneapolis 2012) André has supervised four PhD theses and has been an active contributor to the mathematical community through numerous international mini-courses and conference organization. His leadership roles include serving on the National Committee of the Department of Mathematics at CNRS (2004-08), directing the mathematical monograph series 'Astérisque' for the French Mathematical Society (2005-11), and responsibility for the Paris node of the network ANR 'Galois theories' (2006-09). He is also a member of the 'collectif Histoire-Philosophie-Sciences' at ENS and a trustee of Rendiconti di Padova.