جستجوی استاد راهنمای دانشگاهی

Dr. Macarena Covadonga Robles Arenas is a Research Fellow at Clare College and a member of the Department of Pure Mathematics and Mathematical Statistics (DPMMS) at the University of Cambridge. She holds a PhD from DPMMS (supervised by Henry Wilton), a Master's from McGill University (supervised by Dani Wise), and a Bachelor's from UNAM (supervised by Max Neumann-Coto). Her research focuses on geometric group theory and geometric topology, including non-positively curved cube complexes, hyperbolic groups, and low-dimensional topology. She organizes the Cambridge Geometric Group Theory Seminar and previously co-organized the Junior Geometry Seminar and the virtual Geometric Group Theory without Boundaries summer school. Her work explores cubulation, small-cancellation theory, and asphericity in geometric contexts. She teaches advanced courses such as 'Cubulating spaces and groups' and has authored multiple influential papers in top journals like the Bulletin of the London Mathematical Society and International Mathematics Research Notices. Her research interests span hyperbolicity, cubical structures, and geometric properties of groups, with a focus on applying geometric techniques to algebraic problems. She actively contributes to the mathematical community through teaching, organizing conferences, and collaborative research initiatives.

• Geometric Group Theory
• Geometric Topology
• Low-Dimensional Topology
• +۳ مورد دیگر

Yuri Berest is a Professor in the Department of Mathematics at Cornell University, affiliated with the College of Arts and Sciences. He holds a Ph.D. from Université de Montreal (Canada, 1997). His research focuses on representation theory, noncommutative geometry, algebraic geometry, homological algebra, and mathematical physics, with a particular emphasis on their interdisciplinary interactions. Recent work explores derived algebraic geometry, algebraic homotopy theory, and their applications in representation theory and low-dimensional topology. Notable research interests include derived representation schemes, cyclic homology, Cherednik algebras, and quasi-invariants of reflection groups. He has been honored with the 2019 Simons Fellowship. His teaching includes advanced courses such as Homotopy Theory (MATH 6540) and Lie Groups and Lie Algebras (MATH 6390). Advising activities are reflected through supervised research courses (e.g., MATH 4900). Education: Ph.D. in Mathematics, Université de Montreal, 1997 Awards: Simons Fellowship in Mathematics, 2019 Grants & Funding: Not explicitly detailed in available texts His publications span foundational topics in algebraic structures and their geometric/topological manifestations, with applications to mathematical physics. Collaborative work includes studies on representation homology and algebraic homotopy theory.

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

Viktor Burghardt is an Assistant Professor in the Department of Mathematics at the University of Michigan, part of the College of Literature, Science, and the Arts (LSA). He holds a Ph.D. in Mathematics from Northwestern University, as well as M.S. degrees from Northwestern University and ETH Zurich, and a B.S. from KIT Karlsruhe. His research focuses on motivic homotopy theory, with contributions to topics such as the motivic Steenrod algebra and Witt cohomology. He has organized academic seminars including the Motivic Seminar (Northwestern University, 2020) and the Étale Reading Group (Northwestern University, 2020). His preprint The Dual Motivic Witt Cohomology Steenrod Algebra (2021) reflects his expertise in this field. Dr. Burghardt has taught courses such as Math 214 (Applied Linear Algebra) at the University of Michigan. He actively participates in academic outreach and collaborative research, with a strong emphasis on algebraic topology and geometric structures.

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

Yakov Eliashberg is the Herald L. and Caroline L. Ritch Professor of Mathematics at Stanford University, Department of Mathematics. His research focuses on symplectic geometry, topology, and several complex variables. He has advised at least one student, Eric Kilgore. Key contributions include work on contact structures, Lagrangian submanifolds, and the h-principle. His recent articles (2021–2024) explore topics like arboreal models, Weinstein manifolds, and symplectic rigidity/flexibility. He has authored textbooks such as Introduction to the h-Principle and contributed to foundational works in symplectic topology. Research interests span geometric topology, symplectic field theory, and interactions between contact and conformal structures. His work bridges abstract mathematical frameworks with concrete geometric constructions, emphasizing both theoretical rigor and applications in complex analysis. Publications since 2015 highlight themes of geometric stability, Lagrangian embeddings, and the topology of contact structures. While no specific awards are listed here, his extensive contributions to symplectic geometry have established him as a leading figure in the field. He has also engaged in pedagogical efforts, expanding course materials for advanced mathematical topics.

• Symplectic Geometry
• Topology
• Several Complex Variables
• +۳ مورد دیگر

John Voight is a Professor in the School of Mathematics and Statistics at the University of Sydney, where he is also a member of the Algebra and Computational Algebra groups. His research focuses on arithmetic algebraic geometry, modular forms, and computational number theory. He collaborates with the Magma computational algebra system development team and contributes to databases like the LMFDB. Affiliations: University of Sydney (2024–present), Dartmouth College (2007–2024), University of Vermont (2007–2013). Key research interests include modular curves, Shimura varieties, elliptic curves, and abelian varieties. He explores algorithmic methods for computing with algebraic structures, such as quaternion algebras and ideal class groups. Publications span over 90 articles, including works on Hilbert modular forms, Belyi maps, and paramodular varieties. Notable achievements include the Selfridge Prize (2010 and 2018) and Simons Foundation grants. He advises numerous PhD students and has contributed to major projects like the LMFDB, advancing computational tools for number theory.

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

Jesse Wolfson is an Associate Professor and Vice-Chair for Inclusive Excellence in the Department of Mathematics at the University of California, Irvine. His research focuses on the interplay of arithmetic, geometry, and topology, with notable contributions to arithmetic topology, resolvent degree, and algebraic geometry. He co-directs the Southern California Geometry and Topology Center (SCGTC), an NSF Research Training Group (RTG) program actively recruiting graduate students in geometry and topology. He holds a PhD and has expertise spanning algebraic structures, homological algebra, and interdisciplinary applications such as fractals in music. His work bridges pure mathematics with educational outreach, including public lectures and collaborations with institutions like St. John’s College, Santa Fe. His email is wolfson@uci.edu , and he maintains an active research blog detailing his projects and collaborations. Wolfson’s research emphasizes foundational questions in mathematics, including Hilbert’s 13th problem and the epistemic role of proofs in AI. His recent talks and articles explore topics like prismatic cohomology, modular functions, and geometric gauge theories, reflecting his commitment to advancing both theoretical and applied mathematical frontiers.

• Geometry
• Topology
• Arithmetic Topology
• +۳ مورد دیگر

Song-Ying Li is a Professor in the Department of Mathematics at the University of California, Irvine (UCI), affiliated with the School of Physical Sciences. Her research focuses on Analysis and Partial Differential Equations, with particular emphasis on complex geometry, harmonic maps, and Bergman metrics. She is also associated with the Rowland Hall facility, where her office hours are held weekly. Her work addresses fundamental problems in several complex variables, including boundary behavior of harmonic functions, geometric PDEs, and rigidity theorems. Notable contributions include studies on Bergman metrics with constant holomorphic curvatures, solutions to the Kerzman problem, and applications of the Calabi extension theorem. She has published extensively on topics such as CR geometry, eigenvalue estimates for the Kohn Laplacian, and composition operators in complex analysis. Her research trends reflect deep engagement with geometric analysis, operator theory, and the interplay between complex geometry and partial differential equations. While no specific awards are listed, her prolific publication record underscores her scholarly impact. Advising and grants information is not detailed in the provided text, but her lab/teams' focus aligns with UCI's Department of Mathematics research priorities in analysis and geometry.

• Analysis
• Partial Differential Equations
• Complex Geometry
• +۳ مورد دیگر

Jonathan Block is a Professor of Mathematics and Department Chair at the University of Pennsylvania. His research focuses on K-Theory, Differential Geometry, Index Theory, and Operator Algebras. He is affiliated with the Department of Mathematics at the University of Pennsylvania, located in Philadelphia, PA 19104. Research interests include advanced topics in geometric analysis and algebraic topology, with a particular emphasis on the interplay between differential geometry and operator algebras. His work contributes to foundational areas of mathematics with applications in theoretical physics and functional analysis. No specific grants, awards, or articles are listed in the provided text.

• K-Theory
• Differential Geometry
• Index Theory
• +۱ مورد دیگر

Tony Pantev is the Class of 1939 Professor and Department Chair in the Department of Mathematics at the University of Pennsylvania. He holds a position within the School of Arts and Sciences and specializes in algebraic and differential geometry, Hodge theory, and mathematical physics with a focus on string theory and mirror symmetry. His research activities include organizing major conferences such as the Inaugural Conference on Homological Mirror Symmetry (2015) and contributing to workshops at institutions like the Simons Center for Geometry and Physics. He has been actively involved in the Simons Collaboration on Homological Mirror Symmetry. Pantev teaches advanced courses such as MATH 6230 (Complex Algebraic Geometry) and has co-organized international events exploring topics like non-commutative Hodge structures and the B-model in higher genus invariants. His work bridges geometry, physics, and category theory, with contributions to Higgs bundles, branes, and deformation quantization.

• Algebraic Geometry
• Differential Geometry
• Hodge Theory
• +۵ مورد دیگر

Jonathan Novak is an Associate Professor of Mathematics at the University of California San Diego (UCSD). His research focuses on the combinatorial structure and high-dimensional behavior of multivariate special functions in random matrix theory, representation theory, and mathematical physics. He serves on the editorial board of the open-access journal Algebraic Combinatorics . Key research interests include algebraic combinatorics, special functions, and their intersections with random matrices and mathematical physics. His work explores combinatorial structures in high-dimensional spaces, asymptotic analysis of integrals, and connections between probability theory and algebraic structures. Recent publications emphasize topics like Berezin-Karpelevich integrals, quasimodular asymptotics, and topological expansions in matrix models. These studies highlight advancements in understanding complex systems through combinatorial and probabilistic lenses. No scientific awards are explicitly mentioned in the provided information. His contributions extend to editorial work and advancing interdisciplinary research in algebraic combinatorics and mathematical physics.

• Algebraic Combinatorics
• Special Functions
• Random Matrices
• +۳ مورد دیگر

Joseph Minahan is a Professor at Uppsala University, affiliated with the Department of Physics and Astronomy (Theoretical Physics) and the Department of Mathematics (Centre for Geometry and Physics). He holds dual Swedish and American citizenship. His research focuses on string theory, quantum field theory, and the AdS/CFT correspondence, with particular emphasis on integrability and localization techniques to derive exact results in supersymmetric theories. Education: BSc in Physics (MIT, 1982), MA and PhD in Physics (Princeton University, 1984–1987). He has held visiting positions at MIT, Harvard, and other institutions. Awards include the Lily och Sven Thuréus Prize (2013) and Bjoerkénska priset (2018), Uppsala University's highest science honor. His work spans topics like Hagedorn temperatures in supersymmetric gauge theories, integrable systems in the ABJM model, and dimensional analysis in supersymmetric Yang-Mills. He has led grants from the Swedish Research Council, Knut and Alice Wallenberg Foundation, and others. His research often bridges high-energy physics and mathematical structures, with contributions to the thermodynamic Bethe ansatz and AdS/CFT integrability.

• String Theory
• Quantum Field Theory
• AdS/CFT Duality
• +۳ مورد دیگر

Andrew McCormack is an Assistant Professor in the Department of Mathematical and Statistical Sciences at the University of Alberta. His research focuses on mathematical statistics, with a particular emphasis on non-Euclidean data analysis, algebraic statistics, and information geometry. His research interests include: Non-Euclidean Data Analysis: Developing methodologies for data on manifolds and metric spaces. Algebraic Statistics: Applying nonlinear algebra to understand statistical models, especially graphical models. Tensor Decompositions: Exploring low-dimensional representations of high-dimensional data using matrices and tensors. Information Geometry: Studying statistical models through geometric lenses, incorporating ideas from optimal transport. Statistical Decision Theory: Investigating foundational approaches to evaluating statistical methods from both classical and Bayesian perspectives. Mccormack's recent work spans robust statistical methods, information geometry in covariance modeling, and the application of algebraic techniques to statistical problems. His contributions often bridge theory and computation, addressing challenges in high-dimensional and geometric data analysis. No scientific awards listed. No advisees or grants mentioned. Labs or teams are not specified in the provided information.

• Mathematical Statistics
• Non-Euclidean Data Analysis
• Algebraic Statistics
• +۳ مورد دیگر

Yueqiao Wu is a J. J. Sylvester Assistant Professor in the Department of Mathematics at Johns Hopkins University. He previously served as a member at the Institute for Advanced Study (IAS) and completed his Ph.D. at the University of Michigan under the supervision of Mattias Jonsson. His research focuses on non-Archimedean geometry, particularly applications of Berkovich spaces to algebraic and complex geometry, including K-stability and geometric invariant theory. He co-organizes the Algebraic Geometry Seminar at JHU with Ziquan Zhuang. His work bridges areas like pluripotential theory, affine varieties, and Diophantine geometry, as seen in recent publications on K-stability connections to Vojta’s conjecture and boundedness of semistable sheaves. No scientific awards are explicitly noted, but his contributions span foundational and expository contributions to algebraic geometry. His advising and grants section is pending further information, though he actively contributes to collaborative projects like the Stacks Project Expository Collection. His office is located at Krieger 405.

• Algebraic Geometry
• Complex Geometry
• Non-Archimedean Geometry
• +۳ مورد دیگر

Jeffrey Diller is a Professor in the Department of Mathematics at the University of Notre Dame, specializing in complex analysis, complex dynamics, and algebraic geometry. Education B.A., University of Dayton, 1988 Ph.D., University of Michigan, 1993 Research Interests Diller studies multi-variable complex dynamics, using tools from pluripotential theory, complex algebraic geometry, and dynamical systems. His work centers on understanding the behavior of rational maps of two or more variables under iteration, particularly plane birational maps, and aims to extend this understanding to higher dimensions and non-invertible rational maps. Computer experimentation plays a crucial role in his investigations, aiding in the development of intuition and mathematical progress. Selected Publications Diller's recent publications span from 2001 to 2021, covering topics such as dynamics of birational and meromorphic maps, invariant forms, energy, and invariant measures in complex dynamics, and transcendental dynamical degrees. These works significantly advance the understanding of complex dynamical systems. Contact & Office Email: jdiller@nd.edu Office: 168B Hurley Building Phone: 574-631-7694

• Complex Analysis
• Complex Dynamics
• Algebraic Geometry
• +۲ مورد دیگر

Juanita Pinzón Caicedo is an Assistant Professor of Mathematics at the University of Notre Dame. She earned her Ph.D. in Mathematics from Indiana University (2014) and a B.Sc. in Mathematics from Universidad de los Andes, Colombia (2008). Her research focuses on geometric topology, particularly knot concordance, 4-manifolds, and the interplay between gauge theory and Floer homologies. She has held postdoctoral positions at the University of Georgia, NC State University, and the Max Planck Institute for Mathematics. Her research investigates trisections of 4-manifolds, satellite knots, and SU(2) representations. Notable contributions include work on concordance independence of iterated Whitehead doubles and foundational trisection diagrams. Awards include the David A. Rothrock Award (2013) and NSF FRG grants (2016). Dr. Pinzón Caicedo has taught over 20 courses, including topology and calculus, with 900+ students. She actively promotes diversity in mathematics, organizing conferences and mentoring programs. Her service includes roles at the AMS, GLBT Center at NCSU, and Women in STIM initiatives.

• Topology
• Geometric Topology
• Knot Theory
• +۳ مورد دیگر