جست‌وجوی استاد و پژوهشگر

Kai Cieliebakمشاهده پروفایل

استاد

• Symplectic geometry
• Contact geometry
• Hamiltonian dynamics
• +۵ مورد دیگر

Prof. Dr. Kai Cieliebak is a Professor of Mathematics at the University of Augsburg, where he holds the Chair of Analysis and Geometry within the Institute of Mathematics under the Faculty of Mathematics, Natural Sciences, and Materials Engineering. He has been at Augsburg University since 2012, following a professorship at Ludwig-Maximilians-Universität München from 2001-2012. His research group includes several researchers and postdocs working on symplectic geometry and related fields. Dr. Cieliebak earned his Diplom in mathematics summa cum laude from Ruhruniversität Bochum in 1992, with thesis on "Pseudo-holomorphe Kurven und periodische Orbits auf Cotangential Bündeln" under advisor H. Hofer. He completed his PhD in mathematics at ETH Zürich in 1996, with thesis "Symplectic boundaries: closed characteristics and action spectra," also advised by H. Hofer. His academic journey included positions at Harvard University, Stanford University, and research at IBM Zürich before his professorships in Munich and Augsburg. Prof. Cieliebak's research focuses on symplectic and contact geometry , with significant contributions to understanding symplectic manifolds, Lagrangian and Legendrian knots, Stein manifolds, and string topology. His work in Hamiltonian dynamics explores variational methods, periodic orbits, and celestial mechanics problems, particularly the restricted three-body problem. In global analysis , he investigates solution spaces of elliptic PDEs and symplectic field theory. His approach often bridges differential geometry, topology, and dynamical systems, with applications to mathematical physics. Over the past decade, Prof. Cieliebak's publications reveal a consistent focus on symplectic homology, Floer theory, and their applications to geometric problems. His work shows increasing integration of algebraic structures with geometric methods, particularly in cyclic homology and string topology. Recent research demonstrates strong collaboration with Urs Frauenfelder on celestial mechanics problems, applying symplectic techniques to the restricted three-body problem and related orbital dynamics. Prof. Cieliebak has secured significant research funding throughout his career, including multiple DFG grants under project codes CI 45/1 through CI 45/12, NSF grants, and participation in European Science Foundation networking programs. His most notable grants include "Foundations of Symplectic Field Theory" (2009-2015) and the current "Rabinowitz Floer Homology" project (since 2023), both in collaboration with U. Frauenfelder. He has mentored numerous researchers and maintains an active research group at Augsburg University, including postdocs and collaborators working on symplectic geometry problems. His team includes researchers such as Dr. Filip Broćić, Zhen Gao, Dr. Hanna Häußler, Emilia Konrad, Shuaipeng Liu, Dominik Meidert, Dr. Airi Takeuchi, Dr. Evgeny Volkov, Milan Zerbin, and PD Dr. Lei Zhao. Prof. Cieliebak has also organized numerous workshops on symplectic geometry, including the annual "Symplectic Field Theory" workshop series.

Frank Calegariمشاهده پروفایل

استاد

• Algebraic Number Theory
• Langlands Programme
• Galois Representations
• +۳ مورد دیگر

Frank Calegari is a Professor of Mathematics at the University of Chicago. His primary research interests include algebraic number theory, the Langlands program, Galois representations, and arithmetic geometry. He has made significant contributions to understanding reciprocity laws linking Galois representations to automorphic forms. His work often intersects with cohomology of arithmetic groups, motives, and the arithmetic of periods. Prof. Calegari has advised numerous PhD students, including Maria Stadnik, Shiva Chidambaram, and Eric Stubley. He serves on editorial boards for prestigious journals such as Algebra & Number Theory, Essential Number Theory, and the Annals of Mathematics. He actively participates in academic conferences and programs, including organizing the 2020 Arithmetic of the Langlands Program in Bonn. His research spans modularity theorems for abelian varieties, cohomology of arithmetic groups, and the study of L-functions. Key recent work includes resolving the unbounded denominators conjecture and advancing potential automorphy results over CM fields. Calegari frequently collaborates with leading mathematicians, including George Boxer, Vincent Pilloni, and Yilin Yang. He teaches advanced courses such as Honors Calculus (Math 16100) at the University of Chicago. His expository work includes lecture notes on motives and L-functions, as well as a blog compiling mathematical insights (Persiflage). Calegari’s contributions to number theory have been recognized through his editorial roles and invited lectures at institutions like the ICM and Clay Mathematics Institute.

Dima Arinkinمشاهده پروفایل

استاد

• Algebraic Geometry
• Geometric Langlands Program
• Moduli Spaces
• +۳ مورد دیگر

Dima Arinkin is a Professor in the Department of Mathematics at the University of Wisconsin–Madison, specializing in algebraic geometry with significant contributions to geometric representation theory and mathematical physics. His research focuses on: Geometric Langlands Program: Developing frameworks connecting automorphic forms and Galois representations through geometric methods Moduli Spaces: Analyzing spaces of algebraic connections, Higgs bundles, and their compactifications D-modules: Studying systems of linear differential equations via algebraic geometry Integrable Systems: Investigating geometric structures in soliton theory and Painlevé equations Irregular Singularities: Exploring connections with irregular behavior on algebraic curves Analysis of his publications (2008-2016) reveals consistent advancement in geometric Langlands through derived algebraic geometry techniques, particularly in relating singular support of sheaves to automorphic forms and establishing oper structures for connections. No scientific awards are documented in the provided materials. No information regarding student advisement or research grants appears in the source texts.

Benjamin Gammageمشاهده پروفایل

پژوهشگر ارشد

• Geometry
• Algebra
• Mathematical physics
• +۶ مورد دیگر

Benjamin Gammage is a Benjamin Peirce Fellow in the Department of Mathematics at Harvard University. Beginning in Summer 2025, he will transition to an Assistant Professor position at the University of Toronto. His academic journey includes a PhD from UC Berkeley under David Nadler, where his thesis focused on microlocal sheaves and mirror symmetry, and an undergraduate degree with honors from the University of Chicago. Dr. Gammage's research centers on quantum geometry, exploring the deep connections between geometry, algebra, and mathematical physics. His work particularly focuses on homological mirror symmetry and 3d mirror symmetry, investigating how quantum field theories reveal profound relationships between seemingly different geometric spaces. He has made significant contributions to understanding how the structure of SYZ fibrations mediates mirror symmetry and how perverse schobers can categorify aspects of geometric representation theory. His research has followed a clear trajectory from foundational work on mirror symmetry for affine hypersurfaces toward increasingly sophisticated structures in 3-dimensional field theories. The most recent publications demonstrate a progression from studying 1- and 2-dimensional quantum field theories toward fully categorified 3d mirror symmetry, revealing deep structural connections between representation theory and symplectic geometry. 2023-present: Principal Investigator, NSF DMS grant #2305257 2020: NSF Postdoctoral Research Fellowship 2019: Kenneth Ribet and Lisa Goldberg Award in Algebra 2015: NSF Graduate Research Fellowship 2014: Paul R. Cohen Prize Dr. Gammage has served as a minor thesis advisor for Grant Barkley (2022) and has been actively involved in mentoring through Harvard's Graduate Admissions Committee and as a Math Includes mentor. His research is supported by significant grant funding, including his current NSF grant. He has organized numerous seminars including the Open Neighborhood Seminar, Relative Langlands seminar, and various topics in mirror symmetry and string theory. His collaborative work spans multiple institutions, with frequent collaborations at institutions including the University of Toronto, UC Berkeley, and various international research centers. His research program bridges pure mathematics with theoretical physics, creating new frameworks for understanding geometric structures through quantum field theory perspectives.

• Representation Theory
• Tensor Categories
• Lie Algebras
• +۴ مورد دیگر

Pavel Etingof is Professor of Mathematics at the Massachusetts Institute of Technology (MIT), Department of Mathematics, where he has been a distinguished faculty member for many years. He serves as the Chief Research Adviser of MIT-PRIMES, an all-year high school math research program that provides exceptional research opportunities for talented high school students. Additionally, he holds the prestigious position of Editor-in-Chief of Selecta Mathematica. Professor Etingof's research spans multiple advanced areas of pure mathematics with a particular focus on representation theory, tensor categories, Lie algebras, Hecke algebras, and algebraic structures. His work consistently bridges algebra, geometry, and mathematical physics, revealing deep connections between abstract algebraic structures and physical phenomena. His research has evolved to increasingly explore tensor categories in positive characteristic, connections between representation theory and fractal structures, and applications to quantum field theory. His recent publications (2021-2025) demonstrate continued productivity and innovation, with numerous papers on tensor categories in various characteristics, representation theory of Lie groups, and connections to mathematical physics. These works show sophisticated exploration of representation theory in prime characteristic, novel applications to quantum field theory, and deep investigations into the structure of tensor categories. Editor-in-Chief of Selecta Mathematica Chief Research Adviser of MIT-PRIMES Professor Etingof has mentored numerous Ph.D. students at MIT and other institutions, establishing a significant mathematical genealogy in representation theory. His teaching includes advanced courses on algebraic groups, Lie theory, representation theory, and specialized topics. He has also co-organized many student seminars on cutting-edge mathematical topics including Deligne categories, symplectic reflection algebras, quantum cohomology, and double affine Hecke algebras, fostering collaborative research environments for students and colleagues.

Maxim Kontsevichمشاهده پروفایل

استاد

• Mathematical Physics
• Algebraic Geometry
• Deformation Quantization
• +۵ مورد دیگر

Maxim Kontsevich is a permanent professor at the Institut des Hautes Études Scientifiques (IHÉS), holding the AXA Chair for Mathematics since 1995 and a visiting chair at Rutgers University (one month annually since 1997). Born in 1964 in Khimki, USSR, he earned his PhD from Bonn University in 1992. His career includes visiting positions at Harvard, the Institute for Advanced Study, and Berkeley, where he was a professor from 1993 to 1995. His research spans mathematical physics, algebraic geometry, and non-commutative geometry. Notable contributions include deformation quantization, mirror symmetry, and motivic integration. His work bridges algebraic structures with geometric and physical concepts, influencing areas like topological field theories, string theory, and integrable systems. Awardees of Fields Medal (1998), Crafoord Prize (2008), and Breakthrough Prize (2014), he also holds editorial roles at Compositio Mathematica and Publications Mathématiques IHÉS. His over 50 publications explore advanced topics such as quantum cohomology, Hodge theory, and categorical structures in geometry.

Xiaocheng Shangمشاهده پروفایل

دانشیار

• Mathematical Optimization
• Data Science
• Numerical Analysis
• +۳ مورد دیگر

Xiaocheng Shang is an Associate Professor in Mathematical Optimisation and Data Science at the University of Birmingham's School of Mathematics. His research focuses on numerical methods for stochastic differential equations, with applications in computational mathematics, statistics, physics, and data science. He is affiliated with the Optimisation and Numerical Analysis Group, Statistics and Data Science Group, and the Institute for Data and AI. Shang holds a PhD in Applied and Computational Mathematics from the University of Edinburgh (2016) and completed postdocs at the University of Edinburgh, Brown University, and ETH Zurich before joining Birmingham in 2019. His academic achievements include fellowships from The Alan Turing Institute, the LMS Emmy Noether Fellowship, and the EUniWell Leadership Fellowship. He has secured funding from EPSRC, the Royal Society, and the Isaac Newton Institute. Shang is actively involved in supervising PhD students and co-organizing research initiatives such as the Data Science and Computational Statistics Seminar. Research interests include structure-preserving integrators, Bayesian sampling techniques, and machine learning applications in dynamical systems. His work bridges numerical analysis, probability theory, and multiscale modeling in materials science. Recent projects involve neural networks for complex dynamical systems and numerical algorithms for deterministic/stochastic systems.

Zsolt Patakfalviمشاهده پروفایل

دانشیار

• Algebraic Geometry
• Commutative Algebra
• Birational Geometry
• +۳ مورد دیگر

Zsolt Patakfalvi is an Associate Professor at École Polytechnique Fédérale de Lausanne (EPFL), holding positions in the School of Basic Sciences (SB) within the Department of Mathematics (MATH). He is affiliated with the Chair of Algebraic Geometry (CAG) and the Section of Mathematics for Engineers (SMA-ENS). Additionally, he serves as Director of SMA-GE and holds roles in academic governance bodies like the Conference of Section Directors (CDS) and SB Faculty Management. His research focuses on Algebraic Geometry, particularly in birational geometry, positive characteristic methods, moduli theory, and mixed characteristic algebra. He explores topics such as Hodge theory, singularities, and applications to arithmetic geometry. Notable contributions include work on the minimal model program, test ideals, and counterexamples to classical conjectures in positive characteristics. He supervises doctoral students in areas like algebraic geometry and commutative algebra, including Jefferson Baudin, Léo Navarro Chafloque, and Linus Rösler. His past advisees include Emelie Arvidsson and Quentin Posva. Patakfalvi’s publications frequently address foundational questions in geometry, with recent work extending into perfectoid spaces and globally-regular varieties. He coordinates courses such as 'Algebra III - Rings and Fields' and 'Perfectoid spaces' at EPFL, reflecting his commitment to both research and education. His academic service includes managing educational programs within SB-SMA and contributing to institutional decision-making through CDS membership.

Mehdi Yazdiمشاهده پروفایل

مدرس

• Low-dimensional topology
• Geometry
• Dynamics
• +۹ مورد دیگر

Mehdi Yazdi is a Lecturer in Pure Mathematics at King's College London, part of the Department of Mathematics within the Faculty of Natural, Mathematical & Engineering Sciences. His research focuses on low-dimensional topology, geometry, and dynamics, with particular emphasis on 3-dimensional manifolds, foliations, mapping class groups, and algorithmic aspects of topology. He holds a PhD from Princeton University (2017) and has held postdoctoral fellowships at the University of Oxford, including the Glasstone Research Fellowship in Science, Titchmarsh Research Fellowship, and a UKRI Postdoctoral Research Fellowship. Education: PhD in Pure Mathematics from Princeton University (2017). Prior to King's College, he was at Oxford from 2017–2021. Research interests include the study of geometric structures on manifolds, algorithmic problems in topology, and the interplay between dynamics and geometry. His work has contributed to understanding foliations, knot theory, and computational aspects of topological invariants. Publications span topics like the stability of foliations, Thurston norms, and computational complexity of knot genus, reflecting his expertise in both theoretical and algorithmic dimensions of geometry and topology. He is a member of the Geometry Group at King's, which explores areas such as algebraic geometry, cohomology theories, and symplectic geometry. His research also engages with broader questions in geometric analysis and low-dimensional dynamics.

Yuri Tschinkelمشاهده پروفایل

استاد

• Algebraic geometry
• Analytic number theory
• Arithmetic geometry

Yuri Tschinkel is a Professor of Mathematics at the Courant Institute of Mathematical Sciences, New York University, and Director of the Mathematics and Physical Sciences Division at the Simons Foundation since 2012. He previously held positions at the University of Goettingen, Princeton University, and the University of Illinois at Chicago. His research spans algebraic geometry, analytic number theory, and arithmetic geometry, focusing on rational points, birational geometry, and algebraic structures. Ph.D. in Mathematics, MIT (1992) His work addresses stable rationality of algebraic varieties, weak approximation over function fields, and distribution of rational points. Key contributions include studies on Mori cones, log Fano varieties, and quadric surface bundles. Recent publications reflect collaborations with leading mathematicians like Kontsevich and Hassett. Scientific accolades include 2018 Member of Leopoldina, German National Academy of Sciences 2014 Fellow of the American Association for the Advancement of Science 2012 Fellow of the American Mathematical Society As Director of the Simons Foundation division, he oversees grants and research initiatives in mathematics and physical sciences. He has authored 135 papers, edited 19 books, and serves on 8 editorial boards and advisory panels.

Wilkinson Amieمشاهده پروفایل

استاد

• Ergodic Theory
• Smooth Dynamical Systems
• Dynamical Systems of Geometric Origin
• +۳ مورد دیگر

Amie Wilkinson is a Professor of Mathematics at the University of Chicago since 2012, previously holding positions at Northwestern University. She specializes in dynamical systems, ergodic theory, and geometry. Her research explores actions of discrete groups, smooth dynamics, and geometric systems. She holds a Ph.D. from UC Berkeley (1995) and an A.B. from Harvard (1989). Wilkinson has received prestigious awards including the Levi L. Conant Prize (2020) and the Ruth Lyttle Satter Prize (2011). She led the NSF-funded 'Robust and Generic Mechanisms in Smooth Dynamics' ($600,000, 2014-2019). Her work spans geodesic flows, Lyapunov exponents, and rigidity phenomena in dynamical systems. Education: Ph.D. UC Berkeley (1995), A.B. Harvard (1989) Key Positions: Boas Assistant Professor (Northwestern, 1996–1999), Associate/Full Professor roles at Northwestern (1999–2011) Awards: AMS Fellow (2013), Invited Speaker at International Congress of Mathematicians (2010) Her research emphasizes the interplay between geometry and dynamics, with contributions on ergodicity, hyperbolic systems, and foliation structures.

Chenyang Xuمشاهده پروفایل

استاد

• Algebraic Geometry
• Higher Dimensional Geometry
• K-stability
• +۴ مورد دیگر

Chenyang Xu is a Professor at Princeton University's Department of Mathematics, specializing in Higher Dimensional Geometry with a focus on K-stability, Fano varieties, and moduli spaces. His research bridges algebraic geometry and complex geometry, contributing to foundational questions in birational geometry and geometric invariant theory. Position: Professor at Princeton University Research Interests: Algebraic Geometry, K-stability, Fano varieties, Moduli spaces, Birational Geometry He leads the Simons Collaboration on Moduli of Varieties, advancing understanding of geometric structures and their applications. Notable achievements include resolving key conjectures in K-stability and establishing foundational results on the birational geometry of Fano varieties. Recipient of the 2019 New Horizons in Mathematics Prize for his contributions to algebraic geometry. Active in academic service, he contributes to conferences and editorial roles, including co-editing volumes on higher-dimensional algebraic geometry.

• Complex Geometry
• Differential Geometry
• Geometric Analysis
• +۶ مورد دیگر

Valentino Tosatti is a Professor of Mathematics at the Courant Institute of Mathematical Sciences, New York University. His research focuses on complex and differential geometry, geometric analysis, and partial differential equations (PDEs), with connections to algebraic geometry and dynamical systems. He explores topics such as Kähler geometry, Calabi-Yau manifolds, symplectic geometry, geometric flows, and the Monge-Ampère equations. His work often addresses the interplay between geometric structures and their analytic properties. Education: He earned his PhD in Mathematics from Harvard University in 2009 under the supervision of Shing-Tung Yau. Prior to that, he completed a Laurea (BSc) at the University of Pisa and a Minor Thesis at Harvard. Research Interests: Tosatti's work emphasizes the study of geometric flows (e.g., Kähler-Ricci flow), collapsing behavior of Calabi-Yau metrics, and canonical currents on K3 surfaces. His contributions include foundational results on the regularity of solutions to Monge-Ampère equations and the asymptotic analysis of geometric structures under degenerations. Publications and Trends: His recent articles address themes like volume regularity, collapsing metrics, and geometric flows, reflecting a deep engagement with the analytic and geometric challenges in complex geometry. He has also organized conferences and workshops on topics such as geometric analysis and complex geometry. Professional Activities: Tosatti serves on editorial boards for journals including the Canadian Journal of Mathematics and Mathematische Zeitschrift. He has contributed to organizing events like the 2026 Oberwolfach workshop on Complex Geometry and Dynamical Systems and has been involved in academic seminars at institutions like Columbia University and Northwestern University.

Andrei Jorzaمشاهده پروفایل

دانشیار

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

Andrei Jorza is an Associate Professor of the Practice in the Department of Mathematics at the University of Notre Dame. His research focuses on the interplay between number theory and algebraic geometry, including topics such as modular forms, Galois representations, p-adic Hodge theory, and arithmetic geometry. He holds an A.B. from Harvard University (2005) and a Ph.D. from Princeton University (2010), advised by Andrew Wiles. Prior to his current position, he was a Taussky-Todd Instructor at Caltech and a member of the Institute for Advanced Study (IAS). Dr. Jorza has taught advanced courses on p-adic Hodge theory, global class field theory applications, algebraic number theory, and graduate algebra. His work includes significant contributions to computational verification of the Birch and Swinnerton-Dyer conjecture and studies on Galois representations for Siegel modular forms. His research also extends to topics like Lagrangian hyperplanes in holomorphic symplectic varieties and eigenvarieties in automorphic forms. He is affiliated with Notre Dame's Department of Mathematics, located in 275 Hurley Hall, and actively participates in seminars on algebraic geometry and commutative algebra. His lecture notes and courses reflect a deep engagement with foundational topics in number theory and algebra, emphasizing adelic methods and applications of class field theory.

• Tropical Geometry
• Cluster Algebras
• Combinatorics
• +۵ مورد دیگر

David E Speyer is a Professor in the Department of Mathematics at the University of Michigan . His research focuses on algebraic problems with combinatorial flavors , particularly in tropical geometry , cluster algebras , and geometry of Lie groups . He has supervised multiple PhD students, including Shelby Cox, Will Dana, and John Wiltshire-Gordon, and collaborated on projects with undergraduates like Grant Barkley and Benjamin Branman. Education: PhD in Mathematics from UC Berkeley under Bernd Sturmfels; undergraduate at Harvard. Research: Key areas include tropical geometry , cluster algebras , and flag manifolds . His work often bridges combinatorics, algebraic geometry, and representation theory. Publications: Over 40 papers, including breakthroughs in cluster algebras , affine weak order , and braid variety cluster structures . Awards: Clay Research Fellow (2005-2010). Teaching: Coordinates courses like Math 593 (graduate algebra) and Math 214 , with a focus on inquiry-based learning .