جست‌وجوی استاد و پژوهشگر

Karin Melnickمشاهده پروفایل

استاد

• Differential Geometry
• Rigidity Theory
• Lorentzian Geometry
• +۴ مورد دیگر

Karin Melnick is a Full Professor in Mathematics at the University of Luxembourg, Faculty of Science, Technology and Medicine, Department of Mathematics. She heads the research group Group Actions, Geometric Structures, and Smooth Dynamics . Previously, she held positions at the University of Maryland (2009–2023), where she advanced from Assistant Professor to Professor and Associate Chair for Faculty Affairs, and at Yale University (2006–2009). Education: PhD and Master's degrees from the University of Chicago Research Interests: Her work spans differential-geometric rigidity, Lorentzian geometry, conformal pseudo-Riemannian structures, parabolic Cartan geometries, and smooth dynamical systems. She investigates symmetries of geometric structures, classification of manifolds with prescribed curvature properties, and dynamics of group actions on differentiable manifolds. Publications: Melnick's 15 most recent articles (2011–2025) predominantly explore rigidity phenomena in geometric structures, conformal/Lorentzian geometry, and dynamical systems. Key themes include automorphism groups of parabolic geometries, embedding theorems for tractor bundles, non-existence results for quasihomogeneous metrics, and applications of Frobenius-type theorems to Cartan geometries. Academic Leadership: She organizes major conferences including the upcoming BeNeLux Mathematical Congress (2026) and Lorentzian, Affine, and Hyperbolic Geometry: In Memory of Todd Drumm (2025). She frequently delivers invited talks at institutions like IHES Paris, Isaac Newton Institute, and Universität Hamburg. Teaching: Currently instructs Géométrie des courbes et des surfaces (Summer 2025).

• Dynamical systems
• Ergodic theory
• Homogeneous spaces
• +۴ مورد دیگر

Manfred Einsiedler is a Professor in the Department of Mathematics at ETH Zurich, Switzerland, with office HG G 64.2 at Rämistrasse 101, 8092 Zurich. He teaches undergraduate and graduate courses including Linear Algebra (HS 2019), Analysis I/II, and Functional Analysis I/II, using his co-authored textbook Functional Analysis, Spectral Theory, and Applications . His research centers on dynamical and equidistribution problems in homogeneous spaces, with focus on closed horocycle orbits, geodesic orbits on the modular surface, and measure rigidity. Key contributions include work on effective equidistribution, entropy methods, and connections between ergodic theory and number theory. He has co-authored foundational texts: Ergodic Theory with a view towards Number Theory and Functional Analysis, Spectral Theory, and Applications in Springer's Graduate Texts in Mathematics series, alongside multiple in-progress volumes on entropy, homogeneous dynamics, and unitary representations. Recent publications explore integer points on spheres, rigidity of invariant measures, and Diophantine approximation on fractals, emphasizing collaborations with Lindenstrauss, Ward, Margulis, and Venkatesh. His work demonstrates consistent focus on homogeneous dynamics with applications to arithmetic problems, particularly through effective methods and measure classification theorems. While no specific awards or student lists are documented in the source, his extensive publication record and textbook authorship establish significant scholarly impact.

Amir Mohammadiمشاهده پروفایل

استاد

• Ergodic theory
• Dynamical systems
• Discrete subgroups of Lie groups
• +۵ مورد دیگر

Amir Mohammadi is a Professor in the Department of Mathematics at the University of California, Berkeley , appointed in 2025. He is a member of the Senate Faculty and conducts research in the College of Letters and Science. His research interests lie at the intersection of ergodic theory , dynamical systems , and discrete subgroups of Lie groups . He explores deep connections between homogeneous dynamics, number theory, and geometry, with a focus on effective equidistribution, measure rigidity, and Diophantine approximation. His recent publications reflect a strong emphasis on effective results in homogeneous dynamics, including studies on unipotent flows, quadratic forms, and geodesic planes in hyperbolic manifolds. The work often involves collaboration with leading mathematicians and appears in top-tier journals such as Inventiones Mathematicae , Duke Mathematical Journal , and the Journal of the American Mathematical Society . Research is supported in part by the National Science Foundation (NSF) .

Wenyu Panمشاهده پروفایل

استادیار

• Dynamical Systems
• Ergodic Theory
• Geometry
• +۲ مورد دیگر

Wenyu Pan is an Assistant Professor in the Department of Mathematics at the University of Toronto, Faculty of Arts and Science. His research lies at the intersection of dynamical systems, ergodic theory, geometry, discrete subgroups of Lie groups, and spectral theory. His primary research interests include: Dynamical Systems Ergodic Theory Geometry Discrete Subgroups of Lie Groups Spectral Theory His recent publications reveal a strong focus on geometric and dynamical aspects of hyperbolic manifolds, limit sets, mixing properties of geodesic and frame flows, and fractal measures such as Patterson-Sullivan measures. The body of work demonstrates deep engagement with homogeneous dynamics, measure rigidity, and spectral analysis in non-compact geometric settings, particularly those involving cusps and abelian covers. His collaborations with researchers like J. Li, H. Oh, and F. Naud indicate active participation in the global mathematical community. Scientific awards are not mentioned in the provided text. There is no information available on student advising, grants, or teaching responsibilities. No lab or research team is explicitly mentioned, though collaborative work is evident in publication records.

Dave Morrisمشاهده پروفایل

استاد

• Group Theory
• Lie Theory
• Arithmetic Groups
• +۱۲ مورد دیگر

Dave Morris is a Professor in the Department of Mathematics & Computer Science at the University of Lethbridge since 2003. He holds a PhD in Mathematics from the University of Chicago (1985). His research focuses on algebraic and geometric aspects of group theory, particularly infinite matrix groups, arithmetic groups, and applications to graph theory and dynamical systems. Key research areas include: Arithmetic groups and their rigidity properties Algebraic properties of infinite matrix groups Applications of finite groups in graph theory (e.g., Cayley graphs) Unipotent flows and Ratner's Theorems His publications span over 50 works, including books on Ratner's Theorems (2005), Ergodic Theory (2008), and an open-access textbook on abstract mathematics (with Joy Morris). He has delivered numerous talks on topics like Hamiltonian cycles in Cayley graphs and actions of Lie groups on manifolds.

• Combinatorics
• Algebraic Combinatorics
• Log-Concave Polynomials
• +۱۳ مورد دیگر

Jonathan Leake is an Assistant Professor in the Department of Combinatorics and Optimization at the University of Waterloo. His research lies at the intersection of combinatorics, optimization, and theoretical computer science, with a focus on log-concave and Lorentzian polynomials and their applications in discrete and continuous settings. Assistant Professor, University of Waterloo (2022–present) Dirichlet Postdoctoral Fellow, TU Berlin (2020–2022) Postdoctoral Fellow, Institut Mittag-Leffler, Stockholm (Spring 2020) Postdoctoral Fellow, KTH, Stockholm (Fall 2019) James H. Simons Fellow, Simons Institute, UC Berkeley (Spring 2019) His research explores the deep connections between algebraic structures and combinatorial phenomena, particularly through polynomial capacity and Lorentzian polynomials. He applies these tools to problems in optimization, sampling, and representation theory. His work often involves developing new algebraic and analytic techniques to tackle longstanding conjectures and algorithmic challenges. The recent publications highlight a consistent focus on Lorentzian polynomials, capacity bounds, and their applications in combinatorics, optimization, and theoretical computer science. Key themes include matroid theory, log-concavity, sampling algorithms, volume approximation, and connections to Lie theory and representation theory. The research spans both theoretical developments and algorithmic applications, often in collaboration with leading researchers in the field. Dirichlet Postdoctoral Fellowship, TU Berlin Postdoc Fellowship in Algebraic and Enumerative Combinatorics, Institut Mittag-Leffler James H. Simons Fellowship, Simons Institute, UC Berkeley Jonathan Leake has advised or collaborated with several researchers, though formal advisees are not listed in the provided text. His work has been supported by prestigious fellowships and collaborations with institutions such as the Simons Institute and TU Berlin. He has taught courses including CO 250: Introduction to Optimization, MATH 239: Introduction to Combinatorics, and CO 739: Lorentzian Polynomials at the University of Waterloo and TU Berlin. While specific lab or research group names are not mentioned, Leake's collaborative work with researchers like Petter Brändén, Nisheeth Vishnoi, and Leonid Gurvits suggests active participation in research teams focused on algebraic combinatorics, optimization, and theoretical computer science. His publicly shared code for sampling from HCIZ densities and verifying positivity in Lie-theoretic contexts indicates an active computational research component.

Jayadev S. Athreyaمشاهده پروفایل

دانشیار

• Dynamical Systems
• Geometric Topology
• Number Theory
• +۴ مورد دیگر

Jayadev S. Athreya is an Associate Professor in the Department of Mathematics at the University of Washington, where he also serves as Director of the Washington Experimental Mathematics Lab. His primary affiliation is with the College of Liberal Arts & Sciences. He holds dual roles as a Professor of Mathematics and Professor of the Comparative History of Ideas. Athreya co-directs the Pacific Institute for the Mathematical Sciences and is a founder of the Washington Experimental Mathematics Lab, emphasizing interdisciplinary experimental mathematics. His research interests span dynamical systems, geometric topology, number theory, and algebraic geometry. He focuses on translation surfaces, billiards dynamics, geometric flows, and probabilistic methods in geometry. His work often intersects with problems in ergodic theory, Teichmüller theory, and moduli spaces. Athreya has an extensive publication record, with recent work exploring billiard complexity in regular polygons, linear flows on translation prisms, and spectral properties of marked tori. His papers frequently address counting problems, asymptotic distribution of geometric objects, and connections between number theory and dynamical systems. He has taught advanced courses such as Quasiconformal Maps and Teichmüller Theory, Complex Analysis, and Elementary Number Theory. His pedagogical approach emphasizes hands-on exploration through the Washington Experimental Mathematics Lab, fostering collaborative research projects with undergraduates. Athreya is committed to accessible mathematics education, reflecting his alignment with Federico Ardila-Mantilla's axioms on equity and inclusivity in mathematical experiences. His work bridges theoretical research with educational outreach, advocating for mathematics as a universal, adaptable tool.

• Ergodic Theory
• Homogeneous Spaces of Lie Groups
• Diophantine Approximation
• +۳ مورد دیگر

Nimish Shah is a Professor in the Department of Mathematics at The Ohio State University, Columbus, Ohio. His research focuses on Ergodic Theory, Homogeneous Spaces of Lie Groups, and their applications to Number Theory. He holds a PhD from the Tata Institute of Fundamental Research (1994) and has authored over 40 publications. Research Interests: Shah’s work centers on dynamics on homogeneous spaces, including equidistribution problems, limit distributions, and applications to Diophantine approximation. His studies often involve unipotent flows, lattice actions, and geometric aspects of Lie groups. Publications Trends: Recent work (2023–2025) emphasizes expanding translates of geometric objects (curves, manifolds) and their equidistribution properties, with applications to Dirichlet-type approximation theorems. Earlier work (2009–2018) explored limit distributions of geodesics and integral points on hyperbolic manifolds. Awards/Grants: No specific awards or grants listed in the provided texts. Advising: No advisee names listed in the text. Labs/Teams: No lab affiliations explicitly mentioned.

Jayadev S. Athreyaمشاهده پروفایل

استاد

• Ergodic Theory
• Dynamical Systems
• Geometry
• +۳ مورد دیگر

Jayadev S. Athreya is a Professor of Mathematics and Comparative History of Ideas at the University of Washington. He also serves as co-Director of the Pacific Institute for the Mathematical Sciences (PIMS) and founder of the Washington Experimental Mathematics Lab. His research focuses on ergodic theory, dynamical systems, geometry, and number theory, with a particular emphasis on translation surfaces, billiards dynamics, and moduli spaces. He holds a PhD from the University of Chicago (2006) and has been actively involved in promoting mathematical education and outreach. Axioms emphasizing equitable and joyful mathematics experiences guide his work. Education: PhD in Mathematics, University of Chicago, 2006 Research Interests: Athreya’s interdisciplinary work bridges geometry, dynamics, and number theory. Key areas include the study of billiards in polygons, Teichmüller theory, and the statistical properties of geodesics on hyperbolic surfaces. His contributions to translation surfaces and counting problems in geometry have advanced understanding of moduli spaces and extremal cocycles. Labs/Teams: He leads the Washington Experimental Mathematics Lab, fostering collaborative research through hands-on projects in geometry and combinatorics. The lab emphasizes creativity and inclusivity in mathematical exploration. Grants/Advising: While specific grants are not detailed, his leadership roles and active research output indicate sustained funding and mentorship in experimental mathematics and education initiatives.

Dmitry Kleinbockمشاهده پروفایل

استاد

• Lie groups
• Discrete subgroups
• Homogeneous spaces
• +۳ مورد دیگر

Dmitry Kleinbock is a Professor in the Department of Mathematics at Brandeis University. His research focuses on Lie groups, discrete subgroups, homogeneous spaces, ergodic theory, dynamical systems, and metric Diophantine approximation. He has supervised several graduate students including Jiajie Zheng, Mishel Skenderi, Anurag Rao, and Shahriar Mirzadeh. His recent publications explore homogeneous dynamics, Diophantine approximation, and ergodic theory, with particular focus on metrical properties, dimension theories, and inhomogeneous approximations. These works demonstrate consistent innovation in connecting geometric methods with number-theoretic problems. Dr. Kleinbock has received significant recognition including the Simons Foundation Research Fellowship and Alfred P. Sloan Research Fellowship. He serves on editorial boards for several mathematics journals and has organized multiple conferences in dynamics and number theory.

Min Ju Leeمشاهده پروفایل

مدرس

• Dynamical Systems
• Ergodic Theory
• Hyperbolic Geometry
• +۲ مورد دیگر

Dr. Min Ju Lee is an L. E. Dickson Instructor in Mathematics at the University of Chicago. Previously a postdoctoral fellow at the Institute for Advanced Study, she earned her PhD from Yale University under Hee Oh. Her research explores dynamical systems and geometric structures including hyperbolic geometry, homogeneous dynamics, ergodic theory, and higher Teichmüller theory. Lee's work primarily investigates Anosov groups, geometric invariants in hyperbolic manifolds, and measure rigidity in homogeneous spaces. Recent publications demonstrate deep exploration of limit sets in hyperbolic 3-manifolds, ergodic decompositions, and classification of invariant measures. Her mathematical approach integrates topological methods with geometric analysis to address problems in orbit closure theorems and spectral properties. Publication trends show consistent focus on the intersection of dynamical systems and geometric group theory, with increasing attention to measure-theoretic aspects of group actions and higher-rank generalizations of classical theorems. Her work frequently employs techniques from Lie theory, fractal geometry, and thermodynamic formalism. Lee maintains an active presentation schedule at international conferences including talks at IHES, ICERM, and Oberwolfach workshops. Her collaborative network spans institutions including Yale, ETH Zurich, and the Korean Institute for Advanced Study.

Kariane Caltaمشاهده پروفایل

دانشیار

• Number Theory
• Algebra
• Ergodic Theory
• +۳ مورد دیگر

Kariane Calta is an Associate Professor of Mathematics and Statistics at Vassar College, affiliated with the Department of Mathematics and Statistics since 2007. She holds a BA from Williams College and advanced degrees (MS and PhD) from the University of Chicago. Her research focuses on algebra, number theory, ergodic theory, dynamical systems, topology, and algebraic geometry, with notable contributions to continued fractions, lattice surfaces, and synchronization phenomena in dynamical systems. Calta co-organized the Hudson River Undergraduate Mathematics Conference for three years via an NSF grant (with Benjamin Lotto and colleagues). Her work bridges pure mathematics and geometric dynamics, emphasizing interdisciplinary approaches. Her publications analyze ergodic properties, algebraic structures, and geometric surfaces, reflecting a strong theoretical foundation. Beyond research, she contributes to initiatives like the Exploring Transfer program, supporting community college students' transitions to four-year institutions.

Edgar Assingمشاهده پروفایل

استاد

• Analytic Number Theory
• Automorphic Forms
• Representation Theory
• +۳ مورد دیگر

Dr. Edgar Assing is a professor at the University of Bonn's Department of Mathematics, specializing in analytic number theory, automorphic forms, and representation theory. His research bridges these fields with applications to L-functions and harmonic analysis. Education & Academic Background : PhD from the University of Bristol (focused on the sup-norm problem for GL(2)) Habilitation thesis at the University of Bonn on 'On automorphic density results in higher rank' Research Interests : Sup-norm bounds for automorphic forms Automorphic density hypotheses (e.g., Sarnak's conjecture) Voronoi summation techniques and trace formula applications Interactions between analytic number theory and representation theory Teaching & Mentorship : Lead advanced courses at Bonn on topics like modular forms, algebraic number theory, and the circle method Supervised 10+ Master's and Bachelor's theses since 2022, covering topics like class field towers and modular forms Professional Activities : Organized conferences like the 'Young Scholars in Analytic Number Theory' (2022) and 'Special Topic School on Equidistribution' (2025) Active in international collaborations (e.g., with V. Blomer, Paul D. Nelson)

Keivan Mallahi Karaiمشاهده پروفایل

استادیار

• Group Theory
• Probability Theory
• Harmonic Analysis
• +۵ مورد دیگر

Prof. Keivan Mallahi Karai is an Assistant Professor of Mathematics at the School of Computer Science & Engineering, Constructor University Bremen. His work focuses on group theory, probability, harmonic analysis, and their applications in decision-making and cryptography. He holds a Ph.D. in Mathematics from Yale University (2006) and a B.Sc. from Sharif University of Technology (1999). His research explores dynamics of group actions, stochastic models, and geometric decision frameworks, with notable contributions to the Erdős–Ko–Rado property and applications of arithmetic groups in cryptography. Key research areas include analysis on groups, harmonic analysis applications in wave phenomena, and probabilistic methods in decision theory. Recent publications address spectral independence in random systems, geometric decision models (cube/disk models), and sofic approximations of groups. His work bridges pure mathematics with applied domains like financial modeling and cryptography. Professional experience includes a postdoctoral role at Universität Bonn (2006). Collaborations span stochastic decision-making frameworks, entropy in hypergroups, and extreme value laws for unipotent flows. Research trends emphasize interdisciplinary applications of abstract algebra and probability theory.

Maxim Kirsebomمشاهده پروفایل

پژوهشگر ارشد

• Ergodic Theory
• Dynamical Systems
• Extreme Value Theory
• +۲ مورد دیگر

Maxim Kirsebom is an Associate Researcher in the Department of Mathematics at the University of Hamburg, specializing in dynamical systems and ergodic theory with applications to Diophantine approximation. His research examines extreme value theory in homogeneous dynamics, shrinking target problems, and random fractal generation. Key interests include developing probabilistic frameworks for dynamical Borel-Cantelli lemmas, analyzing unipotent flows on homogeneous spaces, and exploring metrical properties of continued fractions. Recent work establishes connections between geometric group actions and distribution laws for extremal events. Dr. Kirsebom actively supervises doctoral students and organizes workshops on dynamical systems methodology. He collaborates internationally on problems bridging number theory, probability, and statistical mechanics.