جست‌وجوی استاد و پژوهشگر

Jason Millerمشاهده پروفایل

دانشیار

• Probability Theory
• Schramm-Loewner Evolution
• Gaussian Free Field
• +۴ مورد دیگر

Jason Miller is a Reader in Probability at the Department of Pure Mathematics and Mathematical Statistics (DPMMS) within the Faculty of Mathematics at the University of Cambridge. His research focuses on advanced topics in probability theory and mathematical physics, particularly exploring the deep connections between random geometry, conformal invariance, and quantum gravity. Miller's research interests span a sophisticated range of topics in modern probability, with particular emphasis on Schramm-Loewner evolution (SLE), Gaussian free field, Liouville quantum gravity, random planar maps, and random walks. His work sits at the intersection of probability theory, complex analysis, and mathematical physics, developing rigorous mathematical frameworks for understanding two-dimensional random structures that arise in statistical mechanics and quantum gravity. He has made significant contributions to establishing the connections between discrete random structures and their continuum limits, particularly in the context of Liouville quantum gravity and the Brownian map. Analysis of Miller's recent publications reveals a consistent research program focused on establishing the deep connections between various mathematical objects in two-dimensional random geometry. His work demonstrates how Liouville quantum gravity serves as a universal scaling limit for random planar maps, how Schramm-Loewner evolution describes the continuum limits of critical interfaces, and how these objects relate to the Brownian map through various characterization theorems. The mathematical techniques employed span conformal field theory, metric geometry, stochastic analysis, and complex analysis. As a member of the Statistical Laboratory research group within DPMMS, Miller collaborates extensively with leading researchers in probability theory, including Scott Sheffield, Ewain Gwynne, and Wendelin Werner. His work has been published in the most prestigious mathematics journals including Acta Mathematica, Inventiones Mathematicae, and the Annals of Probability, reflecting the significance and rigor of his contributions to the field.

Andrew Törökمشاهده پروفایل

استاد

• Dynamical Systems
• Ergodic Theory
• Statistical Mechanics
• +۴ مورد دیگر

Andrew Török is a Professor in the Department of Mathematics at the University of Houston. His research focuses on dynamical systems, ergodic theory, and their applications to statistical mechanics and probability. He has contributed to studies on random dynamical systems, extreme value theory, and stability properties of hyperbolic flows. Teaching responsibilities include courses like MATH 3364: Introduction to Complex Analysis. His work spans topics such as cohomology of dynamical systems, transitivity of group extensions, and statistical limit theorems for non-uniformly hyperbolic systems. Key publications address Birkhoff sum convergence, stable laws for Gibbs-Markov systems, and transitivity properties of Heisenberg group extensions. Research extends to applications in financial mathematics and market dynamics through studies on stock price fluctuations. Professional activities include organizing the Dynamics Colloquium and participating in interdisciplinary projects like gene network modeling. His address is at PGH Building, University of Houston, with contact via torok@math.uh.edu.

• Algebraic Methods in Dynamical Systems
• Difference and Differential Algebra
• Galois Theory of Differential Equations
• +۴ مورد دیگر

Michael Wibmer is a Lecturer in Pure Mathematics at the University of Leeds since 2023. Previously, he held positions at Graz University of Technology, the University of Notre Dame, the University of Pennsylvania, and RWTH Aachen University. He earned his PhD from the University of Heidelberg under the supervision of B.H. Matzat. His research focuses on algebraic, algorithmic, and arithmetic aspects of differential and difference equations, including Galois theory and algebraic groups. Key areas include algebraic methods in dynamical systems, symbolic computation, and connections to model theory and number theory. He organizes events like the Online Kolchin Seminar in Differential Algebra and co-organized workshops such as DART XI (2023) and the MSRI Summer School on Differential Equations (2022). Education: PhD in Mathematics, University of Heidelberg (2010), Habilitation in Mathematics, RWTH Aachen University (2015) Research Interests: Galois theory of differential equations, proalgebraic groups, difference algebraic groups, number theory, and symbolic computation Recent Activities: Organized the Algebraic Theory of Differential and Difference Equations workshop at Leeds (2024) His publications span topics like torsors under affine group schemes, regular singular differential equations, and étale difference algebraic groups, reflecting his expertise in algebraic structures and their applications to differential systems.

Joni Teravainenمشاهده پروفایل

استادیار

• Analytic Number Theory
• Additive Combinatorics
• Ergodic Theory
• +۳ مورد دیگر

Joni Teräväinen is an Assistant Professor at the University of Cambridge , affiliated with the Department of Pure Mathematics and Mathematical Statistics. His research is funded by an ERC Starting Grant and has been supported by prestigious fellowships including the Academy Research Fellow, Marie Curie Fellow, and von Neumann Fellow. Current Role: Assistant Professor, University of Cambridge Previous Roles: Academy Research Fellow (University of Turku), von Neumann Fellow (IAS), Titchmarsh Research Fellow (University of Oxford) His research interests lie at the intersection of analytic number theory , additive combinatorics , and ergodic theory , with a focus on multiplicative functions, prime distribution, and higher-order Fourier analysis. Recent work explores correlations of multiplicative functions, Fourier uniformity in short intervals, and applications to the Chowla and Elliott conjectures. Joni has published extensively in top journals including the Journal of the European Mathematical Society , Annals of Mathematics , and Proceedings of the London Mathematical Society . His publications reveal a trend toward quantitative bounds for Gowers uniformity, shifted exponential composites, and function field analogues of classical problems. Scientific Awards: ERC Starting Grant Academy Research Fellow Marie Curie Fellow von Neumann Fellow Academy of Finland Postdoctoral Researcher Titchmarsh Research Fellow Contact: jt945@cam.ac.uk . More details are available on his personal homepage .

Jonas Stelzigمشاهده پروفایل

مدرس ارشد

• Geometry
• Topology
• Number Theory
• +۳ مورد دیگر

Dr. Jonas Stelzig is a Senior Lecturer in the School of Mathematics at Ludwig Maximilian University of Munich (LMU). He is currently on leave during the summer term 25 to substitute a position at Johannes Gutenberg University Mainz, where he teaches Riemann surfaces and a seminar on topological K-theory. In 2026, he will assume a Heisenberg-position funded by the German Research Foundation (DFG). Current Role: Senior Lecturer (Privatdozent) at LMU Leave Status: Substituting a position at Mainz (2024) Future Role: DFG Heisenberg-position (2026) Stelzig's research lies at the intersection of Geometry, Topology, and Number Theory. He specializes in (almost-)complex manifolds, particularly their cohomology and rational homotopy theory. His work explores the interplay between algebraic structures and geometric properties, such as Massey products, formality, and bigraded cohomological notions. Recent publications focus on cohomological properties of Kähler and non-Kähler manifolds, rational homotopy theory, and spectral sequences. He collaborates with researchers like G. Placini, L. Zoller, and A. Milivojevic, contributing to journals like Advances in Mathematics and Mathematical Research Letters . Teaching highlights include courses on complex geometry, topology, and homotopy theory. He co-organizes workshops like Geometry and TACoS and participates in international conferences, including Luminy (2024), Osaka (2022), and Banff (2019).

Erkao Baoمشاهده پروفایل

استادیار

• Symplectic Geometry
• Contact Geometry
• Differential Geometry
• +۳ مورد دیگر

Erkao Bao is an Assistant Professor in the School of Mathematics at the University of Minnesota, where he is a member of the differential geometry group. His office is located at Vincent Hall 356, 206 Church Street SE, Minneapolis, MN 55455, and he can be reached at bao@umn.edu. Dr. Bao specializes in Symplectic Geometry and Contact Geometry, with research focusing on Morse homology, Floer theory, and Lagrangian submanifolds. His work explores equivariant structures in geometric contexts, with recent publications addressing reflection actions via broken trajectories, coherent orientations in symplectic field theory, and immersed Lagrangian Floer cohomology. His research demonstrates a clear progression from foundational work on J-holomorphic curves and contact homology toward increasingly sophisticated treatments of equivariant structures. The integration of geometric methods with potential applications in neural networks (as seen in his 2019 paper on equivariant neural networks) shows his ability to bridge pure mathematics with contemporary computational challenges. Office: Vincent Hall 356, 206 Church Street SE, Minneapolis, MN 55455 Email: bao@umn.edu Office Hours: Typically Monday and Friday 1:00-2:00 PM, or by appointment As an educator, Dr. Bao teaches undergraduate courses including Math 2374 (CSE Multivariable Calculus) and Math 5378 (Differential Geometry), as well as graduate courses Math 8301-8302 and Math 8365 (Manifold and Topology), covering topics from vector calculus to advanced differential geometry and topological methods.

• Algebraic Topology
• Index Theory
• Higher Category Theory
• +۱۳ مورد دیگر

Markus Upmeier is a Lecturer in Mathematics at the University of Aberdeen, affiliated with the Department of Mathematics within the School of Natural and Computing Sciences. He earned his PhD from the University of Göttingen in 2013 under Thomas Schick and previously held a Simons Collaboration researcher position at the University of Oxford. He is actively involved in the academic community, organizing the Topology Seminar and leading a reading seminar on the Baez-Dolan cobordism hypothesis and ∞-categories. PhD, University of Göttingen, 2013 Simons Collaboration Researcher, University of Oxford Lecturer, University of Aberdeen Markus Upmeier's research lies at the intersection of algebraic topology, index theory, and higher category theory, with applications to moduli spaces in gauge theory and algebraic geometry. His work explores the topological and geometric structures—such as orientations, spin structures, and higher categorical analogues—on moduli spaces arising in theoretical physics. He investigates connections to K-theory, elliptic cohomology, and vertex algebras, particularly through the lens of quantum invariants and bordism theory. His recent publications emphasize homological algebra on moduli spaces, differential cohomology, and integrability in almost Hermitian geometry. The 15 most recent publications highlight a consistent focus on the topology of moduli spaces, particularly concerning orientations, bordism invariance, and index theory. Key themes include twisted K-theory, vertex F-algebras, and the interplay between higher category theory and mathematical physics. His work frequently involves collaboration with leading figures such as Dominic Joyce and integrates deep results from homotopy theory, differential geometry, and algebraic structures. No scientific awards or fellowships were mentioned in the provided text. Markus Upmeier advises no listed students in the provided information. There is no mention of grants or funding sources. However, his role as a seminar organizer and his active publication record suggest significant academic engagement and leadership. His research program is well-defined, bridging abstract homotopy theory with concrete geometric and physical problems. He is involved in the Topology Seminar and leads a reading seminar on ∞-categories and the cobordism hypothesis, indicating an active research group or collaborative environment around higher category theory and its applications.

• Symplectic Geometry
• Poisson Geometry
• Contact Geometry
• +۷ مورد دیگر

Eva Miranda is a Full Professor of Mathematics at the Universitat Politècnica de Catalunya (UPC), Barcelona, and a Researcher at the Centre de Recerca Matemàtica (CRM). She leads the Geometry, Topology, Algebra, and Applications Group (GEOMVAP) and directs the Laboratory of Geometry and Dynamical Systems. Her research focuses on symplectic and Poisson geometry, with applications to dynamical systems, fluid dynamics, and mathematical physics. Key areas include singular symplectic manifolds, integrable systems, and the interplay between geometry and computation. Affiliations: Full Professor at UPC (Department of Mathematics) ICREA Academia Researcher Chercheur Affilié at Observatoire de Paris Member of BGSMath and European Mathematical Society Her research explores connections between geometry and computational complexity, notably demonstrating Turing universality in 3D Euler flows (a breakthrough resolving a decades-old problem). She also investigates singularities in Hamiltonian systems, symplectic reduction, and Poisson geometry. Her work bridges disciplines like celestial mechanics, fluid dynamics, and computer science. Notable achievements include the ICREA Academia Prize (2021), Bessel Research Prize (2022), and Hardy Lectureship (2023). She supervises a vibrant team of PhD students and postdocs, fostering interdisciplinary collaborations through networks like SYMCREA and COMPLEXFLUIDS. Her recent projects include exploring topological Kleene field theories, entropy in Turing-complete systems, and desingularization of Poisson manifolds. She actively promotes women in mathematics and contributes to scientific outreach through lectures and media articles.

Daniel Panarioمشاهده پروفایل

استاد

• Finite Fields
• Combinatorics
• Cryptography
• +۳ مورد دیگر

Professor Daniel Panario is a faculty member at Carleton University's School of Mathematics and Statistics. He holds the rank of Professor and specializes in areas such as Finite Fields, Combinatorics, and Cryptography. His research focuses on the analysis of algorithms, computational number theory, and applications in cryptography and coding theory. Education: PhD in Computer Science from the University of Toronto, postdoctoral research at the University of Waterloo, and further academic roles at institutions in Brazil and Uruguay. His expertise spans theoretical and applied mathematics, with contributions to discrete mathematics and algorithmic research. Research Interests: Finite Fields and their applications, combinatorics, cryptography, coding theory, and computational algebra. He has supervised numerous students and postdoctoral researchers, contributing to over 200 publications and holding editorial roles in top journals. Grants and Editorial Work: Editor for journals like Applicable Algebra in Engineering and Cryptography and Communications. He has organized international conferences and workshops, advancing the field of finite fields and discrete mathematics. Labs/Teams: Active member of the Ottawa-Carleton Discrete Mathematics Group, collaborating on combinatorial and algebraic research projects.

• Geometry
• Representation Theory
• Algebraic Structures
• +۳ مورد دیگر

Mr. Tomas Reunbrouck is affiliated with the Faculty of Mathematics at Bielefeld University. His research activities are connected to the SFB / Transregio 358 "Integral Structures in Geometry and Representation Theory" , specifically project A1: The structure of (almost) lattices - algebra, analysis and arithmetic . He is actively involved in interdisciplinary research within the Bielefeld Graduate School in Theoretical Sciences, contributing to advanced mathematical studies. Research Interests : Mr. Reunbrouck's work focuses on fundamental mathematical concepts, particularly integral structures in geometry and representation theory. His research explores algebraic and geometric frameworks, including lattice theory and arithmetic applications. Collaborations and Affiliations : As a member of the Bielefeld Graduate School in Theoretical Sciences, he collaborates on interdisciplinary projects. His research is conducted within the SFB/TRR 358 network, which addresses complex mathematical structures.

• Complex Geometry
• Symplectic Geometry
• Differential Geometry
• +۳ مورد دیگر

Adriano Tomassini is a Full Professor in the Department of Mathematical, Physical and Computer Sciences at the University of Parma, Italy. He serves as Director of the Department since December 2020 and Director of the Interuniversity School of Mathematics since January 2018. His academic career includes positions as University Researcher (1996-2002), Associate Professor (2002-2011), and Full Professor (2011-present) at the University of Parma. Current Position: Full Professor, University of Parma Department Director: Since December 2020 Interuniversity School Director: Since January 2018 Editor of Annals of Pure and Applied Mathematics: Since January 2022 Tomassini earned his PhD in Mathematics from the University of Florence in 1997 under Prof. Paolo de Bartolomeis, following his undergraduate degree in Mathematics from the same institution in 1992. His academic journey began at the University of Palermo before moving to Parma. His research focuses on complex geometry, symplectic geometry, and the study of almost complex structures. He has made significant contributions to understanding cohomological properties of complex manifolds, special geometric structures, and the ∂∂¯-lemma. His work bridges theoretical mathematics with applications to mathematical physics, particularly in the study of Calabi-Yau manifolds and their generalizations. Analysis of his recent publications reveals a sustained focus on Bott-Chern cohomology, Dolbeault harmonic forms, and geometric structures on solvmanifolds. His research demonstrates how complex and symplectic geometries interact through various cohomological frameworks, with particular attention to how these structures behave under deformations and modifications. Total Publications: 79 Total Citations: 648 (Scopus) h-index: 15 (Scopus) Tomassini has directed seven doctoral theses and currently supervises additional students. He has coordinated multiple national research projects including PRIN 2010-2011, 2015, and 2017 on real and complex manifolds. As a referee, he serves numerous prestigious journals including Duke Math. J., Inventiones Mathematicae, and Journal of the American Mathematical Society. His international collaborations include visiting positions at top institutions worldwide such as Stanford, Michigan, and Oxford. He maintains active research collaborations with mathematicians including Daniele Angella, Nicoletta Tardini, and Riccardo Piovani, with whom he continues to explore cutting-edge problems in complex geometry and cohomological structures.

Ajay Singh Thakurمشاهده پروفایل

دانشیار

• Algebraic Topology
• Complex Manifolds
• Vector Bundles
• +۲ مورد دیگر

Dr. Ajay Singh Thakur is an Associate Professor in the Department of Mathematics and Statistics at Indian Institute of Technology Kanpur . Holding a PhD from The Institute of Mathematical Sciences, Chennai, he has built a robust research profile in Algebraic Topology and Complex Manifolds . Education PhD, The Institute of Mathematical Sciences, Chennai Research Interests Dr. Thakur’s work spans the intricate realms of Algebraic Topology and Complex Manifolds , with particular emphasis on characteristic classes, vector bundles, and the geometric structures underlying complex and real manifolds. His investigations often involve the interplay between topological invariants and complex-analytic properties, leading to insights that bridge algebraic topology with complex geometry. Publication Themes Across more than a dozen publications from 2011 to 2023, his research has consistently focused on the topology of vector bundles, characteristic classes (Stiefel–Whitney, Chern, Euler), and complex structures on manifolds. The body of work highlights both theoretical advances and explicit computations over spaces such as Stiefel manifolds, projective spaces, and generalized Calabi–Eckmann manifolds. Awards & Fellowships DST-INSPIRE Faculty Fellowship (2013) UGC-CSIR JRF Fellowship (2005) NBHM PhD Fellowship (2005) NBHM MSc Fellowship (2004) Professional Experience & Grants DST-INSPIRE Faculty, Indian Statistical Institute Bangalore (Feb 2014 – Jan 2017) Post-doctoral fellowships at Haifa University, Israel; TIFR Mumbai; and ISI Bangalore Research Group He is an active member of the Topology research group at IIT Kanpur, contributing to the vibrant academic and collaborative environment.

SEHER ASLANCIمشاهده پروفایل

استاد

• Geometry
• Differential Geometry
• Riemannian Geometry
• +۵ مورد دیگر

Prof. SEHER ASLANCI is a Professor of Mathematics Education at ALANYA ALAADDİN KEYKUBAT UNIVERSITY, Faculty of Education. Her academic journey includes roles such as Vice Dean (2022–2023) and Department Head (2017–2018). She holds a Doctorate in Geometry from Atatürk University (2011). Research focuses on differential geometry (tensors, Riemannian structures) and mathematics education (bibliometric analyses of pedagogical methods like inquiry-based learning and realistic mathematics education). Publications span 20+ years, emphasizing geometric structures and educational methodologies. Awards include TUBITAK's UBYT grants (2009, 2011, 2014). Administrative roles include Scientific Research Commission membership (2020–2021) and Mevlana Exchange Program coordination (2016–2017). Education: Integrated PhD (Geometry), Atatürk University, 2011 Mathematics Teaching Programme, Atatürk University, 1999–2004 Awards: Encouragement of International Scientific Publications (TUBITAK UBYT-2014) Encouragement of International Scientific Publications (TUBITAK UBYT-2011) Encouragement of International Scientific Publications (TUBITAK UBYT-2009) Research themes blend pure geometry (tensor bundles, complex structures) with applied educational studies (bibliometric trends in tech-enhanced learning). Recent work explores heat flux control systems and deformations in geometric structures.

• Differential Geometry
• Topology
• Sub-Riemannian Geometry
• +۳ مورد دیگر

Juan Francisco Torres Lopera is a Researcher affiliated with the Faculty of Mathematics and Department of Mathematics . He earned his doctorate from the University of Santiago de Compostela in 1982 with a thesis on plain semisimple homogeneous spaces, Grassmannian structures, and transversally Grassmannian foliations. His research spans Differential Geometry , Topology , and Sub-Riemannian Geometry , with a focus on Heisenberg groups, Cartan structures, and geometric transformations. His recent work examines Sub-Riemannian cut locus and Carnot Groups , while earlier studies include Non-Kähler Manifolds and Homogeneous Spaces . Collaborations include Ignacio Bajo, Alberto Martín Méndez, and Yusupdjan Khakimdjanov. Key trends in his publications include Geodesic Analysis , Conformal Transformations , and Manifold Cohomology . He has contributed to journals such as Transactions of the American Mathematical Society and ESAIM: Control, Optimization and Calculus of Variations .

• Dynamical Systems
• Renormalization Theory
• Complex Dynamics
• +۱۱ مورد دیگر

Michael Yampolsky is a Professor in the Department of Mathematics at the University of Toronto, with appointments at both the St. George and Mississauga (UTM) campuses. He is also the Director of the Centre for Nonlinear Analysis and Modeling (CNAM) at UTM. His research lies at the intersection of pure mathematics and applied modeling, with a strong focus on dynamical systems and their theoretical and computational aspects. Yampolsky earned his PhD from SUNY Stony Brook in 1997 and has held prestigious positions including J.W. Gibbs Instructor at Yale University and Visiting Member at the Institut des Hautes Études Scientifiques in France before joining the University of Toronto faculty in July 2000. He has also held visiting positions at IPAM (UCLA), ETH Zurich, Université de Paris, and IMPA. His research interests span a broad range of topics in dynamical systems , including renormalization theory , Julia sets , Siegel disks , critical circle maps , and computability in dynamics . A significant portion of his work investigates the boundaries of algorithmic computability in complex dynamical systems. He has also contributed to interdisciplinary research in mathematical medicine and biology , particularly in modeling placental morphology and metabolic scaling laws in fetal development. The recent publications reflect a deep engagement with both theoretical and computational themes. The work trends include renormalization hyperbolicity , rigidity of circle maps , computability of dynamical invariants , and structural instability in 2D complex maps . His interdisciplinary projects apply mathematical modeling to placental shape and function, especially in the context of HIV and antiretroviral therapy. He is the author and co-author of several books, including Computability of Julia Sets (Springer, 2008) and Fixed Point of the Parabolic Renormalization Operator (Springer, 2014), and has edited volumes in honor of John Milnor. His publications appear in top-tier journals such as Communications in Mathematical Physics , Annals of Mathematics , Inventiones Mathematicae , and Placenta . Yampolsky advises students and collaborates extensively, particularly in the areas of computable analysis and nonlinear modeling. His research has been supported by major grants, though specific funding sources are not detailed in the text. He leads the Centre for Nonlinear Analysis and Modeling (CNAM), which serves as a hub for interdisciplinary research in dynamical systems and mathematical modeling. Notable labs and teams include: Centre for Nonlinear Analysis and Modeling (CNAM) – Research group focused on dynamical systems, renormalization, and applications in biology and medicine. Collaborative projects with researchers in mathematical biology, particularly in placental modeling and fetal development.