جست‌وجوی استاد و پژوهشگر

David Braithwaiteمشاهده پروفایل

دانشیار

• Mathematical Cognition
• Logical Reasoning
• Cognitive Development
• +۳ مورد دیگر

David Braithwaite is an Associate Professor at The Florida State University , affiliated with the Department of Psychology . He directs the Queen of the Sciences Lab , focusing on mathematical and logical reasoning, learning, and development through behavioral studies and computational modeling. His research explores key areas including rational number knowledge , mathematical explanations , executive function in math problem-solving , and cross-notation understanding of fractions and decimals . He emphasizes improving educational practices by addressing cognitive processes in arithmetic learning. Recent publications highlight his Unified Model of Arithmetic (UMA) , investigations into individual differences in rational number processing , and analyses of notation affordances across cultures . His work also addresses causally ambiguous statistical language and its impact on research interpretation. Dr. Braithwaite mentors graduate and undergraduate researchers in cognitive development studies and recruits actively for his lab. He previously held postdoctoral positions at Carnegie Mellon University and earned his Ph.D. from Indiana University in 2014.

Shamil Asgarliمشاهده پروفایل

استادیار

• Algebraic Geometry
• Arithmetic Geometry
• Finite Fields
• +۳ مورد دیگر

Shamil Asgarli is an Assistant Professor in the Department of Mathematics and Computer Science at Santa Clara University (SCU), College of Arts and Sciences. He holds a B.Sc. from the University of British Columbia (UBC) and a Ph.D. from Brown University (2019), advised by Brendan Hassett. Previously, he was a postdoctoral fellow at UBC under mentors Dragos Ghioca and Zinovy Reichstein. His research focuses on algebraic and arithmetic geometry, with recent explorations into algebraic graph theory. Core themes include geometry and combinatorics over finite fields, transverse hypersurfaces, blocking sets, and maximum cliques in Cayley graphs. Notable contributions involve Bertini-type theorems, Picard group analysis of quadric intersections, and studies of Frobenius nonclassical hypersurfaces. Teaching spans courses at SCU (e.g., Cryptography, Calculus), UBC, and Brown, including roles as instructor and teaching assistant for calculus, linear algebra, and number theory. He completed the Sheridan Center's Reflective Teaching Program (Certificate I). His work bridges pure mathematics with combinatorial applications, often leveraging finite field structures. Key collaborations include projects with Dragos Ghioca, Chi Hoi Yip, and Kuan-Wen Lai on transverse subspaces, blocking curves, and geometric irreducibility. His publications frequently address problems at the intersection of algebraic geometry and finite field theory, with applications to coding and cryptography.

Nick Huggettمشاهده پروفایل

استاد

• Philosophy of Physics
• Quantum Gravity
• Philosophy of Space and Time
• +۳ مورد دیگر

Nick Huggett is LAS Distinguished Professor in the Department of Philosophy at the University of Illinois at Chicago, specializing in the philosophy of physics and the history of natural philosophy. He holds a Ph.D. in Philosophy from Rutgers University. His research examines foundational questions in contemporary physics, particularly concerning the nature of space and time in quantum gravity theories. Huggett investigates how spacetime may emerge from more fundamental non-spatiotemporal structures in approaches like string theory and causal set theory. He has developed philosophical frameworks for understanding quantum gravity, analyzed the historical development of space theories from antiquity to the present, and explored the implications of quantum mechanics for metaphysical concepts like identity and individuality. Huggett directs the Beyond Spacetime project and has authored influential works including 'Everywhere and Everywhen' and 'Physics Meets Philosophy at the Planck Scale'.

Oliver Fabertمشاهده پروفایل

دانشیار

• Symplectic Geometry
• Hamiltonian Systems
• Floer Theory
• +۳ مورد دیگر

Dr. Oliver Fabert is an Associate Professor in the Department of Mathematics at the Faculty of Science, Vrije Universiteit Amsterdam. His research focuses on advanced topics in symplectic geometry, Hamiltonian systems, and Floer theory. He teaches courses such as Differential Geometry, Non-linear Dynamical Systems, and Partial Differential Equations. Key research interests include Hamiltonian systems, periodic solutions, symplectic manifolds, and the application of Floer theory to nonlinear PDEs. His work often intersects with algebraic topology and geometric analysis, addressing challenges like the small divisor problem in Hamiltonian PDEs and the development of regularization techniques in polysymplectic geometry. Dr. Fabert has published extensively on topics such as hyperkähler Floer theory, pseudoholomorphic curves, and topological recursion relations. His contributions span foundational work in symplectic field theory and polyfold theory, with applications to both finite and infinite-dimensional Hamiltonian systems. He has supervised at least one PhD thesis and actively engages in teaching advanced mathematical concepts, reflecting his commitment to both research and education in theoretical mathematics.

Anthony Charles Lewis Ashtonمشاهده پروفایل

مدرس ارشد

• Elliptic Boundary Value Problems
• Lie Groups in PDE
• Linear PDE Theory
• +۲ مورد دیگر

Dr. Anthony Charles Lewis Ashton is a Senior College Lecturer and Director of Studies at Homerton College, University of Cambridge, and a member of the Faculty of Mathematics. He works within the Department of Applied Mathematics and Theoretical Physics (DAMTP) in the Applied and Computational Analysis group. His academic career at Cambridge includes positions as Stokes Fellow at Pembroke College (2013-15) and Junior Research Fellow at Emmanuel College (2010-13). 2015-present: Senior College Lecturer and Director of Studies, Homerton College 2013-15: Stokes Fellow, Pembroke College 2010-13: Junior Research Fellow, Emmanuel College 2009-10: EPSRC Prize Fellow, DAMTP 2006-09: PhD Candidate, DAMTP 2005-06: Part III Mathematics, Peterhouse 2002-05: BA Mathematics, Peterhouse Dr. Ashton's research focuses on novel approaches to elliptic boundary value problems, Lie groups in partial differential equations (PDEs), new approaches to rigorous problems in Linear PDE theory, and certain aspects of mathematical physics. His work demonstrates a consistent focus on developing innovative mathematical frameworks for solving complex PDE problems, particularly through the application of the unified Fokas method for boundary value problems. His extensive publication record from 2007-2019 reveals a strong emphasis on elliptic PDEs, with particular attention to boundary value problems on convex domains. A significant portion of his work centers on the unified transform method (Fokas method), which provides a novel approach to solving boundary value problems for linear and integrable nonlinear PDEs. His research spans mathematical physics, fluid dynamics, and pure mathematical analysis, showing interdisciplinary connections between different areas of mathematics. As an educator, Dr. Ashton has taught several advanced mathematics courses at Cambridge, including Part III Distribution Theory & Applications, Part II Integrable Systems, and Part IA Vector Calculus (2017-2020). His teaching materials demonstrate a commitment to making complex mathematical concepts accessible through well-structured handouts covering topics such as generating functions, Arnold-Liouville theorem, evolution of scattering data, and coordinate systems.

Milena Ivanovaمشاهده پروفایل

پژوهشگر ارشد

• Philosophy of Science
• Aesthetics of Science
• History and Philosophy of Science
• +۳ مورد دیگر

Dr. Milena Ivanova serves as an Honorary Research Fellow in the Department of Philosophy within the School of Historical and Philosophical Inquiry at the University of Queensland. Her research bridges historical analysis and contemporary debates in philosophy of science, with emphasis on aesthetic values, epistemic virtues, and conventionalism in scientific methodology. Her academic background includes a Master of Arts in History and Philosophy of Science from the University of Athens (2007) and a PhD in Philosophy from the University of Bristol (2013). Prior appointments encompass lecturing in the HPS department at the University of Sydney and a visiting fellowship at the University of Queensland, followed by postdoctoral work at the Munich Center for Mathematical Philosophy (MCMP). Milena's research centers on the intersection of aesthetics and scientific rationality, particularly examining Poincaré's and Duhem's contributions to theory choice, conventionalism, and structural realism. She investigates how epistemic virtues function within scientific practice and the role of aesthetic judgments in theory selection, often contextualizing these themes through historical case studies. Her work demonstrates sustained engagement with the relativized a priori and its implications for scientific objectivity. Analysis of her publication record reveals consistent focus on philosophical foundations of scientific methodology, with recurring themes including the epistemological significance of mathematical beauty, the interplay between conventionalism and realism, and the cognitive dimensions of theory choice. Her scholarship frequently engages with historical figures while addressing contemporary debates in virtue epistemology and scientific rationality. Dr. Ivanova maintains active scholarly engagement through publications in leading philosophy journals including Synthese , Philosophy Compass , and Studies in History and Philosophy of Science , with her most recent work appearing in 2017. Her academic trajectory demonstrates progression from historical analysis of foundational figures to broader investigations of epistemic frameworks in scientific practice.

Elmar Teuflمشاهده پروفایل

مدرس ارشد

• Random Walks on Graphs
• Combinatorics
• Probability Theory
• +۳ مورد دیگر

Elmar Teufl is a Senior Lecturer in the Department of Mathematics at Eberhard Karls Universität Tübingen. He holds a Doctorate (2002) and a Habilitation (2015) from Graz University of Technology and Tübingen University, respectively. His research focuses on random walks on graphs and groups, combinatorial problems on self-similar structures, asymptotic methods, and fractal geometry. His work bridges probability theory, combinatorics, and graph theory with applications to fractal networks and recursive systems. Teufl has held academic positions across Europe, including visiting professorships at the University of Stuttgart (2012–2013) and a Marie Curie Fellowship at Bielefeld University (2005–2006). His research has been supported by the Austrian Science Fund (FWF) and the EU. Key achievements include contributions to spanning tree enumeration on Sierpinski graphs and resistance scaling in self-similar lattices. His publications span topics like asymptotic enumeration, determinant identities for Laplacian matrices, and structural properties of nilpotent groups. He received the Austrian Mathematical Society's Studienpreis (2003) for his thesis on self-similar graphs and fractals. Teaching responsibilities include advanced courses in combinatorics and probability, with a full teaching record documented in alma.

Natalia Jurgaمشاهده پروفایل

مدرس

• Dynamical Systems
• Ergodic Theory
• Random Matrix Products
• +۱ مورد دیگر

Natalia Jurga is a Lecturer in Pure Mathematics at the University of St Andrews School of Mathematics and Statistics. Her research explores dimension theory, dynamical systems, and fractal geometry, particularly through iterated function systems and ergodic methods. Funded by a Leverhulme Trust Early Career Fellowship, Jurga investigates the dimension theory of invariant sets, box dimension anomalies, and applications to parabolic fractals. She develops innovative approaches to compute Hausdorff dimensions and analyze chaotic systems. Awards & Grants: Leverhulme Trust Early Career Fellowship She advises PhD students including Luke Derry, Saeed Shaabanian, and Yunlong Xu, and serves as an editor for the Proceedings of the Royal Society of Edinburgh.

Zihui Zhaoمشاهده پروفایل

استادیار

• Geometric Measure Theory
• Geometric Analysis
• Harmonic Analysis
• +۴ مورد دیگر

Zihui Zhao is an Assistant Professor (tenure-track) at the Department of Mathematics, Johns Hopkins University since 2023. She holds a PhD from the University of Washington (2018), advised by Prof. Tatiana Toro, and completed postdoctoral work as an NSF Postdoc and L.E. Dickson Instructor at the University of Chicago (2019–2023). Her research focuses on the intersection of Geometric Measure Theory, Harmonic Analysis, PDEs, and Geometric Analysis, particularly addressing regularity problems of elliptic PDEs and minimal submanifolds. Education: PhD in Mathematics, University of Washington, 2018 Postdoc, University of Chicago, 2019–2023 Member, Institute for Advanced Study, 2018–2019 Research Interests: Her work explores regularity of area-minimizing currents, unique continuation properties, elliptic measures, and free boundary problems. She applies tools from geometric measure theory and harmonic analysis to study boundary behavior of solutions to PDEs. Teaching: Includes Honors Calculus and courses on differential equations at both Johns Hopkins and the University of Washington. Professional Activities: Co-organized sessions on PDEs and geometric measure theory, participated in workshops at MSRI, Oberwolfach, and the Hausdorff Institute. Active in mentoring and reviewing for journals. Labs/Teams: Collaborates extensively with researchers like Carlos Kenig, Tatiana Toro, and Svitlana Mayboroda on projects funded by the Simons Foundation and NSF.

Huiqiang Jiangمشاهده پروفایل

دانشیار

• Analysis
• Partial Differential Equations
• Nonlinear Partial Differential Equations
• +۴ مورد دیگر

Huiqiang Jiang is an Associate Professor and Undergraduate Director in the Department of Mathematics at the University of Pittsburgh, affiliated with the Dietrich School of Arts and Sciences. His research focuses on nonlinear partial differential equations, calculus of variations, geometric measure theory, and geometric analysis. He holds a PhD from the Courant Institute of New York University. Education: PhD, Courant Institute (New York University) Research Interests: Applied analysis of nonlinear PDEs Free boundary problems Geometric analysis Calculus of variations Dr. Jiang's publications span topics in thin film equations, activator-inhibitor systems, and geometric PDEs. His work often bridges theoretical analysis with applications in physics and geometry. He has taught courses ranging from calculus to partial differential equations at the University of Pittsburgh since 2002.

Sergei Starchenkoمشاهده پروفایل

استاد

• Model Theory
• Real Analytic Geometry
• Geometric Measure Theory
• +۳ مورد دیگر

Sergei Starchenko is a Professor in the Department of Mathematics at the University of Notre Dame, affiliated with the College of Science. His research focuses on applications of model theory to real analytic geometry, geometric measure theory, and asymptotic analysis. He holds an M.S. (1983) and Ph.D. (1987) from Novosibirsk University, USSR. His work examines definable sets in o-minimal structures, emphasizing well-behaved first-order structures on the real numbers. Starchenko's research interests include model theory’s role in understanding real functions’ differentiability and analyticity, as well as interactions with algebraic geometry and geometric topology. Notable contributions address o-minimal flows on nilmanifolds, Elekes–Szabó phenomena in hypergraphs, and applications of distal structures to combinatorial problems. His publications span foundational model theory and interdisciplinary topics, including works on Zarankiewicz problems, Ramsey growth in NIP structures, and algebraic dynamics on tori. Starchenko actively engages with academic communities through conferences like Model Theory and Applications in Cetraro (2022) and Ravello (2013). No specific scientific awards are listed, though his extensive publication record reflects sustained scholarly impact. He advises graduate students in mathematical logic and related fields, though specific advisees are not documented here.

Edwin Beggsمشاهده پروفایل

استاد

• Algebra
• Differential Geometry
• Noncommutative Geometry
• +۴ مورد دیگر

Dr Edwin Beggs is a Reader in Mathematics within the School of Mathematics and Computer Science at Swansea University, located at the Computational Foundry on Bay Campus. His research spans Algebra, Differential Geometry, Noncommutative Geometry, Theoretical Physics, and the computability of physical systems. He co-authored the influential 2020 Springer book Quantum Riemannian Geometry , contributing to the Grundlehren series. His work bridges mathematical formalism with physical applications, focusing on quantum structures, geometric frameworks, and computational models interfacing with physical systems. Research interests include noncommutative differential operators, quantum geodesic flows, and the interplay between algebraic topology and physics. Notable contributions address quantum gravity models, soliton dynamics, and the theoretical limits of measurement and computation in physical systems. He is actively involved in postgraduate supervision and has explored computational paradigms using physical oracles, such as the Wheatstone bridge and kinematic systems, to redefine computational boundaries. His interdisciplinary approach is reflected in publications spanning quantum geometry, analogue-digital computation models, and the mathematical foundations of measurement theory. Collaborations with Shahn Majid highlight his role in advancing noncommutative geometry's applications to modern physics.

Giuseppe Vinciمشاهده پروفایل

استادیار

• Astrostatistics
• Bayesian Statistics
• Computational Neuroscience
• +۸ مورد دیگر

Giuseppe Vinci is an Assistant Professor at the Department of Applied and Computational Mathematics and Statistics (ACMS) at the University of Notre Dame, within the College of Science. His research focuses on probabilistic graphical models, particularly in neuroscience and genomics applications. He holds a Ph.D. in Statistics from Carnegie Mellon University (2017), and completed postdoctoral research and lecturing at Rice University (2017–2020). Vinci’s expertise spans astrostatistics, forensic science, and geometric data analysis. Education: Ph.D. in Statistics, Carnegie Mellon University (2017) M.Sc. in Statistics, Carnegie Mellon University (2013) M.Sc. in Economics and Social Sciences, Bocconi University (2012) B.Sc. in Economics, University of Catania (2009) Research Interests: High-dimensional statistical theory of graphical models, matrix completion, astrostatistics, neuroscience, genomics, forensic science, and geometric data analysis. His work addresses challenges in neuronal functional connectivity, genomic networks, and climate science. Awards: NeuroNex Postdoctoral Trainee (NSF) Rice Academy Postdoctoral Fellow Three-minute thesis competition (Top-10, Carnegie Mellon University) Advising & Grants: Vinci mentors multiple Ph.D., MSc, and undergraduate students in projects spanning forensic statistics, genomics, and astrostatistics. He has secured funding for undergraduate research programs and participated in NIH-funded interdisciplinary training. Labs/Teams: Involved in collaborative projects with institutions like Baylor College of Medicine and Rice University, focusing on neurotheory and statistical methods in neuroscience.

John Mooreمشاهده پروفایل

مدرس

• Differential Geometry
• Minimal Surfaces
• Riemannian Manifolds
• +۴ مورد دیگر

John Moore is a Lecturer in the Department of Earth Science at the University of California, Santa Barbara. He specializes in differential geometry and geometric analysis, with a focus on minimal surfaces, Riemannian manifolds, and global analysis. His work bridges geometric topology, curvature analysis, and educational pedagogy, including contributions to inquiry-based learning (IBL) methods in mathematics education. Research interests include the study of minimal surfaces in complex manifolds, stability of geometric structures, and applications of gauge theory (e.g., Seiberg-Witten invariants) to four-dimensional topology. His publications span over four decades, addressing topics like curvature constraints, surface singularities, and geometric variational problems. Notably, he contributed to collaborative research on IBL dissemination in mathematics teaching (2009) and pioneered studies on bumpy metrics and parametrized minimal surfaces. His educational materials, such as lecture notes on differential geometry and global analysis, reflect his dual focus on research and pedagogy. Moore's advising and grant activities include faculty development programs for active learning methodologies. His office is located in Webb Hall 1037, and he can be contacted via jlmoore@ucsb.edu.

Shabnam Akhtariمشاهده پروفایل

استاد

• Number Theory
• Geometry of Numbers
• Diophantine Analysis
• +۳ مورد دیگر

Shabnam Akhtari is a Professor of Mathematics at the Department of Mathematics, Pennsylvania State University, affiliated with the Eberly College of Science. Her research focuses on Number Theory, particularly Diophantine Analysis and the Geometry of Numbers, with a strong emphasis on Thue equations, S-unit equations, and the study of number field properties. She co-organizes the Pittsburgh Number Theory Day and actively contributes to collaborative research initiatives like WIN6 (Women in Number Theory 6). Her work involves analyzing solutions to Diophantine equations, exploring properties of algebraic numbers, and investigating local-global principles in arithmetic contexts. Recent research highlights include studies on regulators of number fields, quartic index form equations, and the distribution of solutions to Thue equations. She has published prolifically on topics such as sparse binary forms, monogenizations, and Mahler measure bounds. Dr. Akhtari’s academic contributions extend beyond research to fostering gender equity in mathematics through conferences like WIN6. Her email is sma6998@psu.edu , and she holds office at 339 McAllister Building. No specific awards or grants are listed in the provided texts, but her involvement in organizing academic events underscores her role in advancing mathematical discourse.