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Steven B BradlowView profile

Professor

• Differential Geometry
• Gauge Theory
• Higgs Bundles
• +7 more

Steven B Bradlow is a Professor of Mathematics at the University of Illinois at Urbana-Champaign, specializing in differential geometry, gauge theory, and Higgs bundles. His work focuses on moduli spaces, geometric structures, and surface group representations. He holds a PhD from the University of Chicago (1988). Research Interests: Bradlow’s research explores advanced topics including Higgs bundles, moduli space properties, Lie group actions, and Teichmüller theory. His work bridges algebraic geometry, differential geometry, and mathematical physics, with applications to non-Abelian monopoles, spectral curves, and geometric analysis. Publications: His recent work emphasizes Cayley correspondences, Teichmüller spaces, and exotic components of SO(p,q) representations. These studies highlight his expertise in unifying geometric and algebraic perspectives. Awards: AMS Fellow (2018), Fulbright Specialist Award (2014) Collaborations: Bradlow collaborates internationally, particularly with researchers like Oscar García-Prada and Peter Gothen, advancing Higgs bundle theory and geometric representation varieties. His editorials and conference contributions further cement his role as a leader in the field.

Kirsten WickelgrenView profile

Professor

• Homotopy Theory
• Arithmetic Geometry
• Algebraic Topology
• +4 more

Kirsten Wickelgren is a Professor in the Department of Mathematics at Duke University, affiliated with Trinity College of Arts & Sciences. Her research focuses on homotopy theory and arithmetic geometry, with support from the National Science Foundation through grants DMS-2405191 and DMS-2103838. She has held academic positions at Duke, Georgia Tech, and Harvard, teaching advanced courses in algebraic topology, algebra, and geometry. Her research explores intersections of algebraic topology and number theory, including motivic homotopy theory, quadratic forms, and enumerative geometry. Notable contributions include enriched counts of geometric objects over finite fields and arithmetic counts of curves in projective spaces. Wickelgren has advised numerous PhD students, including Chongyao Chen, Cameron Darwin, and Thomas Brazelton, and has mentored undergraduate and high school research projects. She has organized conferences such as the Abel Symposium 2025 and co-organized the Mathematics Employment Experience for High School Students at Duke.

Gregory R. ChambersView profile

Assistant Professor

• Metric geometry
• Geometric analysis
• Quantitative topology
• +4 more

Gregory R. Chambers serves as an Assistant Professor in the Department of Mathematics at Rice University, conducting research at the intersection of metric geometry and geometric analysis. His work addresses quantitative topology, min-max theory, and isoperimetric inequalities, with applications in stability estimates and symmetrization methods. Chambers actively contributes to the academic community through co-organizing Rice University's Geometry Seminar. Education: B.S. from the University of Toronto (2009) Ph.D. from the University of Toronto (2014) Prior to joining Rice, Chambers held an L.E. Dickson Instructorship at the University of Chicago. His research program investigates geometric problems using quantitative approaches, with recent publications focusing on the square peg problem, geodesic nets, and monotone homotopies. Current work demonstrates a trend toward discrete geometric analysis, including cubical isoperimetric problems and Uryson width, while maintaining connections to classical minimal surface theory and stability of geometric inequalities. Scientific Awards: No awards documented in available sources. Advising and Grants: No information regarding student advisees or research funding is provided in the text. Labs and Teams: Chambers co-organizes Rice University's Geometry Seminar, facilitating collaborative research discussions in geometric mathematics.

Dima KrioukovView profile

Professor

• Network Theory
• Network Geometry
• Random Geometric Graphs
• +7 more

Dima Krioukov is a Professor at Northeastern University with appointments in the Departments of Physics, Mathematics, and Electrical & Computer Engineering. He is affiliated with the Network Science Institute and leads the DK-Lab research group. His work bridges theoretical physics, mathematics, and network science with applications to the Internet, neuroscience, and cosmology. Primary Office: 177 Huntington Avenue, 2nd floor, Rm. 227, Boston, MA 02115 Additional Locations: The Roux Institute (London and Portland) Contact: +1-617-373-2934 Professor Krioukov's research spans network theory , network geometry , causal sets , and fundamentals of network dynamics . His work establishes connections between geometric properties of networks and their functional characteristics, with applications to navigation in complex systems. He has demonstrated that latent hyperbolic geometry explains heterogeneous degree distributions and strong clustering in real networks, and that the large-scale structure of the universe shares properties with complex networks like the Internet and the brain. His research has led to practical applications including optimal routing schemes for telecommunication networks based on hyperbolic geometry. His recent publications reveal a strong focus on the intersection of geometry and network science, with particular attention to causal sets, Riemann surfaces, and hyperbolic geometry. The research trends show increasing sophistication in connecting discrete network structures with continuous geometric spaces, with applications ranging from quantum gravity to efficient Internet routing. The work demonstrates how fundamental geometric principles govern the structure and function of diverse complex systems across multiple domains. Top 2% scientists worldwide (Stanford University 2024 assessment) USPTO patent on super-scalable routing in telecommunication networks Krioukov leads the DK-Lab, which focuses on theoretical aspects of network science with practical applications. His lab has developed methods to infer latent geometries of networks, created optimal routing algorithms based on hyperbolic geometry, and established connections between network structure and cosmological models. Current projects include research on network geometry, navigation in networks, random graphs and their limits, fundamentals of network dynamics, and quantum gravity applications. The lab maintains strong connections with both theoretical physics and practical network engineering communities.

Claudio Llosa IsenrichView profile

Assistant Professor

• Geometric Group Theory
• Complex Geometry
• Kähler Groups
• +7 more

Claudio Llosa Isenrich is an Assistant Professor in the Institute of Algebra and Geometry at Karlsruhe Institute of Technology (KIT), leading a young research group in Complex Geometry and Geometric Group Theory since October 2020. His work bridges algebraic and geometric methods, with a focus on Kähler groups, finiteness properties, and Dehn functions. His research explores the interplay between Geometric Group Theory and Complex Geometry, particularly the study of fundamental groups of compact Kähler manifolds, constructions of Kähler manifolds, large-scale geometry of nilpotent groups, and rigidity properties of mapping class groups. He also investigates Dehn functions, finiteness properties, and subgroups of hyperbolic groups. His recent preprints and publications emphasize Dehn functions of subgroups, profinite rigidity of Kähler groups, and geometric properties of CAT(0) groups. He has received significant funding, including a Lise Meitner Postdoctoral Fellowship and the KIT Faculty Prize for Excellent Teaching, and has organized seminars and workshops like the GCD Seminar and Geometry Days with Heidelberg and Straßburg. His advisees include PhD student Jannis Weis and former PhD student Jeronimo Garcia Mejia, now at the University of Oxford.

• Mathematics Education
• Pure Mathematics
• Educational Processes
• +3 more

Matthew Jones is an Associate Professor at the School of Management, University College London. He holds a PhD in Mathematics from UCL and has over twenty years of academic experience, including senior management roles focused on curriculum design, team leadership, and educational innovation. His teaching spans mathematics and computing modules, while his research emphasizes student learning processes in mathematics and pure mathematical analysis. Education: PhD in Mathematics, University College London Research Interests: Matthew investigates how students internalize mathematical knowledge through problem-solving processes. His work bridges mathematics education and pure mathematics, with a focus on operator theory, complex analysis, and functional analysis. Recent publications explore composition operators, Riemann surfaces, and Bloch space dynamics. Awards: Fellow of the Institute of Mathematics and its Applications (FIMA) Senior Fellow of the Higher Education Academy (SFHEA) Leadership: Currently serves as the School of Management’s Assessment and Feedback lead, driving pedagogical excellence and institutional change initiatives.

Josephine EvansView profile

Assistant Professor

• Kinetic Theory
• Riemann Surfaces
• Value-Distribution Theory
• +1 more

Josephine Evans is Assistant Professor at the University of Warwick's Mathematics Institute and a Royal Society University Research Fellow. Her research focuses on mathematical aspects of kinetic theory, complex dynamics, and transport phenomena, with applications to biological systems and statistical mechanics. Research interests include: Kinetic Theory : Analysis of BGK-type equations and convergence to equilibrium Mathematical Biology : Modeling bacterial motion through run-and-tumble processes Hypocoercivity Methods : Quantitative convergence rates for degenerate kinetic equations Her publications demonstrate consistent application of functional analysis to transport equations, with recent studies examining nonequilibrium steady states and bacterial chemotaxis. Article analysis reveals strong emphasis on rigorous convergence proofs and interdisciplinary connections to physics and biology. She currently organizes KinneticNet, a UK network of kinetic theorists supported by the INI. Her research has been funded by Fondation Science Mathematiques de Paris and Leverhulme Trust.

• Probability Theory
• Mathematical Physics
• Random Matrices
• +6 more

Antoine Dahlqvist is an Associate Professor in the Department of Mathematics at the University of Sussex, affiliated with the School of Mathematical and Physical Sciences. His research focuses on probability theory, mathematical physics, and their intersections with random matrices, free probability, and stochastic analysis. He holds an ORCID identifier (0000-0002-8095-7843) and maintains an academic webpage at http://users.sussex.ac.uk/~and22/. His research interests include advanced topics such as Yang-Mills measure, random matrix theory, combinatorial probability, and representation theory. He has been awarded grants such as the 'Randomness, Symmetry and Free Probability' grant from the London Mathematical Society (2019). Teaching responsibilities include courses like Advanced Partial Differential Equations (2022) and Random Processes (2019-2024), reflecting his expertise in mathematical analysis and stochastic processes. His work often bridges pure mathematics and theoretical physics, with applications to statistical mechanics and quantum field theory.

Daniel AlpayView profile

Professor

• Schur Analysis
• Slice-Hyperholomorphic Functions
• Signal Processing
• +23 more

Dr. Daniel Alpay is a Professor and holder of the Foster G. and Mary McGaw Professorship in Mathematical Sciences at Chapman University. He is affiliated with both Schmid College of Science and Technology and Fowler School of Engineering, contributing to mathematical research and its applications in electrical engineering. His expertise spans Schur Analysis, Slice-Hyperholomorphic Functions, Signal Processing, Linear Systems, Wavelet Filters, and White Noise Space. Dr. Alpay earned his PhD and MSc in Theoretical Mathematics from the Weizmann Institute of Science (Israel) under Prof. Harry Dym (1986, 1980-1986) and an Electrical Engineering degree from École Nationale Supérieure des Télécommunications (France, 1975-1978). His research focuses on infinite-dimensional analysis, hypercomplex structures, and interdisciplinary applications in signal processing and electrical engineering. His recent publications (2024) demonstrate a strong emphasis on Schur Analysis, hyperholomorphic functions, and their applications in stochastic processes, interpolation theory, and superoscillations. These works bridge pure mathematics with engineering, particularly in wavelet filters and linear systems. Dr. Alpay serves as Editor-in-Chief for the journal Complex Analysis and Operator Theory , reflecting his leadership in advancing mathematical research. His work continues to explore connections between abstract mathematical theories and practical engineering problems.

Sam BallasView profile

Associate Professor

• Geometric Structures on Manifolds
• Convex Projective Geometry
• Low-Dimensional Topology
• +7 more

Sam Ballas is an Associate Professor in the Department of Mathematics at Florida State University, where he also serves as the Director of Pure Mathematics. He previously held an RTG Visiting Assistant Professor position at UC Santa Barbara and completed his Ph.D. at The University of Texas at Austin under Alan Reid. His research focuses on geometric structures on manifolds, particularly convex projective structures, CP&#185-structures, and deformations of hyperbolic and non-compact 3-manifolds. His work integrates techniques from algebra, geometry, and topology, with applications to representation varieties and discrete subgroups of Lie groups. The recent publications show a consistent trend in low-dimensional geometric topology, with a focus on convex projective geometry, gluing equations, thin subgroups, and generalized cusps. The research spans theoretical classification, constructive methods, and deformation theory, often leveraging collaboration with leading figures in the field. Scientific Awards and Funding: NSF Grant DMS-1709097 Sam Ballas advises graduate students and is involved in mentoring through his role as Director of Pure Mathematics. His research has been supported by external grants and collaborative networks such as GEAR. He has organized multiple academic meetings, including the UF/FSU Topology and Geometry Meeting and AMS special sessions, fostering regional collaboration. He is actively involved in outreach, having contributed to a Futurum article for school-aged children and applied projective geometry to soccer analytics for the FSU Women's Soccer Team. He also organizes seminars and has taught a wide range of courses from Calculus to advanced topics in topology and geometric structures.

Adam HarrisView profile

Lecturer

• Pure Mathematics
• Complex Analysis
• Differential Geometry
• +4 more

Dr Adam Harris is a Lecturer in Mathematics at the School of Science and Technology, University of New England (UNE), where he has served since 2002. He holds key administrative roles as HBSc Coordinator and Postgraduate Coordinator for Mathematics, contributing significantly to curriculum development through the UNE Curriculum Committee. His academic foundation includes a BSc (Hons) and MSc from the University of Sydney, culminating in a PhD from Stony Brook University (1993). His pre-UNE career featured prestigious appointments: G.C. Evans Instructorship at Rice University (1993-1996), ARC Postdoctoral Fellowship at the University of Adelaide (1996-1999), JSPS Research Fellowship in Japan (1999-2000), and postdoctoral work at the University of Melbourne (2000-2002). Harris's research centers on pure mathematics with dual emphases in complex analysis and differential geometry. His investigations into complex analytic geometry and pseudoholomorphic curves bridge theoretical frameworks with physical applications, particularly in monopole field theory and geometric flows. Current work explores Riemann surface embeddings and stability properties in singular spaces, maintaining strong international collaborations forged during his Japanese fellowship. His 14 selected publications (1995-2020) reveal consistent thematic evolution: early work on vector bundle deformations matured into sophisticated analyses of Ricci-positive flows, geodesic structures, and singularity resolution. The trajectory demonstrates deepening integration of complex and Riemannian geometries, with increasing focus on physical applications like magnetic monopole fields. Harris's recognition includes: Australian Research Council Postdoctoral Fellowship (1996-1999) Japan Society for the Promotion of Science Fellowship (1999-2000) He currently supervises PhD candidate Barry Evans and previously guided Kumbu Dorji to completion (2019) on Sasakian manifold monopoles. As co-organizer of the Japanese-Australian Workshop on Singularities (2005-2017), he fostered cross-Pacific research networks. His teaching spans undergraduate calculus to advanced Riemannian geometry, reflecting his commitment to both foundational and specialized mathematical education. Active in professional communities through the American Mathematical Society and Australian Mathematical Sciences Institute, Harris maintains ongoing projects in stable surface embeddings and geometric flow dynamics, leveraging decades of singularities research to address contemporary challenges in geometric analysis.

Nikolai MakarovView profile

Professor

• Mathematics
• Complex Analysis
• Potential Theory
• +6 more

Nikolai Makarov is a Professor in the Division of Physics, Mathematics and Astronomy at the California Institute of Technology (Caltech). He has been affiliated with Caltech since 1991, initially as a Visiting Professor, then as a Professor until 2013, and subsequently as the Richard Merkin Distinguished Professor of Mathematics. Education: B.A. from Leningrad University (1982), Ph.D. from LOMI Mathematics Institute (Leningrad, 1986) Research Interests: Nikolai Makarov specializes in Complex Analysis and its intersections with Potential Theory , Harmonic Analysis , and Spectral Theory . His recent work explores advanced topics such as: Topology of quadrature domains and Hele-Shaw flows Uncertainty principles in non-linear Fourier transforms Universality laws in normal random matrix ensembles Dynamics of Schwarz reflection via Kleinian groups and rational maps Classical function theory on compact Riemann surfaces using Liouville conformal field theory Scientific Recognition: Richard Merkin Distinguished Professor of Mathematics (2013–present) Academic Leadership and Grants: Makarov has held continuous academic positions at Caltech since 1991, transitioning from Visiting Professor to Distinguished Professor. His research bridges pure mathematics and theoretical physics, with applications to conformal field theory, random matrix theory, and dynamical systems.

Anna-Maria von PippichView profile

Senior Lecturer

• Number Theory
• Arithmetic Geometry
• Automorphic Forms
• +3 more

Dr. Anna-Maria von Pippich is a Senior Lecturer in the Department of Mathematics and Statistics at the University of Konstanz, Germany. Her research focuses on number theory, particularly automorphic forms, and arithmetic geometry, with a specialization in Arakelov theory. She previously served as a Principal Investigator in the LOEWE research unit Uniformized Structures in Arithmetic and Geometry (2018–2022), collaborating with TU Darmstadt and Goethe University Frankfurt. She is actively involved in academic service, including editorial roles for Elemente der Mathematik and organizing the 2026 Annual Meeting of the German Mathematical Society (DMV) in Konstanz. Her teaching includes courses on advanced mathematical analysis and algebra. She has advised four doctoral students, focusing on topics like Eisenstein series and Green's functions. Pippich has authored/co-authored books, including Von den natürlichen Zahlen zu den Quaternionen , and contributes to conferences and workshops globally, emphasizing the promotion of mathematics education and research. Research Interests: Number theory (automorphic forms), arithmetic geometry (Arakelov theory), modular forms, Eisenstein series. Her work bridges analytic and geometric aspects of number theory, with applications to L-functions and spectral theory. Publications: Recent works explore L^\infty-norm bounds for Jacobi forms, special values of Green’s functions, and Kronecker limit formulas. Her articles address spectral expansions, scattering constants, and Riemann-Roch isometries in non-compact settings, reflecting a deep engagement with both classical and modern number theory. Advising & Grants: Supervised four PhD students, including David Klein (Hyperbolic Eisenstein series) and Priyanka Majumder (Green’s functions). Her research has been supported through collaborative projects and institutional grants. She also contributes to outreach initiatives, such as the Explore Science Workshop and conferences targeting early-career researchers. Professional Activities: Member of the DMV 2026 Organizing Committee, editorial board of Elemente der Mathematik , and frequent speaker at international conferences like the Women in Automorphic Forms series. Her work bridges pure mathematics with pedagogical outreach, fostering interdisciplinary collaboration.

• Algebraic Geometry
• Combinatorial Algebraic Geometry
• Syzygies
• +11 more

Daniele Agostini is a Junior Professor (Tenure Track) in the Department of Mathematics at Eberhard Karls University of Tübingen, affiliated with the Faculty of Mathematics and Natural Sciences. He is actively involved in the research section on Combinatorial Algebraic Geometry and serves as the international coordinator for the Mathematics Department. University: Eberhard Karls University of Tübingen School: Faculty of Mathematics and Natural Sciences Department: Department of Mathematics Academic Rank: Assistant Professor (Junior Professor, Tenure Track) Email: daniele.agostini@uni-tuebingen.de His primary research lies in algebraic geometry, with a focus on syzygies, curves, surfaces, abelian varieties, and their moduli spaces. He also explores interactions with probability, statistics, and mathematical physics. His recent publications reflect deep work in theta functions, KP solitons, and likelihood geometry, often in collaboration with institutions like MPI-MiS Leipzig and researchers such as Bernd Sturmfels. The 15 most recent publications demonstrate a consistent trend in combinatorial algebraic geometry, particularly in the study of moduli spaces, integrable systems, and computational aspects of algebraic varieties. Key themes include the geometry of curves and their Jacobians, tropical methods, and applications to mathematical physics and statistics. His work bridges theoretical depth with computational experimentation. Otto Hahn Medal (awarded to co-supervised PhD student Claudia Fevola, 2024) Agostini advises several PhD students, including Kees Heesterbeek, Clemens Nollau, Javier Sendra, and Claudia Fevola. He has been involved in significant research projects such as the ANR-DFG POK0 project on positivity of K-trivial varieties and the SFB-TRR 195 'Symbolic Tools'. He has taught courses such as Algebraic Curves, Algebraic Geometry, and Number Theory at Tübingen, Leipzig, and Berlin. He leads a research group in combinatorial algebraic geometry, with current members including postdoc Felix Röhrle and PhD students. His research group includes current and former members such as Demir Eken, Claudia Fevola, Leonid Monin, and Angel Rios Ortiz. He is also part of the URTAG seminar and contributes to the CRC TRR 195 collaboration, emphasizing interdisciplinary and international research engagement.

Trung Tuyen TruongView profile

Professor

• Several Complex Variables
• Dynamical Systems
• Algebraic Geometry
• +7 more

Trung Tuyen Truong is a Professor of Mathematics at the University of Oslo, Faculty of Mathematics and Natural Sciences, Department of Mathematics, since September 2023. Previously, he served as an Associate Professor at the same institution from September 2017 to September 2023. His academic journey includes a PhD from Indiana University (2006-2012) under Professor Eric Bedford, followed by postdoctoral positions at Syracuse University (2012-2014), Korea Institute for Advanced Study (2014-2015), and The University of Adelaide (2015-2017). His research spans several complex variables, dynamical systems, and related topics in algebraic geometry. He is particularly interested in applying dynamical systems theory and computational techniques to solve both theoretical and practical problems. His work includes developing optimization algorithms, exploring connections between Weil's Riemann hypothesis and dynamical systems, and investigating the Jacobian conjecture. Truong has made significant contributions to optimization methods, particularly developing Backtracking Gradient Descent and Backtracking New Q-Newton's method, which have applications in deep learning and solving complex mathematical problems. His research has been supported by various grants including a Seed grant from UiO Growth House for developing AI tools for mathematical education, membership in MSCA-Cofund-DP for ERC funding PhD positions, and as Principal Investigator for the Young Research Talents grant from the Research Council of Norway. Truong is actively involved in developing software tools to help students learn mathematics and optimization, as well as creating efficient computational tools. His NUV Optimization solvers have demonstrated superior performance compared to established tools like Matlab and IPOPT in certain optimization problems. He is collaborating with AI companies and medical doctors to use AI for diagnosing from lung data measurements. His publications demonstrate expertise across pure mathematics, computational methods, and interdisciplinary applications, with recent work focusing on dynamical systems approaches to number theory problems and practical optimization algorithms.