Robin Neumayer is an Assistant Professor in the Department of Mathematical Sciences at Carnegie Mellon University. Her research focuses on the intersection of calculus of variations, partial differential equations (PDE), and geometric analysis, with a particular emphasis on stability and regularity in geometric inequalities. Education: Ph.D. in Mathematics, University of Texas at Austin, supervised by Alessio Figalli and Francesco Maggi. Her work explores problems related to Sobolev inequalities, isoperimetric problems, scalar curvature, and free boundary phenomena. Recent publications highlight collaborations with leading researchers and address topics such as quantitative stability, anisotropic geometries, and nonlinear PDE. Scientific Awards and Fellowships: NSF Grant DMS-2155054 (2022-2025) RTG Postdoctoral Fellow at Northwestern University (2017-18, 2019-21) Institute for Advanced Study member (2018-19) She teaches courses such as Introduction to Differential Equations and maintains active research collaborations with institutions like the Center for Nonlinear Analysis.
Andrea Pinamonti is an Associate Professor at the University of Trento. His research focuses on geometric analysis, partial differential equations, calculus of variations, and functional analysis in metric measure spaces, particularly in sub-Riemannian and Carnot group settings. He frequently collaborates with researchers from institutions such as the Universities of Pisa, Jyväskylä, and others, addressing topics like geometric measure theory, regularity of solutions, and nonlocal functionals. His recent work examines structures in Heisenberg groups, such as perimeter minimization, CR geometry, and differentiability theorems. He has also explored equations involving the p-Laplacian, fractional operators, and universal differentiability sets in non-Euclidean spaces. These studies reflect a sustained engagement with the interplay between geometry and analysis in sub-Riemannian frameworks. Events and Contributions: Speaker at Warsaw Analysis Days Event WADE25 (2025), Summer school in fluid dynamics (2024), and Workshop on Synthetic Curvature Bounds (2024). Organizer of Three days between Analysis and Geometry in Trento (2025, 2024) and EUregio School on Control Theory and Applications (2024). He has maintained a prolific publication record across high-impact journals such as Journal of Geometric Analysis , Advances in Mathematics , and Communications in Contemporary Mathematics . His academic activities include promoting collaborative research through workshops and open positions at his institution.
Ali Maalaoui is a Professor of Mathematics at Clark University, specializing in geometric analysis and calculus of variations, with a focus on conformal and CR geometries. He holds a Ph.D. from Rutgers University (2013) and a prior Ph.D. from the University of Tunis (2010). Before Clark, he was an Associate Professor at the American University of Ras Al Khaimah in the UAE and a postdoctoral fellow at the University of Basel, Switzerland. His research explores critical geometric partial differential equations (PDEs) involving energy concentration and bubbling phenomena, particularly in contexts like Dirac-Einstein equations, fractional Yamabe problems, and CR manifolds. Key contributions include studies on Q’-curvature flows, singular solutions in geometric PDEs, and functional inequalities in non-Euclidean settings. Maalaoui’s work combines analytical techniques from functional analysis, geometric measure theory, and Morse-Floer homology. Recent trends in his publications focus on fractional operators, spin geometry, and applications of conformal invariance principles. His articles span high-impact journals such as Mathematische Nachrichten , Journal of Differential Equations , and Calculus of Variations and Partial Differential Equations . No scientific awards or grants are explicitly listed in the provided information. He has advised no listed students but has contributed to collaborative projects with institutions worldwide. His research often involves international co-authors, reflecting a global network in geometric analysis.
Eric Christopher Chen is an Assistant Professor in the Department of Mathematics at the University of Illinois Urbana-Champaign, affiliated with the College of Liberal Arts & Sciences. His research focuses on geometric analysis, geometric flows, and partial differential equations. Previously, he was an NSF Postdoctoral Fellow at UC Berkeley and a Ky Fan Visiting Assistant Professor at UC Santa Barbara. Chen’s recent work in geometric flows includes studies on Yamabe flow convergence on asymptotically Euclidean and flat manifolds, Ricci flow smoothing with integral curvature pinching, and sphere theorems for Yamabe metrics. His publications often bridge differential geometry with nonlinear PDE analysis. NSF Postdoctoral Fellowship (2019–2022) Chen is actively involved in the Illinois Geometric Analysis Seminar , organizing talks and presenting his research on Yamabe flow behavior in 2025. His email contact is ecchen@illinois.edu.
Renato G. Bettiol is an Associate Professor in the Department of Mathematics at Lehman College and a doctoral faculty member at the Graduate Center of The City University of New York (CUNY). His research focuses on Differential Geometry, Geometric Analysis, and Partial Differential Equations. He is a co-organizer of the CUNY Geometric Analysis seminar and has received prestigious awards including an NSF CAREER Award (2022-2027) and a CUNY Feliks Gross Award (2023). B.Sc. and M.Sc. from University of São Paulo (2008, 2010) Ph.D. from University of Notre Dame (2015) under Karsten Grove Hans Rademacher Instructor at University of Pennsylvania (2015-2018) Postdoctoral work at Max Planck Institute for Mathematics (2016) Joined CUNY as Assistant Professor (2018), promoted to Associate Professor (2023) Bettiol's research centers on two main areas: Curvature and Topology, and Geometric Analysis. In Curvature and Topology, he investigates how curvature constraints affect global shape, working on problems like the Hopf questions and Bott conjecture. He develops innovative approaches using the curvature operator R: ∧²TM → ∧²TM, particularly employing the Finsler-Thorpe trick in dimension 4. His work connects to Convex Algebraic Geometry through spectrahedral shadows, enabling computational approaches to curvature problems. In Geometric Analysis, he applies bifurcation theory to prove existence of multiple solutions to problems like the Yamabe problem and minimal surface equations, often analyzing degenerations of symmetric solutions. His recent publications show a strong focus on minimal surfaces in symmetric spaces, curvature operators in four dimensions, bifurcation phenomena, and connections between curvature conditions and topological constraints. The work demonstrates increasing sophistication in combining geometric, topological, and computational approaches to tackle longstanding problems in Riemannian geometry. NSF CAREER Award (2022-2027) CUNY Feliks Gross Award (2023) Bettiol serves as a doctoral advisor at the CUNY Graduate Center and has mentored numerous students through his research collaborations. His current research is supported by the NSF CAREER Award DMS-2142575, following previous support from NSF Award DMS-1904342. He actively collaborates with researchers worldwide, particularly with Paolo Piccione, Marcelo Kummer, and Ricardo Mendes. As co-organizer of the CUNY Geometric Analysis seminar, he fosters a vibrant research community focused on weekly discussions of cutting-edge developments in the field. Bettiol is deeply involved in the CUNY Geometric Analysis research group, which meets weekly at the Graduate Center. His work bridges pure mathematics with computational approaches, as evidenced by his participation in workshops like the Computational Geometric Analysis workshop. He maintains active collaborations with institutions including the Max Planck Institute, University of Pennsylvania, and various international research centers, contributing to a dynamic research environment that connects theoretical insights with computational methods.
Dr. Yannick Sire is a Professor of Mathematics and Director of Graduate Studies at the Department of Mathematics, Johns Hopkins University, affiliated with the Krieger School of Arts & Sciences. He holds a PhD from Institut National des Sciences Appliquees de Toulouse (France), with postdoctoral training at the University of Texas at Austin. His research focuses on partial differential equations, harmonic analysis, geometric analysis, and dynamical systems. Notable contributions include work on conformal geometry, fractional Laplacian operators, and nonlocal equations. Education: PhD, Institut National des Sciences Appliquees de Toulouse (France), 2005 Master's degree, Université Paul Sabatier (France), early 2000s Joint engineering degree (applied mathematics) and pure mathematics degree from Toulouse institutions Research Interests: Nonlinear elliptic and parabolic PDEs Geometric flows and conformal invariants Fractional operators and their applications Free boundary problems and variational methods Singular solutions and regularity theory Recent work emphasizes the interplay between geometric analysis and nonlocal equations, including studies on spinorial Yamabe problems, fractional Schrödinger operators, and critical phenomena in nonlinear heat equations. His research has implications for mathematical physics, geometric measure theory, and materials science. Grants & Academic Roles: Director of Graduate Studies at JHU Former faculty at Aix-Marseille University (2007–2020) Recipient of grants supporting research in geometric analysis and PDEs Labs/Teams: Active in JHU's Mathematics Department research groups focused on analysis and geometry, collaborating internationally on projects involving geometric PDEs and nonlocal operators.
Monica Musso is a Professor in the Department of Mathematical Sciences at the University of Bath. Her research centers on nonlinear analysis and partial differential equations, with specific interests in singularity formation, concentration phenomena, and the fractional Yamabe problem. She actively supervises PhD students and collaborates on projects funded by the Royal Society and EPSRC. Her recent work investigates vortex dynamics in fluid mechanics, blow-up solutions in geometric flows, and asymptotic properties of Euler equations. Articles demonstrate a focus on rigorous mathematical frameworks for hydrodynamic instability and topological methods.
Hon To Hardy Chan is a Research Fellow at the Department of Mathematics and Computer Science at the University of Basel, Switzerland, where he works in the Research Group Lenzmann. He currently holds an SNF Ambizione Fellowship, which is a prestigious independent research grant from the Swiss National Science Foundation. Dr. Chan earned his Ph.D. in 2018 from the University of British Columbia with a dissertation titled 'New solutions to local and non-local elliptic equations,' supervised by Juncheng Wei and Nassif Ghoussoub. Prior to this, he completed an M.Phil. in 2013 at the Chinese University of Hong Kong under Kai-Seng Chou, with a thesis on 'Convergence of bounded solutions for nonlinear parabolic equations.' His research focuses on nonlinear partial differential equations, particularly semilinear elliptic equations, nonlocal equations, phase transitions, the Yamabe problem, nonlocal minimal surfaces, construction of solutions, singular solutions, and free boundary problems. Dr. Chan has made significant contributions to the field including the flatness of stable free boundaries, classification of stable nonlocal minimal surfaces, theory of nonlocal ODEs, fractional elliptic gluing schemes, and new boundary singular phenomena. Analysis of his recent publications reveals a strong focus on fractional calculus and nonlocal operators, with particular attention to geometric problems, singular solutions, and boundary behavior. His work bridges pure mathematical analysis with applications in geometry and physics, demonstrating sophisticated techniques that combine classical ODE methods with modern nonlocal analysis. Among his notable achievements is the SNF Ambizione Fellowship, which supports his independent research program. His publications in top mathematics journals reflect the significance and impact of his work in the mathematical community. Dr. Chan teaches courses in advanced mathematics, including 'Elliptic PDEs: Theory and Applications' for the Spring semester of 2025. His research is supported by multiple prestigious fellowships including his current SNF Ambizione Fellowship, previous Severo Ochoa Postdoctoral Fellowship at ICMAT Madrid (2021-2022), and ERC Postdoctoral Fellowship at ETH Zurich (2018-2021). He is actively involved in the mathematical research community, collaborating with prominent mathematicians across Europe and contributing to the advancement of nonlocal partial differential equations and their applications.
Sun-Yung Alice Chang is a distinguished mathematician holding the Eugene Higgins Professorship in the Department of Mathematics at Princeton University. She has been a faculty member since 1998 and served as department chair from 2009 to 2012. Her research focuses on geometric nonlinear partial differential equations, conformal geometry, and isospectral geometry, with notable contributions to Sobolev inequalities, Q-curvature, and the Yamabe problem. Chang earned her B.S. from National Taiwan University (1970) and her Ph.D. from the University of California, Berkeley (1974). She held academic positions at SUNY Buffalo, UCLA, and the University of Maryland before joining Princeton. Her work has been recognized with prestigious awards, including the Ruth Lyttle Satter Prize (1995) and a Sloan Fellowship (1979–1980). She has served on committees for the National Academy of Sciences and the National Science Foundation, and her research often intersects with extremal metrics, geometric flows, and spectral geometry.
