Find Academic Supervisors

• Fourier analysis
• Harmonic analysis
• Real analysis
• +7 more

Joris Roos is an Assistant Professor at the University of Massachusetts Lowell within the Department of Mathematics and Statistics, part of the Kennedy College of Sciences. He holds a Ph.D. in Mathematics from the University of Bonn (2017). His research focuses on Fourier analysis, real analysis, and computer-assisted proofs, with particular emphasis on harmonic analysis applications in combinatorics, number theory, PDEs, and fractal geometry. He has been supported by grants including the NSF DMS-2154835 (2022-2025) and a Simons Foundation Grant (2021-2022). Roos has also participated in fellowships at the Hausdorff Research Institute for Mathematics and Oberwolfach. His work bridges pure analysis with computational methods, addressing problems in multilinear inequalities, maximal functions, and sparse domination techniques. Education: Ph.D. in Mathematics, University of Bonn, 2017 Research Interests: Fourier and harmonic analysis on Euclidean spaces Oscillatory integrals, maximal functions, singular integrals Discrete analogues in harmonic analysis Applications to combinatorics, number theory, dispersive PDEs Formalization of mathematics using interval arithmetic Grants & Fellowships: National Science Foundation Grant DMS-2154835 (2022-2025) Simons Foundation Grant ID 855692 (2021-2022) American Institute of Mathematics SQuaRE projects (2021-2025) Hausdorff Research Institute for Mathematics Fellowships (2021, 2022, 2024) Oberwolfach Research Fellowship (2023) Current Activity: Leading the 2024 HIM Trimester Program on Boolean Analysis in Computer Science and co-organizing the MLHA 2024 Spring School on multilinear singular integrals.

Giorgio StefaniView profile

Assistant Professor

• Analysis of Partial Differential Equations (PDEs)
• Functional Analysis
• Metric Geometry
• +4 more

Giorgio Stefani is a Fixed-Term Researcher (Ricercatore a Tempo Determinato di tipo A - RTDA) at the Department of Mathematics, University of Padova (Italy). He holds a Ph.D. in Mathematics from Scuola Normale Superiore of Pisa (2020) and has held postdoctoral positions at the University of Basel (2020-2022) and SISSA Trieste (2022-2024). Ph.D.: Mathematics, Scuola Normale Superiore di Pisa (2020) PostDoc: University of Basel (2020-2022) PostDoc: SISSA Trieste (2022-2024) Current: Fixed-Term Junior Assistant Professor, University of Padova (2024-) His research focuses on Analysis of PDEs , Functional Analysis , and Metric Geometry , with particular emphasis on: Fractional calculus and non-local functionals Geometric measure theory and perimeter minimization Sharp inequalities in Sobolev spaces Applications to Euler and Vlasov-Poisson systems Topological singularities in variational problems His recent publications demonstrate a strong trend toward Gamma-convergence of fractional energies , Hardy inequalities , and non-local perimeters . He actively participates in geometric analysis seminars and workshops, including the 2022 Rome workshop on anisotropic isoperimetric problems. Contact: giorgio.stefani@unipd.it | giorgio.stefani.math@gmail.com

• Geometric Analysis
• Differential Geometry
• Non-Smooth Geometry
• +3 more

Daniele Semola is an Assistant Professor at the Faculty of Mathematics, University of Vienna. His research focuses on geometric analysis, differential geometry, and non-smooth spaces with curvature bounds. He holds a Ph.D. from an unspecified institution (Ph.D. Thesis, 2020). His work addresses problems in Ricci curvature, isoperimetric inequalities, and topological aspects of manifolds. Research interests include geometric analysis, metric measure spaces, curvature bounds, and applications to geometric flows. Recent studies explore stability of geometric structures, singular set stratification, and functional inequalities in non-smooth settings. Key contributions include counterexamples to the Milnor Conjecture, analysis of manifolds with nonnegative Ricci curvature, and stability results for spaces with lower curvature bounds. Semola actively participates in workshops on optimal transport and synthetic curvature bounds, reflecting his interdisciplinary approach.

• Functional Analysis
• Partial Differential Equations
• Geometric Analysis
• +4 more

Michele Miranda Jr is an Assistant Professor at the Department of Mathematics of the University of Ferrara. His research focuses on functional analysis, geometric measure theory, and partial differential equations, with particular emphasis on BV functions, Sobolev spaces, and heat semigroups in various settings including metric measure spaces and Wiener spaces. His work explores topics such as boundary measures, perimeter minimization, and properties of functions in infinite-dimensional spaces. Key contributions include characterizations of BV functions in abstract Wiener spaces and analysis of heat semigroups in Carnot groups. He has collaborated extensively with researchers like L. Ambrosio, V. Caselles, and D. Pallara. Miranda Jr has spoken at conferences such as Isoperimetric Problems Between Analysis and Geometry (June 2014). His research trends reflect a blend of analytical techniques with geometric and probabilistic perspectives, addressing fundamental questions in calculus of variations and measure theory. No scientific awards or grants are explicitly mentioned in the provided text.

• Geometric Measure Theory
• Partial Differential Equations (PDEs)
• Calculus of Variations
• +4 more

Guido De Philippis is a Full Professor at the Courant Institute of Mathematical Sciences, New York University. His research focuses on geometric measure theory, partial differential equations, and calculus of variations. He has contributed to advancing understanding in minimal surfaces, optimal transport, and free boundary problems. His work often bridges geometric analysis with nonlinear PDE theory, addressing questions of regularity, existence, and stability. Affiliations: Courant Institute of Mathematical Sciences (NYU). Education: PhD in Mathematics (2013, Sobolev regularity for Monge-Ampère equations). De Philippis’s research interests include geometric flows, spectral optimization, and the structure of measures constrained by PDEs. His papers explore topics like anisotropic minimal surfaces, regularity of free boundaries, and quantitative isoperimetric inequalities. Notable contributions include foundational work on the Monge-Ampère equation and optimal transport theory. He has been recognized with the Chaire De La Vallée Poussin Prize Lectures (2020/21) and has organized conferences in geometric analysis and PDEs. His collaborations span across institutions, reflecting his international impact in mathematics.

Matteo NovagaView profile

Professor

• Geometric Flows
• Calculus of Variations
• Partial Differential Equations
• +3 more

Matteo Novaga is a Full Professor in the Department of Mathematics at the University of Pisa. His research focuses on geometric flows, calculus of variations, partial differential equations, and free boundary problems. He has contributed significantly to topics such as mean curvature flow, isoperimetric problems, nonlocal equations, and mathematical physics. Academic Role: Full Professor Institution: University of Pisa Department: Dipartimento di Matematica Novaga's work spans theoretical and applied aspects of geometric analysis, with a particular emphasis on evolving interfaces, energy minimization, and the mathematical modeling of physical phenomena. His recent research includes studies on periodic tilings, fractional mean curvature flows, and charged liquid drop models. His publications reflect a strong interest in the interplay between geometry and analysis, addressing questions related to stability, regularity, and asymptotic behavior of solutions. He has organized numerous conferences and workshops, contributing to the advancement of geometric partial differential equations and calculus of variations.

Jiuyi ZhuView profile

Associate Professor

• Partial Differential Equations
• Harmonic Analysis
• Spectral Theory
• +4 more

Jiuyi Zhu is an Associate Professor in the Department of Mathematics at Louisiana State University (LSU). His research focuses on partial differential equations, harmonic analysis, spectral theory, and geometric analysis. Specific interests include geometric properties of eigenfunctions, quantitative uniqueness of PDE solutions, elliptic homogenization, nonlinear PDEs, and geometric inequalities. Dr. Zhu has an extensive publication record in top journals such as Archive for Rational Mechanics and Analysis, SIAM Journal on Mathematical Analysis, and Communications in Partial Differential Equations. His work often bridges theoretical analysis with applications in mathematical physics and spectral geometry. Recent research trends emphasize spectral inequalities, quantitative unique continuation, and nodal set analysis in elliptic equations and Schrödinger operators. Outreach activities include demonstrations of Chladni patterns, K-12 math outreach, and undergraduate projects on vibrations and isoperimetric inequalities. His contributions to the field include groundbreaking studies on doubling inequalities, critical sets in periodic homogenization, and boundary value problems for eigenfunctions. While no specific grants or awards are listed, his work reflects sustained engagement with foundational and applied aspects of PDE theory.

Yiming ZhaoView profile

Assistant Professor

• Convex geometry
• Geometric analysis
• Partial differential equations
• +3 more

Yiming Zhao is an Assistant Professor in the Department of Mathematics at Syracuse University, affiliated with the College of Arts & Sciences. His research focuses on convex geometry, geometric analysis, and partial differential equations, particularly solving Monge-Ampère equations and exploring isoperimetric inequalities. He holds a Ph.D. from New York University (2017) and a B.S. from Shanghai University (2011). Education: Ph.D., Mathematics, New York University (2017); B.S., Mathematics, Shanghai University (2011). Research emphasizes geometric PDEs and their applications to Minkowski problems, curvature measures, and convex body reconstructions. His work is supported by NSF grants including the NSF CAREER Award (2024–2029) and a prior grant (2020–2024). Recent grants include: CAREER: Isoperimetric and Minkowski Problems in Convex Geometric Analysis (NSF, 2024–2029) Convex Body Shape Recovery via Geometric Measures and Inequalities (NSF, 2021–2024) He has given over 20 invited talks globally, including at institutions like the Chinese Academy of Sciences, Cornell University, and the University of Georgia. Teaching includes courses on real analysis and calculus at both Syracuse University and MIT.

Tom HutchcroftView profile

Professor

• Probability Theory
• Percolation Theory
• Phase Transitions
• +4 more

Tom Hutchcroft is a Professor of Mathematics at the California Institute of Technology (Caltech), affiliated with the Division of Physics, Mathematics, and Astronomy. He specializes in probability theory, particularly percolation theory, focusing on phase transitions in non-Euclidean geometries and fractal structures. In 2024, he was awarded the prestigious Packard Fellowship for Science and Engineering, providing $875,000 over five years to support his research. His work includes groundbreaking contributions such as proving the existence of two phase transitions in negatively curved spaces and solving Schramm's locality conjecture with graduate student Philip Easo. Education Bachelor's degree in Mathematics, University of Cambridge (2013) PhD in Mathematics, University of British Columbia (2017) Postdoctoral Fellowships at the University of Cambridge (2017–2021) Research Interests Hutchcroft explores percolation dynamics in complex systems, including phase transitions, long-range percolation, and critical phenomena. His work bridges pure mathematics and theoretical physics, addressing foundational problems like the behavior of three-dimensional percolation at criticality. He investigates how mathematical frameworks can unify seemingly unrelated physical systems. Awards 2024 Packard Fellowship for Science and Engineering Advising & Grants Hutchcroft advises graduate student Philip Easo and leverages the Packard Fellowship to pursue high-risk, high-reward projects. His research is supported by grants enabling exploration of nonamenable graphs and long-range percolation models. Labs/Teams He collaborates with Caltech's Mathematics Department and participates in interdisciplinary initiatives within the Division of Physics, Mathematics, and Astronomy, contributing to research centers like the Institute for Quantum Information and Matter (IQIM).

Yifan JingView profile

Assistant Professor

• Additive and Combinatorial Number Theory
• Combinatorics and Graph Theory
• Harmonic Analysis
• +8 more

Yifan Jing is an Assistant Professor in the Department of Mathematics at The Ohio State University (OSU). He previously held postdoctoral positions at the University of Oxford’s Mathematical Institute and Wolfson College, mentored by Ben Green. His academic journey includes a PhD from the University of Illinois Urbana-Champaign (2021), supervised by József Balogh and Xiaochun Li, an M.Sc. from Simon Fraser University (2018) under Bojan Mohar, and a B.Sc. from the University of Science and Technology of China (2016), advised by Jack Koolen. His research focuses on Arithmetic Combinatorics, Analytic and Combinatorial Group Theory, Lie groups, Abstract Harmonic Analysis, Representation Theory, Additive Number Theory, Model Theory applications, Discrete Probability, and Theoretical Computer Science. Notable contributions include work on measure growth in Lie groups, inverse theorems for geometric inequalities, and structural graph theory. He received the 2023 Kirkman Medal for his research contributions. He currently organizes OSU’s Combinatorics Seminar and teaches Math 4507: Geometry. His advising includes PhD students Yewen Sun, Chavdar Lalov, and Yuchen Meng, alongside mentoring multiple undergraduate researchers at Oxford. Collaborators include leading mathematicians such as Chieu-Minh Tran, Ruixiang Zhang, and Bojan Mohar. His work bridges analysis, algebra, and logic to address problems across combinatorics, number theory, and geometry.

Demetres ChristofidesView profile

Associate Professor

• Combinatorics
• Random Graphs
• Extremal Graph Theory
• +10 more

Dr. Demetres Christofides is an Associate Professor in Mathematics and Course Leader of BSc (Hons) Mathematics & Statistics at the University of Central Lancashire Cyprus (UCLan Cyprus). He holds a PhD in Mathematics from the University of Cambridge (2008), alongside advanced qualifications from Cambridge including a BA (2003), MA (2007), and Certificate of Advanced Study in Mathematics (2004). Affiliations: School of Sciences, Department of Mathematics. Administrative Roles: Former Senate Member (2015–2020), Deputy Head of School (2017–2018), and Academic Standards Lead (2017–2020). Research Interests: Focuses on combinatorics, including random graphs, extremal graph theory, positional games, and algorithmic graph theory. His work spans Hamilton cycles, Cayley graphs, information theory, and structural graph properties. He has contributed to over 10 peer-reviewed publications in journals like Journal of Combinatorial Theory and SIAM Journal on Discrete Mathematics . Funding & Grants: Secured research grants from the Cyprus Research Promotion Foundation and the EPSRC, including projects on extremal combinatorics and graph algorithms. Awards: Smith Prize (University of Cambridge). Outreach: Trains Cypriot Mathematical Olympiad teams, creates problems for international competitions (e.g., IMO Shortlist 2020), and co-authored a training book for high-school mathematics competitions. Teaching: Leads and teaches modules across all undergraduate years, including Real Analysis, Algebra, and Complex Analysis. Previously taught at Charles University, Warwick, and Birmingham.

• Geometric Analysis
• Calculus of Variations
• Partial Differential Equations
• +3 more

Gian Paolo Leonardi is a Full Professor in the Department of Mathematics at the University of Trento. His research focuses on geometric analysis, calculus of variations, partial differential equations, and their applications in mathematical physics and optimization. He has organized several international conferences, including the 'One-Day Workshop on Applied Mathematics' and the 'National Conference on Calculus of Variations'. His work spans topics such as isoperimetric inequalities, free boundary problems, and geometric measure theory. Notable contributions include studies on Wulff crystals in materials science, quantitative Faber-Krahn inequalities, and the prescribed mean curvature equation. Recently, he has also explored applications of geometric analysis in deep learning theory, proposing novel complexity measures for neural networks. Leonardi has collaborated with institutions like ETH Zurich, the University of Jyväskylä, and the University of Padua. His research often bridges pure mathematics and applied problems, with a focus on variational principles and geometric regularity. Despite extensive contributions, no specific awards or grants are explicitly listed in the provided materials.

• Partial Differential Equations
• Calculus of Variations
• Shape Optimization
• +4 more

Carlo Nitsch is a Full Professor in Mathematical Analysis at the University of Naples Federico II, affiliated with the Dipartimento di Matematica e applicazioni 'R. Caccioppoli'. His research focuses on partial differential equations, calculus of variations, shape optimization, and geometric inequalities. He holds a Master's in Physics and a PhD in Mathematics from the University of Naples and the University of Rome, respectively, with a visiting period at Lawrence Berkeley National Lab (2002–2003). He coordinates the PhD program in Mathematics and Applications and serves on the board of the MPHS PhD program at Scuola Superiore Meridionale. Notable awards include the Carlo Miranda Prize (2008) and an Alexander von Humboldt Fellowship (2013). He has been honored as a member of Accademia Pontaniana (2022) and the Accademia di Scienze Fisiche e Matematiche (2024). His work spans theoretical contributions to eigenvalue problems, free boundary phenomena, and optimal design, with applications in material science and engineering. Recent research emphasizes spectral geometry, thermal insulation optimization, and multiplicative controllability of PDEs. Key publications address isoperimetric inequalities, Robin boundary conditions, and shape optimization in thermal systems. He actively organizes conferences and workshops, such as the 'Frontiers in Calculus of Variations and Applied Analysis' (2025) and 'Matter of Shapes' (2025 INDAM Workshop). His collaborative projects include studies on mean curvature flow and numerical methods for free boundary problems.

• Geometric Analysis
• Differential Geometry
• Calculus of Variations
• +3 more

Christian Scharrer is a Research Fellow at the Institute for Applied Mathematics, University of Bonn. He works under Prof. Dr. Stefan Müller and focuses on geometric analysis, with a particular emphasis on varifolds, geometric inequalities, and variational problems in differential geometry and biophysics. His research explores geometric measure theory, surface energies, and applications to biological membranes. Key areas include Willmore energy minimization, Helfrich functional analysis, and the development of novel inequalities for submanifolds. Publications highlight contributions to geometric variational problems, including studies on Delaunay tori, Canham-Helfrich energy, and Sobolev-Poincaré inequalities. His work bridges pure mathematics with applications in biomembrane modeling and geometric flows. No scientific awards are explicitly mentioned. His academic profile emphasizes postdoctoral research without listed advising roles or grants. The Institute for Applied Mathematics serves as his primary affiliation, with no secondary labs or teams noted.

• Differential Geometry
• Geometric Analysis
• Minimal Surfaces
• +4 more

Jonathan Julian Zhu is an Assistant Professor at the University of Washington's Department of Mathematics. He previously held an NSF Postdoc at Princeton University and completed his PhD at Harvard University under Professors Bill Minicozzi and Shing-Tung Yau. His research focuses on Differential Geometry and Geometric Analysis, particularly minimal surfaces, mean curvature flow, and related singularity phenomena. He organizes the UW Differential Geometry/PDE Seminar and has been involved in various academic leadership roles including the SMRI-Matrix Symposium and Princeton's Geometric Analysis seminar. Education: Ph.D. in Mathematics (Harvard University), Postdoctoral research at Princeton University. Research interests include geometric flows, minimal submanifolds, self-shrinkers, Ricci solitons, and applications of min-max theory. His work bridges theoretical insights with geometric PDEs, addressing questions about rigidity, entropy, and stability in curved spaces. Teaching includes courses at UW (Math 336, 583), Princeton (MAT175, MAT203), and Harvard (Math21a, Math1b). His publications address foundational problems in geometric analysis, such as quantifications of symplectic non-squeezing, uniqueness of blowups in mean curvature flow, and rigidity properties of self-shrinkers. Professional activities include seminar organization, grant participation, and collaborations on geometric analysis projects. His work contributes to advancing understanding of geometric structures and their evolution under curvature-driven flows.