Find Academic Supervisors

• Real Algebraic Geometry
• Combinatorics
• Convex Optimization
• +3 more

Cynthia Vinzant is an Associate Professor in the Department of Mathematics at the University of Washington. Her research focuses on real algebraic geometry, combinatorics, and convex optimization, with applications to hyperbolic polynomials, determinantal representations, and convex algebraic geometry. She collaborates extensively on projects involving numerical ranges, quasicrystals, and geometric optimization problems. Research Interests: Real algebraic geometry and its connections to combinatorics and optimization Hyperbolic and log-concave polynomials Convex geometry and spectrahedra Applications in matrix analysis and statistical mechanics Her work spans theoretical advances in algebraic geometry and computational methods, including contributions to the study of principal minors, tropical geometry, and phase retrieval problems. Recent publications highlight her focus on Fourier quasicrystals, higher-rank numerical ranges, and combinatorial structures in matroids. Publications: Over 30 peer-reviewed articles, including influential works on quartic curves, determinantal representations, and log-concave polynomials. Grants & Collaborations: Active in interdisciplinary research, with projects supported by NSF and collaborations in algebraic combinatorics and geometric optimization.

Michael J. SchlosserView profile

Professor

• Combinatorics
• Number Theory
• Special Functions
• +3 more

Michael J. Schlosser is a faculty member at the Faculty of Mathematics , University of Vienna. His research focuses on combinatorics, number theory, and special functions, with a particular emphasis on hypergeometric and q-series, elliptic extensions, and rook theory. He has authored numerous publications in collaboration with prominent mathematicians such as Victor Guo, Meesue Yoo, and Christian Krattenthaler. Research Interests : Combinatorics and hypergeometric series Elliptic functions and their applications Partition theory and supercongruences Matrix inversions and determinant evaluations Students : Josef Küstner (Ph.D., 2022) Christian Stump (Ph.D., 2008) Editorial Roles : Associate Editor, Journal of Mathematical Analysis and Applications Editorial Board Member, The Ramanujan Journal Editorial Board Member, Journal of Algebraic Combinatorics

• Pure Mathematics
• Mathematical Physics
• Applied Mathematics
• +3 more

Ambrus Pal is a Reader in Pure Mathematics at the Department of Mathematics, Imperial College London, within the Faculty of Natural Sciences. His research interests span Pure Mathematics, Mathematical Physics, and Applied Mathematics, with a focus on algebraic geometry, number theory, and cohomology theories. He is affiliated with the CNRS-Imperial Abraham de Moivre UMI and contributes to both research and teaching in mathematics. His work often addresses cohomological pairings, arithmetic geometry, and the Brauer-Manin obstruction. Notable projects include studies on p-adic cohomology, motivic Euler characteristics, and the arithmetic Yau-Zaslow formula. Pal has collaborated on international conferences and schools, such as the LMS-CMI Research School on Homotopy Theory and Arithmetic Geometry. His publications reflect a deep engagement with abstract algebraic structures, including quasi-Boolean groups, Grothendieck-Witt rings, and real projective geometry. While his research emphasizes theoretical advances, applications to arithmetic applications and global function fields are recurrent themes. No scientific awards or advising records are explicitly mentioned.

Ravi VakilView profile

Professor

• Algebraic Geometry
• Enumerative Geometry
• Moduli Spaces
• +3 more

Ravi Vakil is the Robert Grimmett Professor of Mathematics at Stanford University and the President of the American Mathematical Society (AMS). He specializes in algebraic geometry, with contributions to enumerative geometry, moduli spaces, intersection theory, and Schubert calculus. His research interests also extend to mathematics education and public outreach. He earned his Ph.D. from Harvard University under Joe Harris. Vakil is renowned for his book The Rising Sea: Foundations of Algebraic Geometry , set for publication by Princeton University Press in 2025. He co-founded MathOverflow and Proof School, and serves on editorial boards of journals like Algebra and Number Theory and Involve . His awards include the AMS Centennial Fellowship, Coxeter-James Prize, Sloan Fellowship, and the Chauvenet Prize for mathematical exposition. He has advised numerous Ph.D. students and is known for his dedication to teaching, receiving the Dean’s Award for Distinguished Teaching. Vakil actively participates in academic service, including roles on the AMS Board and the National Math Stars advisory board. His research explores foundational questions in algebraic geometry, often with connections to combinatorics and representation theory.

Navid NabijouView profile

Lecturer

• Algebraic Geometry
• Moduli Spaces
• Gromov-Witten Theory
• +3 more

Dr. Navid Nabijou is a Lecturer in Mathematical Sciences at Queen Mary University of London, part of the School of Mathematical Sciences. He is affiliated with the Centre for Combinatorics, Algebra and Number Theory. His research focuses on algebraic geometry, particularly moduli spaces and combinatorial techniques from logarithmic and tropical geometry. He earned his PhD from Imperial College London in 2018, followed by postdoctoral positions at the University of Glasgow and the University of Cambridge before joining Queen Mary in 2022. His research interests include algebraic curves, Gromov-Witten theory, logarithmic and tropical geometry, orbifolds, and moduli spaces. He has secured grants such as the COW Algebraic Geometry Seminar (Heilbronn 2025) and the London Mathematical Society grants for conferences and seminars. His work bridges algebraic geometry with combinatorial methods, addressing foundational questions in enumerative geometry and moduli theory. Key research trends in his recent articles include applications of logarithmic and tropical geometry to Gromov-Witten invariants, moduli spaces of curves, and toric varieties. He has contributed to understanding universality in tropical maps, divisors on logarithmic mapping spaces, and degenerations of hypersurfaces. Dr. Nabijou has advised no students listed, but his grants support collaborative research activities. His lab or team is part of the Centre for Combinatorics, Algebra and Number Theory at Queen Mary University of London.

Anton MellitView profile

Associate Professor

• Algebraic Geometry
• Enumerative Geometry
• Representation Theory
• +4 more

Anton Mellit is an Associate Professor in the Faculty of Mathematics at the University of Vienna. He holds a Doctor of Natural Sciences from the University of Bonn (2008) and completed postdoctoral positions at institutions including the Hausdorff Center for Mathematics (Bonn), Scuola Internazionale Superiore di Studi Avanzati (Trieste), and the Institute of Science and Technology Austria (Klosterneuburg). His research focuses on algebraic geometry, enumerative geometry, and their connections to representation theory, combinatorics, and number theory, with particular emphasis on moduli spaces, categorification, and character varieties. Education: Doctor of Natural Sciences (2008), University of Bonn Master in Applied Mathematics (2004), National Technical University of Ukraine Bachelor in Applied Mathematics (2002), National Technical University of Ukraine Research Interests: Investigates Poincaré polynomials of moduli spaces, Higgs bundles, and character varieties Studies Khovanov-Rozansky homology and torus knots Explores connections between Macdonald polynomials and affine Springer fibers Develops combinatorial approaches to algebraic geometry via Hilbert schemes and categorification Grants & Projects: ERC Consolidator Grant: Macdonald polynomials and related structures in geometry FWF Standalone Project: Refined invariants in combinatorics, low-dimensional topology, and geometry of moduli spaces Labs/Teams: Collaborates with researchers in geometric representation theory, quantum cohomology, and algebraic combinatorics, including notable co-authors like Erik Carlsson, Eugene Gorsky, and Maxim Smirnov.

• String Theory
• Supersymmetric Field Theory
• Differential Geometry
• +3 more

Andrew Neitzke is a Professor of Mathematics at Yale University, where he holds the Kline Tower office (KT 913). His research focuses on the intersection of string theory, supersymmetric field theory, and geometry, with notable contributions to spectral networks, Hitchin systems, and quantum field theory applications. He has taught advanced mathematics courses at both Yale and the University of Texas at Austin, including Vector Analysis, Differential Geometry, and Quantum Field Theory-related topics. His work bridges theoretical physics and pure mathematics, particularly in understanding geometric structures through quantum field theory frameworks. Key contributions include studies on WKB asymptotics, Stokes phenomena, and the interplay between spectral curves and topological strings. He maintains an active role in both research and education, with a prolific publication record in high-impact journals.

Noriko YuiView profile

Professor

• Arithmetic Geometry
• Number Theory
• Algebraic Geometry
• +3 more

Noriko Yui is a Professor of Mathematics at Queen's University in Kingston, Ontario. She holds academic affiliations within the Department of Mathematics and Statistics under the Faculty of Arts and Science. Her research bridges number theory, algebraic geometry, and mathematical physics, with a focus on arithmetic geometry and mirror symmetry, particularly in the modularity of Calabi-Yau threefolds. Yui earned her B.S. from Tsuda College (1966) and her Ph.D. in Mathematics from Rutgers University (1974), supervised by Richard Bumby. She has held visiting roles at the Max-Planck-Institute in Bonn and Newnham College, University of Cambridge. Her work includes collaborations with Fernando Q. Gouvêa, notably proving the modularity of rigid Calabi-Yau threefolds over Q. Her research areas span arithmetic geometry, number theory, algebraic/differential geometry, and particle physics theory. Key contributions include studies on L-functions, mirror symmetry, and the applications of Calabi-Yau manifolds in physics. Since 2007, she has served as managing editor of the journal Communications in Number Theory and Physics . Yui co-authored influential works such as Generic Polynomials: Constructive Aspects of the Inverse Galois Problem and edited volumes like Mirror Symmetry V . Her research emphasizes interdisciplinary connections between mathematics and theoretical physics, particularly in string theory contexts.

Yunfeng JiangView profile

Professor

• Algebraic Geometry
• Mathematical Physics
• Moduli Spaces
• +3 more

Yunfeng Jiang is a Professor of Mathematics at the University of Kansas, affiliated with the Department of Mathematics in the College of Liberal Arts & Sciences. His research focuses on algebraic geometry, with a particular emphasis on moduli spaces of stable maps, sheaves, and their enumerative invariants such as Gromov-Witten and Donaldson-Thomas invariants. His work intersects theoretical physics, including string theory and gauge theory, exploring connections between algebraic structures and physical theories. Recent research has addressed smoothing of surface singularities, equivariant geometry, and the interplay between birational geometry and enumerative invariants. He has contributed to the study of moduli spaces of general type surfaces, Vafa-Witten invariants, and S-duality conjectures on K3 surfaces. His work often involves advanced techniques like virtual fundamental classes and obstruction theories. Jiang has taught extensively at KU, including courses on linear algebra, calculus, algebraic topology, and specialized topics in algebraic geometry. His research is supported by the NSF (DMS-2401484) and has been disseminated through over 50 peer-reviewed publications in top journals like *Mathematische Annalen*, *Advances in Mathematics*, and *Pure and Applied Mathematics Quarterly*. His research trends emphasize geometric structures in higher dimensions, moduli problems, and applications to physics, with notable contributions to the quantum cohomology of moduli spaces and the study of root stacks in algebraic geometry.

• Algebraic Topology
• Moduli Spaces
• Homology Spheres
• +5 more

Søren Galatius is a Visiting Professor at the Department of Mathematical Sciences, University of Copenhagen. His research focuses on algebraic topology with an emphasis on moduli spaces, homology spheres, K-theory, and cobordism categories. He holds a PhD and has established himself as a leading figure in geometric topology and algebraic structures in mathematics. Recent research has explored topics such as general linear groups over finite fields, Pontryagin classes, and tropical geometry applications to moduli spaces. His work bridges pure algebraic topology with geometric and combinatorial methods, contributing foundational insights into modern mathematical frameworks. Key collaborations include projects with Oscar Randal-Williams and Martin Hairer, advancing understanding of cobordism categories and topological field theories. His articles consistently appear in top-tier journals like Annales Scientifiques de l'Ecole Normale Superieure and Inventiones Mathematicae . No scientific awards or grants are explicitly listed in the provided materials, though his publication record speaks to significant academic contributions. No advisee students are documented here.

Roberto PagariaView profile

Associate Professor

• Algebraic Topology
• Combinatorics
• Configuration Spaces
• +4 more

Roberto Pagaria is an Associate Professor in Algebraic Topology at the University of Bologna. He is a member of the EMS Young Academy and has supervised three PhD students. His research focuses on Abelian arrangements, configuration spaces, matroids, representation theory, spectral sequences, and quiver varieties. Education: PhD in Mathematics (2019), thesis: 'Cohomology and Combinatorics of Toric Arrangements', advised by Filippo Callegaro Master's thesis: 'Geometry of Quiver Varieties', advised by Andrea Maffei Bachelor's thesis: 'The Brauer Group of a Local Field', advised by Angelo Vistoli and Ilaria Del Corso Research Interests: Pagaria's work bridges algebraic topology, combinatorics, and geometry. He explores cohomological structures of toric arrangements, elliptic arrangements, and configuration spaces. His studies include Hodge theory for polymatroids, combinatorial decomposition theorems, and applications of spectral sequences in representation theory. Academic Engagement: He co-organized the 2023 Summer School on 'Quiver Representations, Quiver Varieties, and Combinatorics' and delivered invited talks at leading institutions such as MIT, University of Strasbourg, and the Göran Gustafsson Symposium. His software tools like 'arithmat' (for arithmetic matroids) and 'Characteristic OT' enhance computational research in combinatorial algebraic geometry. Grants and Awards: While no specific grants are detailed, his active conference participation and software contributions highlight sustained academic engagement. His work has been published in top journals like the Journal of the London Mathematical Society and the International Mathematics Research Notices.

• Algebraic Geometry
• Schubert Calculus
• Fano Varieties
• +3 more

Jorge Raul Cordovez Manriquez serves as an External Lecturer and Teaching Assistant at the Department of Mathematical Sciences 'GL Lagrange' (DISMA) at Polytechnic University of Turin. He holds invited membership in both the College of Biomedical Engineering and College of Chemical and Materials Engineering. His primary teaching responsibilities span multiple engineering programs including Aerospace Engineering, Computer Science Engineering, and Management Engineering, as well as Architecture programs. His research focuses on advanced topics in algebraic geometry, particularly Schubert calculus, Fano varieties, and complete intersections. His work explores combinatorial structures in algebraic varieties, geometric configurations of lines and conics, and binomial formulas in intersection theory. The mathematical techniques developed in his publications have applications in enumerative geometry and theoretical physics. Over the past decade, Cordovez Manriquez has maintained consistent publication activity in specialized mathematics journals, with his most recent work (2009) extending binomial formulas to Schubert calculus contexts. His research demonstrates deep connections between combinatorial algebra and geometric structures in projective spaces. As an educator, he has taught foundational mathematics courses including Mathematical Analysis I, Linear Algebra and Geometry, and Mathematical Principles across multiple academic years (2019/20-2025/26). His teaching portfolio shows particular emphasis on engineering mathematics for Aerospace Engineering programs, where he has served as both Course Lecturer and Course Collaborator for core mathematical subjects.

• symplectic geometry
• algebraic geometry
• Lie theory
• +4 more

Chris Woodward is a Distinguished Professor and Chair of the Department of Mathematics at Rutgers University (New Brunswick). He maintains an active research program in symplectic and algebraic geometry, Lie theory, gauge theory, and mathematical physics. Woodward serves as an associate editor for Selecta Mathematica and organizes the Rutgers symplectic seminar, which focuses on current developments in symplectic geometry. Woodward's research primarily centers on symplectic geometry with particular emphasis on Floer theory, mirror symmetry, and connections to mathematical physics. His work bridges geometric analysis with algebraic structures, exploring deep connections between symplectic topology and quantum field theory. He has made significant contributions to understanding the mathematical structures underlying string theory through rigorous geometric frameworks, with recent work focusing on immersed Lagrangians, tropical geometry applications, and quantum cohomology. Analysis of Woodward's recent publications reveals a cohesive research trajectory with increasing sophistication in handling complex geometric structures. His work consistently explores the connections between symplectic geometry, algebraic geometry, and mathematical physics, demonstrating how techniques from one field can solve problems in another. Recent papers show particular innovation in extending Floer theory to immersed settings and developing connections between tropical geometry and symplectic topology. Woodward has advised numerous graduate students who have secured positions at Stanford University, Pennsylvania State University, Yale University, and Columbia University His undergraduate research mentorship program has produced students who continued to top graduate programs He has mentored junior faculty members including Matt Leingang (now at NYU), Eduardo Gonzalez (now at University of Massachusetts Boston), and Yuhan Sun (now at Imperial College) Woodward leads the Rutgers symplectic geometry research group and has organized significant workshops including the Recent Developments in Lagrangian Floer theory workshop at the Simons Center for Geometry and Physics (held in March 2022 after pandemic delay) and is co-organizing a workshop at Harvard's CMSA in Fall 2026 with Denis Auroux and Jonny Evans. His research group maintains strong connections with international symplectic geometry communities.

Don ZagierView profile

Professor

• Number Theory
• Algebraic Geometry
• Modular Forms
• +3 more

Don Zagier is a distinguished mathematician holding positions as Scientific Member and former Director at the Max Planck Institute for Mathematics in Bonn. He has been a Professor at the University of Bonn, University of Maryland, Kyushu University, University of Utrecht, and Collège de France. His work bridges number theory, algebraic geometry, topology, and mathematical physics. Born in 1951, he studied at MIT (1966–1968), earned a D.Phil. from Oxford (1971), and completed his habilitation at Bonn (1975). He has held roles in the Sonderforschungsbereich (SFB) Theoretische Mathematik, served as ICTP Distinguished Staff Associate since 2014, and is an Honorary Member of the London Mathematical Society (2019). Research interests include modular forms, zeta functions, quantum invariants, and algebraic geometry. Notable works include studies on the Birch-Swinnerton-Dyer conjecture, polylogarithms, and the theory of Jacobi forms. His contributions span over 200 publications, including foundational texts like Zetafunktionen und quadratische Körper (1981) and co-edited volumes on modular forms. His awards include the Carus Prize (1984), Frank Nelson Cole Prize (1987), and Karl Georg Christian von Staudt Prize (2001). Research trends in his articles focus on modular forms, knot theory, quantum topology, and the interplay between number theory and geometry. Grants and collaborations are extensive, though specifics remain unspecified. He leads research at the MPI and contributes to global mathematical communities through educational initiatives and editorial roles in journals like Communications in Number Theory and Physics .

Sema SalurView profile

Professor

• Differential Geometry
• Geometric Analysis
• Mathematical Physics
• +3 more

Sema Salur is a Full Professor of Mathematics at the University of Rochester since 2016, previously serving as Associate Professor (2009–2016) within the Department of Mathematics at the School of Arts and Sciences. She holds a PhD from Michigan State University (2000) and has held visiting positions at Princeton University (2013, 2019), Harvard University (2016), MSRI (2004–2007, 2016), and Cornell University (2015 as Ruth I. Michler Fellow). Her research focuses on differential geometry, geometric analysis, and mathematical physics, particularly exploring manifolds with special holonomy (e.g., G₂, Spin(7)), calibrated geometries, and applications in mirror symmetry and M-theory. Salur’s work includes studies on contact structures on G₂-manifolds, deformations of special Lagrangian submanifolds, and geometric flows. Her publications often intersect with theoretical physics, such as exploring dualities in string theory. She teaches courses like Multidimensional Calculus (MTH 164) and Special Topics in Differential Geometry (MTH 557). Awards include the prestigious Ruth I. Michler Fellowship (2015). Her research collaborations involve scholars like Hyunjoo Cho, Albert J. Todd, and Osvaldo Santillan. While no lab affiliations are explicitly stated, her work emphasizes interdisciplinary connections between pure mathematics and high-energy physics.