جست‌وجوی استاد و پژوهشگر

Ravi Vakilمشاهده پروفایل

استاد

• Algebraic Geometry
• Enumerative Geometry
• Moduli Spaces
• +۳ مورد دیگر

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.

Paul Neville Balisterمشاهده پروفایل

استاد

• Combinatorics
• Graph Theory
• Discrete Mathematics
• +۴ مورد دیگر

Professor Paul Neville Balister is a faculty member and Fellow in the Mathematical Institute at the University of Oxford, where he serves as a University Lecturer and Professor of Mathematics. His research is centered in combinatorics and discrete mathematics, with strong ties to probabilistic methods and theoretical computer science. His research interests include combinatorics, graph theory, random graphs, probabilistic combinatorics, cellular automata, and discrete probability. These areas are evident from his extensive publication record in top-tier mathematical journals such as the Journal of the European Mathematical Society and Random Structures and Algorithms . The recent publications demonstrate a consistent focus on structural and probabilistic aspects of discrete systems, particularly in monotone cellular automata, graph saturation games, and random graph orderings. His work often explores threshold phenomena, extremal configurations, and asymptotic behavior in combinatorial models. While no formal awards are listed in the provided text, his active collaboration with leading mathematicians and publication in premier venues indicate significant recognition in the field. Professor Balister advises students and contributes to research grants, though specific names and projects are not detailed. He is part of the Combinatorics research group at Oxford, which fosters collaborative work in discrete mathematics and its applications.

Navid Nabijouمشاهده پروفایل

مدرس

• Algebraic Geometry
• Moduli Spaces
• Gromov-Witten Theory
• +۳ مورد دیگر

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 Mellitمشاهده پروفایل

دانشیار

• Algebraic Geometry
• Enumerative Geometry
• Representation Theory
• +۴ مورد دیگر

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.

Lutz Warnkeمشاهده پروفایل

استاد

• Combinatorics
• Probability Theory
• Random Graphs
• +۵ مورد دیگر

Lutz Warnke is a Professor of Mathematics at the University of California, San Diego, with prior affiliations at Georgia Institute of Technology (where he received tenure in 2021) and Peterhouse, Cambridge University (Junior Research Fellow until 2016). His research focuses on probabilistic combinatorics, random graphs, phase transitions, and combinatorial probability, with applications to extremal combinatorics and Ramsey theory. Education : Ph.D. in Mathematics from the University of Oxford (2012), supervised by Oliver Riordan. Dr. Warnke's research explores the structure and evolution of random graphs and processes, including Achlioptas processes, Ramsey numbers, and extremal problems. His work often bridges probabilistic methods with algorithmic applications and theoretical computer science. His publications from 2022–2025 reveal trends in random graph isomorphisms, clique coloring thresholds, extremal subgraph counts, and hardness of online algorithms. Key subfields include percolation, phase transitions, and probabilistic methods applied to combinatorial structures. Scientific Awards : Dénes König Prize (2016), Alfred P. Sloan Research Fellowship (2018), NSF CAREER Award (2020), Richard Rado Prize (2014). Dr. Warnke actively supervises PhD students and postdocs, including Matthew Cho (PhD ongoing), Erlang Surya (PhD 2025), Emily Zhu (PhD 2025), and He Guo (PhD 2021). He has received teaching accolades at Georgia Tech and contributes to graduate courses in probabilistic combinatorics, random graph theory, and stochastic processes.

• Algebraic Topology
• Moduli Spaces
• Homology Spheres
• +۵ مورد دیگر

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 Pagariaمشاهده پروفایل

دانشیار

• Algebraic Topology
• Combinatorics
• Configuration Spaces
• +۴ مورد دیگر

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
• +۳ مورد دیگر

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.

Don Zagierمشاهده پروفایل

استاد

• Number Theory
• Algebraic Geometry
• Modular Forms
• +۳ مورد دیگر

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 .

Laura Colmenarejoمشاهده پروفایل

استادیار

• Algebraic combinatorics
• Symmetric functions
• Enumerative combinatorics
• +۴ مورد دیگر

Laura Colmenarejo is an Assistant Professor in the Department of Mathematics at NC State University, part of the College of Sciences. She holds a PhD from the University of Sevilla (2016), a Master’s from Universidad Autónoma de Madrid (2011), and a Bachelor’s in Mathematics (2010). Her research focuses on algebraic combinatorics, symmetric functions, enumerative combinatorics, and representation theory of finite groups. She has advised multiple graduate and undergraduate students and has held previous positions at UMass Amherst, the Max Planck Institute in Leipzig, and York University. Her work spans topics like quantum cohomology, chromatic symmetric functions, and combinatorial structures such as posets and permutations. She co-organizes the Algebra and Combinatorics seminar at NC State and contributes to conferences like Triangle Lectures in Combinatorics. Her research emphasizes interactions between algebraic geometry, representation theory, and discrete mathematics. Advising: Camryn Thompson, Alex Steward, Ian Klein, Spencer Daugherty (graduate students), and Felix Hutchins, Etienne Phillips, Viviene Do (undergraduate researchers). Grants and funding details not explicitly mentioned. Labs/Teams: Part of the Algebra and Combinatorics Faculty Research Group at NC State.

James Martinمشاهده پروفایل

مدرس

• Probability Theory
• Statistical Physics
• Random Graphs
• +۹ مورد دیگر

James Martin is a Lecturer at the Department of Statistics, University of Oxford . He is affiliated with St Hugh's College and has been actively involved in organizing probability seminars since 2018. Research Interests Probability theory Random graphs and percolation Interacting particle systems Models of random growth and coagulation-fragmentation Queueing networks Combinatorial games Teaching Courses: Prelims Probability , Part A Probability , Part B Statistical Lifetime Models , Part C Probabilistic Combinatorics His publications focus on probability theory , statistical physics , and combinatorial structures . Recent work includes studies on last-passage percolation, multispecies exclusion processes, and integrable probability models. James Martin collaborates with researchers from institutions such as Uppsala University, University of Cambridge, Imperial College London, and Kyoto University. He has been a key organizer for the Oxford Probability Seminar since 2018.

• Algebraic Geometry
• Moduli Spaces
• Birational Geometry
• +۳ مورد دیگر

Dori Bejleri is an Assistant Professor in the Department of Mathematics at the University of Maryland, College Park. Prior to this, he was a Benjamin Peirce and NSF postdoctoral fellow at Harvard University (2019–2023) and an NSF postdoctoral fellow at MIT (2018–2019). He earned his PhD in 2018 from Brown University under Dan Abramovich's supervision. His research focuses on algebraic geometry, particularly moduli spaces and birational geometry, with connections to number theory, enumerative geometry, combinatorics, and geometric representation theory. His work is supported by NSF grant DMS-2401483. He has organized several academic events, including the JHU-UMD Algebra and Number Theory Day (2024) and the Perspectives on Moduli in Algebraic Geometry conference (2025). Bejleri has taught graduate courses such as Rationality Questions in Algebraic Geometry (Spring 2022), Birational Geometry of Algebraic Varieties (Fall 2020), and Moduli Spaces in Algebraic Geometry (Fall 2019). His research spans topics like wall-crossing phenomena in moduli spaces, compactifications of elliptic surfaces, and motivic Hilbert zeta functions. He has also contributed to the study of stable log pairs and geometric representation theory. His teaching and research reflect a commitment to advancing foundational questions in algebraic geometry while engaging with interdisciplinary connections. His academic contributions include organizing seminars and mentoring students through advanced topics in geometry and topology.

• Algebraic Geometry
• Tropical Geometry
• Combinatorics
• +۳ مورد دیگر

Kris Shaw is a Professor in the Department of Mathematics at the University of Oslo, specializing in Algebra, Geometry and Topology. She leads the research group on Algebraic and Topological Cycles in Tropical and Complex Geometries, funded by the BFS. Shaw's research focuses on the connections between combinatorics and algebraic geometry over the real and complex numbers, with particular emphasis on tropical geometry, matroid theory, and real algebraic geometry. Her work bridges abstract mathematical theory with concrete geometric structures, exploring how combinatorial frameworks can illuminate complex geometric phenomena. She has made significant contributions to understanding the topology of real hypersurfaces, bitangents to plane quartics, and the birational geometry of matroids through tropical methods. Her publication record from 2013-2023 demonstrates consistent advancement in tropical geometry applications. Recent work shows increasing focus on real algebraic geometry problems through tropical lenses, with notable contributions to enumerative geometry, matroid structures, and topological properties of algebraic varieties. Shaw frequently collaborates with leading researchers including Hannah Markwig, Arthur Renaudineau, Johannes Rau, and Annette Werner. Prior to her position at the University of Oslo, Shaw held postdoctoral appointments at the Max Planck Institute Leipzig, Technical University of Berlin, and University of Toronto, as well as time at the Fields' Institute during a semester focused on Combinatorial Algebraic Geometry.

Konstantin Wernliمشاهده پروفایل

استادیار

• Quantum Field Theory
• Mathematical Physics
• Geometric Quantization
• +۳ مورد دیگر

Konstantin Wernli is an Assistant Professor in the Department of Mathematics and Computer Science at the University of Southern Denmark, affiliated with the Quantum Mathematics research group. His research focuses on quantum field theory, geometric quantization, and mathematical physics, with a particular emphasis on topological field theories and perturbative methods. He has contributed to foundational work in Chern-Simons theories, BV-BFV formalisms, and geometric analysis. His research interests include quantum field theories, algebraic geometry, and the intersection of topology with physics. Notably, he explores combinatorial approaches to quantum field theory, geometric quantization frameworks, and the application of advanced mathematical tools to solve problems in theoretical physics. Recent work includes studies on partition functions, constrained dynamical systems, and the globalization of sigma models. His articles often bridge abstract mathematics with physical applications, such as analyzing heat kernels, theta invariants, and entanglement polytopes. Wernli is a project participant in the Sapere Aude grant 'FROM PERTURBATIVE TO NON-PERTURBATIVE QUANTUM FIELD THEORY BY CUTTING AND GLUING' (2024–2028), which aims to advance non-perturbative QFT techniques. He has advised on research projects involving heat kernel analysis and geometric quantization, though no formal student advisees are listed.

Allen Knutsonمشاهده پروفایل

استاد

• Algebra
• Algebraic Geometry
• Algebraic Combinatorics
• +۳ مورد دیگر

Prof. Allen Knutson is a Professor of Mathematics at Cornell University, affiliated with the College of Arts and Sciences. He earned his Ph.D. from the Massachusetts Institute of Technology in 1996. His research focuses on algebraic geometry, algebraic combinatorics, and geometric representation theory, with an emphasis on Schubert calculus, quiver varieties, and the combinatorial structures underlying geometric problems. Education: Ph.D. (1996) from MIT. His work often involves degenerating complex algebraic varieties into simpler combinatorial pieces, bridging geometry and discrete mathematics. Notable contributions include foundational results in Schubert calculus, honeycomb models, and the use of puzzles in cohomology computations. Research Interests: Algebraic geometry, algebraic combinatorics, Schubert calculus, quiver varieties, geometric representation theory, and applications to integrable systems. His interdisciplinary approach integrates algebraic, geometric, and combinatorial methods to solve problems in mathematics and theoretical physics. Advising: Current students include Portia Anderson, Raj Gandhi, and others. Past advisees have contributed to areas like flag manifolds, Frobenius splitting, and Bruhat atlases. He has taught advanced courses on topics such as symplectic resolutions, differentiable manifolds, and algebraic geometry. Labs/Teams: Collaborates widely, with contributions to projects like the ICM 2022 paper on Schubert calculus and quiver varieties. His work often involves visual tools like puzzles and pipe dreams to encode geometric invariants.