Find Academic Supervisors

• Tropical Geometry
• Algebraic Geometry
• Combinatorics
• +3 more

Angelica Cueto is an Associate Professor in the Department of Mathematics at The Ohio State University, affiliated with the College of Arts and Sciences. Her research focuses on Tropical Geometry, Algebraic Geometry, Combinatorics, and Non-Archimedean Geometry. She explores topics such as moduli spaces, surface singularities, and degenerations of classical varieties, with a particular emphasis on tropical methods and their applications. Her work bridges algebraic geometry with combinatorial structures, addressing problems like the Milnor fiber conjecture, tropicalizations of curves, and faithful tropicalizations of Grassmannians. Recent publications (2023–2024) highlight advancements in splice-type surface singularities and real lifts of bitangents. She maintains a professional website detailing her research and collaborations. No scientific awards or grants are explicitly listed in the provided text. Her academic contributions are centered on foundational research in tropical and algebraic geometry, with a focus on geometric combinatorics and moduli theory.

Daniele FaenziView profile

Professor

• Algebraic Geometry
• Vector Bundles
• Moduli Spaces
• +5 more

Daniele Faenzi is a Professor and Deputy Director at the Institute of Mathematics of Burgundy (IMB) , University of Burgundy. He specializes in algebraic geometry, vector bundles, moduli spaces, and related areas. Leadership: Deputy Director of IMB, responsible for ANR Fano-HK (2021-2026), EUR SupToPhAG (2021-2025), and BRIDGES (2022-2026). Collaborations: GDR GAGC (France), CAPES-COFECUB (Brazil), and Sino-French projects. Research focuses on vector bundles, moduli spaces, Fano and Hyperkähler varieties, logarithmic sheaves, and Cohen-Macaulay modules. His work connects algebraic geometry with commutative algebra, topology, and geometric invariant theory. Students: Supervised 13 PhD/post-docs (2010–2026) including Vladimiro Benedetti, Alan Muniz, and Felipe Monteiro. Teaching: Courses in algebra, mathematics for general degrees, and financial mathematics. Activities: Organized workshops in France, China, Japan, Switzerland, and Brazil (2023–2025).

• Algebraic Geometry
• K3 Surfaces
• Elliptic Surfaces
• +6 more

Professor Matthias Schütt serves as Dean of the Faculty of Mathematics and Physics at Leibniz University Hannover and is a faculty member at the Institute of Algebraic Geometry. He also holds positions as Chairperson of the Admissions Board for Teacher Training Courses for Grammar Schools, and as a member of the Riemann Center for Geometry and Physics, Central Ethics Committee, and Senate. His administrative leadership complements his active research career in algebraic geometry. Professor Schütt's research focuses on algebraic surfaces, particularly K3 surfaces, Enriques surfaces, and elliptic surfaces, with significant contributions to understanding their arithmetic properties, automorphisms, and singularities across different characteristics. His work bridges pure algebraic geometry with number theory, exploring questions of moduli spaces, cohomological properties, and rational curves on these surfaces. Recent publications demonstrate his continued leadership in characterizing geometric structures in positive characteristic settings. Analysis of Professor Schütt's recent publications reveals a consistent focus on the geometry of K3 surfaces across various mathematical contexts. His work increasingly examines these surfaces in positive characteristic, with particular attention to divisor theory, automorphism groups, and rational curves. The research shows sophisticated connections between arithmetic properties and geometric structures, with applications to moduli theory and classification problems in algebraic geometry. As Dean of the Faculty of Mathematics and Physics, Professor Schütt oversees academic administration for one of Leibniz University's major faculties. His leadership extends to the Riemann Center for Geometry and Physics, where he collaborates with researchers across mathematical physics. His departmental role at the Institute of Algebraic Geometry positions him at the center of algebraic geometry research at the university, where he likely supervises graduate students and postdoctoral researchers despite no specific names being publicly listed.

Miles ReidView profile

Professor

• Algebraic geometry
• Mathematics
• 3-folds
• +3 more

Miles Reid is a Professor of Mathematics at the University of Warwick, where he has been a faculty member since October 1978. He began as a lecturer (1978-1989), became a reader (1989-1992), and has been a professor since 1992. His academic career also includes positions as a Research Fellow at Christ's College, Cambridge (1973-1978) and as a research student at DPMMS, Cambridge and IHES, Paris (1969-1972). Reid's research focuses on algebraic geometry, with particular interest in: Algebraic surfaces and 3-folds Fano varieties McKay correspondence Moduli spaces Birational geometry Classification of algebraic varieties His work has led to significant contributions in the field, particularly in the study of 3-folds and the McKay correspondence. Reid's research often involves the interplay between algebraic geometry, representation theory, and singularity theory, with publication trends showing consistent focus on classification problems and geometric structures across decades. Reid has received numerous prestigious awards including: 2002 FRS (Fellow of the Royal Society of London for the Improvement of Natural Knowledge) Invited speaker at Beijing ICM 2002 2006 LMS Senior Berwick Prize 2014 LMS Polya Prize 2023 Sylvester Medal Throughout his career, Reid has supervised 33 PhD students and currently advises one student, Jesus-David Fernandez-Caballero. He has held leadership roles including Director of Warwick Math Research Centre (2004-2014) and coordinator of multiple significant research projects such as the Warwick EPSRC Symposium on Algebraic Geometry and the Marie Curie research training site 3-fAG. His sabbatical visits to institutions worldwide including Moscow University, Tokyo University, Kyoto University, and the Korea Institute for Advanced Studies demonstrate his international collaboration and influence in the field of algebraic geometry.

• Algebraic Geometry
• Fano varieties
• Mori theory
• +5 more

Gianluca Occhetta is a Full Professor of Geometry at the Department of Mathematics, University of Trento. His expertise spans algebraic geometry, Fano varieties, Mori theory, projective geometry, and rational homogeneous manifolds. He has supervised numerous theses across undergraduate and graduate programs, focusing on geometric topics like Schubert varieties, Grassmannians, and birational transformations. Research interests include the classification of algebraic varieties, birational geometry, and the study of vector bundles on Fano manifolds. His work often intersects with Mori theory, exploring extremal rays, rational curves, and geometric realizations of birational maps. Notable contributions involve characterizing rational homogeneous spaces via group actions and analyzing morphisms between Grassmannians. Over 84 theses have been supervised or examined, reflecting his commitment to mentoring students in geometry and algebraic structures. His publications (over 50 since 2000) emphasize geometric invariant theory, Chow quotients, and the interplay between algebraic varieties and group actions. A PDF CV provides further details on his academic trajectory and contributions.

• Algebraic Geometry
• Birational Geometry
• Complex Geometry
• +3 more

Eleonora Anna Romano is a Researcher at the Department of Mathematics (DIMA) of the University of Genoa . She teaches Geometry and Linear Algebra courses for degree programs in Mechanical Engineering, Mathematics, and Mathematical Statistics and Computer Data Processing. Her research focuses on algebraic geometry, particularly in the study of Fano manifolds, C*-actions, and birational geometry. Her recent publications (all from 2022) explore topics such as the classification of Fano 4-folds with specific Lefschetz defects and Picard numbers, small modifications of Mori dream spaces, and manifold structures with multiple projective bundles. She can be contacted at eleonoraanna.romano@unige.it or romano@dima.unige.it to arrange office hours.

Kenji MatsukiView profile

Professor

• Algebraic Geometry
• Birational Geometry
• Minimal Model Program
• +3 more

Dr. Kenji Matsuki is a Professor of Mathematics at Purdue University's Department of Mathematics, located in West Lafayette, Indiana. His research expertise centers on algebraic geometry, with a focus on birational geometry, minimal model programs, and resolution of singularities. He is the author of the influential textbook Introduction to the Mori program (2002). His research contributions include foundational work on toroidalization, birational factorization, and the study of singularities in algebraic varieties. Matsuki has collaborated extensively with leading mathematicians such as Dan Abramovich, Sean Keel, and James McKernan, advancing topics like the log abundance theorem for threefolds and the termination of flops for 4-folds. His publications span over three decades, addressing core areas such as moduli spaces of vector bundles, Weyl group actions in birational transformations, and the application of the Mori program to higher-dimensional varieties. His work often bridges geometric and algebraic perspectives, contributing to both theoretical advancements and their implications in related fields like number theory and mathematical physics.

Karen SmithView profile

Professor

• Commutative Algebra
• Algebraic Geometry
• Prime Characteristic Methods
• +3 more

Karen Smith is the Department Chair and William Fulton Distinguished University Professor of Mathematics at the University of Michigan, affiliated with the College of Literature, Science and Arts. Her research focuses on commutative algebra and algebraic geometry, particularly prime characteristic methods, Frobenius map applications, and singularities in algebraic varieties. She earned a Ph.D. from the University of Michigan in 1993. Prior roles include Assistant Professor and Moore Instructor at MIT. She is a member of the National Academy of Sciences and American Academy of Arts and Sciences. Smith’s work explores connections between Frobenius splitting, F-singularities, and birational geometry. She has contributed to foundational theories on test ideals, multiplier ideals, and F-regularity. Active in academic leadership, she served as Associate Chair for Graduate Studies and chairs the Erdös Institute to support graduate students in non-academic careers. Her research is supported by grants like the NSF FRG and collaborations in positive/mixed characteristic algebraic geometry. Her recent publications emphasize extremal singularities, F-pure thresholds, and Frobenius techniques. Awards include recognition for her contributions to algebraic geometry and commutative algebra. She collaborates internationally, including with institutions in Finland.

Pelham WilsonView profile

Professor

• Algebraic Geometry
• Complex Algebraic Varieties
• Calabi-Yau Threefolds
• +5 more

Professor Pelham Wilson is a distinguished academic in the Department of Pure Mathematics and Mathematical Statistics at the University of Cambridge's Faculty of Mathematics. Holding the position of Professor of Algebraic Geometry, he maintains an active research program with recent publications extending to 2022. His office is located in Room C0.01, and he can be contacted via email at P.M.H.Wilson@dpmms.cam.ac.uk or by telephone at 01223 337985. Professor Wilson's personal homepage at https://www.dpmms.cam.ac.uk/~pmw1000 provides additional information about his research activities. Professor Wilson's research focuses on complex algebraic varieties with particular emphasis on Calabi-Yau threefolds, which he investigates from multiple geometric perspectives including algebraic, differential, and symplectic geometry. His work on Mirror Symmetry represents a significant contribution to the field, establishing connections between advanced mathematical structures and theoretical physics concepts, especially string theory. His research program consistently addresses fundamental questions about the topological, geometric, and arithmetic properties of these complex spaces, with implications for both pure mathematics and theoretical physics. Analysis of Professor Wilson's recent publication record reveals a sustained focus on Calabi-Yau geometry, with particular attention to their topological characteristics, curvature behavior, and classification systems. His work demonstrates progression from foundational studies on algebraic varieties to increasingly sophisticated examinations of Calabi-Yau structures and their physical applications. The consistent presence of Calabi-Yau threefolds as a central theme across decades of research highlights his enduring contribution to this specialized area of mathematics. While specific details about awards are not provided in the available documentation, Professor Wilson's extensive publication record in prestigious journals such as Inventiones Mathematicae, Journal of Differential Geometry, and Mathematical Proceedings of the Cambridge Philosophical Society indicates significant scholarly recognition. His collaborative work, including the 2009 publication 'Dirichlet branes and mirror symmetry' with multiple co-authors, demonstrates his engagement with interdisciplinary research at the mathematics-physics interface.

Susanna ZimmermannView profile

Professor

• Birational Geometry
• Cremona Groups
• Algebraic Groups
• +3 more

Susanna Zimmermann is a Professor at the Department of Mathematics and Informatics, Universität Basel, with a detachment at the Institut de Mathématiques d'Orsay, University of Paris-Saclay. Her research focuses on birational geometry, Cremona groups, and real algebraic geometry. She holds editorial roles at EpiGA and Gazette , and has received prestigious awards including the 2024 ICBS Frontiers of Science Award and the 2020 CNRS Bronze Medal. She actively organizes conferences and workshops, including the annual Lectures Sophie Kowalevski and events under the ERC Saphidir project. Her teaching includes geometry courses at the University of Basel. Zimmermann is also an ambassador for science outreach initiatives like the Maison Poincaré and Fête de la Science. Research interests encompass birational geometry, Cremona groups, algebraic groups, and real algebraic geometry. Her work explores normal subgroups, group structures, real forms of algebraic varieties, and applications in birational complexity. Recent projects include studies on Mori fiber spaces and K-stability in Fano varieties. She collaborates internationally, leading research groups and mentoring postdocs like Eduardo Alves da Silva and Pascal Fong. Publications highlight contributions to Cremona group topology, decomposition of birational maps, and geometric group theory. Her work bridges algebraic geometry with topology, number theory, and applications in mathematical outreach. Zimmermann’s ERC-funded research explores connections between birational geometry and real Fano varieties, supported by Swiss and French institutions.

Meral TosunView profile

Professor

• Singularities in Algebraic Geometry
• Resolution of Singularities
• Topology of Singularities
• +4 more

Meral Tosun is a Professor in the Department of Mathematics at Galatasaray University, Istanbul, Turkey. She holds a DEA in Mathematics from Université Paris VII (1994) and a Ph.D. in Mathematics from Université d'Aix-Marseille I (1998), advised by Prof. Lê Dũng Trang. Her research focuses on singularities in algebraic geometry, including resolution and deformations of singularities, topology of singularities, classification of singularities, Lie algebras related to surface singularities, toric geometry, and tropical geometry. Education: DEA in Mathematics, Université Paris VII, Paris, France (1994) Ph.D. in Mathematics, Université d'Aix-Marseille I, Marseille, France (1998) Research Interests: Her work explores the interplay between algebraic geometry and singularity theory, with emphasis on resolution algorithms, topological properties of singularities, and their connections to Lie algebras and toric geometry. Notable contributions include studies on rational triple points, non-isolated singularities, and applications of toric methods in surface singularities. Recent Research Trends: Recent articles highlight advancements in minimal embedded resolution techniques (e.g., toric methods for rational triple points), exploration of Lojasiewicz exponents in surfaces, and the role of Lie algebras in singularity classification. She has also contributed to geometric invariant theory and quantum key distribution in turbulence channels. Awards & Grants: No specific awards listed, but her extensive postdoctoral fellowships (ICTP, UNAM) and supervisory roles indicate sustained academic recognition. She has advised 9 graduate students and mentored 6 post-doctoral researchers at institutions including Galatasaray University and Gebze Technical University. Labs & Collaborations: Active in organizing workshops and schools at Galatasaray University, contributing to Turkish mathematical communities like the Nesin Mathematics Village and Istanbul Mathematical Sciences Center (IMBM).

Valery AlexeevView profile

Professor

• Algebraic Geometry
• Birational Geometry
• Moduli Spaces
• +7 more

Valery Alexeev is the David C. Barrow Professor of Mathematics at the University of Georgia, affiliated with the Franklin College of Arts and Sciences. His research focuses on algebraic geometry, particularly degenerations and compact moduli spaces of algebraic varieties, including K3 surfaces, abelian varieties, and singularities arising in the Minimal Model Program. He has organized numerous conferences, including the 2007 'Curves and Abelian Varieties' conference and the 2010 'Compact Moduli and Vector Bundles' conference. His educational background and early career are not detailed in the provided texts, but his extensive contributions include foundational work on moduli spaces of stable pairs, toric degenerations, and the classification of log del Pezzo surfaces. He has advised 12 PhD students, including notable researchers such as Adrian Brunyate and Luca Schaffler. Research interests span birational geometry, toric and spherical varieties, and derived categories. His work often intersects with arithmetic geometry and combinatorics, exemplified by studies on reflective hyperbolic lattices and Z-emms in genus calculations. Key collaborations include projects with Philip Engel, Gavril Farkas, and Rita Pardini, resulting in seminal publications on K3 surfaces, moduli spaces, and abelian varieties. He contributed to the development of KSBA (Kollár-Shepherd-Barron-Alexeev) stable pairs theory and their compactifications. Teaching and mentorship have been central to his career, with active involvement in supervising graduate students and postdocs. He co-organized the 2023 Georgia Algebraic Geometry Symposium and remains active in the global algebraic geometry community.

Massimiliano MellaView profile

Professor

• Algebraic Geometry
• Birational Geometry
• Projective Varieties
• +3 more

Massimiliano Mella is a Full Professor at the University of Ferrara's Department of Mathematics and Computer Science. His research focuses on Algebraic Geometry, with particular emphasis on birational geometry, projective varieties, and Cremona groups. He has published extensively on topics such as identifiability of projective varieties, minimal Cremona degrees, and the geometry of quartic surfaces. Recent work includes studies on edge volume, tangential weak defectiveness, and geometric conjectures like Bronowski’s. His teaching includes courses such as Geometry and Algebra for Mechanical Engineering and Geometry II for Mathematics students, both taught in Italian. Notable publications include contributions to Duke Mathematical Journal, Journal of the European Mathematical Society, and Transactions of the American Mathematical Society. Mella collaborates with leading researchers in the field, including Ivan Cheltsov, Alex Massarenti, and Giorgio Ottaviani.

Jørgen Vold RennemoView profile

Professor

• Algebraic Geometry
• Enumerative Geometry
• Derived Categories of Coherent Sheaves
• +5 more

Jørgen Vold Rennemo is a Professor in the Department of Mathematics at the University of Oslo, specializing in algebraic geometry with a focus on enumerative geometry and derived categories of coherent sheaves. His research explores Fano varieties, Hilbert schemes, and homological projective duality. He holds an office at Moltke Moes vei 35 (Room 1112) and can be reached via email at jorgeren@math.uio.no . His research interests center on advanced algebraic structures, particularly the interplay between derived categories, birational geometry, and enumerative problems. Notably, he has contributed to resolving conjectures in Donaldson-Thomas theory and Fano variety classifications, as well as categorical Torelli theorems. Recent work includes studies on cohomology torsion in Fano varieties and reconstruction methods for sheaves on Hilbert schemes. His publications span leading journals like Inventiones Mathematicae , Compositio Mathematica , and Journal für die Reine und Angewandte Mathematik , reflecting a strong emphasis on foundational geometric problems and their categorical interpretations. Though no specific awards are listed, his work demonstrates significant contributions to modern algebraic geometry. Rennemo’s advising and grant activities are not explicitly detailed in the provided texts. His research group is affiliated with the Algebra and Algebraic Geometry group at the University of Oslo.

Anna SchenfischView profile

Research Fellow

• Algebraic Topology
• Computational Geometry
• Topological Data Analysis
• +3 more

Anna Schenfisch is a Research Fellow in the Faculty of Mathematics and Computer Science at Eindhoven University of Technology (TU/e), working within the Applied Geometric Algorithms research group. Her primary affiliation is with the university's mathematics department, and she can be contacted at a.k.schenfisch@tue.nl. Her research focuses on the intersection of algebraic topology and computational geometry, with significant contributions to topological data analysis. Her core research interests center on K-theory applications to persistence modules, simplicial complex reconstruction, and topological descriptors. She investigates how algebraic structures like monoids and parameter spaces interact with geometric representations, particularly through zig-zag persistence frameworks. Her work on faithful sets of verbose persistence diagrams addresses fundamental questions about minimality and optimality in topological data representations. Current projects involve developing theoretical frameworks for multiparameter persistence modules and their computational implementations. Analysis of her 15 most recent publications (2022-2025) reveals a strong trajectory in applying algebraic topology to computational problems. Her research demonstrates increasing sophistication in bridging abstract K-theory with practical geometric algorithms, particularly in simplicial complex reconstruction and descriptor optimization. The work consistently targets foundational questions in topological data analysis while developing novel computational approaches. Scientific Awards: No specific awards, fellowships, or medals are mentioned in the provided sources. Advising and Grants: Anna has supervised at least one academic work as indicated by "Supervised Work (1)" in her institutional profile. The nature of this supervision (e.g., thesis advising) isn't specified. No grant funding sources are explicitly referenced in the available materials. Labs and Teams: She is an active member of the Applied Geometric Algorithms research group at TU/e, which focuses on computational topology and geometric data analysis. This group serves as her primary research environment for developing algorithms related to persistence modules and topological descriptors.