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Colin IngallsView profile

Professor

• Noncommutative Algebra
• Algebraic Geometry

Colin Ingalls is a Full Professor in the School of Mathematics and Statistics at Carleton University. His research focuses on Noncommutative Algebra and Algebraic Geometry, with contributions to areas such as noncommutative resolutions, quiver representations, and birational geometry. He has advised numerous graduate students, including Master’s and PhD candidates, whose theses cover topics like Hochschild cohomology, McKay quivers, and Brauer pairs. Ingalls has an extensive publication record, with recent work exploring reflection groups, discriminant loci, and derived categories of algebraic structures. His research interests span the intersection of algebra and geometry, emphasizing noncommutative methods to address classical geometric problems. He maintains active collaborations, evidenced by co-authored papers on topics such as minimal model programs for orders and applications of Koszul duality. Ingalls’ work bridges abstract algebraic theory with geometric constructions, contributing to foundational advancements in these fields.

Georg HeinView profile

Professor

• Algebraic Geometry
• Vector Bundles
• Moduli Spaces
• +2 more

Prof. Dr. Georg Hein is a Professor in the Department of Mathematics at the University of Duisburg-Essen, Campus Essen. His office is located at WSC-O-3.58, Thea-Leymann-Str. 9, 45117 Essen, with office hours held every Tuesday from 2-3 PM and by appointment. He serves as Director of the Research Group Hein, focusing on Algebraic Geometry. His research centers on Algebraic Geometry with specific expertise in vector bundles, moduli spaces, elliptic surfaces, and sheaf theory. Hein's work demonstrates deep engagement with stability conditions, Fourier-Mukai transforms, and geometric invariant theory. His publications reveal a consistent focus on foundational structures in algebraic geometry, particularly through the lens of vector bundles on curves and surfaces. Analysis of his 15 most recent publications (2017-2007) shows a strong thematic continuity in moduli space theory and vector bundle classification. His work bridges abstract algebraic constructions with computational approaches, as evidenced by algorithmic developments for elliptic surfaces and lattice-theoretic investigations. The publications collectively emphasize stability criteria across diverse geometric contexts. Hein actively supervises PhD students including Asbjørn Michelsen, with former advisees Quyet Thang Truong and Dr. Dario Weißmann. He contributes to academic outreach through the Essen Math Circle for students, organizing weekly sessions for grades 5-13 covering advanced mathematical topics beyond standard curricula. His teaching portfolio includes courses such as Mathematische Miniaturen and Topologie .

• Algebraic Topology
• Mathematical Physics
• Differential Geometry
• +3 more

Dr. Daniel Grady is an Assistant Professor at Wichita State University. His research focuses on algebraic topology, mathematical physics, and differential geometry, with a particular emphasis on advanced topics such as K-theory, cobordism, and topological field theories. He explores the interplay between differential cohomology and geometric structures in theoretical physics, including applications to M-theory and string compactifications. His work often involves sophisticated tools like spectral sequences, stacks, and equivariant constructions, reflecting a deep engagement with both pure and applied aspects of topology. Notable contributions include studies on the Freed–Hopkins conjecture, geometric cobordism hypotheses, and twisted differential cohomology theories. Grady’s research bridges abstract algebraic frameworks with concrete geometric and physical models, advancing foundational understanding in modern theoretical mathematics.

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

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.

Eckhard MeinrenkenView profile

Professor

• Symplectic Geometry
• Mathematical Physics
• Lie Theory
• +1 more

Eckhard Meinrenken is a Professor in the Department of Mathematics at the University of Toronto , specializing in Symplectic Geometry , Mathematical Physics , Lie Theory , and Differential Geometry . His research spans geometric structures in infinite-dimensional settings, including Hamiltonian loop group spaces, Dirac geometry, and applications of equivariant cohomology. Fellow of the Royal Society of Canada (FRSC) Author of influential monographs such as Clifford Algebras and Lie Theory (Springer, 2013) and Manifolds, Vector Fields and Differential Forms (Springer, 2023) Research Trends: Recent work focuses on moduli spaces, singular weightings, Manin pairs, and Verlinde formulas, bridging symplectic geometry with algebraic and topological invariants. His publications emphasize geometric quantization, Poisson structures, and infinite-dimensional Lie theory. Scientific Awards: Fellow of the Royal Society of Canada (FRSC) Collaborations: Frequent collaborations with researchers like Anton Alekseev, Yiannis Loizides, and David Li-Bland on problems in symplectic topology, loop groups, and Dirac geometry.

• Algebraic Geometry
• Homotopy Theory
• Cohomology Theories
• +5 more

Ryomei Iwasa is an Associate Professor at the Department of Mathematical Sciences , University of Copenhagen. His research focuses on advancing motivic homotopy theory, particularly extending Voevodsky's framework to address non-A1-homotopy invariant phenomena. He has made significant contributions to algebraic K-theory, étale cohomology, and related fields through his work on derived correspondences and motivic spectra. University: University of Copenhagen Department: Department of Mathematical Sciences Academic Rank: Associate Professor Iwasa's research aims to unify cohomology theories in algebraic geometry, such as crystalline cohomology and syntomic cohomology, within a novel motivic spectra category (MSp). His work establishes equivalences between Grassmannians and vector bundles and provides new characterizations of algebraic K-theory. Recent publications highlight his applications of motivic homotopy theory to Milnor excision, cdh descent, and deformation theory. These papers also explore connections to Beilinson's conjecture and Weibel's conjecture via derived blow-ups. Notable awards include the Marie Skłodowska-Curie Grant (Horizon 2020, Grant Agreement No. 896517), supporting his research into foundational motivic homotopy theory. Email: ryomei@math.ku.dk Office: Universitetsparken 5, 2100 Copenhagen Ø

Daniel Halpern-LeistnerView profile

Associate Professor

• Algebraic Geometry
• Homological Algebra
• Mathematical Physics
• +3 more

Dr. Daniel Halpern-Leistner is an Associate Professor of Mathematics at Cornell University, affiliated with the College of Arts and Sciences. His work focuses on algebraic geometry, homological algebra, and mathematical physics. He holds a Ph.D. from the University of California, Berkeley (2013). His research extends geometric invariant theory through projects like 'beyond geometric invariant theory,' addressing moduli problems using derived algebraic geometry and stacks. Notable awards include the 2022 Sloan Fellowship and an endowed professorship. Education: Ph.D. in Mathematics, UC Berkeley (2013) Research interests emphasize moduli spaces, derived categories, and stability conditions. He explores applications to D-equivalence conjectures and Verlinde formulas. Recent work includes studies on equivariant derived categories, affine Grassmannians, and noncommutative minimal model programs. Teaches advanced courses like MATH 6670: Algebraic Geometry and MATH 7670: Topics in Algebraic Geometry . Active in NSF-funded projects, including the 'CAREER: Moduli Spaces and Derived Categories' grant. His scholarship bridges classical geometry with modern algebraic and categorical frameworks.

Jochen HeinlothView profile

Professor

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

Prof. Dr. Jochen Heinloth is a full Professor at the Faculty of Mathematics, University of Duisburg-Essen, where he leads a research group focused on algebraic geometry, moduli spaces, and algebraic stacks. He is actively involved in teaching, research, and seminar supervision, with a strong presence in both national and international mathematical communities. His research interests include Algebraic Geometry , Moduli Spaces , Algebraic Stacks , Higgs Bundles , and the Geometric Langlands Program . His work bridges abstract category-theoretic constructions with concrete geometric problems, particularly in the context of bundles and representations on algebraic curves. The most recent publications reflect a deep engagement with moduli theory, stability conditions, and geometric representation theory. Trends include the study of the P=W conjecture, support theorems for Hitchin fibrations, and structural results on algebraic stacks. His collaborations with leading mathematicians such as J. Alper, O. García-Prada, and Ngo Bao Chau highlight his central role in modern algebraic geometry. No scientific awards are mentioned in the provided text. Prof. Heinloth advises PhD students and junior researchers, as evidenced by his long-running Seminar on Stacks , where participants present advanced topics in algebraic geometry. He has supervised talks by X. Zhang, M. Zhou, and others, indicating active mentorship. While no grants are explicitly mentioned, his sustained research output and collaborations suggest ongoing funding support. He teaches a wide range of courses, from undergraduate algebra and analysis to advanced topics like Algebraic Geometry and Stacks. He leads the Research Group Heinloth , which organizes seminars and fosters collaboration on stacks, moduli, and related fields. The group hosts regular PhD-level seminars, often in collaboration with other researchers, and maintains a focus on both foundational and cutting-edge topics in algebraic geometry.

Yanki LekiliView profile

Professor

• Symplectic Topology
• Low Dimensional Topology
• Algebraic Geometry
• +3 more

Yankı Lekili is a Professor of Geometry at the Department of Mathematics, Imperial College London, affiliated with the Faculty of Natural Sciences. His research focuses on symplectic topology, low-dimensional topology, and their connections to algebraic geometry and geometric representation theory. He explores topics including mirror symmetry conjectures, Fukaya categories, and homological mirror symmetry for various geometric structures. Education: PhD in Mathematics from MIT (2009), specializing in broken Lefschetz fibrations and Heegaard-Floer homology. Teaching: Courses include Elliptic Curves, Commutative Algebra, Algebraic Topology, and Representation Theory. Research Interests: Symplectic manifolds, Lagrangian submanifolds, derived equivalences, and categorical mirror symmetry applications. His work bridges symplectic geometry with algebraic geometry, particularly through mirror symmetry. Recent studies involve Fukaya categories of singularities, noncommutative crepant resolutions, and equivariant cohomology. He collaborates internationally, contributing to topics like the Fargues-Fontaine curve and Auslander algebras.

Younghan BaeView profile

Academic

• Algebraic Geometry
• Moduli Spaces
• Calabi-Yau Manifolds
• +4 more

Younghan Bae is a Donald J. Lewis Research Assistant Professor at the University of Michigan's Department of Mathematics. He holds visiting fellow status at the Korea Institute for Advanced Study (KIAS). His research focuses on moduli spaces in algebraic geometry, including Calabi-Yau 4-folds, intersection theory, and Picard stacks. Bae completed his Ph.D. at ETH Zurich (2023) under Rahul Pandharipande, with prior degrees from Columbia University (M.S., 2018) and Seoul National University (B.S., 2017). Research emphases include Donaldson-Thomas theory, Gromov-Witten theory, and the study of moduli spaces of sheaves. His work bridges geometric and arithmetic aspects of algebraic structures. Recent papers explore DT/PT0 correspondences in Calabi-Yau geometries and Abel-Jacobi theory on Picard stacks. Organizational contributions include co-organizing Geometry meet physics: Calabi-Yau fourfolds and beyond and Moduli spaces of algebraic surfaces in Ann Arbor . His expository work includes a chapter in the KIAS Springer Series on sheaf counting theories.

Rob SilversmithView profile

Lecturer

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

Rob Silversmith is a Warwick Zeeman Lecturer in the Warwick Mathematics Institute at the University of Warwick, with a focus on algebraic geometry and combinatorics. Starting Fall 2025, he will transition to an Assistant Professor role at Emory University. His academic journey includes a Ph.D. from the University of Michigan (2017), advised by Yongbin Ruan, and postdoctoral positions at Northeastern University and the Simons Center for Geometry and Physics. His research interests span algebraic geometry—particularly moduli spaces of curves, tropical geometry, and combinatorial structures—as well as connections to string theory, geometric rigidity, and dynamics. Key contributions include work on Gromov-Witten invariants, cross-ratio degrees, and the T-graph of Hilbert schemes. His recent publications (2021–2025) explore topics such as moduli spaces, tropical geometry, and combinatorial algebraic geometry, reflecting a blend of geometric and computational methods. Notable collaborations include work with R. Cavalieri, T. Kelly, and R. Ramadas on projects like Genus-zero r-spin theory and Equations at infinity for critical-orbit-relation families of rational maps . Rob has advised no listed graduate students but has contributed to interdisciplinary projects involving computer-aided conjecture-making. His scholarly activities include organizing seminars and maintaining an active presence in geometric research communities. He is affiliated with the Warwick Mathematics Institute and holds a position in the Zeeman Building. His work frequently intersects with combinatorial and computational approaches to algebraic geometry, emphasizing explicit polynomial constructions and data-driven conjectures.

Jesse WolfsonView profile

Associate Professor

• Geometry
• Topology
• Arithmetic Topology
• +3 more

Jesse Wolfson is an Associate Professor and Vice-Chair for Inclusive Excellence in the Department of Mathematics at the University of California, Irvine. His research focuses on the interplay of arithmetic, geometry, and topology, with notable contributions to arithmetic topology, resolvent degree, and algebraic geometry. He co-directs the Southern California Geometry and Topology Center (SCGTC), an NSF Research Training Group (RTG) program actively recruiting graduate students in geometry and topology. He holds a PhD and has expertise spanning algebraic structures, homological algebra, and interdisciplinary applications such as fractals in music. His work bridges pure mathematics with educational outreach, including public lectures and collaborations with institutions like St. John’s College, Santa Fe. His email is wolfson@uci.edu , and he maintains an active research blog detailing his projects and collaborations. Wolfson’s research emphasizes foundational questions in mathematics, including Hilbert’s 13th problem and the epistemic role of proofs in AI. His recent talks and articles explore topics like prismatic cohomology, modular functions, and geometric gauge theories, reflecting his commitment to advancing both theoretical and applied mathematical frontiers.

• Algebraic Geometry
• Complex Geometry
• Non-Archimedean Geometry
• +3 more

Yueqiao Wu is a J. J. Sylvester Assistant Professor in the Department of Mathematics at Johns Hopkins University. He previously served as a member at the Institute for Advanced Study (IAS) and completed his Ph.D. at the University of Michigan under the supervision of Mattias Jonsson. His research focuses on non-Archimedean geometry, particularly applications of Berkovich spaces to algebraic and complex geometry, including K-stability and geometric invariant theory. He co-organizes the Algebraic Geometry Seminar at JHU with Ziquan Zhuang. His work bridges areas like pluripotential theory, affine varieties, and Diophantine geometry, as seen in recent publications on K-stability connections to Vojta’s conjecture and boundedness of semistable sheaves. No scientific awards are explicitly noted, but his contributions span foundational and expository contributions to algebraic geometry. His advising and grants section is pending further information, though he actively contributes to collaborative projects like the Stacks Project Expository Collection. His office is located at Krieger 405.

Salim TayouView profile

Assistant Professor

• Number Theory
• Algebraic Geometry
• Arithmetic Geometry
• +8 more

Salim Tayou is an Assistant Professor in the Department of Mathematics at Dartmouth College. His research focuses on number theory, algebraic geometry, and their intersections, particularly in arithmetic geometry, complex geometry, and non-abelian Hodge theory. He explores topics like the Hodge locus, Tate locus, Shimura varieties, K3 surfaces, and abelian varieties, with applications to geometric problems and modularity properties. His work is supported by NSF grants (DMS-2503815, DMS-2302388) and the Burke Research Initiation Award. He has organized Harvard number theorists seminars on themes like non-abelian Hodge theory and o-minimality. Recent research includes studies on the Zilber-Pink conjecture, Shafarevich’s conjecture for hypersurfaces, and equidistribution of Hodge loci. Teaching: Recent courses include Current Problems in Algebra (Spring 2025), Number Theory (Fall 2024), and Algebraic Number Theory (Spring 2024). Earlier roles included teaching at École Normale Supérieure Ulm and Université Paris-Sud. Awards: Burke Research Initiation Award. Labs/Teams: Active in Dartmouth Algebra and Number Theory Seminar, Quebec-Vermont NT seminar, and Harvard NT seminar. Collaborates with researchers like Bruno Klingler, Philip Engel, and Matt Kerr.

• Arithmetic Geometry
• Galois Representations
• Moduli Spaces
• +2 more

Naoki Imai is an Associate Professor at the Graduate School of Mathematical Sciences, The University of Tokyo, specializing in Arithmetic Geometry, with a focus on Galois representations and moduli spaces. His research explores the intersection of number theory and algebraic geometry, particularly through applications to p-adic cohomology and Shimura varieties. Education: PhD in Mathematical Sciences, The University of Tokyo (2010) Master's in Mathematical Sciences, The University of Tokyo (2009) BSc in Mathematics, The University of Tokyo (2007) Research Interests: Galois representations Moduli spaces of arithmetic objects Geometrization of local Langlands correspondence Selected Awards: MSJ Takebe Katahiro Prize for Encouragement of Young Researchers (2011) Students: Katsuyuki Bando (2025) Joseph Muller (2023) Yuki Yamamoto (2022) Teppei Takamatsu (2022) His recent publications emphasize prismatic cohomology, moduli of p-divisible groups, and automorphic forms, with collaborations spanning institutions like Kyoto University, MIT, and UC Berkeley.