جست‌وجوی استاد و پژوهشگر

• Algebraic Geometry
• Birational Geometry
• Singularity Theory
• +۳ مورد دیگر

Fernando Figueroa is a Boas Assistant Professor in the Department of Mathematics at Northwestern University, specializing in algebraic geometry with focus on birational geometry, singularity theory, and Calabi-Yau varieties. Education: Ph.D. in Mathematics from Princeton University under János Kollár and Joaquín Moraga Undergraduate and Master's degrees from Pontificia Universidad Católica under Giancarlo Urzúa His research investigates coregularity, fundamental groups of singularities, and boundedness phenomena in algebraic varieties. Key contributions include establishing optimal bounds for T-singularities in stable surfaces and advancing the minimal model program for Calabi-Yau and Fano varieties through collaborative work with leading researchers like Joaquín Moraga. Recent publications (2022-2024) reveal a concentrated research trajectory on coregularity applications, with significant output on log Calabi-Yau pairs, fundamental group structures in low-dimensional singularities, and complement theory for Fano varieties. His work consistently bridges theoretical frameworks with concrete geometric classifications.

• Vector Bundles
• Projective Varieties
• Moduli Spaces
• +۳ مورد دیگر

Juan Francisco Pons Llopis serves as an Associate Professor in the Department of Mathematical Sciences (DISMA) at the Polytechnic University of Turin, Italy, with primary responsibilities in teaching Aerospace Engineering and Mathematical Sciences programs. He contributes to academic governance as a member of the College of Biomedical Engineering and College of Civil and Building Engineering. His research centers on Vector Bundles , Projective Varieties , and Moduli Spaces within Algebraic Geometry, extending into Commutative and Non-commutative Algebra. As an active member of DISMA's Algebraic, Computational and Differential Geometry research group, he investigates geometric structures with connections to theoretical physics and computational methods. Analysis of his publication record reveals sustained focus on vector bundle classifications across algebraic varieties, particularly examining moduli spaces and their physical applications. His work bridges abstract algebraic techniques with geometric intuition, spanning foundational commutative algebra and advanced projective geometry. Scientific Awards: Extraordinary Doctorate Award, University of Barcelona (2012) Professor Pons Llopis maintains extensive teaching commitments including Linear Algebra and Geometry for Aerospace Engineering undergraduates since 2019/20, Problem Solving Laboratories, and advanced PhD instruction in Twistor Geometry. His pedagogical approach integrates theoretical rigor with practical problem-solving methodologies across multiple engineering disciplines. Within DISMA, he collaborates closely with the Algebraic Geometry research group, contributing to Italy's mathematical research infrastructure through publications in top-tier journals and participation in international collaborations focused on geometric structures and their algebraic representations.

• Representation Theory
• Algebraic Geometry
• Noncommutative Algebra
• +۳ مورد دیگر

Prof. Dr. William Crawley-Boevey is a faculty member at the Faculty of Mathematics, University of Bielefeld , holding the Alexander von Humboldt Professor chair. His research spans representation theory of quivers and finite-dimensional algebras, algebraic geometry, noncommutative algebra, and integral structures in mathematics. Key Projects: Subproject manager for SFB/TRR 358 (Integral Structures in Geometry and Representation Theory) in modules A6, C2, and C3. Teaching: Module responsibilities include Homological Algebra and Representation Theory at the Bielefeld Graduate School in Theoretical Sciences. Research Trends: His recent work focuses on quiver representations, persistence modules, preprojective algebras, and interactions between tame/wild classification problems in algebraic structures. He explores geometric and categorical frameworks for module decompositions and stability conditions. Scientific Awards: Alexander von Humboldt Professor (2025) DFG Collaborative Research Centre participation Contact: wcrawley@math.uni-bielefeld.de

• Mathematics
• Algebraic geometry

Nikolaos Tziolas serves as a Professor in the Department of Mathematics and Statistics within the School of Natural and Applied Sciences at the University of Cyprus, with his office located in THEE 01, room 061 on campus. His academic profile reflects a distinguished career in pure mathematics with international research collaborations. His educational foundation includes: PhD in Mathematics from the University of Utah (1999) BA in Mathematics from Aristotle University of Thessaloniki (1991) Specializing in Algebraic Geometry , Professor Tziolas investigates complex geometric structures with emphasis on surface classifications, singularity theory, and birational transformations. His research spans both characteristic zero and positive characteristic settings, addressing fundamental questions about automorphism groups, polarized varieties, and minimal model program contractions. This work bridges theoretical frameworks with concrete geometric constructions. Analysis of his publications (2004-2017) reveals consistent focus on advanced surface and threefold geometry, particularly examining deformation theory, singularities, and classification problems under varying algebraic conditions. The trajectory demonstrates progressive depth in handling non-standard geometric scenarios like positive characteristic and non-normal varieties. His scholarly recognition includes: Marie Curie Fellowships at University of Warwick (2000-2002) and University of Crete (2003-2004) JSPS Fellowship at University of Tokyo (2005) While specific student advisement details and grant histories aren't documented in available sources, his extensive visiting appointments at premier institutions indicate active mentorship and collaborative research leadership. No dedicated laboratory infrastructure is referenced, suggesting his work primarily involves theoretical development and international academic partnerships.

Caucher Birkarمشاهده پروفایل

استاد

• Algebraic geometry
• Birational geometry
• Minimal model program
• +۳ مورد دیگر

Caucher Birkar serves as Professor of Mathematics at the University of Cambridge since 2015, following roles as University Reader (2010-2015) and University Lecturer (2007-2010). A leading figure in algebraic geometry, his revolutionary work on the minimal model program earned him the 2018 Fields Medal, mathematics' highest honor. He maintains active research in the Department of Pure Mathematics and Mathematical Statistics (DPMMS) at Cambridge. His academic foundation includes: BSc from University of Teheran (2000) PhD from University of Nottingham (2004) under advisors I. Fesenko and V. Shokurov Birkar's research centers on birational geometry with profound contributions to Fano varieties, log canonical singularities, and the minimal model program. His landmark proof of boundedness for Fano varieties resolved fundamental conjectures, while his work extending minimal model theory to positive characteristic opened new research frontiers. He specializes in analyzing singularities through linear systems and log canonical thresholds, developing techniques that transformed classification theory for algebraic varieties. Recent publications (2016-2017) demonstrate his focus on Mori fibre spaces in positive characteristic, boundedness of Fano varieties, and anti-pluricanonical systems. These works exhibit consistent themes: establishing existence theorems for minimal models, solving boundedness problems through singularity analysis, and advancing the minimal model program beyond characteristic zero. His research shows increasing emphasis on effective methods and explicit bounds in classification problems. Major recognitions include: Fields Medal (2018) for contributions to birational geometry Royal Society Research Professorship (2019) AMS Moore Prize (2016) Leverhulme Prize (2010) Royal Society Fellowship (2019) Birkar advises doctoral students in algebraic geometry though specific names aren't documented in available sources. His Royal Society Research Professorship funds ongoing work on the minimal model program's extension to positive characteristic. While no formal lab structure is mentioned, he collaborates extensively through Cambridge's DPMMS research groups and international geometry networks. Current projects focus on effective Iitaka fibrations and boundedness of polarized pairs.

Stephen Coughlanمشاهده پروفایل

مدرس

• Algebraic Geometry
• Mathematics
• Geometry
• +۳ مورد دیگر

Dr Stephen Coughlan is a Lecturer in the Department of Mathematics & Computer Studies at Mary Immaculate College. He holds a PhD in Mathematics from the University of Warwick and a Priv.-Doz. (Senior Lecturer) qualification from Universität Bayreuth. His research focuses on algebraic geometry, particularly surfaces of general type, moduli spaces, and geometric constructions such as Fano varieties and K3 surfaces. Dr Coughlan's academic background includes a BSc, MSc, and PhD from the University of Warwick, followed by advanced research at the University of Bayreuth. His work emphasizes geometric structures, deformations, and fibrations in algebraic varieties. Recent publications explore topics like Gorenstein curves, T-divisors in moduli spaces, and cluster varieties. His research interests span codimension studies, algebraic surfaces, and geometric transitions, with contributions to understanding canonical 3-folds and smoothing singularities. He has collaborated internationally on projects involving moduli theory and arithmetic geometry. Though no specific grants or awards are listed, his extensive publication record reflects active engagement in algebraic geometry research. Dr Coughlan is affiliated with Mary Immaculate College's Mathematics & Computer Studies department and contributes to teaching and research in pure mathematics.

Alessandra Sartiمشاهده پروفایل

استاد

• Algebraic Geometry
• Complex Geometry
• Holomorphic Symplectic Manifolds
• +۷ مورد دیگر

Alessandra Sarti is a Professor and Deputy Scientific Director of INSMI at the University of Poitiers, affiliated with the Mathematics and Applications Laboratory (UMR 7348 of the CNRS). Her research focuses on complex algebraic geometry, particularly holomorphic symplectic manifolds, K3 surfaces, Enriques manifolds, and automorphisms. She earned her Laurea (DEA) from the University of Ferrara (1997), a PhD from the University of Erlangen (2001), and completed her Habilitation at the University of Mainz (2007). Her work explores geometric structures, symmetry properties, and classification problems in algebraic varieties, with applications to mirror symmetry and elliptic fibrations. Recent publications emphasize K3 surfaces, automorphism groups, and derived geometric invariants, reflecting collaborations across Europe and Asia. She actively advises PhD students and postdoctoral researchers, contributing to projects like the ANR Positivity on K-trivial Varieties (POKO) and ANR Symmetries and moduli spaces in algebraic geometry and physics (SMAGP).

• Algebraic Geometry
• Vector Bundles
• Moduli Spaces
• +۳ مورد دیگر

Yusuf Mustopa is a Lecturer in the Department of Mathematics at UMass Boston . He holds a PhD in Mathematics from Stony Brook University and specializes in Algebraic Geometry , with a focus on Vector Bundles , Moduli Spaces , and Algebraic Surfaces . His research explores geometric properties determined by cohomological and combinatorial structures, including Fujita numbers , Ulrich bundles , and Brill-Noether theory . Recent work investigates connections between positivity of divisors and topological invariants, as well as effective generation of sheaves on Calabi-Yau varieties. Publications highlight trends in Birational Geometry , Sheaf Cohomology , and Geometric Invariant Theory , with applications to classification problems in algebraic geometry. Notable contributions include studies on projective bundles , moduli of vector bundles , and divisor theory .

• Algebraic Geometry
• Arithmetic Geometry
• K3 Surfaces
• +۲ مورد دیگر

Dino Festi serves as an Associate Professor in the Department of Mathematics at the University of Naples Federico II since December 2024, specializing in the Algebraic Geometry research group. His academic focus lies at the intersection of pure mathematics and theoretical geometry within the university's scientific campus at Monte S.Angelo. His research investigates fundamental properties of algebraic surfaces with particular emphasis on K3 surfaces, exploring their arithmetic structures, geometric classifications, and moduli spaces. This work bridges number theory and complex geometry, contributing to broader understanding of surface singularities and birational transformations in higher-dimensional varieties. Festi actively engages with the global mathematics community through major international collaborations, including the Sympaan 2025 symposium in Poland, Pragmatic 2025 research school in Catania, and ICERM thematic semesters in Providence focused on computational aspects of K3 surfaces and Calabi-Yau threefolds. His participation in these cutting-edge initiatives demonstrates leadership in advancing geometric computation methodologies and mirror symmetry applications.

Kristin DeVlemingمشاهده پروفایل

استادیار

• Algebraic Geometry
• Moduli of Varieties
• K-Stability
• +۲ مورد دیگر

Kristin DeVleming is an Assistant Professor in the Department of Mathematics at UC San Diego. She specializes in algebraic geometry with focus areas including moduli of varieties, K-stability, and birational geometry. She received her Ph.D. from the University of Washington in 2018 and was previously an assistant professor at UMass Amherst from 2021-2024. Her research explores fundamental questions in algebraic geometry through advanced mathematical frameworks. Current work focuses on stability conditions in geometric structures and classification of singularities.

• Algebraic Geometry
• Number Theory
• Topology
• +۴ مورد دیگر

Fedor Bogomolov is a Silver Professor of Mathematics at the Department of Mathematics, New York University, affiliated with the College of Arts and Science and the Graduate School of Arts and Science. He holds a Ph.D. in Mathematics from the Steklov Institute of Mathematics (1974) and a Diploma in Mathematics from Moscow University (1970). His research focuses on algebraic geometry, number theory, topology, and complex geometry. Recent work includes studies on Galois groups of functional fields, birational properties of algebraic varieties, and symmetric differentials on surfaces. His contributions span theoretical frameworks and applications in symplectic manifolds, vector bundles, and elliptic curve torsion points. Bogomolov's publications reflect interdisciplinary engagement, including articles on holomorphic tensors, Lagrangian fibrations, and non-Kähler manifolds. His research often bridges algebraic and geometric structures, with recent trends emphasizing stability conditions, automorphism groups, and moduli spaces. He has co-authored works on topics ranging from birational geometry to memorial articles honoring peers like Yuri Manin and Viktor Kulikov. No awards or grants are explicitly mentioned in the provided text, but his extensive publication record highlights sustained academic contributions. He has advised no listed students, though his research may involve collaborative teams or graduate supervision not detailed here.

• Algebraic Geometry
• Moduli Spaces
• Birational Geometry
• +۴ مورد دیگر

Dori Bejleri is a tenure-track Assistant Professor at the University of Maryland, College Park's Department of Mathematics. He specializes in algebraic geometry, with a focus on moduli spaces, birational geometry, and their connections to number theory and representation theory. His research is supported by NSF grant DMS-2401483. Education: PhD in Mathematics from Brown University (2018), supervised by Dan Abramovich. Postdoctoral positions included the Benjamin Peirce and NSF fellowship at Harvard University (2019–2023), and an NSF postdoc at MIT (2018–2019). Research interests span moduli spaces of surfaces, birational geometry, enumerative geometry, and applications to combinatorics. His work includes studies on elliptic surfaces, Calabi-Yau pairs, and Hilbert zeta functions. Teaching includes advanced courses such as Rationality Questions in Algebraic Geometry (Spring 2022), Birational Geometry of Algebraic Varieties (Fall 2020), and Differential Geometry (Fall 2021). He has organized conferences like the JHU-UMD Algebra and Number Theory Day (2024) and contributed to seminars like the Harvard-MIT Algebraic Geometry Seminar. Labs/Teams: Active in the UMD Algebraic Geometry and Number Theory research groups. Collaborators include Kenny Ascher, Giovanni Inchiostro, and Matthew Satriano.

• Algebraic Geometry
• Birational Geometry

LI Zhan serves as an Associate Professor in the Department of Mathematics under the Faculty of Science at Southern University of Science and Technology (SUSTech) since 2024, following a tenure-track appointment as Assistant Professor from 2018-2024. His academic career includes prior positions as Assistant Professor at the Beijing International Center for Mathematical Research (2015-2018) and Postdoctoral Fellow at Johns Hopkins University (2014-2015). Education: Ph.D. in Mathematics, Rutgers University-New Brunswick (2009-2014) B.S. in Mathematics, Tianjin University (2005-2009) Specializing in Algebraic Geometry with focused expertise in Birational Geometry , his research explores fundamental structural properties of algebraic varieties through birational transformations. This field intersects with complex geometry, singularity theory, and classification problems in higher-dimensional spaces, contributing to theoretical frameworks in modern mathematics. No scientific awards or student advisement records are publicly documented in available institutional materials. His academic trajectory demonstrates a consistent research focus within pure mathematics, transitioning from postdoctoral training to independent faculty positions at leading mathematical research centers in China and the United States.

Trung Tuyen Truongمشاهده پروفایل

استاد

• Several Complex Variables
• Dynamical Systems
• Algebraic Geometry
• +۷ مورد دیگر

Trung Tuyen Truong is a Professor of Mathematics at the University of Oslo, Faculty of Mathematics and Natural Sciences, Department of Mathematics, since September 2023. Previously, he served as an Associate Professor at the same institution from September 2017 to September 2023. His academic journey includes a PhD from Indiana University (2006-2012) under Professor Eric Bedford, followed by postdoctoral positions at Syracuse University (2012-2014), Korea Institute for Advanced Study (2014-2015), and The University of Adelaide (2015-2017). His research spans several complex variables, dynamical systems, and related topics in algebraic geometry. He is particularly interested in applying dynamical systems theory and computational techniques to solve both theoretical and practical problems. His work includes developing optimization algorithms, exploring connections between Weil's Riemann hypothesis and dynamical systems, and investigating the Jacobian conjecture. Truong has made significant contributions to optimization methods, particularly developing Backtracking Gradient Descent and Backtracking New Q-Newton's method, which have applications in deep learning and solving complex mathematical problems. His research has been supported by various grants including a Seed grant from UiO Growth House for developing AI tools for mathematical education, membership in MSCA-Cofund-DP for ERC funding PhD positions, and as Principal Investigator for the Young Research Talents grant from the Research Council of Norway. Truong is actively involved in developing software tools to help students learn mathematics and optimization, as well as creating efficient computational tools. His NUV Optimization solvers have demonstrated superior performance compared to established tools like Matlab and IPOPT in certain optimization problems. He is collaborating with AI companies and medical doctors to use AI for diagnosing from lung data measurements. His publications demonstrate expertise across pure mathematics, computational methods, and interdisciplinary applications, with recent work focusing on dynamical systems approaches to number theory problems and practical optimization algorithms.

• affine algebraic geometry
• algebraic transformation groups
• complex algebraic geometry
• +۱ مورد دیگر

Lucy Moser-Jauslin is a Professor in the Department of Mathematics at the University of Burgundy, affiliated with the Institut de Mathématiques de Bourgogne (IMB) CNRS -- UMR 5584. She works within the Geometry, Algebra, Dynamics and Topology research team and holds a joint position as Teacher-Researcher. Her academic career spans decades with continuous contributions to algebraic geometry. Her research focuses on affine algebraic geometry, algebraic transformation groups, complex algebraic geometry, and polynomial automorphisms . Moser-Jauslin's work explores equivariant structures, real forms of complex varieties, and classification problems in affine geometry. She has developed significant results on group actions, embeddings of algebraic varieties, and the structure of automorphism groups. Analysis of her publication record reveals sustained contributions to Geometric Invariant Theory and Real Algebraic Geometry , with recurring themes in circle actions, Danielewski surfaces, and Koras-Russell threefolds. Her collaborative work spans international institutions, demonstrating strong engagement with the global mathematics community. She has supervised five doctoral students: G. Bousquet (2000), Ph. Bonnet (2000), P. M. Poloni (2008), C. Petitjean (2015), and B. Alhajjar (2015). Her teaching portfolio includes courses like L1-Math2B and M1-MEEF/PMG - Algèbre. Moser-Jauslin is actively involved with the Geometry, Algebra, Dynamics and Topology research group at IMB, contributing to both theoretical developments and collaborative projects in algebraic geometry. Her ongoing work continues to address fundamental questions in affine transformation groups and real structures on complex varieties.