Max Planck Institute for Mathematics in the SciencesGermany
Jinhyung Park is an Associate Professor in the Department of Mathematical Sciences at KAIST, Daejeon, Korea. He obtained his Ph.D. from KAIST in 2014 under Prof. Sijong Kwak and was mentored as a CMC Fellow at KIAS (2014–2019). His research focuses on Algebraic Geometry , particularly syzygies of algebraic varieties , secant varieties , and positivity of line bundles . Education: Ph.D., KAIST (2014); MS/BS, KAIST and University of Chicago (2002/2001). Research Interests: His work explores geometric properties of projective manifolds, singularities in algebraic geometry, and applications of Okounkov bodies to divisors and syzygies. Recent trends include Castelnuovo-Mumford regularity bounds (e.g., for threefolds with rational singularities) and subadditivity of Okounkov bodies in fiber spaces. Teaching: Courses include Matrix Groups, Algebraic Geometry, and Calculus. He previously taught at Sogang University and Purdue University. Professional Affiliations: Member of the Korean Mathematical Society, American Mathematical Society, and other international societies. Organized the 8th East Asia Number Theory Conference at KAIST (2019).
Luca Chiantini is a Full Professor at the University of Siena's Department of Information Engineering and Mathematical Sciences. Born in Siena in 1957, he earned his Mathematics degree from the University of Siena in 1979 and held academic positions at the Polytechnic of Turin, University of Naples, University of Rome 'La Sapienza', and others before joining the University of Siena in 1995. His research focuses on Algebraic Geometry, Commutative Algebra, and applications in Tensor Analysis and Multilinear Algebra. Chiantini's work explores projective varieties, secant varieties, Waring decompositions, and geometric complexity theory. He has authored over 100 publications, including studies on interpolation in higher codimension, Geproci sets, and Terracini loci. Education: Degree in Mathematics from the University of Siena (1979), followed by CNR grants and a Brandeis University fellowship (1982-1983). Academic roles include Department Director (2006-2012) and Dean of the Academic Board (2011-2012). Research Interests: Algebraic Geometry (e.g., projective varieties, secant varieties), Commutative Algebra (Hilbert functions, determinantal representations), and applied areas like tensor decomposition, geometric complexity, and algebraic statistics. His work bridges classical and modern algebraic geometry, with contributions to tensor rank, identifiability, and secant defectivity. Key Projects: Studies on interpolation, secant varieties, and geometric configurations. Collaborations on tensor analysis with applications in statistics and theoretical physics. Active in academic service and education, teaching advanced geometry and mathematics pedagogy.
Francesco Galuppi is an Assistant Professor at the University of Warsaw, within the Faculty of Mathematics, Informatics and Mechanics. His research focuses on complex algebraic geometry, tensor decompositions, and their applications to signature tensors of paths, bridging theoretical mathematics with applied sciences like data analysis and machine learning. He leads the Sonata grant 'Tensor rank and its applications to signature tensors of paths' funded by the National Science Center, Poland. His work explores geometric approaches to tensor structure, emphasizing interactions across disciplines. Key topics include secant varieties, tensor rank, and symmetry analysis of signature tensors. Galuppi has organized workshops such as 'Apolarity in Varsavia' and co-organized conferences like the SIAM minisymposium 'Tensors in Applications.' His recent activities include talks on path signatures, eigenpoint schemes, and defectivity of Segre-Veronese varieties, reflecting his commitment to advancing algebraic geometry’s practical applications. He actively engages in academic communities, delivering seminars and collaborating internationally. His research narrative includes grants, interdisciplinary collaborations, and contributions to thematic semesters like AGATES, focusing on tensors in diverse fields from quantum physics to optimization.
Maria Chiara Brambilla is an Associate Professor in the Department of Industrial Engineering and Mathematical Sciences (DIISM) at Università Politecnica delle Marche, Faculty of Engineering. Her research specializes in algebraic geometry, with emphasis on moduli spaces, vector bundles, and secant varieties. She investigates fundamental structures in birational geometry and interpolation theory, contributing to advancements in the classification of geometric objects and their deformations. Research Focus: Her work explores: Birational properties of Mori dream spaces and blowups Defectivity and non-defectivity in Segre-Veronese varieties Terracini loci and their minimality conditions Geometric invariants of flag manifolds and hypersurfaces Algebraic boundaries in tensor rank theory Publication Trends: Recent articles (2021-2025) demonstrate deepening work on Terracini loci, twistor geometry, and movable divisors, frequently employing combinatorial and deformation-theoretic methods to resolve problems in higher-dimensional algebraic geometry.
Joseph Landsberg is the Owen Professor and Professor in the Department of Mathematics at Texas A&M University , affiliated with the College of Arts & Sciences . His research focuses on Algebraic Geometry, Differential Geometry, and their applications to computational complexity, particularly matrix multiplication and tensor analysis. He has contributed to geometric complexity theory, secant varieties, and the study of symmetric tensors. Education: Ph.D., Mathematics, Duke University, 1990 Habilitation, Université de Toulouse, 1997 B.Sc. and M.Sc., Brown University, 1986 Research Interests: Landsberg explores the geometry of tensors, matrix multiplication algorithms, and complexity theory. His work bridges algebraic geometry, representation theory, and computational problems, with applications in quantum computing and cryptography. Recent studies include secant varieties, border rank analysis, and symmetry exploitation in tensor networks. Grants & Awards: AF: Small grants (2022, 2018) for complexity theory and matrix multiplication research Labs & Affiliations: Affiliated with the Institute for Applied Mathematics and Computational Science (IAMCS) at Texas A&M. His work intersects with interdisciplinary teams in computational mathematics and theoretical physics.
Marco Andreatta is a Full Professor of Geometry at the University of Trento's Department of Mathematics, Faculty of Science. He earned his Ph.D. in Mathematics from the University of Trento in 1981 with highest honors. His academic career includes positions as Researcher (1983-1987), Associate Professor (1987-2000), and Full Professor (since 2000). He has held visiting professorships globally, including at the University of Notre Dame, Max-Planck Institute, and MSRI Berkeley. Research Interests: Andreatta specializes in algebraic geometry, focusing on classification of projective varieties, minimal models, Mori theory, and adjunction theory. His work extends to complex differential geometry, topology, and the philosophy of space. Since the 2000s, he has actively researched science communication, exploring mathematics' societal role through books and public engagement. Publications & Research: His 60+ publications emphasize birational geometry and higher-dimensional varieties. Recent works analyze Fano varieties, geometric contractions, and historical/theoretical intersections in mathematics. He frequently contributes to interdisciplinary topics linking geometry with art, history, and education. Awards & Leadership: Corresponding Member, Accademia delle Scienze di Torino (2014) Ordinary Member, Accademia Roveretana degli Agiati (2014) Finalist, Premio Nazionale di Divulgazione Scientifica (2022) Andreatta directs the Centro Internazionale di Ricerche Matematiche (CIRM) and has led the Department of Mathematics (2018-2021), the Faculty of Science (2004-2008), and the Trento Science Museum. He coordinates national research projects (PRIN) and advises doctoral students. Outreach: He authors popular science books (e.g., La Forma delle Cose , Archimede, l’arte della misura ) and lectures at festivals globally on mathematics' cultural and practical impact.
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.
Max Planck Institute for Mathematics in the SciencesGermany
Alessandro Oneto is an Associate Professor at the Department of Mathematics, University of Trento (Italy). He has held postdoctoral positions at Inria Sophia Antipolis (France), Universitat Politècnica de Catalunya (Spain), and OvGU Magdeburg (Germany) under the Alexander von Humboldt Fellowship. His research focuses on Algebraic Geometry and Commutative Algebra, particularly tensor decompositions and their applications in algebraic statistics and computational algebra. Ph.D. in Mathematics, Stockholm University (2016) Undergraduate studies, Università Degli Studi di Genova (Italy) His recent work explores tensor decomposition loci, secant varieties, and identifiability in Gaussian mixtures. Alessandro co-organized the INABAG Conference 2025 and contributes to the MultilinearVerse portal for tensor literature. He is affiliated with the TensorDec Laboratory at Trento, fostering research and education in tensor decompositions. Alexander von Humboldt Postdoctoral Fellowship Alessandro collaborates extensively with institutions across Europe and participates in joint seminars and networks like INABAG, connecting algebraic geometry with applied mathematics.
Prof. Dr. Gavril Farkas is a Full Professor (W3) and the Director of the Institute of Mathematics at Humboldt-Universität zu Berlin, where he leads the Algebraic Geometry I research group and serves as Chair of the Berlin Mathematical School. His academic career spans prestigious institutions including Princeton University and the University of Texas at Austin before joining Humboldt University in 2007. Professor Farkas completed his PhD at the Universiteit van Amsterdam in 2000 under Gerard van der Geer with a thesis titled "The birational geometry of the moduli space of curves." His academic journey began with studies at Babes-Bolyai University, followed by a Master's program in the Netherlands, and postdoctoral work at the University of Michigan. His research focuses on algebraic geometry, particularly the geometry and topology of moduli spaces. His work spans multiple interconnected areas including moduli of curves, enumerative geometry, syzygies, vector bundles on curves, abelian varieties, Prym varieties, K3 surfaces, and Brill-Noether theory. Professor Farkas employs sophisticated techniques from commutative algebra, topology, and combinatorics to address fundamental questions in algebraic geometry. His recent publications demonstrate a continued focus on the interplay between syzygies, moduli spaces, and topological invariants. The 15 most recent papers reveal a strong emphasis on Koszul modules, resonance varieties, and their applications to classical problems in algebraic geometry, with frequent collaborations with leading mathematicians across Europe and the United States. Member of Berlin-Brandenburgische Akademie der Wissenschaften (2022) Member of Academia Europaea (2023) ERC Advanced Grant "SYZYGY: Syzgies, moduli and topological invariants of groups" (2020-2026) DFG Research Training Group Berlin-Hannover "From geometry to numbers" (2024-2029) As a dedicated educator, Professor Farkas has supervised over 15 PhD students whose work spans various aspects of algebraic geometry. He is Managing Editor of "Algebraic Geometry" and serves on editorial boards of several prestigious mathematics journals. He regularly organizes international conferences including upcoming events "Two centuries of moduli" in Berlin (2026) and "Algebraic curves: moduli and syzygies" in Cetraro (2026), demonstrating his continued leadership in the field.
Alessandro Oneto is an Associate Professor at the Università di Trento since April 2023, after serving as a tenure-track Assistant Professor (Ricercatore RTD-b) since April 2020. Prior to this, he held postdoctoral positions at Inria Sophia Antipolis Méditerranée (France, 2016-2018) Universitat Politècnica de Catalunya (Spain, 2018-2019) OvGU Magdeburg (Germany, 2019-2020) . Education Ph.D. in Mathematics, Stockholm University (2016), thesis: Waring-type problems for polynomials in algebraic geometry , supervised by Boris Shapiro and Enrico Carlini . Research focus Commutative Algebra Algebraic Geometry Tensor Decompositions Algebraic Statistical Models . Recent publications highlight advancements in tensor decomposition loci, secant varieties, polynomial strength, and geometric conditions for tensor ranks. His work bridges algebraic geometry and applied mathematics, addressing problems in tensor analysis and computational algebra. Scientific Awards Alexander von Humboldt Postdoctoral Fellowship (2019-2020) . Labs & Networks Co-founder of the TensorDec Laboratory (2020-present) at the University of Trento, focusing on tensor decompositions and training students. Member of the INABAG Network (Italian Network for Applied and Birational Algebraic Geometry), organizing conferences and collaborative activities. .
Ada Boralevi is an Associate Professor in the Department of Mathematical Sciences "G. L. Lagrange" (DISMA) at Politecnico di Torino, Italy. She is a prominent researcher in algebraic geometry, specializing in vector bundles, tensor decomposition, determinantal representations, and related algebraic structures. Her work bridges pure mathematics with applications in numerical analysis, mathematical physics, and computational algebra. PhD in Mathematics, University of Florence, 2008 MA in Mathematics, UCLA, 2006 Laurea in Mathematics, University of Florence, 2004 Her research interests lie at the intersection of algebraic geometry, commutative algebra, and multilinear algebra. She investigates homogeneous vector bundles, secant varieties, constant rank matrices, and tensor decompositions, with a focus on geometric and algebraic properties. Her work often involves moduli spaces, stability conditions, and equivariant constructions. She is particularly known for her contributions to the theory of instanton bundles and determinantal representations. The analysis of her recent publications reveals a sustained focus on algebraic structures derived from matrices and tensors. Her work spans from foundational algebraic geometry (e.g., sections of homogeneous bundles) to applied topics such as uniform determinantal representations and tensor decomposition. A recurring theme is the interplay between geometry and linear algebra, especially in the context of rank constraints and symmetry. Her collaborations with leading mathematicians highlight her active role in the international research community. She is actively involved in the mathematical community through service and leadership. She is a member of the European Women in Mathematics and the Unione Matematica Italiana. She has organized numerous conferences and summer schools, including the TAGSS series, which promotes women in mathematics. She has also served on organizing committees for MEGA 2017, Vector Bundles Days, and several workshops on tensors and algebraic geometry. Ada Boralevi mentors PhD students, including Stefano Canino, and participates in the doctoral college in Pure and Applied Mathematics at Politecnico di Torino. She has secured research contracts with institutions such as SISSA, TU Eindhoven, and IMPAN. Her teaching includes undergraduate courses in linear algebra and geometry, as well as advanced PhD-level topics on spaces of matrices and their applications. She is a key organizer of algebraic geometry activities in Turin, jointly between Politecnico di Torino and the University of Turin. She co-founded the TAGSS (Trieste Algebraic Geometry Summer School) with Valentina Beorchia and Barbara Fantechi, a series of schools taught by outstanding women mathematicians. Her leadership in these initiatives underscores her commitment to education and gender equity in mathematics.
Emanuele Ventura is a fixed-term tenure-track assistant professor in the Department of Mathematical Sciences "G. L. Lagrange" (DISMA) at Politecnico di Torino, Italy. His research focuses on algebraic geometry, algebraic combinatorics, and tensor mathematics, with applications in computational algebra and complexity theory. Research Interests: Algebraic and complex geometry Discrete mathematics and combinatorics Tensors and their geometric properties Commutative and non-commutative algebra Computational aspects of algebraic geometry His recent publications (2019–2025) center on tensor rank, secant varieties, strength of polynomials, and algebraic invariants, often in collaboration with leading researchers in the field. These works appear in top journals such as Advances in Mathematics , Journal of Symbolic Computation , and SIAM Journal on Matrix Analysis and Applications , reflecting a strong trend in the intersection of algebraic geometry and computational complexity. Scientific Awards: Anile Prize (2014) He is the Scientific Director of the PRIN-funded national research project AAGT - Applied Algebraic Geometry of Tensors (2025–2027), indicating leadership in competitive research grants. He teaches undergraduate courses like Linear Algebra and Geometry for Aerospace Engineering and has served as a lecturer in the PhD program in Pure and Applied Mathematics. He is affiliated with the research group on Algebraic Geometry, Commutative Algebra, and their Computational Aspects at DISMA.
Alessandro Oneto is an Associate Professor at the Department of Mathematics, Università di Trento, Italy. His academic career includes postdoctoral positions at institutions like Inria Sophia Antipolis (France), Universitat Politècnica de Catalunya (Spain), and OVGU Magdeburg (Germany). He holds a PhD in Mathematics from Stockholm University (2016) and master's/bachelor's degrees from Università di Genova (Italy). Research interests focus on Commutative Algebra and Algebraic Geometry, particularly tensor decompositions and algebraic statistical models. He co-organizes events such as the TensorDec Lab and contributes to the INABAG network. Recent work includes studies on decomposition loci of tensors, Hadamard products of curves, and Segre-Veronese varieties' non-defectivity. Awards: Humboldt Fellowship, PRIN2022 grant, INdAM-GNSAGA membership. Labs/Teams: TensorDec Lab (since 2020), MultilinearVerse project, INABAG. Grants: Principal Investigator for PRIN2022 Applied Algebraic Geometry of Tensors.
Changho Han is an Assistant Professor (Tenure-Track) in the Department of Mathematics at Korea University, Seoul, South Korea. His research focuses on algebraic geometry with an emphasis on moduli spaces, including their geometric and arithmetic properties such as birational geometry, compactifications, and rational points. He also investigates enumerative problems in algebraic geometry, exploring how geometric and arithmetic features evolve across families of algebraic varieties. Previously, Han served as a Postdoctoral Fellow at the University of Waterloo (2022–2024) and a Limited-Term Assistant Professor at the University of Georgia (2019–2022). He earned his PhD in Mathematics from Harvard University under Joe Harris. His work bridges classical algebraic geometry with modern techniques, particularly in analyzing moduli spaces of curves and surfaces. His research trends reflect deep engagement with foundational problems in algebraic geometry, including the structure of moduli spaces for K3 surfaces and hyperelliptic curves. Ongoing projects explore arithmetic inflection theory, secant varieties, and comparisons between different compactification methods for log Calabi-Yau pairs. No scientific awards are explicitly mentioned in the provided texts. His advising and grants are not detailed, though collaborations with mentors like David McKinnon, Matt Satriano, and Valery Alexeev suggest active research partnerships. No lab or team affiliations are specified in the text.
Hirotachi Abo is a Professor and Department Chair in the Department of Mathematics and Statistical Science at the University of Idaho, College of Science. His academic career has focused on algebraic geometry, vector bundles, and tensor analysis. Education: PhD in Mathematics, Saarland University (2002) Hirotachi Abo's research explores the intersection of algebraic geometry and tensor theory, particularly through the lens of vector bundles and secant varieties. His work investigates the geometric properties of Segre–Veronese varieties, discriminant loci, and eigenconfigurations of tensors. The analysis of his recent publications reveals a consistent focus on non-defectivity of secant varieties, algebraic structures in projective spaces, and tensor decompositions. These studies often employ advanced methods in algebraic geometry and exterior algebra.
