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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).

• Algebraic Geometry
• Syzygies of Algebraic Varieties
• Secant Varieties
• +6 more

Maria Rita Casali is a Full Professor at the Department of Physical, Computer and Mathematical Sciences, University of Modena and Reggio Emilia. Her research focuses on geometry, topology, and mathematical structures, particularly in relation to PL-manifolds and colored tensor models. Teaching: Courses in Geometry, Discrete Mathematics, and Linear Algebra for Engineering and Strategic Sciences degrees. Research: Investigates combinatorial invariants (regular genus, G-degree, gem-complexity) for compact 4-manifolds, linking them to quantum gravity and tensor models. Publications: Recent works include studies on trisections of 4-manifolds, classifications via colored graphs, and combinatorial properties of the G-degree. Her contributions to crystallization theory and PL-manifold representation have advanced the understanding of geometric topology and its applications in theoretical physics.

• Geometry
• Discrete Mathematics
• Linear Algebra
• +3 more

Kazushi Ueda is an Associate Professor at the Graduate School of Mathematical Sciences, The University of Tokyo, where he has been since April 2015. His research spans algebraic geometry, symplectic geometry, and mathematical physics, with a focus on homological mirror symmetry and its applications to moduli spaces, Calabi-Yau manifolds, and singularities. He previously held academic positions at Osaka University from 2006 to 2015, including roles as Assistant Professor and Associate Professor. Ueda has also had visiting appointments at institutions such as the University of Oxford, Max Planck Institute for Mathematics, and Korea Institute for Advanced Study. Bachelor of Science, Kyoto University (1997-2001) Master of Science, Kyoto University (2001-2003) Doctor of Science, Kyoto University (2003-2006) Ueda's research explores the deep interplay between complex and symplectic geometry through mirror symmetry, particularly in the context of Calabi-Yau varieties, toric degenerations, and dimer models. His work addresses derived categories, stability conditions, and moduli problems, with recent contributions to noncommutative algebraic geometry and applications in mathematical physics. He has collaborated extensively with researchers like Akira Ishii, Masahiro Futaki, and Shinnosuke Okawa. His publications highlight homological mirror symmetry for K3 surfaces, Grassmannians, and singularities, as well as studies on modular forms, cluster transformations, and the Grothendieck ring. Ueda is a member of the Mathematical Society of Japan and has contributed to educational programs, including graduate lectures on mirror symmetry and symplectic geometry.

• Algebraic Geometry
• Symplectic Geometry
• Mathematical Physics
• +1 more

Alexei Kovalev is an Associate Professor in the Department of Pure Mathematics and Mathematical Statistics (DPMMS) at the University of Cambridge . His research focuses on differential geometry and global analysis , with a particular emphasis on special holonomy manifolds, geometric analysis, and connections to mathematical physics. Publications Highlights : Major contributions to G2-holonomy manifolds, coassociative submanifolds, and Yang-Mills instanton reductions to Nahm’s equations. Research Group : Differential Geometry & Topology, University of Cambridge. Kovalev's work explores the intersection of differential geometry and topology, including asymptotically cylindrical manifolds, Calabi-Yau deformations, and K3 surface involutions. His publications demonstrate deep connections between geometric structures and physical theories like Yang-Mills. Notable collaborations include JD Lotay, J Nordstrom, and M Singer. He maintains an active research program, with recent work (2019) on calibrated submanifold deformations and compact G2-holonomy constructions. Earlier works (2000–2007) established foundational results in anti-self-dual metrics, Nahm’s equations, and twisted connected sums.

• differential geometry
• global analysis
• mathematical physics
• +1 more

Arend Bayer is a Professor of Algebraic Geometry at the University of Edinburgh's School of Mathematics, where he has been a faculty member since 2012. He specializes in areas such as stability conditions, moduli spaces, and derived categories, contributing to the understanding of Fano varieties, K3 surfaces, and wall-crossing phenomena. His research emphasizes collaboration, reflecting his belief in mathematics as a social endeavor. Education: Arend holds degrees from prestigious institutions, including a PhD from the University of Bonn, with earlier studies at Heidelberg University and a year at the University of Cambridge. His academic journey reflects a deep commitment to advancing algebraic geometry through rigorous research and interdisciplinary collaboration. Research Interests: Arend’s work focuses on algebraic geometry, particularly in stability conditions, Fano varieties, and moduli spaces. He explores the interplay between algebraic structures and geometric objects, often employing derived categories and wall-crossing techniques. His contributions include foundational insights into Kuznetsov components and the geometry of cubic threefolds. Collaborations are central to his approach, emphasizing problem-solving through shared ideas and sustained intellectual exchange. Scientific Awards: No specific scientific awards were mentioned in the provided text. Advising and Grants: While specific advising records or grant details are not detailed in the text, Arend’s collaborative approach suggests active involvement in mentoring and securing research funding. Labs and Teams: Arend contributes to a thriving research group within the School of Mathematics at Edinburgh, focusing on structural and symmetrical aspects of algebraic geometry. His work aligns with broader initiatives in the department, fostering a collaborative environment for advanced mathematical inquiry.

• Algebraic Geometry
• Moduli Spaces
• Stability Conditions
• +4 more

Richard Thomas FRS is a Royal Society Research Professor in the Department of Mathematics at Imperial College London, affiliated with the Faculty of Natural Sciences. His research focuses on algebraic geometry, Calabi-Yau manifolds, derived categories of coherent sheaves, and moduli problems. He holds a prestigious position as a Fellow of the Royal Society (FRS). His work bridges pure mathematics and theoretical physics, particularly in areas like mirror symmetry and string theory. Key themes include enumerative geometry, stability conditions, and geometric invariants. Recent publications (2020–2025) explore advanced topics such as wall-crossing phenomena, K-theoretic invariants, and applications of derived categories to moduli spaces. His contributions have significantly impacted modern algebraic geometry and its interdisciplinary connections.

• Algebraic Geometry
• Calabi-Yau Manifolds
• Derived Categories
• +4 more

Yuri Tschinkel is a Professor of Mathematics at the Courant Institute of Mathematical Sciences, New York University, and Director of the Mathematics and Physical Sciences Division at the Simons Foundation since 2012. He previously held positions at the University of Goettingen, Princeton University, and the University of Illinois at Chicago. His research spans algebraic geometry, analytic number theory, and arithmetic geometry, focusing on rational points, birational geometry, and algebraic structures. Ph.D. in Mathematics, MIT (1992) His work addresses stable rationality of algebraic varieties, weak approximation over function fields, and distribution of rational points. Key contributions include studies on Mori cones, log Fano varieties, and quadric surface bundles. Recent publications reflect collaborations with leading mathematicians like Kontsevich and Hassett. Scientific accolades include 2018 Member of Leopoldina, German National Academy of Sciences 2014 Fellow of the American Association for the Advancement of Science 2012 Fellow of the American Mathematical Society As Director of the Simons Foundation division, he oversees grants and research initiatives in mathematics and physical sciences. He has authored 135 papers, edited 19 books, and serves on 8 editorial boards and advisory panels.

• Algebraic geometry
• Analytic number theory
• Arithmetic geometry

Matt Kerr is a Professor of Mathematics at Washington University in St. Louis, where he has been affiliated since 2010. He holds a doctorate in Mathematics from Princeton University (2003) and has held prior positions at UCLA, the Max Planck Institute, the University of Chicago, and Durham University. His research focuses on Algebraic Geometry, Hodge Theory, and Mathematical Physics, with notable contributions to period maps, normal functions, and the arithmetic of motives. He has been awarded the Guido L. Weiss Teaching and Service Award (2024), a Simons Foundation Travel Grant (2024-2029), and the Barry M. Goldwater Scholarship (1996-1997). Dr. Kerr has organized numerous conferences, including the Western Algebraic Geometry Symposium (2023), and co-edited volumes such as Period Domains, Algebraic Cycles, and Arithmetic . He currently supervises four Ph.D. students (Xiaojiang Cheng, RJ Acuna, Devin Akman, Rachel Wu) and has mentored postdoctoral researchers like Ivan Horozov and Patricio Gallardo. His teaching spans advanced graduate courses (e.g., Complex Analysis, Algebraic Geometry) and undergraduate programs, including contributions to the Washington University Math Circle and the National Alliance for Doctoral Studies mentorship initiative. His work bridges pure mathematics and theoretical physics, particularly through studies of Feynman integrals, Calabi-Yau varieties, and quantum curves. He is actively involved in academic service, including roles on hiring committees, grant reviewing, and mentoring programs. Recent research themes include regulators of algebraic cycles, singularities in Hodge theory, and compactifications of moduli spaces. Grants: NSF grants (2011–2024), FRG grants, Simons Foundation awards, and EPSRC funding. Awards: Multiple teaching and service recognitions, including the 2024 Weiss Award. Publications: Over 40 peer-reviewed articles and books, including collaborations with leading mathematicians like Phillip Griffiths and Spencer Bloch.

• Algebraic Geometry
• Hodge Theory
• Mathematical Physics
• +3 more

Valentino Tosatti is a Professor of Mathematics at the Courant Institute of Mathematical Sciences, New York University. His research focuses on complex and differential geometry, geometric analysis, and partial differential equations (PDEs), with connections to algebraic geometry and dynamical systems. He explores topics such as Kähler geometry, Calabi-Yau manifolds, symplectic geometry, geometric flows, and the Monge-Ampère equations. His work often addresses the interplay between geometric structures and their analytic properties. Education: He earned his PhD in Mathematics from Harvard University in 2009 under the supervision of Shing-Tung Yau. Prior to that, he completed a Laurea (BSc) at the University of Pisa and a Minor Thesis at Harvard. Research Interests: Tosatti's work emphasizes the study of geometric flows (e.g., Kähler-Ricci flow), collapsing behavior of Calabi-Yau metrics, and canonical currents on K3 surfaces. His contributions include foundational results on the regularity of solutions to Monge-Ampère equations and the asymptotic analysis of geometric structures under degenerations. Publications and Trends: His recent articles address themes like volume regularity, collapsing metrics, and geometric flows, reflecting a deep engagement with the analytic and geometric challenges in complex geometry. He has also organized conferences and workshops on topics such as geometric analysis and complex geometry. Professional Activities: Tosatti serves on editorial boards for journals including the Canadian Journal of Mathematics and Mathematische Zeitschrift. He has contributed to organizing events like the 2026 Oberwolfach workshop on Complex Geometry and Dynamical Systems and has been involved in academic seminars at institutions like Columbia University and Northwestern University.

• Complex Geometry
• Differential Geometry
• Geometric Analysis
• +6 more

Andrei Jorza is an Associate Professor of the Practice in the Department of Mathematics at the University of Notre Dame. His research focuses on the interplay between number theory and algebraic geometry, including topics such as modular forms, Galois representations, p-adic Hodge theory, and arithmetic geometry. He holds an A.B. from Harvard University (2005) and a Ph.D. from Princeton University (2010), advised by Andrew Wiles. Prior to his current position, he was a Taussky-Todd Instructor at Caltech and a member of the Institute for Advanced Study (IAS). Dr. Jorza has taught advanced courses on p-adic Hodge theory, global class field theory applications, algebraic number theory, and graduate algebra. His work includes significant contributions to computational verification of the Birch and Swinnerton-Dyer conjecture and studies on Galois representations for Siegel modular forms. His research also extends to topics like Lagrangian hyperplanes in holomorphic symplectic varieties and eigenvarieties in automorphic forms. He is affiliated with Notre Dame's Department of Mathematics, located in 275 Hurley Hall, and actively participates in seminars on algebraic geometry and commutative algebra. His lecture notes and courses reflect a deep engagement with foundational topics in number theory and algebra, emphasizing adelic methods and applications of class field theory.

• Number Theory
• Algebraic Geometry
• Representation Theory
• +4 more

John Voight is a Professor of Mathematics at the University of Sydney, affiliated with the School of Mathematics and Statistics. He holds a Ph.D. from UC Berkeley (2005) and has held academic positions at the University of Sydney, University of Minnesota, University of Vermont, and Dartmouth College. His research focuses on arithmetic algebraic geometry, number theory, and computational aspects of these fields, including modular forms, elliptic curves, and quaternion algebras. Education: Ph.D. in Mathematics, UC Berkeley (2005); earlier studies include a focus on classical piano and liberal arts at Gonzaga University. Professional trajectory includes postdoctoral roles at the University of Sydney and University of Minnesota, followed by faculty appointments at the University of Vermont (2006–2013) and Dartmouth College (2013–present). Research Interests: Arithmetic algebraic geometry: modular curves, Shimura varieties, moduli spaces, and algorithmic methods Number theory: algebraic number theory, quadratic forms, cryptography, and coding theory Computational mathematics: modular forms, quaternion algebras, and database construction (e.g., LMFDB) Publications and Recognition: Over 90 peer-reviewed articles, including contributions to Contemp. Math. , Math. Comp. , and Res. Number Theory . Recipient of the Selfridge Prize in Number Theory and recognized for teaching excellence at Dartmouth. Leads projects on Hilbert modular forms and paramodular abelian surfaces. Teaching and Mentorship: Emphasizes student-centered learning and the integration of liberal arts with STEM. Advises students on topics ranging from elliptic curves to cryptography. Active in curriculum design and promoting computational tools in mathematics education. Labs/Teams: Collaborates with the L-Functions and Modular Forms Database (LMFDB) project, contributing to computational frameworks for algebraic geometry and number theory.

• Arithmetic Algebraic Geometry
• Number Theory
• Cryptography
• +4 more

Matteo Penegini serves as an Associate Professor in the Department of Mathematics at the University of Genoa, where he holds a seat on the Department Board. His teaching portfolio spans multiple degree programs including Economic and Financial Sciences, Biomedical Engineering, and Mathematical Statistics, with courses such as General Mathematics, Geometry, and Linear Algebra and Analytic Geometry. His research centers on advanced Algebraic Geometry, specializing in the classification and structural analysis of algebraic surfaces and threefolds. Key investigations include triple covers of K3 surfaces, surfaces with pg=q=2 invariants, and projective varieties of general type. His work integrates cohomological methods, birational transformations, and moduli space theory to explore geometric genus constraints and Albanese map properties. Recent publications reveal a consistent focus on geometric invariants and covering spaces, with collaborative studies examining K3 surface covers (2022), surface families with specific Chern numbers (2021), threefold classification (2021), cohomology of irregular surfaces (2020), and Zariski multiplets from isogenous surfaces (2020). This trajectory demonstrates deepening engagement with Hodge theory and moduli problems in complex algebraic geometry.

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

Prof. Dr. Marc Nieper-Wißkirchen is a University Professor (W3) for Algebra and Number Theory at the Institute of Mathematics, University of Augsburg, since 2008. He has held visiting positions at the Max Planck Institute for Mathematics in Bonn and the University of Cambridge, and served as a Junior Professor at Johannes Gutenberg University Mainz (2004–2008). Since October 2021, he has been Vice Dean of the Faculty of Mathematics, Natural Sciences and Technology (MNTF). Education: Diploma in Mathematics (2000) from the University of Cologne, preceded by preliminary diplomas in physics (1997) and mathematics (1997). His doctoral studies (2000–2002) under Prof. Daniel Huybrechts focused on characteristic classes and Rozansky-Witten invariants of hyperkähler manifolds. His research spans algebraic geometry, differential geometry, and mathematical physics, with a focus on hyperkähler manifolds, Hilbert schemes of points, irregular singular connections, and Stokes phenomena. He has contributed to the understanding of Rozansky-Witten invariants, Chern numbers, and topological aspects of differential equations. Recent publications include works on Betti structures of hypergeometric equations (2022) and Stokes matrices for confluent hypergeometric equations (2022), reflecting his ongoing exploration of differential equations' geometric underpinnings. Earlier works address Hochschild homology, equivariant cohomology, and operads in algebraic contexts. His computational contributions include software demonstrations for elliptic curve arithmetic, Collatz sequences, and Google Matrix simulations. Technical expertise includes programming languages (TeX, PHP, HTML) and systems (Unix/Linux, Zope/Plone).

• Algebraic Geometry
• Hyperkähler Manifolds
• Rozansky-Witten Invariants
• +3 more

Eva Bayer Fluckiger is an Honorary Professor at the School of Basic Sciences (SB) at EPFL, Lausanne. She holds a position in the Mathematics Section (SB-DEC) and is affiliated with the Department of Mathematics. Her academic career includes a Doctorate from the University of Geneva (1978) under Michel Kervaire, postdoctoral work in Germany, France, and the U.S., and a CNRS position (1987–2001). She became a full professor at EPFL in 2001. Her research focuses on algebraic number theory, Galois cohomology, quadratic and Hermitian forms, knot theory, and applications to algebraic codes. She has held visiting positions at prestigious institutions like IAS Princeton and has been actively involved in editorial roles and international committees. Her awards include the Vacheron Constantin Prize (1983) and the Maria Sybilla Merian Prize (2001). She has advised numerous PhD students and contributed over 150 publications, with recent work emphasizing K3 surfaces, lattice theory, and algebraic geometry. She is an editor of five international journals and has held leadership roles in mathematical societies, including the European Mathematical Society.

• Algebraic Number Theory
• Galois Cohomology
• Quadratic Forms
• +5 more

Martin Olsson is a Professor in the Department of Mathematics at the University of California, Berkeley , where he has been a faculty member since 2006. He currently serves as the Department Chair and is affiliated with the Simons Collaboration on Perfection in Algebra, Geometry, and Topology . His research focuses on Algebraic Geometry and Arithmetic Geometry , exploring topics such as K3 surfaces , abelian varieties , Brauer groups , motives , and moduli spaces . He has supervised numerous PhD theses on advanced topics in these fields. Martin Olsson's work is funded by the National Science Foundation , including FRG grant 2151946 and RTG grant 1646385. He has mentored students including Roy Zhao, Ravi Fernando, Michael Christianson, and others, with theses spanning 2009–2023.

• Algebraic Geometry
• Arithmetic Geometry
• K3 Surfaces
• +7 more