جست‌وجوی استاد و پژوهشگر

Taylor Dupuyمشاهده پروفایل

استادیار

• Arithmetic Geometry
• Differential Algebra
• Applied Model Theory
• +۳ مورد دیگر

Taylor Dupuy is an Assistant Professor at the University of Vermont in the Department of Mathematics and Statistics within the College of Engineering and Mathematical Sciences. His research bridges arithmetic geometry, differential algebra, and applied model theory. Expertise in Arithmetic Geometry , focusing on abelian varieties and Mochizuki's work Contributions to Differential Algebra through p-differentials and differential equations Applications in Applied Model Theory for mathematical logic Recent publications examine topics like Ford spheres, angle ranks of abelian varieties, and extensions of the Abel-Jacobi map. His work connects number theory with geometric frameworks and computational verification. He teaches courses such as MATH 6441: Theory of Functions of Complex Variables and MATH 2248: Calculus III .

Christopher Derek Haconمشاهده پروفایل

استاد

• Algebraic Geometry
• Birational Geometry
• Minimal Model Program
• +۳ مورد دیگر

Christopher Derek Hacon is a Professor of Mathematics at the University of Utah , holding a Presidential Endowed Chair. His research focuses on algebraic geometry , particularly in birational geometry, minimal model program, and the study of varieties of general type. Education : PhD from University of California, Los Angeles (1998), under Robert Lazarsfeld; MS in Mathematics from University of Pisa (1992); BS from Scuola Normale Superiore, Pisa. His work has advanced understanding of birational geometry , including boundedness of pluricanonical maps and existence of minimal models. He has contributed to the classification of algebraic varieties via techniques like flips, flops, and canonical rings. His publications from 2004–2006 highlight his focus on birational geometry , minimal model program , and varieties of general type , with applications to abelian varieties and singularities. Scientific Awards : Clay Research Award (2007) Cole Prize (2009) Feltrinelli Prize (2011) Breakthrough Prize (2018) Fellowships: American Mathematical Society (2012), Royal Society (2019) Membership: National Academy of Sciences (2018), American Academy of Arts and Sciences (2017) Editorial Roles : Editor for Journal of Algebraic Geometry (2009–present) Associate Editor for Journal of Pure and Applied Algebra (2016–present) Editorial Board: Bollettino Unione Matematica Italiana (2014–present), Algebra and Number Theory (2019–present), Peking Mathematical Journal (2019–present) Grants & Collaborations : Simons Investigator (2012), Breakthrough Prize funding (2018), and collaborations on the Minimal Model Program with James McKernan and others.

Paul Arne Østværمشاهده پروفایل

استاد

• Algebraic Topology
• Motivic Homotopy Theory
• Geometry
• +۳ مورد دیگر

Paul Arne Østvær is a Professor in the Department of Mathematics at the University of Oslo, specializing in Algebra, Geometry and Topology. His research primarily focuses on motivic homotopy theory, algebraic topology, and geometric structures. Affiliated with the Geometry and Topology research group, he contributes to advanced mathematical frameworks connecting algebraic geometry with homotopy theory. Østvær's research spans Motivic Homotopy Theory , Algebraic K-Theory , Geometry/Topology , and Homological Algebra . His work explores stable homotopy groups of motivic spheres, étale cohomology, logarithmic structures, and prismatic cohomology, often bridging abstract algebra with topological insights. Key themes include the interplay between algebraic cycles, motivic spectra, and geometric models, with applications to number theory and complex geometry. His recent publications (2020-2025) reveal a concentrated focus on Motivic cohomology and homotopy groups Logarithmic and prismatic cohomology Étale and Bredon cohomology Algebraic cobordism and K-theory Geometric models for suspensions Topological structures in motivic invariants These works consistently integrate advanced techniques from homotopy theory, algebraic geometry, and category theory. Østvær leads the research project Equations in Motivic Homotopy and collaborates extensively with international mathematicians including Tom Bachmann, Oliver Röndigs, and Markus Spitzweck. His advising and grant activities center on theoretical mathematics research, though specific students and funding details are not publicly listed in the provided materials. He maintains an active presence in the Geometry and Topology research group at the University of Oslo, contributing to the department's focus on cutting-edge algebraic and geometric structures through publications, collaborations, and project leadership.

• Foundations of Complex Systems
• Abelian Varieties
• Finite Fields
• +۵ مورد دیگر

Valentijn Karemaker is an Assistant Professor at the Faculty of Science, Utrecht University , specializing in the Mathematical Institute under the Fundamental Mathematics sub-unit. He focuses on the Foundations of Complex Systems , with particular expertise in Abelian Varieties , Finite Fields , Galois Representations , and Isogeny Classes . His research bridges theoretical mathematics and computational methods, notably contributing to problems like Hilbert's Tenth Problem and the Gauss problem for central leaves . He has published extensively in top-tier journals and co-authored significant surveys on local-global principles. Scientific Awards : NWO-Veni Award (2019) Westerdijk Award (2021-2022) Utrecht Young Academy (2021) NWO-XL Award (2022) NWO-Vidi Award (2023) Grants and Collaborations : He has received competitive NWO awards, hosted international researchers like Chia Fu Yu and Mihran Papikian, and contributed to editorial work for the American Mathematical Society.

• Algebraic Geometry
• Moduli Spaces
• Calabi-Yau Manifolds
• +۳ مورد دیگر

Martijn Kool is an Associate Professor at Utrecht University’s Faculty of Science , affiliated with the Fundamental Mathematics department. His research focuses on algebraic geometry, moduli spaces, Calabi-Yau manifolds, and intersection theory. Research Trends: His recent work (2022–2025) examines virtual invariants , Donaldson-Thomas theory , and Vafa-Witten theory , with applications to Calabi-Yau 4-folds, stable pairs, and higher-rank sheaves. Collaborations with prominent mathematicians like Lothar Göttsche and Yalong Cao are central to his contributions. Scientific Awards: NWO-Vidi award (2019) Advising & Grants: While specific student names are not listed, he has supervised three works. His research is supported by competitive fellowships and grants, including the NWO-Vidi award.

• Algebraic Geometry
• Combinatorics
• Cluster Algebras
• +۷ مورد دیگر

David Speyer is a Professor in the Department of Mathematics at the University of Michigan. He serves as Associate Chair for Education-Logistics and has been a key figure in curriculum development, particularly for Math 632 , Math 593 , and Math 665 . His research bridges algebraic geometry with combinatorial mathematics, focusing on areas such as cluster algebras , tropical geometry , and flag varieties . Education : Ph.D. in Mathematics from the University of California, Berkeley (2005); B.A. from Harvard University. Previous Positions : Clay Research Fellow (2005-2010), with appointments at the University of Michigan and MIT. Research Interests Speyer's work explores the intersection of algebraic geometry and combinatorics. His key contributions include studies on total positivity , shard theory in Coxeter groups , and combinatorial structures in algebraic varieties . Current projects involve cluster deep loci and 3D plabic graphs , connecting mirror symmetry to discrete mathematics. Scientific Contributions Awards : Clay Research Fellow (2005-2007). Publications : 15+ papers on algebraic geometry, combinatorial structures, and total positivity. Advising and Teaching Speyer has advised 9 graduate students and supervised 8 undergraduate research projects . He is involved in high school outreach through programs like PROMYS and Math Corps . He plans to take 2-4 new graduate students in the coming years.

• Complex Geometry
• Kähler Geometry
• Algebraic Geometry
• +۵ مورد دیگر

David Witt Nyström is a Professor of Algebra and Geometry at Chalmers University of Technology, specializing in complex geometry. His research focuses on Okounkov bodies, geodesics in spaces of Kähler metrics, volumes of cohomology classes, Hele-Shaw flows, and non-Archimedean Kähler geometry. Professor Nyström's research interests span multiple interconnected areas of geometry. His work on Okounkov bodies bridges convex geometry with complex algebraic geometry, providing powerful tools for studying positivity in line bundles. His investigations of geodesics in Kähler metric spaces connect to fundamental problems in complex differential geometry and stability theory. The recent focus on non-Archimedean aspects represents an expansion of his research program into newer mathematical territory, demonstrating continued intellectual vitality and adaptability. His publication record shows consistent output in top mathematics journals, with recent work appearing in Journal of Differential Geometry, Advances in Mathematics, and Journal für die Reine und Angewandte Mathematik. The research trajectory demonstrates both depth in core areas and expansion into new directions, particularly the non-Archimedean framework. Professor Nyström's work maintains strong connections to major developments in contemporary mathematics, including the study of canonical metrics, stability conditions in algebraic geometry, and the growing interface between complex and non-Archimedean geometry. His research contributes to several active frontiers in modern geometry, with potential implications for mathematical physics and other areas.

Shrawan Kumarمشاهده پروفایل

استاد

• Representation Theory
• Algebraic Geometry
• Lie Algebras
• +۵ مورد دیگر

Shrawan Kumar is the J.R. & L.S. Parker Distinguished Professor in the Department of Mathematics at the University of North Carolina at Chapel Hill. He joined UNC in 1991 and has held the distinguished professorship since 2010. Additionally, he maintains an adjunct position at the Tata Institute of Fundamental Research (2006–present). His academic journey includes a B.Sc. from Gorakhpur University (1973), an M.Sc. from Bombay University (1975), and a Ph.D. from Bombay University (1986) under the supervision of S. Ramanan. Kumar's research centers on representation theory, algebraic geometry, and topology, with a focus on semisimple groups, Kac-Moody algebras, and their flag varieties. He investigates moduli spaces of principal bundles, eigenvalue problems, and geometric structures in representation theory. Key areas include Frobenius splitting, tensor product decompositions, and conformal blocks, blending algebraic, geometric, and combinatorial methods. His recent publications (2020–2025) demonstrate sustained engagement with representation theory, Kac-Moody algebras, and algebraic geometry. Trends include advances in equivariant K-theory, conformal field theory generalizations, combinatorial counterexamples, and homological structures in Lie theory. Works frequently intersect mathematical physics, showcasing applications in quantum algebra and vertex operator algebras.

• Real Algebraic Geometry
• Optimization
• Computational Algebra
• +۸ مورد دیگر

Cordian Benedikt Riener is a Professor in Mathematics at UiT The Arctic University of Norway, Tromsø, and serves as Pro-Dean for PhD education at the Faculty of Science and Technology. He leads the Algebra group and is a co-director of the Lie-Størmer Center for Fundamental Structures in Computational and Pure Mathematics. His academic roles include chairing the Norwegian Mathematics Council and serving on the Abel Prize board. Habilitation in Mathematics (2018, University of Konstanz) Magister Artium in Philosophy (2013, Goethe University Frankfurt) PhD in Mathematics (2011, Goethe University Frankfurt) Master in Pure Mathematics (2005, Université de Bordeaux 1) Diplom in Mathematical Economics (2006, Universität Ulm) Riener’s research bridges mathematics and theoretical computer science, focusing on computational complexity, real algebraic geometry, and polynomial optimization. His work includes characterizing positive polynomials via sums of squares, studying moment problems, and developing semidefinite relaxation methods. He explores symmetry in algebraic structures, such as Specht ideals and Weyl group orbits, with applications in discrete geometry and spectral graph theory. His recent publications emphasize symmetric semi-algebraic sets, trigonometric polynomial optimization, and tropical geometry. The 15 most recent articles span 2023-2025, addressing topics like symmetric nonnegative forms, orbit space descriptions, and algorithmic symmetry reduction. Keywords include Real Algebraic Geometry, Optimization, and Computational Complexity, with subfields such as Sums of Squares, Spectral Bounds, and Tropical Geometry. Aalto Science Institute Fellow (2012-2016) Zukunftskolleg Associate Fellow (2011-2012) Riener contributes to academic service as chair of the Norwegian Mathematics Council and Abel Prize board member. He has organized conferences like ISSAC 2023 and Nordic Combinatorial Conference 2022. His projects include POEMA (Horizon 2020) and SymRAG, with leadership in the Lie-Størmer Center and MASCOT collaborations.

Aljaž Zalarمشاهده پروفایل

استادیار

• Real Algebraic Geometry
• Truncated Moment Problems
• Matrix Polynomials
• +۳ مورد دیگر

Assistant Professor Aljaž Zalar is affiliated with the University of Ljubljana at the Faculty for Computer and Information Science . His research focuses on Real Algebraic Geometry , Truncated Moment Problems , and Matrix Polynomials , with applications in Operator Theory and Positive Linear Maps . PhD in Mathematics, University of Ljubljana (2017) MSc and BSc in Mathematics, University of Ljubljana (2013, 2011) Zalar's work bridges theoretical mathematics and computational applications, including copositive matrices , positive semidefinite matrix completions , and noncommutative polynomial positivity . His recent projects address truncated moment problems on curves and algebraic structures in optimization . His publications from 2016–2025 span journals like Linear Algebra and its Applications , SIAM Journal on Applied Algebra and Geometry , and Integrable Equations and Operator Theory , emphasizing polynomial operator analysis and matrix inequalities . Zalar supervises postdoctoral and graduate students, including PhD candidate Rajkamal Nailwal and Igor Zobovič, and mentors undergraduate researchers. He leads the ARIS grant project J1-60011 on real algebraic geometry approaches to moment problems.

• 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.

Jiří Leblمشاهده پروفایل

استاد

• Complex Analysis
• CR Geometry
• Computer Science
• +۳ مورد دیگر

Jiří Lebl is a Professor in the Department of Mathematics at Oklahoma State University , where he has been since 2013. He holds a PhD from UCSD (2007) and MA/BA from SDSU (2001, 2003). His academic journey includes postdoctoral positions at UIUC (2007–2010), UW-Madison (2011–2013), and visiting roles at UCSD (2010–2011, 2020–2021). Research Focus : Complex analysis and CR geometry, with connections to computer science, quantum computing, algebraic geometry, and commutative algebra. Key topics include real analytic CR submanifolds, Levi-flat hypersurfaces, singular varieties, and proper holomorphic mappings between balls. Publications : Over 30 research articles, including recent work on Hermitian forms, Segre varieties, and intrinsic complexification of real-analytic structures. His 15 most recent articles (2025–2020) explore CR singularities, Levi-flat geometry, and computational methods. Awards & Grants : PI on Simons Foundation grant 710294 (2020–2025) and NSF grants DMS-1362337 (2014–2018) and DMS-0900885 (2009–2013). These grants focus on CR geometry, holomorphic mappings, and mathematical physics. Students & Mentorship : PhD graduates include Alekzander Malcom (2021), Achinta Nandi (2024), and current PhD candidate Abdullah Al Helal (expected 2026). Master’s students: Jianou Zhang (2017), Trevor Fancher (2020). Postdocs mentored include Sivaguru Ravisankar (2013–2016), Octavian Mitrea (2019–2021), and Luka Mernik (2021–2024). Teaching : Courses include Math 2233 (Differential Equations) and Math 4013 (Calculus of Several Variables) at OSU. He has also taught courses at UIUC, UCSD, and UW-Madison, ranging from undergraduate to graduate levels.

Masayuki Kawakitaمشاهده پروفایل

دانشیار

• Algebraic Geometry
• Birational Geometry
• Minimal Model Program
• +۲ مورد دیگر

Masayuki Kawakita is an Associate Professor at the Research Institute for Mathematical Sciences (RIMS), Kyoto University, where he has been working since March 2008. Prior to this, he served as an Assistant Professor at RIMS from April 2004 to February 2008. He has held visiting positions at National Taiwan University (March 2016), University of Michigan (August/September 2009), Institute for Advanced Study (September 2004 - July 2005), and University of Cambridge (April 2001 - July 2002). Dr. Kawakita earned his academic degrees from the University of Tokyo: Bachelor of Science (March 1999), Master of Science (March 2001), and Philosophiae Doctor (March 2003). His foundational research training included a Research Fellowship from the Japan Society for the Promotion of Science from April 2001 to March 2004. Masayuki Kawakita's research focuses on algebraic geometry from the perspective of birational geometry. His early work involved the explicit classification of three-fold divisorial contractions. Currently, he investigates singularities in the minimal model program, with particular emphasis on minimal log discrepancies and the termination of flips. His research spans foundational aspects of singularity theory, minimal model program, and birational classification of algebraic varieties. Dr. Kawakita's recent publications demonstrate a consistent focus on minimal log discrepancies across various dimensional contexts. His work has progressed from studying three-fold divisorial contractions to more general investigations of minimal log discrepancies on smooth surfaces, threefolds, and fixed threefolds. A notable trend in his research is the application of motivic integration techniques and the exploration of boundedness properties of minimal log discrepancies. Young Scientists' Prize, Ministry of Education, Culture, Sports, Science and Technology (2009) Takebe Prize, Mathematical Society of Japan (2007) Dr. Kawakita has authored the book "Complex algebraic threefolds" published by Cambridge University Press in 2024 as part of the Cambridge Studies in Advanced Mathematics series. His extensive publication record includes numerous papers in prestigious journals such as Inventiones mathematicae, Journal of the American Mathematical Society, and American Journal of Mathematics. His research has been presented at international conferences worldwide, reflecting the global recognition of his contributions to algebraic geometry.

• Algebraic Geometry
• Complex Geometry
• Birational Geometry
• +۲ مورد دیگر

Noboru Nakayama serves as an Associate Professor at the Research Institute for Mathematical Sciences (RIMS), Kyoto University, specializing in foundational geometric structures within mathematics. His research spans: Algebraic Geometry Complex Geometry Birational Geometry Fibration Theory Surface Theory Key investigations include elliptic fibrations, torus fibrations, Zariski decomposition, numerical Kodaira dimension, endomorphisms, and special surfaces. His work bridges algebraic varieties and complex analytic varieties through bimeromorphic techniques, contributing to classification frameworks in higher-dimensional geometry. RIMS provides the institutional context for this theoretical research within Japan's mathematical community.

• Complex Geometry
• Algebraic Geometry
• Singular Spaces
• +۳ مورد دیگر

Zhining Liu is a Postdoctoral Research Fellow at the Center for Complex Geometry , affiliated with the Institute for Basic Science in Daejeon, Korea, from October 2022 to October 2024. Education PhD in Mathematics (2019-2022), supervised by Benoît Claudon and Andreas Höring at an unspecified institution. Master's Degree (2016-2019) at École normale supérieure. Research Interests Complex Geometry : Focus on singular spaces and non-negative canonical classes. Algebraic Geometry : Classification of algebraic varieties and singularities. Differential Geometry : Structural analysis of complex manifolds.