جست‌وجوی استاد و پژوهشگر

Stefan Petrov Ivanovمشاهده پروفایل

استاد

• Differential Geometry
• Quaternionic Geometry
• String Theory
• +۴ مورد دیگر

Stefan Petrov Ivanov is a Professor of Mathematics at the Department of Geometry, Faculty of Mathematics and Informatics, University of Sofia 'St. Kliment Ohridski'. He holds a Dr.Sci. (Doctor of Mathematical Sciences) from the same institution (2006) and has been a faculty member since 1988. His academic career includes significant collaborations through the European Differential Geometry Endeavour (EDGE) network and multiple visiting professorships at institutions including Humboldt University, University of Pennsylvania, and ICTP Trieste. Dr.Sci. (2006), University of Sofia Ph.D. (1987), University of Sofia (Thesis: Linear connections on a smooth manifold with structures) M.S. (1982) and B.S. (1980), University of Sofia Ivanov's research spans differential geometry with emphasis on quaternionic geometry, CR structures, and applications to string theory. His work on the quaternionic contact Yamabe problem represents a major contribution to geometric analysis. He has developed novel connections between exceptional holonomy manifolds, Dirac operators, and heterotic string compactifications, particularly focusing on non-Kähler solutions with fluxes and non-constant dilaton fields. His research integrates deep geometric insights with mathematical physics applications, especially in supersymmetric string backgrounds. Professor Ivanov has supervised 14 Master's dissertations and 5 Ph.D. theses, including prominent students like Bogdan Alexandrov and Ivan Minchev. His research has been supported by major grants including the EU EDGE network, NSF Bulgaria contracts (DO 02-257/2008, DID 02-39/2009), and collaborations with US institutions like the University of Pennsylvania and University of New Mexico. He serves as editor for Annals of Global Analysis and Geometry and has organized significant conferences including the Black Sea EDGE-Workshop (2003) and Geometric Structures in Mathematical Physics (2011).

Giulia Saccàمشاهده پروفایل

دانشیار

• Algebraic Geometry
• Hyper-Kähler Manifolds
• Calabi-Yau Manifolds
• +۴ مورد دیگر

Giulia Saccà is an Associate Professor in the Department of Mathematics at Columbia University. In Fall 2025 she will be on medical (maternity) leave. Previously, she spent 2019–2020 at the Collège de France, was an Assistant Professor at MIT (2017–2018), a J. H. Simons Instructor at Stony Brook University, and a Member of the School of Mathematics at the Institute for Advanced Study (IAS) in 2014–2015. Education: PhD, Princeton University, 2013 Research Interests lie in algebraic geometry, with a specific focus on hyper-Kähler and Calabi-Yau manifolds, K3 surfaces, moduli spaces of sheaves, families of abelian varieties and their degenerations, and symplectic resolutions. Her work intersects Hodge theory, derived categories, and enumerative aspects of these geometries. Her recent publications demonstrate a concentrated effort on understanding moduli spaces arising from Kuznetsov components, compactifications of Lagrangian fibrations, and the intricate geometry of O’Grady-type hyper-Kähler manifolds. A recurring theme is the interplay between derived categories and classical geometric constructions, often leveraging Bridgeland stability conditions and perverse sheaf techniques. Awards & Funding: NSF CAREER Award DMS-2144483 NSF FRG Grant DMS-2052750 “Derived Categories, Moduli Spaces, and Classical Algebraic Geometry” Member of the Simons Collaboration on Moduli of Varieties Previous NSF Grants DMS-1949812 and DMS-1801818 Graduate Advising & Service: Current PhD students: Anna Abasheva, Nicolás Vilches Reyes Organizer: Columbia Algebraic Geometry Seminar, FRG workshop “Hyperkähler Varieties, Derived Categories, and Moduli Spaces”, 2024 & 2025 GROW conferences, AMS Summer Research Institute 2025 session “Hyper-Kähler manifolds and derived categories” Former organizer: ZAG online seminar She maintains an active presence in the algebraic-geometry community through seminar organization, conference leadership, and collaborative grants that support graduate training and international workshops.

• Algebraic Geometry
• Mathematical Physics
• Hodge Theory
• +۴ مورد دیگر

Junliang Shen is an Assistant Professor of Mathematics at Yale University, transitioning to Associate Professor (with tenure) in 2025. His research focuses on algebraic geometry, particularly moduli spaces, Higgs bundles, cohomology theories, and the P=W conjecture. He previously served as a C.L.E. Moore Instructor at MIT (2018-2021) and earned his Ph.D. from ETH Zürich under Rahul Pandharipande. Education: Bachelor of Science (2009-2013), Peking University, Beijing, China Ph.D. in Mathematics (2013-2018), ETH Zürich, Switzerland Research Interests: Algebraic geometry with emphasis on Hodge theory, enumerative geometry, derived categories, and geometric representation theory. Notable contributions include work on the P=W conjecture for GL_n, hyper-Kähler varieties, and refined BPS invariants. Awards & Grants: SwissMAP Innovator Prize (2018) NSF Grants (DMS-2000726, DMS-2301474) Sloan Research Fellowship (2024-2026) David Mumford Best Paper Award (ICCM 2024) Seminars & Collaborations: Organizes the Yale Geometry, Symmetry, and Physics Seminar, and contributes to initiatives like the Informal Algebra and Geometry Seminar. Active in international conferences and bootcamps on algebraic geometry and geometric representation theory.

Ivan Minchev Minchevمشاهده پروفایل

دانشیار

• Differential Geometry
• Quaternionic Structures
• Contact Manifolds
• +۳ مورد دیگر

Ivan Minchev Minchev is an Associate Professor at the Faculty of Mathematics and Informatics, University of Sofia, specializing in differential geometry and quaternionic structures. He serves as Vice-dean for Bachelor's Degree Programs and Postgraduate Qualification in Geometry. His research focuses on geometric analysis, mathematical physics, and special geometries. Research Interests: Dr. Minchev's work centers on quaternionic contact manifolds, twistor spaces, and geometric PDEs. His collaborative studies with S. Ivanov, D. Vassilev, and Jan Slovák explore Einstein structures, Yamabe problems, and subelliptic equations on Heisenberg groups. Publication Trends: His publications (2004-2022) reveal a sustained focus on quaternionic geometry, twistor theory, and geometric inequalities. Key contributions include advancements in Yamabe equations, extremal Sobolev functions, and existence criteria for special geometric structures.

Colleen M Roblesمشاهده پروفایل

استاد

• Complex Geometry
• Hodge Theory
• Moduli of Algebraic Varieties
• +۳ مورد دیگر

Colleen M. Robles is a Professor of Mathematics at Duke University, affiliated with the Trinity College of Arts & Sciences. She holds a Ph.D. from the University of British Columbia (2003). Her research focuses on complex geometry, Hodge theory, and their applications to moduli spaces of algebraic varieties. Additionally, she explores formalization of mathematics using automated theorem-provers like Lean. Her current roles include serving as Assistant Director of the Rhodes Information Initiative at Duke. Key grants include NSF funding for projects on Hodge theory, geometric properties of period maps, and training in number theory. She has received the Marie Curie Fellowship (2022). Robles advises graduate students including Chongyao Chen and Panchali Nag, and mentors undergraduates in projects like the Math+ Program on automated theorem proving. Her service includes organizing conferences on Hodge theory and representation theory, and roles such as Director of Graduate Studies in Duke's Mathematics Department. Her teaching spans courses like Multivariable Calculus, Representation Theory, and formalization of mathematics using Lean. She actively contributes to professional activities, including invited talks at institutions worldwide and editorial roles in journals like Differential Geometry and its Applications .

• Differential Geometry
• Geometry and Topology
• Several Complex Variables and Analytic Spaces
• +۷ مورد دیگر

Oscar Macia Juan is an Associate Professor in the Department of Mathematics at the University of Valencia, affiliated with the Faculty of Mathematics. He is a member of the Geometric Analysis Group U.V. (GAGUV), focusing on advanced topics in differential geometry and mathematical physics. His research interests span Differential Geometry , Geometry and Topology , Several Complex Variables and Analytic Spaces , and their applications in Special Geometry , Supersymmetry , and Harmonic Mappings . His work bridges pure mathematics and theoretical physics, particularly in the context of supersymmetric field theories and supergravity. The recent publications highlight a consistent focus on geometric structures arising from theoretical physics, such as the c-map, quaternionic Kähler geometry, and harmonic mappings into quadrics. The research trend shows a deep engagement with moduli spaces, isometric embeddings, and the interplay between hyper-Kähler and quaternionic Kähler geometries, often in relation to supersymmetry. No scientific awards were mentioned in the provided texts. He earned his PhD from the University of Valencia in 2007 with a thesis on deformations and contractions in supersymmetric field theories and supergravity, supervised by Dr. María Antonia Lledó Barrena. There is no information available on students he may have advised or research grants he has led. Oscar Macia Juan is actively involved in research collaborations, with co-authors including Andrew Swann, Yasuyuki Nagatomo, and Sergio Ferrara, contributing to high-impact journals in geometry and mathematical physics.

Yasushi Hommaمشاهده پروفایل

استاد

• Geometry
• Basic analysis
• Spin geometry
• +۴ مورد دیگر

Yasushi Homma is a Professor in the Department of Mathematics at Waseda University's School of Fundamental Science and Engineering. He has held this position since 2012, following his promotion from Associate Professor (2007-2012). His academic career includes research positions at Tokyo University of Science and the Japan Society for the Promotion of Science. Homma earned his Doctor of Science degree from Waseda University, where he completed his doctoral, master's, and undergraduate studies in Mathematical Science. Homma's research focuses on advanced geometric structures, particularly spin geometry and differential geometry. His work explores spinor fields, Dirac operators, Clifford analysis, and Rarita-Schwinger fields on various manifolds. He investigates Weitzenböck formulas, spectral properties of geometric operators, and their applications to mathematical physics. His research bridges pure mathematics with theoretical physics, examining how geometric structures relate to physical phenomena. Analysis of his publication record reveals a consistent focus on spin geometry and related fields over two decades. His most recent work examines spinor and tensor fields with higher spin on spaces of constant curvature, spectra of the Rarita-Schwinger operator on symmetric spaces, and harmonic analysis on Grassmannians. The research demonstrates deep connections between representation theory, differential geometry, and mathematical physics, with applications to understanding fundamental geometric structures. Waseda University Teaching Awards 2017 Fall Semester Homma has secured multiple research grants from the Japan Society for the Promotion of Science, including projects on Spin Geometry and Clifford Analysis (2024-2029), New developments in spin geometry (2019-2023), and Study on identities for generalized gradients (2015-2018). His international collaborations include work with researchers from University of Stuttgart, University of Antwerp, and others. He teaches various mathematics courses including Linear Algebra, Geometry B1 (surface theory), Geometry B2 (theory of manifolds), and Advanced Geometry. As a member of the Mathematical Society of Japan Education Committee and various review committees for the Japan Society for the Promotion of Science, Homma contributes significantly to the mathematical community. His research laboratory at Waseda University focuses on advancing spin geometry with Rarita-Schwinger operators, exploring connections between geometric structures and physical theories.

• Number Theory
• Modular Forms
• Theta Lifts
• +۳ مورد دیگر

Dr. Paul Kiefer is a Researcher at the Department of Mathematics, University of Antwerp, under the supervision of Prof. Ignacio Barros. His research focuses on modular forms, theta lifts, and their applications to number theory and geometry. He is affiliated with the SFB/TR 358 'Integral Structures in Geometry and Representation Theory' at Bielefeld University, contributing to projects on lattices, theta lifts, and hyper-Kähler varieties. Recent research activities include organizing the conference 'Modular in Bielefeld' (June 2025), serving as a tutorial assistant for the Theta Summer School (July 2025), and presenting at the Siegel-Weil Summer School (September 2025). His work bridges algebraic geometry and analytic number theory, with a focus on automorphic forms and their arithmetic implications. Key publications explore Eisenstein series, Borcherds products, and Poisson summation formulas. Kiefer's articles often intersect harmonic analysis, L-functions, and spectral theory, reflecting his interdisciplinary approach to modern number theory challenges.

John Lesieutreمشاهده پروفایل

دانشیار

• Algebraic Geometry
• Algebraic Dynamics
• Automorphisms of Varieties
• +۳ مورد دیگر

John Lesieutre is an Associate Professor in the Department of Mathematics at Pennsylvania State University, affiliated with the Eberly College of Science. His research focuses on algebraic geometry and algebraic dynamics, particularly automorphisms of higher-dimensional varieties, height and degree growth under rational maps, and classical algebraic geometry. He holds a PhD from MIT (2014) and a BA from Harvard (2009). He has been recognized with prestigious awards, including the NSF CAREER Award (2022–2027) and the Alfred P. Sloan Research Fellowship (2019–2023). His work has been supported by grants such as the NSF Algebra and Number Theory Grant (2017–2021). Lesieutre advises several PhD students and has organized conferences like the McKernan 60th Birthday Conference (2024) and the Workshop on Higher Codimension Cycles (2016). He teaches advanced mathematics courses, including Algebraic Geometry II and Linear Algebra, and has received teaching awards including the Charles and Holly Housman Award (MIT, 2013). His research spans topics like birational geometry, dynamics on algebraic varieties, and automorphism groups, with over 15 publications in journals such as Inventiones Math and the Journal of Modern Dynamics. He actively participates in academic seminars and colloquia globally, contributing to the broader mathematical community through organizing workshops and serving on thesis committees.

Laura Fredricksonمشاهده پروفایل

استادیار

• Differential Geometry
• Mathematical Physics
• Algebraic Geometry
• +۳ مورد دیگر

Laura Fredrickson is an Assistant Professor in the Department of Mathematics at the University of Oregon within the College of Arts and Sciences. Her research focuses on differential geometry, mathematical physics, and algebraic geometry, particularly on hyper-Kähler manifolds, Higgs bundles, and moduli spaces. Research Interests: Hyper-Kähler Geometry Higgs Bundles Moduli Spaces Asymptotic Analysis Geometric Structures in String Theory Selected Article Trends: Her recent work explores the asymptotic geometry of moduli spaces, wild Higgs bundles, and connections to string theory and quantum field theory. She investigates conformal limits, nonabelian Hodge theory, and geometric correspondences between different mathematical frameworks.

• Algebraic Geometry
• Motives
• Hyper-Kähler Varieties
• +۵ مورد دیگر

Prof. Dr. Charles Vial is a Professor at the Faculty of Mathematics of Bielefeld University. He actively contributes to the Collaborative Research Center TRR 358, leading subprojects C01 (Hyper-Kähler Varieties and Moduli Spaces), C07 (Derived Splinters and Full Exceptional Collections), and C08 (Cohomological Structures of Hyper-Kähler Varieties). His work bridges algebraic geometry, motives, and representation theory. Research Interests include algebraic cycles, Chow motives, hyper-Kähler varieties, K3 surfaces, derived categories, and cohomological structures. He investigates the interplay between geometric objects and their algebraic representations, particularly focusing on filtrations, splinter properties, and universal domains. Scientific Contributions are evident in his recent publications (2025–2019), which explore diagonal decompositions, Fourier-Mukai equivalences, birational motives, and cohomological conjectures. His work spans topics like the generalized Franchetta conjecture, zero-cycle analysis, and motivic Torelli theorems, often collaborating with researchers such as Jeffrey Achter, Lie Fu, and Sebastian Casalaina-Martin. Projects involve international collaborations under the TRR 358 initiative, aiming to resolve conjectures related to derived splinters, exceptional collections, and hyper-Kähler moduli spaces. His research is funded by the German Research Foundation .

Andrew Harderمشاهده پروفایل

دانشیار

• Algebraic Geometry
• Hodge Theory
• Calabi-Yau Varieties
• +۵ مورد دیگر

Andrew Harder is an Associate Professor in the Department of Mathematics at Lehigh University. He specializes in algebraic geometry with strong connections to Hodge theory, mathematical physics, and symplectic geometry. Before joining Lehigh in 2019, he held a postdoctoral position at the University of Miami as part of the Simons Collaboration in Homological Mirror Symmetry. Education: Ph.D. in Mathematics, University of Alberta (2016) M.Sc. in Mathematics, Queen’s University (2011) B.Sc. in Mathematics, Queen’s University (2009) Research focuses on advanced topics including: Applications of mirror symmetry to Calabi-Yau varieties Hodge-theoretic analysis of Landau-Ginzburg models Interactions between holomorphic symplectic geometry and tropical geometry Connections between Feynman integrals and algebraic periods Recent work explores modular properties of Landau-Ginzburg models, motivic geometry of Feynman integrals, and P=W phenomena in hyper-Kähler manifolds. His research bridges pure mathematics with theoretical physics through geometric frameworks. Teaching includes advanced courses like Topics in Algebraic Geometry and graduate-level algebraic structures. Active in mentoring through graduate seminars and advising on thesis projects.

• Number Theory
• Algebraic Geometry
• Representation Theory
• +۳ مورد دیگر

Dr. Annika Burmester is a Researcher affiliated with the Faculty of Mathematics at Bielefeld University. Her primary role involves advancing research within the Department of Mathematics, focusing on algebraic structures and number theory. She is an active member of the Collaborative Research Centre/Transregio 358 (SFB/TRR 358) 'Integral Structures in Geometry and Representation Theory', contributing to projects A1 and C1 which explore lattice structures, hyper-Kähler varieties, and moduli spaces. Her research interests bridge multiple areas including Number Theory, Algebraic Geometry, and Representation Theory, with particular emphasis on multiple zeta values, Eisenstein series, and q-series. Dr. Burmester’s work often intersects combinatorial algebra and modular forms, addressing foundational questions in these fields through innovative analytical and algebraic techniques. Her publications since 2020 reflect a deep engagement with formal zeta values, q-analogues, and their applications in understanding deeper algebraic structures. While no specific awards are listed, her involvement in high-profile SFB/TRR projects underscores her contributions to collaborative interdisciplinary research. Dr. Burmester collaborates within the university’s vibrant mathematical community, leveraging the Faculty of Mathematics’ strengths in theoretical and applied research. Her office is located in UHG V5-205, and she can be reached via annika.burmester@math.uni-bielefeld.de.

• Algebraic Geometry
• Hyper-Kähler Varieties
• Algebraic Cycles
• +۳ مورد دیگر

Salvatore Floccari is a researcher affiliated with the Faculty of Mathematics at Bielefeld University. His research activities are centered within the SFB/TR 358 'Integral Structures in Geometry and Representation Theory' , specifically contributing to projects C1 and C8 focusing on hyper-Kähler varieties and cohomological structures. Though his official research profile remains unpopulated, his publication record reveals a specialization in algebraic geometry, particularly the study of hyper-Kähler varieties, motives, and conjectures related to Hodge and Tate theories. His work intersects advanced topics such as algebraic cycles, cohomology, and K3 surfaces, with applications to number theory and arithmetic geometry. Collaborations within the SFB/TR framework highlight interdisciplinary approaches to geometric structures and representation theory. Floccari’s publications reflect a strong theoretical foundation, addressing questions central to modern algebraic geometry and its arithmetic implications. No academic awards or grants are explicitly mentioned in the provided data. His professional contributions are primarily through research output and participation in structured research initiatives at Bielefeld University.

• Algebraic Geometry
• Representation Theory
• Hyper-Kähler Varieties
• +۳ مورد دیگر

Dr. Pablo Magni is affiliated with the Faculty of Mathematics at the University of Bielefeld. He is a core member of the Transregio 358 'Integral Structures in Geometry and Representation Theory' , contributing to projects C1 (Hyper-Kähler Varieties and Moduli Spaces), C7 (Derived-splinters and full exceptional collections), and C8 (Cohomological structures of hyper-Kähler varieties). His research focuses on advanced geometric and algebraic structures, with a particular emphasis on hyper-Kähler manifolds and their cohomological properties. He holds an office in room V3-234 of the University Hub (UHG) and can be reached via email at pablo.magni@math.uni-bielefeld.de . His work intersects with interdisciplinary initiatives in mathematics and geometry, reflecting the university's strategic research areas in the Mathematical World.