جستجوی استاد راهنمای دانشگاهی

Tim Browningمشاهده پروفایل

استاد

• Number Theory
• Analytic Number Theory
• Diophantine Geometry
• +۴ مورد دیگر

Tim Browning is a Professor of Number Theory at the Institute of Science and Technology Austria (IST Austria). He leads the Browning Group, focusing on analytic number theory and its interfaces with algebraic geometry. His research addresses Diophantine equations, rational points on algebraic varieties, and the distribution of arithmetic objects. He organizes the Algebraic Geometry & Number Theory Seminar and the Women in Math Day. Previously, he held roles at the University of Bristol and University of Oxford. He has authored over 100 publications and received accolades including the Ferran Sunyer i Balaguer Prize and an ERC Starting Grant. His group includes PhD students and postdocs working on topics like rational points, sieve methods, and arithmetic statistics. Education: PhD in Mathematics, University of Oxford (2002) Postdoctoral Fellowships at University of Oxford and Université de Paris-Sud Research Interests: Analytic and arithmetic methods in number theory, Diophantine geometry, rational points on varieties, circle method, sieve theory, and arithmetic statistics. His work often combines geometric and analytic techniques, such as the circle method and algebraic geometry to solve problems like Manin's conjecture and the distribution of solutions to polynomial equations. Grants & Leadership: ERC Starting Grant (2012) Serves on editorial boards of journals like Compositio Mathematica and Commentarii Mathematici Helvetici Organizes international conferences and workshops Labs/Teams: Leads the Browning Group at IST Austria, which includes postdocs and PhD students working on number theory and algebraic geometry. Collaborates with researchers globally on topics like the arithmetic of Fano varieties and rational curves.

Michael J. Schlosserمشاهده پروفایل

استاد

• Combinatorics
• Number Theory
• Special Functions
• +۳ مورد دیگر

Michael J. Schlosser is a faculty member at the Faculty of Mathematics , University of Vienna. His research focuses on combinatorics, number theory, and special functions, with a particular emphasis on hypergeometric and q-series, elliptic extensions, and rook theory. He has authored numerous publications in collaboration with prominent mathematicians such as Victor Guo, Meesue Yoo, and Christian Krattenthaler. Research Interests : Combinatorics and hypergeometric series Elliptic functions and their applications Partition theory and supercongruences Matrix inversions and determinant evaluations Students : Josef Küstner (Ph.D., 2022) Christian Stump (Ph.D., 2008) Editorial Roles : Associate Editor, Journal of Mathematical Analysis and Applications Editorial Board Member, The Ramanujan Journal Editorial Board Member, Journal of Algebraic Combinatorics

Anton Mellitمشاهده پروفایل

دانشیار

• Algebraic Geometry
• Enumerative Geometry
• Representation Theory
• +۴ مورد دیگر

Anton Mellit is an Associate Professor in the Faculty of Mathematics at the University of Vienna. He holds a Doctor of Natural Sciences from the University of Bonn (2008) and completed postdoctoral positions at institutions including the Hausdorff Center for Mathematics (Bonn), Scuola Internazionale Superiore di Studi Avanzati (Trieste), and the Institute of Science and Technology Austria (Klosterneuburg). His research focuses on algebraic geometry, enumerative geometry, and their connections to representation theory, combinatorics, and number theory, with particular emphasis on moduli spaces, categorification, and character varieties. Education: Doctor of Natural Sciences (2008), University of Bonn Master in Applied Mathematics (2004), National Technical University of Ukraine Bachelor in Applied Mathematics (2002), National Technical University of Ukraine Research Interests: Investigates Poincaré polynomials of moduli spaces, Higgs bundles, and character varieties Studies Khovanov-Rozansky homology and torus knots Explores connections between Macdonald polynomials and affine Springer fibers Develops combinatorial approaches to algebraic geometry via Hilbert schemes and categorification Grants & Projects: ERC Consolidator Grant: Macdonald polynomials and related structures in geometry FWF Standalone Project: Refined invariants in combinatorics, low-dimensional topology, and geometry of moduli spaces Labs/Teams: Collaborates with researchers in geometric representation theory, quantum cohomology, and algebraic combinatorics, including notable co-authors like Erik Carlsson, Eugene Gorsky, and Maxim Smirnov.

• Discrete Geometry
• Polytope Theory
• Algebraic Combinatorics
• +۱۱ مورد دیگر

Cesar Ceballos Lopez is an Assistant Professor at the Institute of Geometry, Technische Universität Graz (TU Graz), where he leads the Discrete Geometry and Algebraic Combinatorics Group . He previously held postdoctoral and visitor positions at Freie Universität Berlin, York University, the Fields Institute, and the University of Vienna, where he completed his habilitation in 2020. His academic journey began with a PhD in Discrete Geometry under Günter Ziegler at Freie Universität Berlin (2012). Education: PhD in Mathematics, Freie Universität Berlin (2012), Supervisor: Günter Ziegler Habilitation, University of Vienna (2020), TU Graz (2021) Master's in Mathematics, Universidad de los Andes (2008), Universiteit Utrecht (2009) Bachelor's in Mathematics, Universidad del Valle (2006) His research spans Discrete Geometry , Algebraic Combinatorics , and Representation Theory , with a focus on geometric structures like associahedra , subword complexes , and cluster algebras . His work connects these objects to Hopf algebras , diagonal harmonics , and tropical geometry . Recent publications explore ν-associahedra, s-permutahedra, and combinatorial reciprocity theorems. Scientific awards include the FWF Stand Alone Project Grant (2021–2025), Banting Postdoctoral Fellowship (2013–2015), and the Elsevier Mathematical Sciences Sponsorship Fund (2018). He organizes seminars such as the Combinatorics Working Seminar at the University of Vienna and contributes to academic communities through conference organization and talks.

• Theory of Partitions
• Modular Forms
• q-Series
• +۳ مورد دیگر

Koustav Banerjee is a Researcher at the Research Institute for Symbolic Computation (RISC) of Johannes Kepler University (JKU Linz). He holds a PhD in Mathematics (2022) from RISC, JKU, focusing on analytic number theory and partition function analysis. His primary research areas include Theory of Partitions, Modular Forms, q-Series, Combinatorics, and Mathematical Analysis. His work addresses asymptotic expansions, inequalities, and combinatorial proofs related to partitions, Bessel functions, and modular forms. Notable contributions include error bounds for partition function asymptotics, proofs of Chen's conjectures on partition inequalities, and applications of the localization method to congruence families. Publications highlight his expertise in bridging analytic methods with symbolic computation. Recent articles explore partition function inequalities, Bessel function properties, and combinatorial structures like plane partitions and hook-type tableaux. His research often intersects algebraic geometry and discrete mathematics, yielding results with implications in theoretical physics and computer algebra systems. Affiliated with RISC since his PostDoc tenure, he collaborates on technical reports and publishes in journals like Rocky Mountain Journal of Mathematics , European Journal of Combinatorics , and Annals of Combinatorics . His work emphasizes rigorous mathematical proofs and computational verification in number theory.

Bárány Imreمشاهده پروفایل

استاد پژوهش

• Discrete Geometry
• Combinatorics
• Convex Geometry
• +۷ مورد دیگر

Imre Bárány is a Research Professor at the Alfréd Rényi Institute of Mathematics, Hungarian Academy of Sciences, and holds the Astor Professor of Pure Mathematics position at University College London (half-time). His career spans over four decades with visiting roles at Yale University, MSRI, Microsoft Research, and others. Bárány graduated from Eötvös University (1971), earned his PhD (1982) and Doctor of Sciences (1993) from the Hungarian Academy of Sciences, and became a member of the Hungarian Academy of Sciences in 2010. His research interests include discrete geometry, combinatorics, convexity, algebraic topology, and their applications in computer science and operations research. Key areas of focus are random polytopes, lattice points, Helly-type theorems, and geometric optimization. Bárány’s recent work, such as his 2020 paper on Carathéodory-Helly-Tverberg theorems and 2016 analysis of curve-hyperplane interactions, showcases advancements in geometric combinatorics. Over 170 publications span journals like Discrete & Computational Geometry and Annals of Probability. Awards: Rényi Prize (1988), Hungarian Academy Prize (1998), ERC Advanced Grant (2011), AMS Fellow (2012), Szechenyi Prize (2016). Grants & Leadership: Led the ERC-funded 'Discrete and Convex Geometry' project. Editorial roles include Discrete & Computational Geometry (since 1991) and Combinatorica (Editor-in-Chief since 2020).

Maxim Kontsevichمشاهده پروفایل

استاد

• Mathematics
• Quantum Field Theory
• Algebraic Geometry
• +۵ مورد دیگر

Maxim Kontsevich is a Permanent Professor at the Institut des Hautes Études Scientifiques (IHÉS) since 1995. He has held visiting positions at institutions including the University of California at Berkeley (1993-1995), Harvard University (1991-1992), and the Max-Planck-Institut für Mathematik (1993-1994). His work bridges mathematics, physics, and geometry, with a focus on string theory, quantum field theory, and non-commutative geometry. His research spans topics such as homological mirror symmetry, deformation quantization, and motivic Donaldson-Thomas invariants. Recent publications include groundbreaking work on WDVV equations, non-archimedean analytic spaces, and the interplay between algebraic geometry and quantum field theory. Fields Medal (1998) Henri Poincaré Prize (1997) Crafoord Prize (2008) Shaw Prize in Mathematical Sciences (2012) Fundamental Physics Prize (2012)

Andrew Kreschمشاهده پروفایل

استاد

• Rationality problems
• Algebraic geometry
• Brauer groups

Andrew Kresch is a Full Professor of Mathematics at the University of Zurich , holding an ordinary membership in the Academy of Europe since 2024. His academic career spans institutions including the University of Warwick and University of Pennsylvania. Ph.D. in Mathematics (University of Chicago, 1998) B.S./M.S. in Mathematics (Yale University, 1993) His research focuses on Algebraic Geometry , particularly: Rationality problems in algebraic varieties Brauer groups and their applications Intersection theory on algebraic stacks Quantum cohomology of Grassmannians Recent publications highlight his work on stable rationality in threefolds, equivariant birational invariants, and quantum Schubert calculus. Key themes include algebraic stacks, geometric invariant theory, and enumerative geometry. Scientific awards: Humboldt Research Fellowship (2006) EPSRC Advanced Research Fellowship (2003-2006) He has collaborated extensively with mathematicians including Brendan Hassett, Yuri Tschinkel, and Harry Tamvakis on foundational problems in algebraic geometry and related fields.

Daniel Huybrechtsمشاهده پروفایل

استاد

• Algebraic Geometry
• Derived Categories
• K3 Surfaces
• +۴ مورد دیگر

Daniel Huybrechts is a Professor at the University of Bonn, specializing in Algebraic Geometry. His work focuses on derived categories of algebraic varieties, particularly K3 surfaces and hyperkähler manifolds, and their connections to stability conditions, moduli spaces, and Fourier-Mukai transforms. Education: Diplom in Mathematics (Humboldt University Berlin), PhD (Max-Planck-Institute Bonn & Humboldt University Berlin), Habilitation (University Essen) Prior Positions: Professor at University of Cologne (C3), Paris 7 (Professeur), Ecole Polytechnique Paris (Professeur chargé de cours), Assistant Professor at University GH Essen His research explores the geometry of moduli spaces, Chow groups, and categorical structures in algebraic geometry. He has received the Marie-Curie Fellowship and was a speaker at the International Congress of Mathematicians 2010. Grants: Marie-Curie Fellowship (1997-98), EPSRC (Oxford, 2010-11), Leverhulme Grant (Imperial College London, 2007), String theory activity (Institut Henri Poincaré Paris, 2000) He has supervised 12 PhD students and authored influential books including Lectures on K3 Surfaces (Cambridge, 2016) and Fourier-Mukai Transforms in Algebraic Geometry (Oxford, 2006).

Christian Krattenthalerمشاهده پروفایل

استاد

• Enumerative Combinatorics
• Algebraic Combinatorics
• Hypergeometric Series
• +۳ مورد دیگر

Christian Krattenthaler is a retired Professor at the University of Vienna's Faculty of Mathematics, specializing in combinatorics and algebraic combinatorics. He is a member of the combinatorics group and co-leads the Arbeitsgemeinschaft für Diskrete Mathematik. His research focuses on enumerative combinatorics, hypergeometric series, and number theory, with notable contributions to lattice path enumeration, determinants, and tilings. He has developed Mathematica packages like HYP, HYPQ, and RATE for hypergeometric series manipulation and sequence guessing. Krattenthaler is an editor for journals such as the Séminaire Lotharingien de Combinatoire, Electronic Journal of Combinatorics, and Annales de l’Institut Henri Poincaré D. His work includes advancements in Pfaffian rings, Schubert varieties multiplicities, and combinatorial identities. Collaborations span across institutions like TU Wien and TU Graz within the Special Research Programme (SFB) on Discrete Random Structures. He has advised numerous students, though specific advisee names are not listed here.

Georg Graseggerمشاهده پروفایل

پژوهشگر

• Rigidity Theory
• Symbolic Computation
• Algebraic Geometry
• +۳ مورد دیگر

Georg Grasegger is a Researcher in the Symbolic Computation group at the Johann Radon Institute for Computational and Applied Mathematics (RICAM), Austrian Academy of Sciences. His work focuses on rigidity theory, algebraic geometry, and symbolic computation with applications to combinatorial and geometric structures. Research interests include rigidity of graphs and frameworks, algebraic differential equations, and geometric configurations. Recent work explores paradoxical motions of graphs, flexible polyhedra, and counting realizations of rigid structures using algebraic methods. Publications highlight contributions to graph rigidity, computational geometry, and algebraic combinatorics, with a focus on theoretical foundations and algorithmic approaches. His research bridges discrete mathematics and applied algebraic geometry. Contributions include software tools like FlexRiLoG for studying graph motions and RigiComp for computational rigidity analysis. No notable awards are listed, though his work is widely cited in combinatorial geometry and symbolic computation fields. Labs/Teams: Active in RICAM's Symbolic Computation group, collaborating with institutions on geometric and algebraic problems. Supervises research projects on rigidity and discrete structures.

Piene Ragniمشاهده پروفایل

استاد

• Algebraic Geometry
• Enumerative Geometry
• Intersection Theory
• +۵ مورد دیگر

Ragni Piene is a Professor of Mathematics at the University of Oslo, affiliated with the Department of Mathematics within the Faculty of Mathematics and Natural Sciences. She has held this position since 1987, preceded by an Associate Professorship from 1979 to 1986. Her research focuses on algebraic geometry, including enumerative geometry, singularity theory, moduli spaces, and applications to computer-aided geometric design. She has held visiting positions at prestigious institutions such as MIT, MSRI, and École Normale Supérieure. Education: PhD in Mathematics from MIT (1976), M.Sc. from University of Oslo (1972), and D.E.A. from Université de Paris (1970). Her academic leadership roles include Chair of the Abel Committee (2010–2014) and membership in the Executive Committee of the International Mathematical Union (IMU). She is a Fellow of the American Mathematical Society and a member of several distinguished academies, including the Norwegian Academy of Science and Letters. Her research interests span algebraic geometry with a focus on geometric structures like toric varieties, Hilbert schemes, and real algebraic curves. Recent publications explore topics such as polypols, evolute curves, and toric duality, reflecting her contributions to both theoretical and applied aspects of geometry. Awards and honors include recognition for her leadership in mathematics and her scholarly contributions, including the Abel Committee chairmanship and membership in Academia Europaea. She has advised numerous projects and serves on editorial boards and scientific committees globally.

Rahul Pandharipandeمشاهده پروفایل

استاد

• Algebraic Geometry
• Enumerative Geometry
• Mathematical Aspects of String Theory
• +۳ مورد دیگر

Rahul Pandharipande is a Professor at the Department of Mathematics, ETH Zürich, and has held prominent positions including Director of the Institute for Theoretical Studies since 2019. His research spans Algebraic Geometry, Enumerative Geometry, and Mathematical Aspects of String Theory, with a focus on moduli spaces, Gromov-Witten theory, and Donaldson-Thomas theory. Education: A.B. in Mathematics, Princeton University (1990); Ph.D. in Mathematics, Harvard University (1994). His work explores the intersection of mathematics and theoretical physics, particularly in enumerative geometry, moduli spaces, and their applications to string theory. He has received multiple accolades, including the Infosys Prize, Clay Research Prize, and two ERC Advanced Grants. Key publication trends highlight his contributions to Gromov-Witten theory, Donaldson-Thomas theory, and moduli spaces of curves, with collaborations across institutions in the U.S. and Europe. He serves on prestigious committees, including the Abel Prize committee, and contributes to editorial boards of leading journals. Scientific Awards: Infosys Prize for Mathematics (2013), Clay Research Prize (2013), Compositio Prize (2010), ERC Advanced Grants (2013-2018, 2018-), Einstein Visiting Fellow (2015-2019), Packard Fellowship (2000-2005), Sloan Fellowship (1999-2003), Gulbenkian Foundation Fellowship (2010-2011). Rahul is actively involved in mentoring graduate students and postdocs, with a research group focused on algebraic geometry and related fields. He organizes international conferences and seminars, including the Helvetic Algebraic Geometry Seminar, and leads the intercontinental moduli seminar via Zoominar.

Ragni Pieneمشاهده پروفایل

استاد

• Algebraic geometry
• Enumerative geometry
• Intersection theory
• +۵ مورد دیگر

Ragni Piene is a Professor at the University of Oslo, affiliated with the Faculty of Mathematics and Natural Sciences. Her career spans decades of contributions to algebraic geometry and related fields. Education: Ph.D. from MIT (1976), M.Sc. and D.E.A. from the University of Oslo and Université de Paris (Orsay). Visiting Positions: Held at Institut Mittag-Lefler, MSRI Berkeley, École Normale Supérieure Paris, Harvard University, Université Grenoble, IHES Paris, Ecole Polytechnique Paris, and MIT. Research Interests: Focus on algebraic geometry, particularly enumerative geometry and intersection theory, singularity theory, moduli spaces, Hilbert schemes, toric varieties, and algebraic methods in computer-aided geometric design. Scientific Leadership & Awards: Chair of the Abel Committee (2010–2014), Fellow of the American Mathematical Society (2012), and memberships in prestigious academies including Academia Europaea (2012) and the Norwegian Academy of Science and Letters (1994). Committee Roles: Extensive service on international boards like the Executive Committee of IMU (2003–2010), Scientific Advisory Board of RICAM (2012–), Orientation Council of INSMI (2011–), and editorial boards of Communications in Algebra and Astérisque .

Philipp Sprüsselمشاهده پروفایل

مدرس ارشد

• Random Graphs
• Enumerative Combinatorics
• Phase Transitions
• +۳ مورد دیگر

Philipp Sprüssel is a Senior Lecturer at Graz University of Technology's Institute of Discrete Mathematics. His research focuses on Random Graphs , Enumerative Combinatorics , and Phase Transitions , with particular emphasis on graphs on surfaces, hypergraphs, and simplicial complexes. He has organized conferences like the Random Structures and Algorithms and contributed to workshops on enumerative combinatorics and phase transitions. His academic career includes roles as a Postdoctoral Researcher at the University of Haifa and the University of Oxford, and a DAAD-funded position at the University of Hamburg. He holds a PhD from the University of Hamburg (2010). Teaching responsibilities span courses in Analytic Combinatorics , Discrete Mathematics , and Mathematics for Engineering , with recent activities in 2023. Research grants include an FWF-funded project on graphs on surfaces. Key contributions include studies on cohomology groups of random simplicial complexes, phase transitions in graph evolution, and symmetry characterization of unlabelled triangulations. His Erdős number is 2.