جست‌وجوی استاد و پژوهشگر

Don Zagierمشاهده پروفایل

استاد

• Number Theory
• Algebraic Geometry
• Modular Forms
• +۳ مورد دیگر

Don Zagier is a distinguished mathematician holding positions as Scientific Member and former Director at the Max Planck Institute for Mathematics in Bonn. He has been a Professor at the University of Bonn, University of Maryland, Kyushu University, University of Utrecht, and Collège de France. His work bridges number theory, algebraic geometry, topology, and mathematical physics. Born in 1951, he studied at MIT (1966–1968), earned a D.Phil. from Oxford (1971), and completed his habilitation at Bonn (1975). He has held roles in the Sonderforschungsbereich (SFB) Theoretische Mathematik, served as ICTP Distinguished Staff Associate since 2014, and is an Honorary Member of the London Mathematical Society (2019). Research interests include modular forms, zeta functions, quantum invariants, and algebraic geometry. Notable works include studies on the Birch-Swinnerton-Dyer conjecture, polylogarithms, and the theory of Jacobi forms. His contributions span over 200 publications, including foundational texts like Zetafunktionen und quadratische Körper (1981) and co-edited volumes on modular forms. His awards include the Carus Prize (1984), Frank Nelson Cole Prize (1987), and Karl Georg Christian von Staudt Prize (2001). Research trends in his articles focus on modular forms, knot theory, quantum topology, and the interplay between number theory and geometry. Grants and collaborations are extensive, though specifics remain unspecified. He leads research at the MPI and contributes to global mathematical communities through educational initiatives and editorial roles in journals like Communications in Number Theory and Physics .

• Real Algebraic Geometry
• Convex Algebraic Geometry
• Sum of Squares
• +۳ مورد دیگر

Rainer Sinn is a University Professor (on leave) at Leipzig University, specializing in Applied Algebra within mathematics. His research centers on real algebraic geometry, convex optimization, and sums of squares, with significant contributions to spectrahedra, amplituhedra, and nonnegativity certificates. His primary research interests include real algebraic geometry (focusing on nonnegative polynomials and quadratic forms), convex algebraic geometry (studying convex hulls of algebraic varieties), and combinatorial applications in optimization. He explores geometric structures like amplituhedra in theoretical physics and investigates algebraic solutions to optimization problems. Recent publications (2022-2025) demonstrate a cohesive focus on algebraic approaches to optimization, with recurring themes in nonnegativity certificates, tropical geometry, and combinatorial aspects of algebraic varieties. His German-language works also address the philosophy and public understanding of mathematics, highlighting interdisciplinary impact. No scientific awards were documented in the provided sources. Details regarding academic advising, research grants, laboratories, or collaborative teams were not specified in the available information.

• Combinatorics
• Algebraic Combinatorics
• Log-Concave Polynomials
• +۱۳ مورد دیگر

Jonathan Leake is an Assistant Professor in the Department of Combinatorics and Optimization at the University of Waterloo. His research lies at the intersection of combinatorics, optimization, and theoretical computer science, with a focus on log-concave and Lorentzian polynomials and their applications in discrete and continuous settings. Assistant Professor, University of Waterloo (2022–present) Dirichlet Postdoctoral Fellow, TU Berlin (2020–2022) Postdoctoral Fellow, Institut Mittag-Leffler, Stockholm (Spring 2020) Postdoctoral Fellow, KTH, Stockholm (Fall 2019) James H. Simons Fellow, Simons Institute, UC Berkeley (Spring 2019) His research explores the deep connections between algebraic structures and combinatorial phenomena, particularly through polynomial capacity and Lorentzian polynomials. He applies these tools to problems in optimization, sampling, and representation theory. His work often involves developing new algebraic and analytic techniques to tackle longstanding conjectures and algorithmic challenges. The recent publications highlight a consistent focus on Lorentzian polynomials, capacity bounds, and their applications in combinatorics, optimization, and theoretical computer science. Key themes include matroid theory, log-concavity, sampling algorithms, volume approximation, and connections to Lie theory and representation theory. The research spans both theoretical developments and algorithmic applications, often in collaboration with leading researchers in the field. Dirichlet Postdoctoral Fellowship, TU Berlin Postdoc Fellowship in Algebraic and Enumerative Combinatorics, Institut Mittag-Leffler James H. Simons Fellowship, Simons Institute, UC Berkeley Jonathan Leake has advised or collaborated with several researchers, though formal advisees are not listed in the provided text. His work has been supported by prestigious fellowships and collaborations with institutions such as the Simons Institute and TU Berlin. He has taught courses including CO 250: Introduction to Optimization, MATH 239: Introduction to Combinatorics, and CO 739: Lorentzian Polynomials at the University of Waterloo and TU Berlin. While specific lab or research group names are not mentioned, Leake's collaborative work with researchers like Petter Brändén, Nisheeth Vishnoi, and Leonid Gurvits suggests active participation in research teams focused on algebraic combinatorics, optimization, and theoretical computer science. His publicly shared code for sampling from HCIZ densities and verifying positivity in Lie-theoretic contexts indicates an active computational research component.

• Zeta Functions
• Group Theory
• Representation Theory
• +۴ مورد دیگر

Prof. Dr. Christopher Voll is a full Professor at the Faculty of Mathematics, Bielefeld University , Germany. He leads multiple subprojects in the Transregional Collaborative Research Center TRR 358 'Integral Structures in Geometry and Representation Theory' , including A1 (lattices), A4 (Euler products), and A6 (quiver zeta functions). His research bridges algebra, number theory, and combinatorics through zeta functions, subgroup growth, and representation theory.

Bernd Sturmfelsمشاهده پروفایل

استاد

• Algebraic Geometry
• Combinatorics
• Commutative Algebra
• +۴ مورد دیگر

Bernd Sturmfels is a leading mathematician serving as Director of the Max Planck Institute for Mathematics in the Sciences in Leipzig since 2017. He is also Professor Emeritus of Mathematics, Statistics, and Computer Science at the University of California, Berkeley, and holds honorary professorships at the Technical University of Berlin and the University of Leipzig. His research bridges pure and applied mathematics, with foundational contributions to algebraic geometry, combinatorics, and computational biology. Education: Sturmfels earned dual Ph.D. degrees in 1987 from the University of Washington and Technische Universität Darmstadt, followed by an honorary doctorate from Goethe University Frankfurt in 2015 and additional honorary doctorates from the University of Bern (2023) and the University of Chicago (2024). Research Interests: His work spans algebraic geometry , combinatorics , commutative algebra , algebraic statistics , convex optimization , and computational biology . He explores deep connections between abstract algebraic structures and practical applications in statistics, optimization, and the life sciences. Publications and Trends: With over 300 research articles and 11 books, his recent work (2022–2025) focuses on advanced topics like Grassmannian geometry, tropical implicitization, quantum chemistry applications, and algebraic statistics. His research increasingly integrates computational methods with theoretical insights, addressing problems in machine learning, phylogenetics, and optimization. Awards and Honors: Sturmfels has received numerous prestigious awards, including: George David Birkhoff Prize in Applied Mathematics (2018) SIAM von Neumann Lecturership (2010) Humboldt Senior Research Prize (2007–2008) David and Lucile Packard Fellowship (1992–1997) Fellowships of the AMS and SIAM Membership in the Berlin-Brandenburg Academy of Sciences and Humanities Mentoring and Grants: He has supervised 60 doctoral students and numerous postdocs, with many securing positions at leading institutions. His mentoring philosophy emphasizes diversity and excellence, as highlighted in his Notices of the AMS article. Funding sources include the NSF, DARPA, and the German National Science Foundation (DFG). Labs and Teams: At the Max Planck Institute, he leads the Nonlinear Algebra group, fostering interdisciplinary collaboration between mathematics and the sciences. His team focuses on developing algebraic methods for data analysis, optimization, and theoretical physics.

• Algebraic Combinatorics
• Geometric Combinatorics
• Hyperplane Arrangements
• +۴ مورد دیگر

Galen Dorpalen-Barry is an Assistant Professor at Texas A&M University. Her research focuses on geometric and algebraic combinatorics, particularly hyperplane arrangements, oriented matroids, polytopes, posets, and related fields. Education: PhD in Mathematics (University of Minnesota, 2021) Masters in Mathematics (University of Minnesota, 2018) Bachelor of Arts in Mathematics (Bard College, 2015) Her recent research explores the topology of hyperplane arrangement complements, cohomology of graphical configuration spaces, and combinatorial interpretations of the ab-index. She collaborates with researchers including Nick Proudfoot, Christian Stump, and Vic Reiner. Galen has organized multiple seminars and conferences, including the Algebra and Combinatorics Seminar at Texas A&M and special sessions at SIAM and AMS meetings. She has presented at numerous international workshops and seminars on topics like positive geometries, Shi arrangements, and the Varchenko-Gel'fand ring. Contact: dorpalen-barry@tamu.edu | Website | GitHub

Sabrina Pauliمشاهده پروفایل

استاد

• Algebraic Geometry
• Tropical Geometry
• Homotopy Theory
• +۳ مورد دیگر

Prof. Sabrina Pauli is a Professor in the Department of Mathematics at TU Darmstadt. Her research focuses on advanced topics in algebraic geometry, tropical geometry, homotopy theory, and enumerative geometry. She has contributed to the development of equivariant parametrized cohomology and quadratic enrichment techniques in tropical curve counting. Her work often bridges theoretical concepts with computational methods, as seen in her studies using Macaulay2 software for A1-Euler number computations. Her recent research emphasizes arithmetic counts of tropical plane curves and their properties, as well as explorations in motivic enumerative geometry. She has published extensively on topics such as Bézoutians, 𝔸1-degrees, and applications of A1-homotopy theory to geometric problems. Her findings have advanced understanding of intersection theory, moduli spaces, and geometric combinatorics. No scientific awards or grants are explicitly mentioned in the provided data. Sabrina Pauli collaborates actively on projects involving both pure and applied aspects of geometry, contributing to both foundational theory and computational tools.

Gavril Farkasمشاهده پروفایل

استاد

• Algebraic Geometry
• Moduli Spaces
• Curves
• +۷ مورد دیگر

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.

• Algebraic Combinatorics
• Matroid Theory
• Polytopes
• +۳ مورد دیگر

Luis Ferroni is a Tenure-track Assistant Professor in the Department of Mathematics at Università di Pisa since April 2025. He concurrently holds a Postdoctoral Member position at the Institute for Advanced Study (IAS) in Princeton, New Jersey, under the mentorship of June Huh. Previously, he was a Postdoctoral Researcher at KTH Royal Institute of Technology (2022–2024) and earned his PhD in Mathematics from the University of Bologna (2018–2021), advised by Luca Moci. His Licentiate Degree in Mathematics was obtained from the Universidad Nacional de Córdoba (2013–2018). His research focuses on Algebraic Combinatorics , Matroid Theory , Polytopes , and Ehrhart Theory . Notable contributions include work on Ehrhart positivity, Kazhdan-Lusztig polynomials of matroids, and the Merino-Welsh conjecture. His research bridges combinatorial geometry, algebraic structures, and discrete mathematics. Ferroni has been awarded prestigious honors such as the Premio INdAM-UMI-SIMAI 2023 (for his PhD thesis on matroid polytopes), the Premio Mario Baldassarri 2023 (for his article on matroid non-Ehrhart positivity), and the Michele Cuozzo Prize 2022 for his thesis. He is also recognized for academic excellence during his undergraduate studies, including multiple top rankings at the Universidad Nacional de Córdoba. His teaching experience spans roles as a Teaching Assistant (TA) and Tutor at institutions like the University of Bologna and KTH. He has taught courses such as Enumerative Combinatorics and Geometry. Ferroni actively participates in academic outreach, serving as a jury member for the CIMA Olympiad and coaching programming teams in international competitions like the ICPC World Finals. He has presented at leading venues including the Harvard/MIT Combinatorics Seminar, the Institute for Pure & Applied Mathematics (UCLA), and international conferences like the British Combinatorial Conference. His work appears in top journals such as Advances in Mathematics , SIAM Journal on Discrete Mathematics , and Combinatorial Theory .

Yassine El Maazouzمشاهده پروفایل

مدرس

• Algebraic Geometry
• Non-Archimedean Geometry
• Commutative Algebra
• +۲ مورد دیگر

Yassine El Maazouz is a Harry Bateman Postdoctoral Scholar in the Division of Physics, Mathematics and Astronomy at the California Institute of Technology (Caltech), with a faculty mentor appointment under Professor Matilde Marcolli. He holds instructor positions for graduate mathematics courses including MA132C (Topics in Algebraic Geometry) and MA140B (Probability). Previously, he completed his PhD in Statistics at UC Berkeley after studying pure and applied mathematics at École Polytechnique. Education: PhD in Statistics, UC Berkeley (2019-2023) Master's in Pure and Applied Mathematics, École Polytechnique (2016-2019) Research Interests: His work bridges algebraic/non-Archimedean geometry, commutative algebra, combinatorics, and mathematical physics. Primary investigations include: p-adic algebraic manifolds, isotropic vector gram matrices, tropical invariants, spinor-helicity varieties, and combinatorial probability models. Research consistently demonstrates innovative applications of algebraic methods to problems in theoretical physics and statistical mechanics. Publication Trends: Recent articles (2019-2025) show strong focus on: (1) Algebraic structures in high-energy physics (scattering amplitudes, Coulomb branches), (2) Computational methods for p-adic manifolds and tropical geometry, (3) Combinatorial probability models (Bernoulli polynomials, stochastic processes), and (4) Matrix algebras derived from valuation theory. Work frequently appears in top journals including SIAM Journal on Applied Algebra, Selecta Mathematica, and Combinatorics/PROBABILITY Computing. Awards: Harry Bateman Postdoctoral Scholarship (Simons Foundation) Teaching & Academic Service: At Caltech, teaches graduate courses in algebraic geometry and probability theory. Previously instructed statistics courses at UC Berkeley (2019-2022). Co-organizes the Information, Geometry & Physics Seminar featuring cutting-edge interdisciplinary research. Maintains extensive lecture notes on number theory, probability, and representation theory.

• Algebraic Combinatorics
• Combinatorics
• Algebra
• +۳ مورد دیگر

Elena Hoster is a PhD candidate and researcher in the Algebraic Combinatorics group at the Faculty of Mathematics, Ruhr-Universität Bochum. She is part of the Research Team Stump under the supervision of Prof. Dr. Christian Stump. Her work focuses on reflection arrangements, particularly the braid arrangement, posets, and the symmetric group. Education: PhD in Algebraic Combinatorics (2022–present) Research Interests: Elena’s research explores algebraic structures in combinatorics, including reflection groups, posets, and their applications to symmetric group theory. Her recent work has centered on Hilbert-Poincaré series and Chow polynomials in matroid theory, contributing to the understanding of combinatorial algebra. Teaching: She has taught courses such as Elementargeometrie, Lineare Algebra und Geometrie, and Algorithmische Mathematik II for Informatics and ITS students since 2021. Affiliations: Member of the Floer Center of Geometry Associated with the Research Team Stump

Alexander I. Bobenkoمشاهده پروفایل

استاد

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

Professor Alexander I. Bobenko is a faculty member at the Institute of Mathematics, Technische Universität Berlin, holding the position of Professor in the Department of Geometry and Mathematical Physics. His research focuses on Discrete Differential Geometry, Integrable Systems, and Mathematical Physics, with notable contributions to the theory of discrete surfaces, circle patterns, and geometric structures. He leads the research group AG Geometrie und mathematische Physik and is involved in the DFG Collaborative Research Center (SFB/TRR 109) 'Discretization in Geometry and Dynamics.' PhD advisor for over 20 students, including Carl O. Lutz and Alexander Fairley. Recipient of extensive funding for projects on discrete geometry and integrable systems. His research interests span geometry visualization, Riemann surfaces, and applications of discrete methods in mathematical physics. Bobenko has published prolifically on topics like discrete conformal maps, minimal surfaces, and integrable systems, with over 130 peer-reviewed articles. His work bridges classical and discrete geometry, emphasizing computational and algorithmic approaches.

Michael Joswigمشاهده پروفایل

استاد

• Discrete Geometry
• Tropical Geometry
• Algorithmic Geometry
• +۴ مورد دیگر

Michael Joswig is an Einstein Professor of Discrete Mathematics/Geometry at Technische Universität Berlin and a Max Planck Fellow at the Max Planck Institute for Mathematics in the Sciences, Leipzig. His research focuses on polyhedral, tropical, and algorithmic geometry, optimization, combinatorial topology, and mathematical software development (e.g., polymake and OSCAR). He holds a PhD from the University of Tübingen (1994) and a Habilitation from TU Berlin (2000). His career includes professorial roles at TU Darmstadt and TU Berlin, alongside visiting positions at institutions like the Mathematical Sciences Research Institute in Berkeley. Joswig has authored over 120 publications, supervised numerous PhD students, and led major grants such as the SFB/TRR 195 'Symbolic Tools in Mathematics.' Research interests span geometric algorithms, tropical geometry applications, and software for computational mathematics. Notable awards include the SIAM SIGEST Award (2021) and the MATH Distinguished Fellowship (2023). He co-develops the OSCAR computer algebra system and actively contributes to academic leadership roles, editorial boards, and conference organization. Current projects include tropical mechanism design, approximate convex hulls, and polyhedral geometry in algebraic software systems. His work bridges theoretical mathematics with practical computational tools, impacting fields from optimization to biology.

Lukas Kühneمشاهده پروفایل

استادیار

• Combinatorics
• Algebraic Geometry
• Hyperplane Arrangements
• +۴ مورد دیگر

Lukas Kühne is an Assistant Professor (Juniorprofessor) at Bielefeld University's Faculty of Mathematics. His research focuses on the intersection of combinatorics, algebra, and geometry, with specializations in hyperplane arrangements, matroids, polytopes, and computational methods. He actively contributes to software development for combinatorial mathematics, including the Oscar module for matroids and the CountingChambers.jl package. Education: PhD from Hebrew University of Jerusalem (2017-2020), Master's from University of Bonn (2014-2017), and Bachelor's from TU Kaiserslautern (2011-2014). His work has been supported by grants such as DFG SPP 2458 and SFB-TRR 358. Research interests include experimental methods in combinatorics, geometric realizability of matroids, and applications of discrete mathematics in algebraic geometry. Recent work explores simpliciality in arrangements, cosmological polytopes, and algorithmic approaches to hyperplane arrangement properties. Teaching responsibilities include courses on Linear Algebra, Discrete Mathematics, and Finite Reflection Groups. He organizes conferences such as the 'Dive into Research: Simpliciality in Arrangements and Matroids' and has participated in international workshops on combinatorial algebraic geometry.

Stavros Garoufalidisمشاهده پروفایل

استاد

• Low-dimensional topology
• Quantum topology
• Mathematical physics
• +۷ مورد دیگر

Stavros Garoufalidis is a Professor at the Southern University of Science and Technology (SUSTech) in Shenzhen, China, and an External Scientific Member at the Max-Planck-Institute for Mathematics (MPIM) in Bonn, Germany. He holds a Hirzebruch Research Chair (2018-19) and has been a Professor at Georgia Institute of Technology (2003-2019). He earned his Ph.D. in Mathematics from the University of Chicago (1992) and has held postdoctoral positions including CLE Moore Instructor at MIT (1993-95) and Tamarkin Instructor at Brown University (1995-96). His research focuses on low-dimensional topology, quantum topology, and mathematical physics, with emphasis on knot theory, hyperbolic geometry, Chern-Simons theory, and resurgence phenomena. Key areas include colored Jones polynomials, Volume Conjecture, and connections between quantum invariants and geometric structures. Garoufalidis has collaborated with over 70 researchers and advised multiple Ph.D. students. His awards include the Bronze medal at the 1998 IMO, American Mathematical Society Centennial Fellowship (1998-2000), Simons Foundation Fellowship (2013), and Simons Guggenheim Fellowship (2012). He is affiliated with the International Center for Mathematics at SUSTech and leads research groups exploring topics like 3D-index, quantum modular forms, and topological recursion. His work bridges topology, geometry, and mathematical physics through interdisciplinary approaches.