جست‌وجوی استاد و پژوهشگر

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

Shamil Asgarliمشاهده پروفایل

استادیار

• Algebraic Geometry
• Arithmetic Geometry
• Finite Fields
• +۳ مورد دیگر

Shamil Asgarli is an Assistant Professor in the Department of Mathematics and Computer Science at Santa Clara University (SCU), College of Arts and Sciences. He holds a B.Sc. from the University of British Columbia (UBC) and a Ph.D. from Brown University (2019), advised by Brendan Hassett. Previously, he was a postdoctoral fellow at UBC under mentors Dragos Ghioca and Zinovy Reichstein. His research focuses on algebraic and arithmetic geometry, with recent explorations into algebraic graph theory. Core themes include geometry and combinatorics over finite fields, transverse hypersurfaces, blocking sets, and maximum cliques in Cayley graphs. Notable contributions involve Bertini-type theorems, Picard group analysis of quadric intersections, and studies of Frobenius nonclassical hypersurfaces. Teaching spans courses at SCU (e.g., Cryptography, Calculus), UBC, and Brown, including roles as instructor and teaching assistant for calculus, linear algebra, and number theory. He completed the Sheridan Center's Reflective Teaching Program (Certificate I). His work bridges pure mathematics with combinatorial applications, often leveraging finite field structures. Key collaborations include projects with Dragos Ghioca, Chi Hoi Yip, and Kuan-Wen Lai on transverse subspaces, blocking curves, and geometric irreducibility. His publications frequently address problems at the intersection of algebraic geometry and finite field theory, with applications to coding and cryptography.

• Frame Theory
• Operator Theory
• Packing Problems
• +۷ مورد دیگر

John Jasper is an Assistant Professor in the Department of Mathematics and Statistics at the Air Force Institute of Technology (AFIT), Wright-Patterson Air Force Base, Ohio. He holds a PhD in Mathematics from the University of Oregon and has previously served as a postdoc at the University of Missouri, a visiting assistant professor at the University of Cincinnati, and an assistant professor at South Dakota State University. Education: PhD in Mathematics, University of Oregon (2011), advised by Marcin Bownik His research centers on frame theory, operator theory, and packing problems , with strong connections to harmonic analysis, combinatorics, algebra, and discrete geometry. His work explores the structure and construction of equiangular tight frames, Grassmannian codes, and the diagonals of self-adjoint operators, often using group actions and finite field geometries. Many of his recent publications focus on optimal arrangements of lines and vectors in complex and real spaces, with applications in signal processing and quantum information. The 15 most recent publications reflect a consistent research trajectory in mathematical signal processing , particularly in constructing optimal configurations of vectors using combinatorial and algebraic methods. Key themes include equiangular tight frames, Grassmannian packings, operator diagonals, and finite field frame theory. These works frequently appear in high-impact journals such as IEEE Transactions on Information Theory , Applied and Computational Harmonic Analysis , and Linear Algebra and its Applications . Scientific Awards and Honors: No awards explicitly listed in the provided text. Advising and Grants: While no formal list of students is provided, John Jasper collaborates extensively with leading researchers such as Matthew Fickus, Dustin G. Mixon, Marcin Bownik, and Emily King. His research is supported in part by the National Science Foundation. He co-organizes the CodEx Seminar, a pan-university remote seminar on harmonic analysis, combinatorics, and algebra, indicating active engagement in academic community building and mentoring. Labs, Teams, and Research Groups: John Jasper is part of a vibrant research group focused on frame theory and discrete geometry, collaborating with mathematicians across institutions. He contributes to the CodEx Seminar, which serves as a virtual research hub connecting scholars in harmonic analysis and related fields. His work is deeply collaborative, often involving interdisciplinary teams working on theoretical foundations with applications in coding and signal processing.

Matthew B Dayمشاهده پروفایل

دانشیار

• Geometric Group Theory
• Low Dimensional Topology
• Combinatorial Group Theory
• +۵ مورد دیگر

Matthew B. Day is an Associate Professor in the Department of Mathematical Sciences at the University of Arkansas, Fayetteville. He holds a Ph.D. in Mathematics from the University of Chicago (2008) and previously held postdoctoral positions at Caltech. His research focuses on geometric group theory, low-dimensional topology, and combinatorial group theory, with a recent emphasis on automorphism groups of right-angled Artin groups. He has received multiple NSF grants and fellowships, including a Postdoctoral Research Fellowship (2008–2010) and a Graduate Research Fellowship (2002–2007). He has co-organized conferences like the Redbud Topology Conference and contributed to teaching graduate and undergraduate courses in topology, algebra, and analysis. Education: B.S. Mathematics, B.A. Linguistics & Philosophy (UT Austin, 2002); M.S. and Ph.D. in Mathematics (University of Chicago, 2004 and 2008). Professional Service: Organized the 2015 Arkansas Spring Lecture Series, reviewed for Mathematical Reviews, and served on university committees for hiring and curriculum. Research Trends: His work bridges geometric group theory with low-dimensional topology, exploring automorphism groups, mapping class groups, and symplectic structures. Recent papers address cohomological dimensions, subspace arrangements, and finiteness properties of groups. He has advised conferences and collaborates with institutions like the Ohio State University and Trinity College, Dublin. His teaching spans foundational courses to specialized graduate topics in topology and algebra.

• Nonlinear Algebra
• Metric Algebraic Geometry
• Numerical Algebraic Geometry
• +۳ مورد دیگر

Paul Breiding is a Professor for Mathematical Methods in Data Science at the University of Osnabrück, within the Faculty of Mathematics/Computer Science/Physics. He is part of the Applied Algebra and Data Analysis working group and the Research Unit Data Science. His research focuses on nonlinear algebra, metric algebraic geometry, and their applications in numerical methods and data science. He is a Fellow of the Junge Akademie Mainz and co-authored the book 'Metric Algebraic Geometry' with Kathlen Kohn and Bernd Sturmfels. His work includes developing the software HomotopyContinuation.jl (v.2.11), which is widely used for numerical algebraic geometry. His research interests span algebraic geometry, tensor decompositions, and computational methods. Recent publications investigate geometric properties of algebraic varieties, condition numbers in tensor approximations, and probabilistic aspects of algebraic structures. Key contributions include studies on the reach of algebraic manifolds, typical ranks of random tensors, and sensitivity analysis in numerical algorithms. His work bridges theoretical algebraic geometry with practical computational tools for data science applications. Software: HomotopyContinuation.jl (v.2.11) Labs/Teams: Applied Algebra and Data Analysis, Research Unit Data Science

Istvan Tomonمشاهده پروفایل

دانشیار

• Discrete Mathematics
• Extremal and Probabilistic Combinatorics
• Geometry

Istvan Tomon is an Associate Professor in the Department of Mathematics and Mathematical Statistics at Umeå University in Sweden. His research focuses on discrete mathematics, extremal and probabilistic combinatorics, and geometry. He leads research in combinatorial structures and graph theory, with recent work exploring hereditary families, symmetric chain decompositions, and Zarankiewicz problems. His publications demonstrate broad expertise in combinatorial optimization, hypergraph theory, and geometric combinatorics. Recent articles show consistent focus on extremal problems in set systems, matrix combinatorics, and incidence geometry.

• Algebra
• Representation Theory
• Semigroup Theory
• +۳ مورد دیگر

Marianne Johnson is a Senior Lecturer in the School of Mathematics at the University of Manchester. She is a core member of the tropical mathematics research group and collaborates with institutions including Birmingham, Queen Mary University of London, and Warwick through an LMS Joint Research Network. Her research focuses on algebra and combinatorics, including free Lie algebras, representation theory, semigroup theory, and tropical algebra/geometry. She has contributed to EPSRC-funded projects such as 'Multiplicative Structure of Tropical Matrix Algebra' and 'Modular Lie Powers and Applications,' and participated in the CICADA interdisciplinary project. Her research interests span a wide array of algebraic topics: free Lie algebras explore the structure of non-associative algebras, while representation theory examines how algebraic structures act on vector spaces. Semigroup theory and tropical algebra involve studying combinatorial and geometric properties of matrices and monoids over semirings. Recent work includes studies on plactic-like monoids, tropical matrix identities, and linear functions preserving Green's relations. Johnson has co-authored over 29 publications, with recent trends emphasizing tropical algebra's applications to geometric and algorithmic problems, such as tropical matrix groups and hyperplane arrangements. Her work bridges pure mathematics with interdisciplinary fields like computational dynamics and healthcare through collaborations like CICADA. Notable projects include analyzing upper triangular tropical matrices and exploring NP-completeness in gossip monoids. She has advised three research students and contributed to grants involving EPSRC-funded projects. Her affiliations include the Data Science Institute, Algebra research group, and Tropical Mathematics cluster at Manchester. Her work also intersects with Digital Futures initiatives, reflecting her commitment to advancing computational and theoretical mathematics.

• Geometric Group Theory
• Low Dimensional Topology
• Combinatorial Group Theory
• +۶ مورد دیگر

Matthew B. Day is an Associate Professor in the Department of Mathematical Sciences at the University of Arkansas. His research focuses on geometric group theory, low-dimensional topology, and combinatorial group theory, with a particular emphasis on automorphism groups of right-angled Artin groups (RAAGs), free groups, and mapping class groups. Research Interests: Automorphism groups, RAAGs, free groups, Torelli subgroups, Johnson homomorphisms, symplectic structures on groups. Collaborators: Richard D. Wade, Andrew Putman, Benson Farb (PhD supervisor). Education: PhD from the University of Chicago (2008), supervised by Benson Farb. Key Contributions: Studied virtual cohomological dimensions, solvable subgroups, and exact sequences related to automorphism groups.

Corrado De Conciniمشاهده پروفایل

استاد

• Algebraic groups
• Quantum groups
• Quantized enveloping algebras
• +۵ مورد دیگر

Corrado De Concini is a Professor of Mathematics at Sapienza University of Rome since 1996, where he holds the position of Professor of Higher Algebraic Institutions. His academic career includes positions at the University of Salerno (1975-1976), University of Pisa (1976-1981), University of Rome II (1981-1988), and the Scuola Normale Superiore (1988-1996). His academic background includes: Laurea in Mathematics from Sapienza University of Rome (1971) Ph.D. in Mathematics from University of Warwick, England (1975) De Concini's research spans multiple areas of pure mathematics with a focus on algebraic structures and their geometric interpretations. His work in algebraic groups, quantum groups, and quantized enveloping algebras has established important connections between representation theory and mathematical physics. He has made significant contributions to algebraic geometry, particularly in the study of Jacobians and arrangements of hyperplanes. His research on combinatorial aspects of index theory bridges discrete mathematics with topological methods. Analysis of De Concini's publication record reveals a consistent focus on algebraic structures and their geometric applications. His work shows a progression from foundational studies in algebraic varieties to specialized investigations of quantum groups and hyperplane arrangements. The interdisciplinary nature of his research is evident in the connections he establishes between algebra, geometry, topology, and mathematical physics through collaborations with prominent mathematicians like Procesi, Vergne, and Lusztig. His significant recognitions include: Premio Caccioppoli per la Matematica (1981) Medaglia d'oro from the Accademia Italiana delle Scienze (1990) Lagrange-Michelet Chair, ENS Paris (2004) Election to prestigious academies including Accademia Nazionale dei Lincei (2009) and Accademia Italiana delle Scienze detta dei XL (2010) Plenary talks at major international conferences including the First European Congress of Mathematics (1992) De Concini has served in significant editorial and leadership roles, including as Editor of several major mathematical journals such as Journal of the European Mathematical Society (until 2014) and as President of the Istituto Nazionale di Alta Matematica (INdAM) from 2003-2007. His service to the mathematical community extends to membership on prestigious committees including the Fields Medal Committee (2010) and the Shaw Prize Committee (2014-2015). Throughout his career, De Concini has maintained active international collaborations, with visiting positions at leading institutions including Brandeis University, Harvard University, MIT, and the Institut des Hautes Études Scientifiques. His research continues to influence multiple areas of pure mathematics through both his publications and his academic leadership.

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

Li Li is a Professor in the Department of Mathematics and Statistics at Oakland University. Her office is located in room 350 MSC, and she can be contacted via email at li2345@oakland.edu, phone at 248-370-3447, or fax at 248-370-4184. Professor Li's research spans several interconnected areas of pure mathematics: Cluster algebra and its connections to geometry and combinatorics Algebraic geometry of Schubert varieties Geometric and combinatorial structures of point configurations in plane and higher dimensions Properties of arrangements of subvarieties including hyperplane and subspace arrangements Theory of Lawson homology and morphic cohomology Group theory and Cayley graphs Her work bridges multiple mathematical disciplines with particular focus on the interplay between algebraic structures, geometric configurations, and combinatorial patterns. Professor Li investigates how these mathematical objects relate to each other through frameworks such as the ideal defining the diagonal locus in (C^2)^n, q,t-Catalan numbers, Hilbert schemes of points on Deligne-Mumford stacks, and wonderful compactifications of arrangements. Her research contributes significantly to understanding the deep connections between seemingly distinct areas of modern mathematics.

Kirsten Graham Wickelgrenمشاهده پروفایل

استاد

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

Kirsten Graham Wickelgren is a Professor of Mathematics at Duke University's Trinity College of Arts & Sciences. She holds a Ph.D. from Stanford University (2009). Her research focuses on algebraic geometry, algebraic topology, and number theory, with an emphasis on motivic homotopy theory and its applications to enumerative geometry. She has received recognition including the 2022 Fellow of the American Mathematical Society and membership in the K-Theory Foundation since 2021. Her work explores topics such as A¹-homotopy theory, Galois actions on fundamental groups of curves, and quadratic enrichment of classical invariants. She has led grants from the National Science Foundation, including projects on A¹-homotopy theory and training programs in number theory. She teaches advanced courses in algebra and geometry and mentors students at various levels. Her professional service includes editorial roles in journals like the New York Journal of Mathematics and Annals of K-Theory , and organizing conferences such as the Motivic Homotopy Theory workshop at the IAS Park City Mathematics Institute.

• Commutative Algebra
• Algebra
• Mathematics
• +۱ مورد دیگر

Chris Francisco is a Professor of Mathematics and Senior Vice Provost for Academic Affairs at Oklahoma State University. His office is located at 101 Whitehurst, and he can be contacted via email at chris.francisco@okstate.edu or phone at (405) 744-5627. He completed his Ph.D. in Mathematics at Cornell University in 2004 under Mike Stillman, focusing on Hilbert functions and minimal graded free resolutions. Previously, he earned dual undergraduate degrees in Mathematics and Economics from the University of Illinois at Urbana-Champaign in 1999, where Graham Evans mentored him in commutative algebra. Francisco's research specializes in commutative algebra with strong computational and combinatorial connections. Primary interests include: Monomial ideals and their algebraic properties Combinatorial commutative algebra applications Development of computational tools like Macaulay2 Interactions between graph theory and algebra His work frequently explores Hilbert functions, free resolutions, and combinatorial structures. His publications demonstrate consistent focus on algebraic combinatorics, with recent trends including: Geometric aspects of commutative algebra (hyperplane arrangements, Grassmannians) Computational algebra software development Combinatorial structures in algebra (graphs, simplicial complexes) Homological and structural properties of ideals

Eric Ramosمشاهده پروفایل

استادیار

• Combinatorics
• Algebraic Topology
• Representation Stability
• +۵ مورد دیگر

Eric Ramos is a Tenure-Track Assistant Professor at Stevens Institute of Technology in the Charles V. Schaefer, Jr. School of Engineering and Science , Department of Mathematical Sciences. He previously held NSF-sponsored postdoctoral positions at the University of Michigan and University of Oregon, and served as a tenure-track assistant professor at Bowdoin College. Education: PhD in Mathematics (2017, University of Wisconsin-Madison), BS/MS in Mathematics (2012, Carnegie Mellon University) Eric's research lies at the intersection of algebra, combinatorics, topology , and computation , focusing on problems where infinite complexity reduces to finite cases via algebraic structures. His recent work includes stability phenomena in graph braid groups, representation stability, and applications of AI to mathematical education. His publications span topics like graph braid groups , representation stability , symmetric groups , and homology , often combining algebraic and computational methods. He has mentored numerous students, leading to co-authored publications. Grants: NSF Grants DMS-2452031 (Current), DMS-2137628, DMS-1704811. He is involved in institutional service through the Laboratory for AI in Mathematics Education and the SES Faculty Advisory Council.

Irena Peevaمشاهده پروفایل

استاد

• Commutative Algebra
• Free Resolutions
• Hilbert Functions
• +۵ مورد دیگر

Irena Peeva is a Professor in the Department of Mathematics at Cornell University, affiliated with The College of Arts and Sciences. Her research focuses on Commutative Algebra, particularly Free Resolutions and Hilbert Functions, with connections to Algebraic Geometry, Combinatorics, and Noncommutative Algebra. She co-authored groundbreaking work refuting the Eisenbud-Goto Regularity Conjecture and developed foundational theories on minimal free resolutions over complete intersections. Peeva has authored monographs like Graded Syzygies and edited influential volumes in Commutative Algebra. Her notable contributions include introducing higher matrix factorizations to characterize Cohen-Macaulay modules over complete intersections. Awards include the 2019 Simons Fellowship and an endowed professorship. She teaches advanced courses such as Supervised Research and Calculus II, and her work bridges theoretical algebra with computational and geometric insights.