جست‌وجوی استاد و پژوهشگر

Hemanshu Kaulمشاهده پروفایل

دانشیار

• Discrete Mathematics
• Operations Research
• Graph Theory
• +۵ مورد دیگر

Hemanshu Kaul is an Associate Professor of Applied Mathematics at Illinois Institute of Technology (IIT), part of the College of Computing. He serves as Co-Director of the M.S. in Computational Decision Science and Operations Research (CDSOR) program. His expertise spans Discrete Mathematics, Operations Research, Graph Theory, and Network Optimization, with applications in transportation, computer science, and engineering. Education: PhD in Mathematics from the University of Illinois at Urbana-Champaign (UIUC), MS in Mathematics from the Indian Institute of Technology Bombay. He has held roles including Distinguished Teaching Fellow (2016–2018) and AMS Project NExT Fellow (2007–2008). Research Interests : Focus on Graph Packing, DP-coloring, List Coloring, and algorithmic solutions for discrete optimization problems. His work bridges theoretical foundations with practical applications such as transportation networks and computer science systems. Publications & Grants : Over 50 publications in combinatorics and optimization, including NSF/NSA-funded projects like the EXCILL III Conference (2016–17). Recent work explores spectral Turán problems, DP-coloring algorithms, and longitudinal network models. Awards : Board of Trustees Award for Excellence in Teaching (2019) Excellence in Teaching Award (2017, College of Science, IIT) Interdisciplinary Research Grant (2009–2010, Transportation Networks) Advising & Leadership : Co-advisor for IIT's SIAM Student Chapter. Led restructuring of the Applied Math M.Sc. program (2018–19). Advised teams in the Mathematical Contest in Modeling (MCM), including a 2019 Meritorious Winner team for a disaster response system design. Labs & Collaborations : Involved in interdisciplinary projects combining applied math with computer science and engineering, including work on equitable public transit systems and network optimization.

Dan Abramovichمشاهده پروفایل

استاد

• Algebraic Geometry
• Resolution of Singularities
• Logarithmic Geometry
• +۳ مورد دیگر

**Dan Abramovich** is a Professor in the Department of Mathematics at Brown University, affiliated with the College of Arts and Sciences. His research focuses on algebraic geometry, particularly in resolution of singularities, logarithmic geometry, moduli spaces, and birational geometry. He has authored numerous papers and contributed to foundational work in these areas, supported by NSF and BSF grants. **Teaching**: He teaches courses like Math 1540 (Galois theory and representations of finite groups) and has extensive past teaching records dating back to 2015. His seminars include Algebraic Geometry and Topology. **Research**: Abramovich's work bridges algebraic structures and geometric applications, with notable contributions to logarithmic geometry and moduli theory. His recent articles address weighted blow-ups, dynamical systems in resolution, and functorial monomialization. **Grants & Collaboration**: He collaborates internationally, organizing conferences like AGNES and BATMoBYle. His work is disseminated via arXiv, with over 50 publications since the 1990s.

Yingkun Liمشاهده پروفایل

استادیار

• Number Theory
• Automorphic Forms
• Modular Forms
• +۱ مورد دیگر

Yingkun Li is an Assistant Professor in the Department of Mathematics at the University of Wisconsin-Madison. He is also a visiting researcher at the Max Planck Institute for Mathematics (MPIM Bonn) and the University of Bonn, supported by the Heisenberg program (DFG). His research focuses on number theory, particularly automorphic forms and their applications in arithmetic geometry and mathematical physics. Research Interests: Dr. Li works at the intersection of number theory and modular forms, with emphasis on harmonic Maass forms, quantum modular forms, and their connections to combinatorics, analytic number theory, and algebraic structures. His work explores CM-values, asymptotic expansions, and renormalization techniques. Recent Publications: His research spans real-dihedral harmonic Maass forms, quantum modular forms, Hilbert modular functions, Fishburn matrices, and half-integral weight modular forms. Themes include renormalization, q-series, and automorphic representations. Teaching: He has taught courses ranging from Analysis I to seminars on partitions and asymptotic expansions, and has extensive experience mentoring high school and university students through programs like the UCLA Math Circle and Mathematics courses.

Irène Marcoviciمشاهده پروفایل

استاد

• Probability Theory
• Dynamical Systems
• Cellular Automata
• +۴ مورد دیگر

Irène Marcovici is a Professor in the Department of Mathematics at the University of Rouen Normandy, affiliated with the Raphaël Salem Mathematics Laboratory (LMRS). She leads the Probability and Dynamical Systems team within LMRS and participates in the ALEA and SDA2 working groups of the GDR Informatique Fondamentale et ses Mathématiques. PhD in Mathematics (2013, University of Paris Diderot) Habilitation à Diriger des Recherches (2021, University of Lorraine) Her research focuses on probability theory , dynamical systems , and cellular automata , with significant contributions to percolation theory, self-organization phenomena, and combinatorics on words. She investigates how randomness influences complex systems, particularly through probabilistic cellular automata and their ergodic properties. Analysis of her recent publications (2021-2025) reveals a strong emphasis on percolation dynamics (e.g., corner percolation with directional bias), self-stabilization mechanisms in cellular systems, and combinatorial structures like Kolakoski sequences. Her work bridges theoretical computer science and pure mathematics, often employing stochastic methods to solve problems in symbolic dynamics and discrete geometry. Supervision & Collaborations: Currently supervising Maxence Poutrel (with Jérôme Casse) Previously supervised Pierrick Siest (2021-2024), Jocelyn Begeot (now Associate Professor), and Pierre-Adrien Tahay (now PRAG at Telecom Nancy) Regular collaborations with Régine Marchand, Nazim Fatès, and Pascal Moyal Laboratory Context: As leader of the Probability and Dynamical Systems team at LMRS, she contributes to France's national research infrastructure in fundamental mathematics, with connections to CNRS and international working groups focused on automata theory and discrete probability.

Stav Zalelمشاهده پروفایل

استادیار

• Quantum Gravity
• Causal Set Theory
• Combinatorics
• +۳ مورد دیگر

Dr. Stav Zalel is a College Assistant Professor and Fellow at Homerton College, University of Cambridge, affiliated with the Department of Applied Mathematics and Theoretical Physics (DAMTP). Their research focuses on quantum gravity, causal set theory, combinatorics, and quantum field theory on discrete backgrounds. They previously held postdoctoral positions at Imperial College London (2021–2024). Research Interests: Zalel explores foundational questions in quantum gravity using causal set theory, a discrete approach to spacetime. Their work includes developing covariant dynamics for causal sets, analyzing growth models, and applying combinatorial methods to discrete spacetime structures. They also investigate observables in cyclic cosmological models and non-standard spacetime geometries. Publications Highlight: Recent works address covariant frameworks for causal set dynamics, growth models with applications to quantum gravity, and algebraic structures (e.g., Hopf algebras) in combinatorial spacetime models. These contributions advance understanding of discrete spacetime theories and their mathematical underpinnings. Zalel is part of the Relativity and Gravitation research group at DAMTP, contributing to interdisciplinary efforts at the intersection of mathematics and theoretical physics.

Adam Lowranceمشاهده پروفایل

دانشیار

• Low-dimensional Topology
• Knot Theory
• 3-Manifold Theory
• +۳ مورد دیگر

Adam Lowrance is an Associate Professor of Mathematics and Statistics at Vassar College, where he has served since 2012. He holds a BA in Mathematics and Computer Science from Amherst College and a PhD in Mathematics from Louisiana State University. His research focuses on low-dimensional topology, particularly knot theory and 3-manifold theory. Recent work has explored properties of 2-bridge knots, Turaev genus, Khovanov homology, and geometric invariants. His publications frequently intersect algebraic and geometric approaches to topological problems. Teaching responsibilities include Linear Algebra (MATH 221) and Advanced Linear Algebra (MATH 364). He maintains an active research program with a focus on undergraduate research, as evidenced by grants such as the NSF RUI initiative. Professional activities include service on departmental committees and contributions to topological research communities. Contact details: adlowrance@vassar.edu , Rockefeller Hall Box 302.

Jesús A. De Loeraمشاهده پروفایل

استاد

• Combinatorics
• Convex Geometry
• Discrete Optimization
• +۶ مورد دیگر

Jesús A. De Loera serves as a Distinguished Professor in the Department of Mathematics at the University of California, Davis. He is also affiliated with the Applied Mathematics and Computer Science graduate groups, reflecting his interdisciplinary research approach. His primary research interests include Combinatorics, Convex Geometry, Discrete Optimization, and Algebraic Combinatorics . Professor De Loera has developed expertise in computational aspects of polyhedral combinatorics and mathematical optimization, often using specialized software like polymake for polyhedral computations. Throughout his career, he has supervised 15 PhD students who have gone on to prestigious positions at institutions including Google, Facebook, U.S. Naval Academy, Harvard University, and various research universities. His teaching portfolio includes advanced courses such as Convex Geometry (MATH 114), Algebraic Combinatorics (MATH 146), and Applied Linear Algebra (MATH 167). Professor De Loera is recognized with the title of Distinguished Professor, indicating significant scholarly achievement. His work bridges theoretical mathematics with practical computational applications, particularly in data science and optimization problems. He maintains an active research seminar for both graduate and undergraduate students, with a strong commitment to mentoring and increasing diversity in mathematics through programs supporting underrepresented groups.

Peter Matthew Magyarمشاهده پروفایل

دانشیار

• Representation Theory
• Algebraic Combinatorics
• Algebraic Geometry
• +۵ مورد دیگر

Prof. Peter Matthew Magyar is an Associate Professor in the Department of Mathematics at Michigan State University (MSU). He holds a B.A. in Mathematics from Princeton University (summa cum laude, 1986) and a Ph.D. in Mathematics from Harvard University (1993, advised by Joseph N. Bernstein). Before joining MSU in 2000, he held postdoctoral and visiting positions at the University of Utrecht (Netherlands), Université de Paris VII, Northeastern University, and Brandeis University. His research focuses on representation theory, algebraic combinatorics, and algebraic geometry, with emphasis on Lie groups, loop groups, Schubert varieties, and combinatorial structures like Young tableaux and Littelmann paths. Education: Princeton University, B.A. Mathematics, 1986 Harvard University, Ph.D. Mathematics, 1993 Research Interests: Representation theory of semi-simple complex Lie groups Algebraic combinatorics (Young tableaux, Littelmann paths) Schubert calculus and affine Schubert polynomials Geometry of flag varieties and affine Grassmannians Honors: NSF Graduate Fellowship (1986-89) NSF Postdoctoral Fellowship (1995-98) NSF Grants DMS-0405948 (2004-07) and DMS-0703524 (2007-10) Teaching: Courses include graduate combinatorics, abstract algebra, discrete mathematics, and honors calculus. Developed a daily-quiz system for upper-level courses. Collaborations: Works with researchers such as V. Lakshmibai, P. Littelmann, A. Zelevinsky, and others on geometric and combinatorial representation theory. Outreach: Participates in the Kinawa-Chippewa Math Circle, offering modular arithmetic and cryptography workshops for students.

• 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

Konstanze Rietschمشاهده پروفایل

استاد

• Lie theory
• Quantum cohomology
• Mirror symmetry
• +۴ مورد دیگر

Professor Konstanze Rietsch is a Professor of Geometry at King's College London's Department of Mathematics, part of the Faculty of Natural, Mathematical & Engineering Sciences. She holds a Master's from the University of Vienna (1993) and a PhD from MIT (1998). Her research focuses on Lie theory, quantum cohomology, mirror symmetry, and total positivity, with significant contributions to flag varieties and geometric representation theory. Key achievements include EPSRC Advanced Fellowship (2006) and Royal Society Dorothy Hodgkin Fellowship (2002). Her work bridges algebraic geometry, combinatorics, and mathematical physics, with recent projects on mirror symmetry for cluster varieties and Landau-Ginzburg models. She has supervised 4 doctoral students and contributed to major conferences like the Lusztig 60th Birthday Conference. Publications span advanced topics like polytope theory, quantum Schubert calculus, and geometric Satake correspondence. Her research group explores algebraic geometry, cohomology, differential geometry, and symplectic geometry.

Nicholas Wormaldمشاهده پروفایل

استاد

• Combinatorics
• Random Graphs
• Graph Theory
• +۴ مورد دیگر

Nicholas Wormald is a Professor in the Department of Mathematical Sciences at Monash University, Australia. He joined the university in 2013 as an Australian Laureate Fellow, following a decade as a Canada Research Chair in Combinatorics and Optimization at the University of Waterloo, Canada. His primary research focuses on combinatorics, probabilistic methods, and random structures, with notable contributions to random graph theory, enumeration, and applications in optimization. Wormald holds a PhD from the University of Newcastle. His work spans topics including Hamilton cycles in random regular graphs, k-core emergence, probabilistic combinatorics, and algorithms for graph generation. He has contributed to foundational results such as the sudden emergence of giant components in random graphs and the contiguity of random graph models. He serves on editorial boards of journals like the Electronic Journal of Combinatorics and Random Structures and Algorithms . His research interests also include underground mine optimization and the study of Steiner trees. Notable projects include enumeration and random generation of contingency tables, properties of large discrete structures, and the analysis of random structures' applications. Wormald has authored or co-authored over 250 publications, with recent work focusing on asymptotic enumeration, hypergraphs, and the probabilistic analysis of combinatorial structures.

• Discrete Mathematics
• Combinatorics
• Graph Theory
• +۳ مورد دیگر

Jeffry Kahn is a Professor of Mathematics at Rutgers, The State University of New Jersey, within the Department of Mathematics. His research focuses on discrete mathematics and related areas, with particular emphasis on combinatorics, graph theory, and probability. He holds an office in Hill Hall (HLL-728) on the Busch Campus. His work spans foundational contributions to extremal combinatorics, random graph theory, and probabilistic methods. Kahn has co-authored influential papers on threshold phenomena, phase transitions in statistical mechanics models, and structural properties of discrete systems. Notable contributions include resolving Borsuk's conjecture and advancing understanding of random matrix singularity probabilities. He teaches advanced courses such as Combinatorics II (642.583), emphasizing problem-solving and rigorous proofs. His research interests exhibit a cohesive thread in exploring combinatorial structures under probabilistic and extremal frameworks. Recent works address Shamir’s Problem asymptotics, maximal independent sets in hypercubes, and threshold conjectures. His articles often intersect with theoretical computer science, revealing interdisciplinary insights. Despite no explicitly listed awards, his publications in top journals like Annals of Mathematics and Combinatorica underscore his academic impact. His advising focuses on graduate-level combinatorial research, with courses structuring students via problem sets requiring precise, efficient solutions.

Sara Billeyمشاهده پروفایل

استاد

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

Professor Sara Billey is a faculty member in the Department of Mathematics at the University of Washington. She holds a PhD from the University of California, San Diego (1994) and an SB from MIT (1990). Her research focuses on algebraic combinatorics, including Schubert polynomials, flag manifolds, and representation theory of Lie groups. She advocates for computational methods in mathematics and explores undecidable problems. Notable awards include the PECASE Award. Her work bridges theoretical mathematics with machine learning applications, as seen in recent collaborations on AI-driven conjecturing tools. Education: PhD (UCSD, 1994), SB (MIT, 1990). Research emphasizes algebraic structures and their combinatorial interpretations, with contributions to Schubert varieties, Bruhat orders, and Kazhdan-Lusztig polynomials. She has pioneered computational frameworks for conjecture generation in pure mathematics. Grants include PECASE-funded projects on combinatorial structures in algebra and geometry. Active in teaching and advising, though no specific advisees are listed.

• Tropical Geometry
• Algebraic Geometry
• Combinatorics
• +۳ مورد دیگر

Angelica Cueto is an Associate Professor in the Department of Mathematics at The Ohio State University, affiliated with the College of Arts and Sciences. Her research focuses on Tropical Geometry, Algebraic Geometry, Combinatorics, and Non-Archimedean Geometry. She explores topics such as moduli spaces, surface singularities, and degenerations of classical varieties, with a particular emphasis on tropical methods and their applications. Her work bridges algebraic geometry with combinatorial structures, addressing problems like the Milnor fiber conjecture, tropicalizations of curves, and faithful tropicalizations of Grassmannians. Recent publications (2023–2024) highlight advancements in splice-type surface singularities and real lifts of bitangents. She maintains a professional website detailing her research and collaborations. No scientific awards or grants are explicitly listed in the provided text. Her academic contributions are centered on foundational research in tropical and algebraic geometry, with a focus on geometric combinatorics and moduli theory.

Klas Markströmمشاهده پروفایل

استاد

• Combinatorics
• Graph Theory
• Hypergraphs
• +۳ مورد دیگر

Klas Markström is a Professor at the Department of Mathematics and Mathematical Statistics, Umeå University. He holds academic qualifications as a Docent and a Recognised University Teacher in Mathematics. His primary research interests include combinatorics, graph theory, hypergraphs, computational combinatorics, linear algebra, and mathematical physics. He utilizes Swedish supercomputing resources, including those at HPC2N, for his research. Markström has advised PhD students Lan Anh Pham (2019) and Joel Larsson (2018). His postdoctoral collaborators include Jakub Sliacan, Fei Song, and Victor Falgas-Ravry. His work spans theoretical contributions to combinatorics, computational methods, and applications in statistical mechanics and algorithm design. Notable research trends include explorations of Condorcet domains in social choice theory, extremal graph/hypergraph problems, and algorithmic solutions for SAT problems. His software contributions include the Umsat SAT-solver and GrafPack, a Mathematica package for graph theory. He has published extensively on topics such as Turán hypergraphs, covering designs, and computational techniques for graph enumeration. Collaborations involve interdisciplinary projects with physicists and computer scientists, reflecting his engagement with both pure and applied mathematics. His research often bridges combinatorial theory with computational experimentation, yielding impactful results in discrete mathematics and beyond.