جست‌وجوی استاد و پژوهشگر

• Applied Topology
• Dynamical Systems
• Algebraic Topology
• +۵ مورد دیگر

Robert Ghrist is the Andrea Mitchell University Professor at the University of Pennsylvania with dual appointments in the Department of Mathematics and the Department of Electrical and Systems Engineering. He serves as Associate Dean for Undergraduate Education for Penn Engineering. His educational background includes a B.S. in Mechanical Engineering from the University of Toledo (1991), and M.S. and Ph.D. degrees in Applied Mathematics from Cornell University (1994, 1995). Ghrist's research bridges pure and applied mathematics, focusing on applied algebraic topology , dynamical systems , and geometric methods in data science. His work extends to network theory, topological data analysis, and computational geometry, with applications spanning robotics, neuroscience, and social dynamics. Key innovations include developing sheaf-theoretic approaches for networked systems and persistence homology techniques for high-dimensional data. Analysis of his recent publications reveals a strong emphasis on lattice-theoretic frameworks , topological robotics , and network dynamics , with emerging applications in neural data interpretation and geometric computing. His research consistently integrates category theory with real-world engineering challenges. Significant scientific recognition includes: Presidential Early Career Award (PECASE, 2004) Scientific American 'Top 50' Research Leader (2007) Mathematical Association of America's Chauvenet Prize (2013) University of Pennsylvania Lindback Award for Distinguished Teaching (2015) DoD National Security Science and Engineering Faculty Fellowship (NSSEFF, 2015) Ghrist leads multiple federally funded research initiatives supported by AFOSR, DARPA, NSF, and ONR. He directs the development of educational tools including the Calculus BLUE/GREEN Project video series and custom GPTs for mathematical pedagogy. His open online courses have reached over 100,000 learners globally.

Paul Goldbergمشاهده پروفایل

استاد

• Algorithmic Game Theory
• Computational Complexity Theory
• Machine Learning
• +۳ مورد دیگر

Paul Goldberg is a Professor of Computer Science and Director of the MSc in Mathematics and Foundations of Computer Science (MFoCS) at the University of Oxford. He holds a BA in Mathematics from Oxford University and a PhD in Computer Science from the University of Edinburgh. His research focuses on algorithmic game theory, computational complexity, and machine learning, with notable contributions to equilibrium computation, complexity classes of total search problems, and decentralized systems. Affiliations: Department of Computer Science, Oxford; Editorial Board of ACM Transactions on Economics and Computation. Education: PhD in Computer Science (1993), University of Edinburgh MSc in Computer Systems Engineering (1989), University of Edinburgh and Université Paris-Sud BA in Mathematics (1988), Oxford University Research Interests: Algorithmic game theory, computational complexity (especially total search problems like CLS and PPAD), decentralized computation of equilibria, and applications in machine learning and AI. His work bridges theoretical computer science and economics, with a focus on algorithm design and complexity analysis. Publications and Awards: Over 120 papers, including influential work on Nash equilibrium complexity (2009), gradient descent (2023), and fair division algorithms. Notable awards include the ACM SIGecom Test of Time Award (2022) and a SIAM Outstanding Paper Prize (2011). Grants and Students: Leads EPSRC-funded projects on game theory and machine learning. Supervised 11 PhD graduates and currently advises Giannis Tyrovolas and others. Active in mentoring MSc and undergraduate projects. Labs/Teams: Part of the Algorithms and Complexity Theory group at Oxford, contributing to research on optimization, equilibrium dynamics, and fair division.

Laura Andersonمشاهده پروفایل

دانشیار

• Combinatorics
• Topology
• Matroid Theory
• +۳ مورد دیگر

Laura Anderson is an Associate Professor in the Department of Mathematics at Binghamton University. She holds a Ph.D. from MIT (1994) and has been affiliated with Binghamton since 2001. Her research focuses on Combinatorics and Topology, with a specialization in matroid theory, hyperplane transversals, and topological combinatorics. She teaches advanced courses such as Introduction to Combinatorics (Math 511) and Discrete Mathematics (Math 314). Her academic contributions include groundbreaking work on oriented matroids, combinatorial Grassmannians, and hyperfield applications. Anderson has advised multiple Ph.D. students, including Olakunle Abawonse, Ulysses Alvarez, and Leandro Junes, whose theses explore topics like matroid extensions and tropical phased matroids. She actively participates in academic conferences, co-organizing the Binghamton University Graduate Conference in Algebra and Topology (BUGCAT). Anderson’s research integrates algebraic topology with discrete mathematics, addressing geometric realizations, hyperfield structures, and topological invariants. Her pedagogical innovations include experimenting with flipped classroom methods in calculus education. She maintains an active presence in academic service, contributing to journal reviews and editorial work in combinatorial geometry.

Tom Leinsterمشاهده پروفایل

استاد

• Category Theory
• Metric Geometry
• Algebra
• +۳ مورد دیگر

Tom Leinster is a mathematician at the University of Edinburgh, specializing in category theory, metric geometry, and their applications to areas such as algebra, topology, and mathematical biology. His research focuses on the concept of magnitude, a measure for metric spaces and enriched categories, as well as entropy and diversity. He has authored influential books including *Basic Category Theory* and *Entropy and Diversity: The Axiomatic Approach*. Leinster's work bridges foundational mathematics with interdisciplinary applications, emphasizing the interplay between abstract structures and concrete problems. His research interests span category theory, metric geometry, algebraic topology, and mathematical biology. Key contributions include foundational work on magnitude and its connections to geometric measure theory, entropy characterization, and categorical frameworks for diversity measurement. Leinster also engages in mathematical education and ethics, advocating for responsible research practices. Notable publications include recent advancements in magnitude homology of Euclidean sets, extremal magnitude in metric spaces, and entropy modulo primes. His work often highlights interdisciplinary applications, such as biodiversity quantification and information-theoretic foundations.

Tobias Müllerمشاهده پروفایل

استاد

• Combinatorics
• Probability Theory
• Random Graphs
• +۵ مورد دیگر

Prof. Tobias Müller is a Professor at the Bernoulli Institute for Mathematics, Computer Science and Artificial Intelligence at the University of Groningen. His academic journey includes previous positions at Utrecht University, CWI (Centrum Wiskunde & Informatica), Tel Aviv University, and Eindhoven University of Technology, with a doctorate from the University of Oxford under Colin McDiarmid. His research focuses on combinatorics, probability theory, random graphs, percolation, discrete and stochastic geometry, and combinatorial game theory. He has contributed extensively to understanding complex networks, hyperbolic models, and geometric random structures. Research Interests: Random Graphs and Percolation Theory Discrete and Stochastic Geometry Hyperbolic Network Models Probabilistic Combinatorics Geometric Probability Graph Algorithms and Connectivity Notable Contributions: Analysis of Voronoi and Poisson-Voronoi percolation in hyperbolic planes. Studies on Mallows random permutations and their cycle structures. Research on component games and logical limit laws in graph theory. Investigations into the geometry and properties of random geometric graphs. Grants & Collaborations: Active in organizing workshops and conferences on random graphs and geometric networks, including the BIRS Workshop on Random Geometric Graphs and the STAR Workshops series. Labs/Teams: Member of the Bernoulli Institute’s research groups, focusing on stochastic studies, combinatorics, and algorithmic methods.

Dmitri Panovمشاهده پروفایل

استاد

• Complex Geometry
• Symplectic Geometry
• Hyperbolic Geometry
• +۳ مورد دیگر

Professor Dmitri Panov is a Professor of Geometry at King's College London, part of the Faculty of Natural, Mathematical & Engineering Sciences. He holds a PhD from École Polytechnique (2005) and has held academic positions including Royal Society Research Fellow (2010–2012), Senior Research Fellow (2012–2015), and Reader (2015–2020) at King’s College. His research focuses on complex, symplectic, and hyperbolic geometry, with a particular emphasis on polyhedral Kahler structures and definite connections. Education: Bachelor’s degree from Moscow State University (1998) PhD from École Polytechnique, France (2005) Research Interests: Panov studies geometric structures such as polyhedral Kahler manifolds and definite connections. His work bridges algebraic, differential, and symplectic geometry, with applications to moduli spaces, spherical metrics, and geometric analysis. Grants & Projects: EPSRC Grant: Kaehler manifolds of constant curvature with conical singularities (2019–2023) Royal Society Grant: Polyhedral Kahler Geometry (2017–2018) Geometric structures on manifolds (2015–2018) Events: Panov has participated in events like the Mathematics Inaugural Lecture (2023) and PhD program introductions, emphasizing his role in academic leadership and outreach.

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

Sira Helena Gratz is an Associate Professor at the Department of Mathematics, Aarhus University. Her research focuses on advanced topics in algebra and category theory, particularly cluster algebras, singularity categories, and tilting theory. She has published extensively in leading journals such as the Journal of the London Mathematical Society and Mathematische Zeitschrift. Her work often involves collaborations with other mathematicians, including G. Stevenson and A. Zvonareva. Her recent publications explore cluster structures for infinite singularities, lattices of t-structures in discrete cluster categories, and homotopy invariants in singularity categories. These works intersect with subfields like representation theory, homological algebra, and noncommutative geometry. Contact: sira@math.au.dk | Phone: +45 87 15 17 98 | Address: Aarhus C, 1530-428

Florian Strunkمشاهده پروفایل

استاد

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

Florian Strunk is a Professor in the Department of Mathematics at the University of Regensburg, working within the Faculty of Mathematics. His office is located in room M219 (phone: +49 941 943 2768) and his contact email is florian.strunk@ur.de. Dr. Strunk's research spans several interconnected areas of modern mathematics, with primary focus on Algebraic Geometry, Arithmetic Geometry, and Homotopy Theory. He has developed specialized expertise in Algebraic K-Theory, Motivic Homotopy Theory, and Derived Algebraic Geometry. His scholarly work bridges classical algebraic geometry with contemporary homotopy-theoretic methodologies, advancing our understanding of structural properties of algebraic varieties and schemes. His publication record demonstrates consistent contributions to Algebraic K-Theory and motivic homotopy theory, with significant work on descent properties, connectivity in motivic contexts, and algebraic cycles. His collaborative research with prominent mathematicians like Moritz Kerz and Georg Tamme has appeared in top-tier journals including Inventiones Mathematicae and Compositio Mathematica. As an educator, Dr. Strunk teaches across the mathematics curriculum, from foundational undergraduate courses to advanced graduate seminars. His teaching portfolio includes Algebraic Geometry I and II, Mathematics of Machine Learning, Introduction to Quantum Computing Mathematics, and specialized seminars on Algebraic K-Theory. He has developed comprehensive lecture notes for several courses, reflecting his commitment to effective pedagogy.

• Algebraic Topology
• Functional Analysis
• Non-Commutative Geometry
• +۷ مورد دیگر

Dr. Paul Mitchener is a Lecturer at the University of Sheffield within the School of Mathematical and Physical Sciences . He serves as the MSc Mathematics Admissions Tutor and Course Director , contributing to both research and postgraduate education. His research lies at the intersection of Algebraic Topology and Functional Analysis , with a focus on non-commutative geometry, K-theory, index theory, and coarse geometry. He has explored applications of these areas to problems in operator algebras and topology, particularly through work on the Baum-Connes conjecture, Novikov conjecture for semigroups, and coarse homotopy groups. The 15 most recent publications highlight trends in his work: (1) Coarse Geometry (2020, 2001), (2) Novikov Conjecture (2018, 2011), (3) KK-Theory and C*-Categories (2002, 2007), (4) E-Theory (2020), and (5) Descent Techniques (2012, 2010). These works frequently involve analytical methods in topological problems.

Tien Chihمشاهده پروفایل

استادیار

• Algebraic Combinatorics
• Categorical Combinatorics
• Graph Theory
• +۶ مورد دیگر

Tien Chih is an Assistant Professor of Mathematics at Oxford College, a unit of Emory University. He previously taught at Newberry College and Montana State University Billings (MSUB) after earning his PhD in Mathematics from the University of Montana (2014). His work bridges pure mathematics and education innovation. Education: BA (University of Hawaii at Hilo, 2007), MA (University of Montana, 2009), PhD (University of Montana, 2014) Research focuses on discrete homotopy theory , particularly ×-homotopy of graphs, and its connections to groupoids and categorical combinatorics . He creates open educational resources (OERs) and EdTech tools for interactive learning, with emphasis on undergraduate research mentorship. Recent publications explore graph homotopy categories, fundamental groupoids for graphs, and innovative teaching methods like asynchronous inquiry-based learning. His mathematical outreach includes community collaboration and a MAA-funded Math Circle program. Scientific awards: CURM funding for undergraduate research, MAA grant for Math Circle He supervises undergraduate research projects and develops open educational resources to bridge the gap between mathematics' reputation and its accessible content.

Nathalie Wahlمشاهده پروفایل

استاد

• Algebraic Topology
• Mapping Class Groups
• Topological Field Theory
• +۷ مورد دیگر

Nathalie Wahl is a Professor at the Department of Mathematical Sciences, University of Copenhagen, and serves as the Center Director for the Copenhagen Centre for Geometry and Topology (GeoTop). Her research focuses on algebraic topology, particularly mapping class groups of surfaces and 3-manifolds, homological stability, topological field theory, and loop spaces. PhD from Oxford University (2001) Current leadership of GeoTop (since 2020) Her recent work explores homological stability across automorphism groups, string topology, and structured algebras. Key collaborations include Allen Hatcher, Craig Westerland, and Nancy Hingston. She has received prestigious awards such as the ERC Consolidator Grant and the Young Elite Researcher Award. ERC Consolidator Grant (2018-2023) Female Research Leader Scholarship (2009-2013) Marie Curie European Fellowship (2003-2004)

Yu Yangمشاهده پروفایل

مدرس

• Algebraic Geometry
• Arithmetic Geometry
• Anabelian Geometry
• +۳ مورد دیگر

Yu Yang is a Project Lecturer at the Research Institute for Mathematical Sciences (RIMS) , Kyoto University , Japan. He works in algebraic and arithmetic geometry , with a focus on curves and their moduli spaces in positive characteristic , using fundamental groups to study anabelian phenomena. His research is supported by JSPS KAKENHI grants. Education : PhD from RIMS, Kyoto University (2017), supervised by Shinichi Mochizuki . Research Interests : Yang's work centers on anabelian geometry in positive characteristic, exploring the interplay between topological/combinatorial structures of curves and their fundamental groups. He developed a theory of moduli spaces of fundamental groups to unify anabelian phenomena, inspired by Tamagawa's finiteness theorem. His methods combine algebraic geometry, group theory, and moduli space analysis. Article Trends : His publications and preprints emphasize moduli spaces of fundamental groups, tame/semi-stable reductions, Hasse-Witt invariants, and combinatorial approaches to anabelian geometry. Collaborations include work with Zhi Hu and Runhong Zong on moduli spaces and topology. Grants : Funded by JSPS KAKENHI grants 16J08847 , 20K14283 , and 24K16896 (since April 2024). Conferences : Co-organized the Fundamental groups: Geometry and Arithmetic workshop (2019) and multiple Kyoto+ Workshops with international participants. Teaching : Lecturer roles at Doshisha University (Algebraic Structures), Kyoto Institute of Technology (Linear Algebra), and Sennan University (Mathematical Foundations).

Daniel Berwick-Evansمشاهده پروفایل

دانشیار

• Supersymmetric Quantum Field Theory
• Differential Geometry
• Algebraic Topology
• +۳ مورد دیگر

Daniel Berwick-Evans is an Associate Professor in the Department of Mathematics at the University of Illinois at Urbana-Champaign (UIUC), part of the College of Liberal Arts & Sciences. He holds a PhD from UC Berkeley (2013) and previously served as a Szego Assistant Professor at Stanford University (2013–2015). His research bridges supersymmetric quantum field theories with differential geometry and algebraic topology. Education: PhD in Mathematics, UC Berkeley, 2013 Research Interests: Explores geometric and topological structures in supersymmetric field theories, including topics like elliptic cohomology, string structures, and localization techniques. His work integrates advanced tools from category theory, homotopy theory, and computational geometry. Recent Research Trends: Publications span theoretical frameworks (e.g., infinity-sheaves, modularity) and applied methods (e.g., discrete exterior calculus). Themes include higher categorical structures and their applications to physics. Awards & Grants: No awards explicitly listed in the text. Grants or funding details are not provided. Labs/Teams: No specific lab affiliations or research teams mentioned, though collaborations with co-authors like Eric Cliff and Arjun Nakade are evident from publications.

Anna Wienhardمشاهده پروفایل

استاد

• Discrete Subgroups of Lie Groups
• Deformation Spaces of Geometric Structures
• Representation Varieties
• +۶ مورد دیگر

Prof. Anna Wienhard holds the position of Professor at the Mathematical Institute of Heidelberg University since 2012, where she leads the Differential Geometry research group. She is also Scientific Director of the Research Station Geometry and Dynamics (since 2020) and Co-Spokesperson of the Excellence Cluster STRUCTURES (since 2019). She serves as a Group Leader at the Heidelberg Institute for Theoretical Studies (HITS) since 2015 and chairs the Heidelberg Laureate Forum Foundation. Her roles include editorships for journals like Annales Henri Lebesgue, Annales scientifiques de l'Ecole Normale Supérieure, and Geometric and Functional Analysis. Anna Wienhard earned dual degrees in theology and mathematics from the University of Bonn (2003/2004). After a theological research phase supported by the CRC 'Judaism – Christianity', she completed her PhD in mathematics at the University of Bonn in 2004. She held positions as a Dickson Instructor at the University of Chicago (2005–2007), postdoctoral research at the Institute for Advanced Study (IAS) in Princeton (2005–2006, 2009–2012), and was an Assistant Professor at Princeton University (2007–2012). She also served as Director of Graduate Studies at Princeton (2007–2010). Her research focuses on discrete subgroups of Lie groups , deformation spaces , representation varieties , Anosov representations , higher Teichmüller theory , and positivity in Lie groups . She explores these areas with interdisciplinary applications in physics and data science. Notable projects include the ERC Consolidator Grant (2014) and leadership in the DFG Excellence Cluster 2181 and Graduiertenkolleg 2229. Her work has been recognized through awards such as the Sloan Research Fellowship (2012–2014) and Fellow of the American Mathematical Society . She has organized workshops on topics like Ergodic Decompositions, Flat Conformal Lorentzian Structures, and Ratner's Theorem. Her grants span DFG-funded initiatives and international collaborations, including the GEAR Network and MSRI programs. She is actively involved in editorial roles, academic committees, and interdisciplinary research activities. Prof. Wienhard advises doctoral candidates and oversees research groups. She collaborates with institutions such as the IAS, Technical Universities in Munich and Ingolstadt, and the Berlin-Brandenburg Academy of Sciences. Her research group at Heidelberg University specializes in differential geometry, and she contributes to the Excellence Cluster’s unifying approach to emergent phenomena across mathematics and physics.

Carmen Galaz Garcíaمشاهده پروفایل

عضو هیئت علمی

• Environmental Data Science
• Remote Sensing
• Machine Learning in Ecology
• +۳ مورد دیگر

Carmen Galaz García is an Assistant Teaching Professor at the Bren School of Environmental Science & Management at UC Santa Barbara. She teaches data science courses including EDS 220 and capstone projects, emphasizing accessible technical education and DEIJ initiatives. Previously, she worked at the National Center for Ecological Analysis and Synthesis (NCEAS), analyzing remote sensing data and developing educational resources. Carmen holds a Ph.D. in Mathematics (UCSB) and a B.Sc. in Mathematics from the University of Guanajuato/CIMAT, Mexico. Her research focuses on environmental data science applications such as invasive species mapping using machine learning and geospatial analysis. She actively contributes to reproducible workflows in Python and collaborates on topological data analysis in environmental contexts. Professional affiliations include NCEAS and Bren School's environmental data programs. Education: Ph.D. in Mathematics, UC Santa Barbara (2021) B.Sc. in Mathematics, Universidad de Guanajuato/CIMAT (2015) Research emphasizes interdisciplinary approaches combining mathematics, ecology, and data science to address environmental challenges. She leads capstone projects integrating real-world environmental datasets and mentors students through collaborative data science workflows.