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Isaac GoldbringView profile

Professor

• Model Theory
• Continuous Model Theory
• Nonstandard Analysis
• +11 more

Isaac Goldbring is a Professor in the Department of Mathematics at the University of California, Irvine (UCI), where he is a leading member of the Logic and Foundations group. He also holds a courtesy appointment in the Department of Logic and Philosophy of Science. His research lies at the intersection of model theory, operator algebras, and nonstandard analysis, with significant contributions to combinatorial number theory and quantum complexity theory. His research interests include: Model theory, particularly continuous and metric model theory Applications of nonstandard analysis to algebra, analysis, and combinatorics Tracial von Neumann algebras and the Connes Embedding Problem Operator algebras and their logical properties Combinatorial number theory and ultrafilters Lie theory and geometric group theory Goldbring’s recent publications reflect a strong trend in applying model-theoretic tools to deep problems in operator algebras and quantum information. His work on the Connes Embedding Problem, especially in connection with the MIP*=RE result, has provided simpler, more direct model-theoretic proofs and stronger refutations. He has also contributed to the logical undecidability of operator algebraic properties and the model theory of C*-algebras and W*-probability spaces. His notable scientific contributions include editing the volume Model Theory of Operator Algebras and authoring influential books such as Ultrafilters throughout Mathematics and Nonstandard Methods in Ramsey Theory and Combinatorial Number Theory . He is the Editor-in-Chief of the Journal of Logic and Analysis . Goldbring currently holds an NSF grant on model theory, quantum complexity, and embedding problems in operator algebras. He has mentored several graduate students, including Ryan Burkhart, Alec Fox, Michael Hehmann, Jennifer Pi, and Jessica Schirle. He has organized major conferences, such as the 2023 North American Annual Meeting of the Association for Symbolic Logic at UCI, and frequently gives invited lectures worldwide. He is actively involved in collaborative research with prominent mathematicians such as Bradd Hart, Ilijas Farah, and Lou van den Dries, and has delivered lecture series at institutions like Yonsei University and the National University of Singapore.

Chandrika SadanandView profile

Assistant Professor

• Low Dimensional Topology
• Geometry
• Hyperbolic Geometry
• +3 more

Chandrika Sadanand is an Assistant Professor in the Department of Mathematics at Bowdoin College. She holds a PhD from Stony Brook University and a BS from the University of Toronto. Her research focuses on low-dimensional topology and geometry, specifically exploring curves on surfaces, hyperbolic geometry, billiards, translation surfaces, and 3-manifolds. She has held postdoctoral positions at the University of Illinois Urbana Champaign, Technion, and Hebrew University of Jerusalem. Dr. Sadanand teaches courses in mathematical reasoning, geometry, and topology. Her recent courses include MATH 2020 (Introduction to Mathematical Reasoning), MATH 2404 (Geometry), and MATH 3402 (Topology). She has also mentored undergraduate research projects on flat surfaces and participated in outreach activities through programs like the Stony Brook Math Summer Camp and WISE. Her research contributions include studies on translation surfaces of infinite type, billiards dynamics, and geometric structures. She has contributed to innovative conferences like the Nearly Carbon Neutral Geometry and Topology Conferences through video presentations. Her work bridges pure mathematics with computational methods, addressing questions in geometric topology and dynamical systems.

Matthew JenssenView profile

Associate Professor

• Discrete Probability
• Probabilistic/Extremal Combinatorics
• Statistical Physics
• +5 more

Matthew Jenssen is a Reader in Probability at King's College London and a UKRI Future Leaders Fellow. He holds a BA and MMath from the University of Cambridge (2012–2013) and a PhD from the London School of Economics (supervised by Jozef Skokan and Julia Boettcher). His research focuses on the intersection of combinatorics, statistical physics, and theoretical computer science, particularly on large-scale structure formation in systems with local interactions. Notable contributions include advancements in sphere packing, Ramsey numbers, and random matrix theory. Jenssen has held postdoctoral positions at the University of Oxford and the University of Birmingham before joining King’s in 2023. His research group at King’s explores discrete probability, extremal combinatorics, and algorithms, with applications to statistical physics and high-dimensional geometry. Key achievements include a groundbreaking improvement on sphere packing lower bounds and resolving extremal questions in graph theory. Jenssen’s work often bridges combinatorial theory with computational methods, yielding impactful results in probabilistic combinatorics. Scientific awards include the UKRI Future Leaders Fellowship (2020). His grants include a 2023–2026 project on statistical physics methods in combinatorics and geometry. Jenssen collaborates widely, with notable co-authors including Will Perkins, Jozef Skokan, and Felix Joos. He is actively involved in the Probability Group at King’s and contributes to international conferences and arXiv publications.

Ruth CharneyView profile

Professor

• Geometric Group Theory
• CAT(0) Spaces
• Hyperbolic Groups
• +4 more

Ruth Charney holds the Theodore and Evelyn Berenson Professorship in Mathematics at Brandeis University. Her research specializes in geometric group theory, particularly CAT(0) spaces, hyperbolic groups, Artin groups, and automorphism groups. She earned her Ph.D. from Princeton University (1977) after undergraduate studies at Brandeis. She previously held positions at Ohio State University, Yale University, and UC Berkeley. Her foundational work explores geometric structures of groups, boundaries of metric spaces, and random group properties. Recent publications focus on outer space constructions for Artin groups, Morse boundary classifications, and acylindrical hyperbolicity in infinite-type groups. Honors include presidencies of the American Mathematical Society (2021-2023) and Association for Women in Mathematics (2013-2015), Polya Lectureship, and multiple fellowships. She has supervised 17 Ph.D. students and secured continuous NSF funding since 2011 for projects on automorphism groups and geometric structures. She organized major conferences including Artin groups workshops at MSRI and Oberwolfach, and serves on advisory boards for CRM Montreal, MSRI, and multiple NSF panels. Her outreach includes lectures at international conferences and programs advancing women in mathematics.

Jonathan PakianathanView profile

Professor

• Algebraic Topology
• Cohomology of Groups
• Lie Algebras
• +3 more

Jonathan Pakianathan is a Professor of Mathematics at the University of Rochester's School of Arts & Sciences, Department of Mathematics. He holds a PhD from Princeton University (1997) and a BS in Mathematics and Physics from Caltech (1992). His research focuses on algebraic topology, cohomology of groups and Lie algebras, geometric combinatorics, and finite fields. He has held leadership roles, including Director of Graduate Studies (2014–2020) and Director of Undergraduate Studies (2003–2010). Notable awards include the Goergen Award for Excellence in Teaching (2014) and the Sloan Foundation Doctoral Dissertation Fellowship (1996). His research explores applications of topology and algebra in discrete geometry, often collaborating with Alex Iosevich and students. Recent work addresses topics like Fuglede's conjecture over finite fields, geometric configurations, and probabilistic methods in combinatorics. His articles frequently intersect harmonic analysis, group theory, and number theory, reflecting interdisciplinary strengths. Education : PhD, Princeton University, 1997 BS in Mathematics and Physics, Caltech, 1992 Awards : Goergen Award for Excellence in Undergraduate Teaching, 2014 Sloan Foundation Doctoral Dissertation Fellowship, 1996 H. J. Ryser Scholarship, 1991 Grants include an NSA Mathematical Sciences Grant (2016–2017, $110,000 total) with A. Iosevich. He advises numerous PhD students, many of whom now hold academic or research positions. His teaching spans undergraduate to graduate courses, including algebra, topology, and financial mathematics. Research groups and collaborations extend to geometric combinatorics, algebraic topology, and applications in physics and data science. Ongoing projects explore topological methods in discrete geometry and probabilistic structures over finite fields.

Stephen TheriaultView profile

Professor

• Homotopy Theory
• Algebraic Topology
• Manifolds
• +4 more

Professor Stephen Theriault is a homotopy theorist at the University of Southampton since 2015. His research spans homotopy theory, Lie groups, gauge groups, and manifolds, with a focus on polyhedral products and toric topology. PhD and MSc from University of Toronto (1991-97) Postdoctoral Fellowships at MIT, University of Illinois at Chicago, and University of Virginia Previous roles at University of Aberdeen (2002-12) Research Interests include: Homotopy theory of spheres and Moore spaces Applications to Lie groups, gauge groups, and manifolds Polyhedral products and toric topology Current projects on loop space decompositions and homotopy types Publications emphasize homotopy classifications, geometric topology, and algebraic structures in distributed computing. Recent work explores Steenrod's problem , quasitoric manifolds , and open book decompositions . Teaching includes MATH1059 Calculus and supervision of BSc/MMath projects. PhD Supervision involves students like Briony Helen Eldridge and Lewis Richard Stanton.

Erik DemaineView profile

Professor

• Algorithms
• Computational Geometry
• Complexity Theory
• +5 more

Erik Demaine is a Professor in the Department of Electrical Engineering and Computer Science at MIT, affiliated with the Computer Science and Artificial Intelligence Laboratory (CSAIL), the Theory of Computation group, and the Algorithms Group. His research spans algorithms, computational geometry, folding, robotics, complexity theory, and interdisciplinary connections between mathematics and art. He received the MacArthur Fellowship ("genius grant") for his work on folding and computation. Demaine's work includes co-authoring books such as Geometric Folding Algorithms and Games, Puzzles, and Computation . His art collaborations with his father Martin Demaine, including curved-crease sculptures, are in the permanent collections of the Museum of Modern Art (MoMA) and the Renwick Gallery. He is also involved in software projects like Coauthor and Cocreate, supporting collaborative research and education. His research interests include folding and unfolding of geometric structures, computational complexity of games, protein folding, and algorithm design. He has contributed to areas like data structures, robotics, and network computing, with a focus on bridging theoretical computer science and tangible applications. Demaine holds patents and has been recognized with numerous awards, including the NSERC Doctoral Prize and the Gödel Prize. His work often involves supercollaboration, emphasizing open problem-solving and interdisciplinary approaches.

Alfonso SorrentinoView profile

Professor

• Hamiltonian Dynamical Systems
• Nonlinear Analysis
• Differential Geometry
• +3 more

Alfonso Sorrentino is a full professor of mathematical analysis at the Department of Mathematics, University of Rome Tor Vergata. He specializes in Hamiltonian dynamical systems, with expertise in nonlinear analysis, differential geometry, and mathematical physics. He earned his Ph.D. in mathematics from Princeton University (2008) and held academic positions at the Fondation des Sciences Mathématiques de Paris (2008–2009) and the University of Cambridge (2009–2012). His research focuses on invariant structures in Hamiltonian systems, billiard dynamics, and spectral rigidity. Key recognitions include the Fubini Prize (2018), Barcelona Dynamical Systems Prize (2019), Best Paper Award (Gold medal, 2020), and Frontiers of Science Award (2023). His work bridges pure mathematics and applications, emphasizing geometric and analytic approaches to dynamical systems. Recent studies explore topics like invariant Lagrangian graphs, spectral properties of billiards, and homogenization of Hamilton-Jacobi equations on networks. His contributions reflect a commitment to advancing theoretical frameworks in dynamical systems and their interdisciplinary implications.

• Quantum Topology
• Low-Dimensional Topology
• Hyperbolic Geometry
• +3 more

Dr. Tian Yang is an Associate Professor in the Department of Mathematics at Texas A&M University , part of the College of Arts & Sciences . His research focuses on Quantum Topology, Hyperbolic Geometry, and Low-Dimensional Topology , with significant contributions to the study of quantum invariants, Turaev-Viro invariants, and geometric structures of 3-manifolds. Education & Professional Background: While specific degree details are not explicitly provided, his academic trajectory is reflected through extensive involvement in global research collaborations and teaching roles at Texas A&M. He has taught specialized courses like Quantum Topology and Geometric Topology . Research Interests: Dr. Yang’s work bridges algebraic and geometric topology, emphasizing: Quantum Invariants: Analysis of Turaev-Viro and Reshetikhin-Turaev invariants, their asymptotic behavior, and connections to hyperbolic volume. Hyperbolic Geometry: Investigations into hyperbolic polyhedral manifolds, cone metrics, and geometric rigidity. Topological Dynamics: Exploring surface diffeomorphism groups and their quantum invariant asymptotics. Publications: His recent work includes groundbreaking studies on the Volume Conjecture , asymptotics of 6j-symbols, and geometric-topological applications of quantum field theory. Key papers appear in Advances in Mathematics , Journal of Differential Geometry , and Communications in Mathematical Physics . Professional Engagement: He has delivered over 50 invited lectures globally, including at the International Congress of Basic Science (2025) and the Banff International Research Station . His research has been supported through collaborations with institutions like the Chern Institute of Mathematics and the Mathematical Sciences Center at Tsinghua University. Teaching & Mentorship: While specific student advisees are not listed, his courses reflect advanced topics in topology and geometry. He has organized summer schools and workshops in China and the U.S., fostering global academic exchange.

Rob SilversmithView profile

Lecturer

• Algebraic Geometry
• Moduli Spaces
• Tropical Geometry
• +7 more

Rob Silversmith is a Warwick Zeeman Lecturer in the Warwick Mathematics Institute at the University of Warwick, with a focus on algebraic geometry and combinatorics. Starting Fall 2025, he will transition to an Assistant Professor role at Emory University. His academic journey includes a Ph.D. from the University of Michigan (2017), advised by Yongbin Ruan, and postdoctoral positions at Northeastern University and the Simons Center for Geometry and Physics. His research interests span algebraic geometry—particularly moduli spaces of curves, tropical geometry, and combinatorial structures—as well as connections to string theory, geometric rigidity, and dynamics. Key contributions include work on Gromov-Witten invariants, cross-ratio degrees, and the T-graph of Hilbert schemes. His recent publications (2021–2025) explore topics such as moduli spaces, tropical geometry, and combinatorial algebraic geometry, reflecting a blend of geometric and computational methods. Notable collaborations include work with R. Cavalieri, T. Kelly, and R. Ramadas on projects like Genus-zero r-spin theory and Equations at infinity for critical-orbit-relation families of rational maps . Rob has advised no listed graduate students but has contributed to interdisciplinary projects involving computer-aided conjecture-making. His scholarly activities include organizing seminars and maintaining an active presence in geometric research communities. He is affiliated with the Warwick Mathematics Institute and holds a position in the Zeeman Building. His work frequently intersects with combinatorial and computational approaches to algebraic geometry, emphasizing explicit polynomial constructions and data-driven conjectures.

• Low-dimensional Topology
• Geometric Group Theory
• Mapping Class Groups
• +2 more

Sebastian Hensel is a Professor of Pure Mathematics at the Mathematical Institute of Ludwig Maximilian University of Munich (LMU), where he also serves as the Dean of Studies. His research focuses on the intersection of low-dimensional topology and geometric group theory, with emphasis on mapping class groups, handlebody groups, and diffeomorphism groups of surfaces. He leads the Geometry and Topology Working Group and is actively involved in teaching advanced seminars. Hensel received his PhD from the University of Bonn in 2011 under Ursula Hamenstädt. Before joining LMU, he held positions as a Dickson Instructor at the University of Chicago and as a temporary academic councilor in Bonn. His research employs geometric methods to study algebraic structures in topological spaces, particularly surfaces and 3-manifolds. Scientific Awards: Dickson Instructor Fellowship, University of Chicago Teaching & Advising: Hensel regularly teaches courses on Riemannian geometry, geometric group theory, and manifold topology. He currently advises bachelor and master's theses in geometry/topology and organizes block seminars. As Dean of Studies, he oversees academic programs at the Mathematical Institute. Affiliations: Member of the Geometry and Topology Group at LMU, with collaborations spanning multiple institutions including TUM and international partners.

• Combinatorial algebraic geometry
• Computational commutative algebra
• Rigidity theory
• +3 more

Jessica Sidman holds the Brian E. Boyle Professorship in Mathematics and Computer Science at Amherst College, with adjunct affiliations at University of Massachusetts Amherst. Her research bridges computational algebra, algebraic geometry, combinatorics, and applications in rigidity theory. She explores geometric problems through polynomial systems, with applications in computer-aided design, architecture, and robotics. Teaching spans foundational courses from calculus to abstract algebra, alongside electives like computational algebraic geometry. Education : Ph.D. University of Michigan (2002) M.S. University of Michigan (1999) B.A. Scripps College (1997) Research Trends : Focuses on nonlinear polynomial systems in geometric problems, with recent work connecting rigidity theory to robotics formations and architectural design. Her computational methods address real-world applications while advancing theoretical frameworks in algebraic geometry. Awards : Recognized with the AWM Distinguished Speaker honor (2022) and Merten M. Hasse Prize (2021), alongside NSF grants and teaching awards including the Meribeth E. Cameron Faculty Award (2012). Advising & Grants : Active mentor with NSF funding history. Currently on research leave 2024-2025.

Idun ReitenView profile

Professor

• Representation Theory
• Algebra
• Commutative Algebra
• +7 more

Idun Reiten is a Professor of Mathematics at the Norwegian University of Science and Technology (NTNU), where she has been a faculty member since 1974. Born on January 1, 1942, she earned her Master's degree in Mathematics from the University of Oslo (1968) and her Ph.D. from the University of Illinois (1971), advised by Robert Fossum. Her research focuses on representation theory of algebras, tilting theory, and cluster algebras, with over 130 publications and a seminal book co-authored with Maurice Auslander and Sverre Smalø, *Representation Theory of Artin Algebras* (1995). Key academic roles and recognitions include: Elected to the Royal Swedish Society of Science and Letters (2007) Recipient of the Humboldt Research Prize (2005), Möbius Prize (2007), and Fridtjof Nansen Award (2009) Delivered the 2010 Emmy Noether Lecture at the International Congress of Mathematicians Member of the Norwegian Academy of Science and Letters Research.com Leader in Mathematics for Norway (2024, 2025) Her research contributions include foundational work in tilting theory, cluster-tilted algebras, and the study of Cohen-Macaulay modules. Her work bridges algebra, combinatorics, and geometry, with applications in categorical structures and representation theory.

Sebastian van StrienView profile

Professor

• Dynamical Systems
• Pure Mathematics
• Applied Mathematics
• +4 more

Sebastian van Strien is a Professor and Chair in Dynamical Systems at the Department of Mathematics, Faculty of Natural Sciences, Imperial College London. His research focuses on Dynamical Systems, with emphasis on low-dimensional dynamics, applications to economics, and complex systems. He leads the Dynamical Systems group and is affiliated with the CNRS-Imperial Abraham de Moivre UMI. His work spans pure and applied mathematics, including contributions to renormalization theory, entropy dynamics, and network analysis. He has supervised numerous PhD students and holds an ERC Advanced Grant. Key publications include studies on coupled maps, holomorphic dynamics, and entropy monotonicity. His research bridges theoretical foundations with real-world applications in networks and economic models. Research interests include nonlinear dynamics , chaos theory , and interdisciplinary applications. Notable contributions include work on universality in period-doubling, transversality in hyperbolic systems, and data-driven analysis of critical transitions. He collaborates internationally, organizing conferences such as the International conference in honor of Jean-Marc Gambaudo . His monograph One-Dimensional Dynamics (with Welington de Melo) remains a foundational text in the field. Current projects explore sparse network dynamics and quasiconformal rigidity. Grants: ERC Advanced Grant, CNRS collaborations. Labs/Teams: Dynamical Systems Group, CNRS-Imperial UMI.

• Statistical Mechanics
• Probability Theory
• Discrete Geometry
• +3 more

Richard Kenyon is the Erastus L. DeForest Professor of Mathematics at Yale University, serving as Director of Undergraduate Studies. His research focuses on statistical mechanics, probability, and discrete geometry, with notable contributions to dimer models, random tilings, and integrable systems. He has explored topics such as limit shapes, phase transitions, and combinatorial configurations. His work intersects algebraic geometry, combinatorics, and mathematical physics, often involving the analysis of lattice models and their applications. His research includes open problems such as tiling optimization, geometric spanning surfaces, number theory questions, and rigidity of tilings. Kenyon's gallery showcases visualizations of mathematical concepts, including random triangulations, Vinnikov curves, and conformal mappings. His academic contributions span over three decades, with recent articles addressing dimers, webs, and eigenvalue properties. He actively collaborates on projects like the six-vertex model, multiwebs, and renormalizable dynamical systems. Kenyon’s academic service includes directing undergraduate studies at Yale and contributing to initiatives in discrete differential geometry. His work highlights the interplay between pure mathematics and applied probability, with applications in physics and combinatorial optimization.