جست‌وجوی استاد و پژوهشگر

• Homotopy Theory
• Algebraic Topology
• Quantum Field Theory
• +۴ مورد دیگر

Dmitri Pavlov is an Associate Professor in the Department of Mathematics and Statistics at Texas Tech University, where he has been since 2017 (promoted to tenured Associate Professor in 2024). His research focuses on homotopy theory, algebraic topology, and their applications to quantum field theory. He earned his Ph.D. from UC Berkeley (2011) and held postdoctoral positions at the University of Regensburg, Max Planck Institute, and University of Münster. Pavlov has supervised multiple Ph.D. students and actively engages in teaching advanced courses like Lie Groups, Homological Algebra, and Functorial Field Theory. His awards include the Herb Alexander Prize (2011) and a Simons Fellowship (2007–2008). Pavlov’s work bridges pure mathematics with theoretical physics, particularly through geometric cobordism hypothesis and extended field theories. He collaborates widely, co-authoring papers on topics like classifying spaces of infinity-sheaves and symmetric operads in spectra. His recent research emphasizes locality principles in quantum field theories and their classification via homotopy-theoretic methods. Education: B.S./M.S. (2006/2007) from ITMO University, Ph.D. (2011) from UC Berkeley. Academic lineages trace back to prominent mathematicians like Peter Teichner and Friedrich Hirzebruch. Current research includes geometric field theory, differential cohomology, and higher categorical structures. Pavlov organizes the Quantum Homotopy Seminar and Topology & Geometry Seminar at Texas Tech, and has delivered invited talks globally at institutions like the Erwin Schrödinger Institute and University of Nottingham.

Nick Gurskiمشاهده پروفایل

دانشیار

• Higher Categorical Algebra
• Algebraic Topology
• Stable Homotopy Theory
• +۳ مورد دیگر

Nick Gurski is an Associate Professor & Associate Chair in the Department of Mathematics, Applied Mathematics, and Statistics at Case Western Reserve University, located in Cleveland, Ohio. He holds a Ph.D. from the University of Chicago and is based at 2145 Adelbert Rd, Room 202D. His research focuses on higher categorical algebra, including monoidal structures in 2- and 3-dimensional categories, applications to stable homotopy theory and topological quantum field theory, and generalizations of traditional algebraic structures to higher categories. His work spans topics such as module theory, bialgebra-like structures, homological algebra, and homotopy coherent structures in higher categories. Notable contributions include studies on pseudomorphisms, opetopic categories, and the symmetric monoidal 2-category framework. Gurski also explores interdisciplinary applications, such as using algebraic topology and machine learning to analyze brain network dynamics through platforms like MaTiLDA. His publications reflect a deep engagement with foundational category theory, including coherence theorems, topological invariants, and K-theory for 2-categories. Recent work (2021–2025) highlights advancements in neural mosaics, persistent homology for epilepsy analysis, and flipped teaching methodologies. Gurski’s research bridges pure mathematics with applied fields, emphasizing the utility of higher categorical frameworks in diverse contexts.

Karen Vogtmannمشاهده پروفایل

استاد

• Geometric Group Theory
• Moduli Spaces
• Algebraic Topology
• +۳ مورد دیگر

Karen Vogtmann is a Professor of Mathematics at the University of Warwick, affiliated with the Department of Mathematics within the Faculty of Science. She is currently on study leave for the 2024/25 academic year but remains an active faculty member. Her research focuses on geometric group theory, moduli spaces, and the topology of automorphism groups of free groups, with significant contributions to the theory of Outer space and its applications. Her work bridges algebra, topology, and geometry, often exploring connections to mathematical biology and physics. Notable research includes analyzing moduli spaces of graphs, CAT(0) structures, and Euler characteristics of Out(F_n). Her publications frequently appear in top-tier journals like Advances in Mathematics and Duke Mathematical Journal . Her recent articles emphasize the geometric properties of Outer space, bordifications, and the interplay between algebraic structures (e.g., right-angled Artin groups) and geometric spaces. She has collaborated extensively, addressing topics like finite subgroups of automorphism groups and quantum field theory techniques for computing Euler characteristics. Vogtmann’s research integrates abstract algebra with geometric constructions, yielding insights into homology stability, cohomological dimensions, and the structural properties of automorphism groups. Her work often highlights connections to diverse fields, reflecting a broad and impactful scholarly vision.

Graham Huttonمشاهده پروفایل

استاد

• Mathematics of program construction
• Functional programming
• Programming language semantics
• +۶ مورد دیگر

Graham Hutton is a Professor of Computer Science at the University of Nottingham , where he leads the Functional Programming Lab and serves as Director of the Midlands Graduate School . He co-founded the Quotient Haskell project and maintains key roles in Journal of Functional Programming editorial work and Haskell Foundation governance. Co-leader, Functional Programming Lab (2008–date) Director, Midlands Graduate School (2023–date) ACM Distinguished Scientist Principal investigator for £912k EPSRC project (2024–2027) His research focuses on mathematical approaches to program construction , particularly through functional languages like Haskell and Agda . He develops techniques for compiler correctness , type system design , and program optimization , with recent work on quotient polymorphism and denotational cost models . Key article themes include: Compiler derivation from formal semantics Effect handling in functional languages Graph-based code generation over traditional tree structures Quotient type systems with SMT solver integration Concurrency semantics using choice trees Operational improvement with parametric polymorphism Scientific awards include: ACM Distinguished Scientist (2013) Best Paper & Best Student Paper (2018) EPSRC funding for compiler correctness projects He advises current PhD students in compiler calculation and memory safety , while maintaining extensive educational contributions through his widely-used textbook Programming in Haskell and open course materials.

• Category Theory
• Higher Category Theory
• Homotopy Theory
• +۴ مورد دیگر

John Bourke is an Associate Professor in the Department of Mathematics and Statistics at Masaryk University, Brno, Czech Republic. His research lies at the intersection of category theory, homotopy theory, and algebraic structures, with a focus on higher categorical frameworks and their applications. His recent publications explore advanced topics such as 2-categorical infinity-cosmoi , skew monoidal categories , and algebraic weak factorisation systems . These works contribute to understanding enriched and higher-dimensional categorical structures, often intersecting with homotopy theory and universal algebra. Research interests include category theory, higher category theory, homotopy theory, algebraic structures, and mathematical logic. His work frequently examines the interplay between categorical algebra and homotopical methods, as evidenced by his contributions to algebraic weak factorisation systems and Gray-categories. Scientific Engagement involves editorial roles at the Journal of Pure and Applied Algebra and Theory and Applications of Categories , as well as organizing the Masaryk University Algebra Seminar and Peripatetic Seminars on Sheaves and Logic (PSSL 95 and 106).

• Category Theory
• Algebraic Topology
• Model Structures
• +۵ مورد دیگر

Maru Sarazola is an Assistant Professor at the School of Mathematics, University of Minnesota. Her research focuses on category theory, homotopy theory, and algebraic topology, with applications in K-theory and double categories. She has been actively involved in research output since 2020, contributing to journals such as the Journal of Pure and Applied Algebra and Algebraic Combinatorics . Research interests: Model structures in category theory Higher Segal spaces and algebraic K-theory Homotopy hypothesis Hypergraph and double categories Dr. Sarazola serves as Principal Investigator for active NSF-funded projects, including the Kaleidoscope 100% K-theory (2025–2028) and the Workshop on Higher Segal Spaces and Algebraic K-Theory (2024–2025). Her work bridges abstract category theory with computational topology and mathematical physics.

Birgit Richterمشاهده پروفایل

استاد

• Algebraic Topology
• Homotopy Theory
• Structured Ring Spectra
• +۴ مورد دیگر

Birgit Richter is a full Professor at the Department of Mathematics within the University of Hamburg , holding a W3 professorship since 2010. She is affiliated with the Center for Mathematical Physics and the Quantum Universe Cluster . Her research spans algebraic topology , homotopy theory , and structured ring spectra , with significant contributions to topological Hochschild homology and K-theory . PhD (2000) and academic career at University of Bonn, then University of Hamburg Extensive international research stays (Oslo, Paris, CUNY, Cape Town, Newton Institute, MSRI, Hausdorff Institute) Organized major conferences like the Structured Ring Spectra workshop series Editorial roles in journals like Algebraic and Geometric Topology and Annals of K-Theory Her research interests focus on algebraic topology, particularly structured ring spectra, topological Hochschild homology, and their applications to K-theory, Galois theory, and mathematical physics. She explores connections between higher algebra and homotopy theory, often utilizing operads and category theory. Key publication trends include work on ramified extensions of ring spectra, Loday constructions, stability of homotopy invariants, and strict commutative models for cochain algebras. Her research spans both foundational aspects of homotopy theory and applications to mathematical physics. Birgit Richter supervises numerous PhD and Master’s students , focusing on topics like generalized Hochschild cohomology, model categories, and algebraic structures in topology. She has held leadership roles including head of department (2019/20) and contributes to outreach programs like the DMV conference in Hamburg (2015).

Jonathan Beardsleyمشاهده پروفایل

استادیار

• Category Theory
• Homotopy Theory
• Algebraic Topology
• +۷ مورد دیگر

Jonathan Beardsley is an Assistant Professor of Mathematics at the University of Nevada, Reno. He completed his Ph.D. at Johns Hopkins University in 2016 under Jack Morava, focusing on algebraic topology and category theory. His postdoctoral positions included the University of Washington and Georgia Tech. His research interests span category theory, homotopy theory, and algebraic topology, with a focus on higher category theory, operads, chromatic homotopy theory, K-theory, cobordism theories, and derived noncommutative algebra. Education: Ph.D. in Mathematics, Johns Hopkins University, 2016 B.S. in Mathematics, University of Central Florida, 2010 Research Interests: Higher categorical structures and their applications in topology Operadic and properadic frameworks Chromatic homotopy theory and K-theoretic invariants Noncommutative geometry in homotopical settings Selected Publications Trends: Recent work emphasizes categorical methods (e.g., higher topos theory, Grothendieck constructions) and their interplay with homotopy-theoretic concepts like Thom spectra and Brauer-Wall groups. Earlier contributions explored multiplicative cell attachments and spectral algebra. Awards: None explicitly listed in provided texts. Grants & Advising: No grants or advisees listed. Active in research collaborations (e.g., with Philip Hackney, Maximilien Péroux). Maintains a public arXiv page and personal website with research notes and teaching materials. Labs/Teams: Engaged in algebraic topology and category theory research within the University of Nevada, Reno's mathematics department.

Cole Hugelmeyerمشاهده پروفایل

پژوهشگر

• Knot Theory
• Low Dimensional Topology
• Geometry
• +۲ مورد دیگر

Cole Hugelmeyer is an NSF Postdoctoral Fellow at the Department of Mathematics, Stanford University. His research focuses on knot theory, low-dimensional topology, geometry, and combinatorics. He holds a PhD from Princeton University (2022), advised by Peter Ozsváth, and undergraduate degrees from UCLA (BSc and MA, 2017). His work emphasizes creative problem-solving, addressing challenges like the Toeplitz square peg problem and group properties in topological 4-manifolds. **Education:** PhD, Princeton University, 2017-2022 MA & BSc, UCLA, 2013-2017 **Research Interests:** Focus on inscribed geometric figures, knot invariants, and topological structures Explores interdisciplinary methods combining algebraic topology with combinatorial geometry **Awards:** UCLA Departmental Scholars Program (2017) UCLA Paul Daus Memorial Award (2017) Princeton University Dodds Honorific Fellow (2021) NSF Postdoctoral Fellowship (2022) **Teaching & Outreach:** Instructor for Math 148 (Algebraic Topology) and Math 171 (Metric Spaces) at Stanford Previously taught calculus at Princeton and led UCLA Math Circle’s BAMO preparatory program **Affiliations:** Member of the Stanford Mathematics Research Center Associated with the Robin Li and Melissa Ma Science Library

• Algebraic Combinatorics
• Quantum Computing
• Cooperative Game Theory
• +۳ مورد دیگر

Dylan Laplace Mermoud is a Postdoctoral Researcher in the Department of Applied Mathematics at ENSTA Paris. His research focuses on Algebraic Combinatorics, Quantum Computing, and Cooperative Game Theory. He explores topics such as social organization structures through operad theory, core stability in game-theoretic frameworks, and variational quantum algorithms for combinatorial problems. His work bridges abstract algebraic methods with practical applications in network dynamics and optimization. His research interests span the intersection of mathematics and social sciences, particularly in modeling cooperative systems and analyzing network-based decision-making processes. He contributes to both theoretical advancements and computational tools for solving complex combinatorial challenges, including applications in quantum computing and market equilibrium correction. Key research trends in his publications include the algebraic foundations of social configurations, algorithmic approaches to core stability, and quantum algorithm design for permutation-based problems. His work emphasizes interdisciplinary applications, such as optimizing resource allocation in dynamic networks and developing frameworks for understanding steady coalition formation in game-theoretic contexts.

• Eye Movements
• Neural Development of the Visual System in Children and Infants
• Biomedical Engineering
• +۳ مورد دیگر

Aleksandar Miladinović is a Postdoctoral Researcher at the Biomedical and Clinical Engineering department under the Department of Engineering and Architecture at the University of Trieste. He is affiliated with the Institute for Maternal and Child Health - IRCCS "Burlo Garofolo" and contributes to developing objective tests for visual system assessment in pediatric populations. Doctorate in Industrial and Information Engineering (2021, University of Trieste) MSc in Cognitive Science (2017, MEi:CogSci program) BSc in Computer Science (2012, Belgrade) His research focuses on eye movement analysis, pediatric visual system development, and biomedical engineering applications for neurological diagnostics. Methodologies include machine learning, brain-computer interfaces (BCI), and medical imaging. Recent work trends emphasize ocular following response measurement for stereodeficiency evaluation, deep learning in OCT image analysis for retinal disease classification, and neurosymbolic AI for AMD diagnosis. He also explores real-time BCI optimization for post-stroke neurorehabilitation and EEG-based biomarkers for post-COVID-19 cognitive decline.

Frédéric Patrasمشاهده پروفایل

پژوهشگر

• Algebra
• Combinatorics
• Probability Theory
• +۴ مورد دیگر

Frédéric Patras is a Researcher (Directeur de Recherche CNRS) at Université Côte d'Azur, based at the Laboratoire J.A. Dieudonné (UMR CNRS-UNS N°7351). He holds editorial roles at journals including Annals of Mathematics and Philosophy , Annales de l’Institut Henri Poincaré D , and EpiDEMES . He co-leads the PhilMathMED network and participates in research projects like ANR CARPLO and ANR PAGCAP. His research spans algebra, combinatorics, probability theory, and the philosophy of mathematics, with a focus on algebraic structures in quantum theory and stochastic processes. Education: PhD in Mathematics (1992, Université Paris 7) with a thesis on homotopy and simplicial homology. Leadership roles: Membre du Comité de direction de l'IFR en Epistémologie, organizer of international conferences (e.g., PhilMathMED 2023, Algebraic Combinatorics of the Symmetric Groups). His work bridges pure mathematics and interdisciplinary applications, including credit risk modeling, quantum independence structures, and the interplay between algebraic combinatorics and phenomenology. Recent research emphasizes free probability theory, renormalization group actions, and Hopf algebraic methods. Key contributions include studies on shuffle algebras, cumulant-cumulant relations, and the application of group-theoretical approaches to non-commutative probability. He has edited volumes on credit risk and mathematical thinking, and his articles span journals in mathematics, physics, and philosophy.

Clément Dupontمشاهده پروفایل

دانشیار

• Algebraic Geometry
• Number Theory
• Mathematical Physics
• +۴ مورد دیگر

Clément Dupont is an Associate Professor at the University of Montpellier, affiliated with the Institut Montpelliérain Alexander Grothendieck (IMAG), a leading mathematics research institute in France. His work bridges pure mathematics and theoretical physics through deep investigations of algebraic structures. His research focuses on Algebraic Geometry , Number Theory , and Mathematical Physics , particularly exploring motives, periods, regulators , and their connections to quantum field theory amplitudes . He investigates multiple zeta values , mixed Hodge theory , and combinatorial Hopf algebras within the framework of hyperplane arrangements and operadic structures . His recent work demonstrates how motivic methods provide rigorous foundations for physical computations in string theory. Analysis of his publication record reveals a consistent trajectory from foundational work on hyperplane arrangements and motivic coactions toward cutting-edge applications in superstring amplitude calculations and regularized integrals . His collaborations with Francis Brown and others have established critical connections between abstract motivic theory and concrete physical phenomena. Dupont actively contributes to the mathematical community through survey articles and expository work, including an introduction to mixed Tate motives and translations of advanced topics for broader audiences. His academic service includes participation in the Séminaire Bourbaki and organization of specialized conferences. His research is conducted within the IMAG institute, which provides a collaborative environment for interdisciplinary work at the intersection of geometry, topology, and mathematical physics. Current projects focus on logarithmic structures in quantum field theory and operadic formulations of geometric phenomena.

• Mathematical Physics
• Algebraic Geometry
• Category Theory
• +۳ مورد دیگر

Pavel Safronov is a Lecturer in the School of Mathematics at the University of Edinburgh, where he has been since 2020. His academic journey began with a physics undergraduate degree at St. Petersburg University, followed by a master’s in physics at the University of Texas, where he transitioned to mathematics. His research focuses on mathematical physics, algebraic geometry, and category theory, particularly topological quantum field theories and shifted Poisson structures. He balances teaching and research, emphasizing interactive learning and student engagement. Education: BSc in Physics (St. Petersburg University), MSc in Physics (University of Texas). His postdoctoral work included positions at the University of Oxford, Max Planck Institute for Mathematics (Bonn), and institutions in Geneva and Zurich before settling in Edinburgh. Research interests span topological quantum field theories, symplectic geometry, and categorical structures. Recent work explores deformation quantization, coisotropic correspondences, and cohomological Hall algebras. His articles often bridge abstract algebraic geometry with physics concepts like supersymmetric twists and BV quantization. Teaching philosophy emphasizes face-to-face interaction to assess student understanding, advising students to engage actively with faculty and resources. Outside academia, he practices classical piano and enjoys hiking and cycling in Scotland, activities he finds rejuvenating for his research.

• Mathematical Logic
• Category Theory
• Theoretical Computer Science
• +۳ مورد دیگر

Nicola Gambino is a Reader in Pure Mathematics at The University of Manchester, having joined in 2022. Previously, he held positions at the University of Palermo (2008-2013) and the University of Leeds (2013-2022). He obtained his PhD in Computer Science from the University of Manchester in 2002 under Peter Aczel, followed by postdoctoral roles at the University of Cambridge (Martin Hyland) and Université du Québec à Montréal (André Joyal). His research focuses on mathematical logic, category theory, and theoretical computer science, with recent emphasis on Homotopy Type Theory and 2-dimensional category theory. He serves on editorial boards for Mathematical Structures in Computer Science (since 2016) and Applied Categorical Structures (since 2015). Professional memberships include the Association for Symbolic Logic, British Logic Colloquium, and London Mathematical Society. His work spans foundational topics like categorical logic, homotopy type theory, and algebraic structures. Notable collaborations include projects on fibrations, pseudomonads, and presheaf models. Office hours are held weekly on Wednesdays 2–3pm.