جستجوی استاد راهنمای دانشگاهی

Tyler Lawsonمشاهده پروفایل

استاد

• Algebraic topology
• K-theory
• Homotopy theory
• +۳ مورد دیگر

Tyler Lawson is a Professor in the School of Mathematics at the University of Minnesota, holding the distinguished Albert and Dorothy Marden Professorship. His office is located in Vincent Hall 323 at 206 Church Street SE, Minneapolis, MN 55455, and he can be reached at tlawson@umn.edu or (612) 625-6802. Professor Lawson's research focuses on algebraic topology and K-theory, with significant contributions to homotopy theory, quandles, stable homotopy theory, and braided Hopf algebras. His work bridges abstract algebraic structures with topological applications, particularly exploring connections between category theory and homotopy-theoretic constructions. He has made notable advances in understanding filtrations and derived spaces, the generating hypothesis in stable homotopy theory, and the homotopy theory of quandles as they relate to knot invariants. Analysis of his recent publications reveals a strong emphasis on structural theorems in algebraic topology, with particular attention to equivariant phenomena, rational homotopy theory, and connections to arithmetic statistics. His research demonstrates sophisticated interplay between combinatorial structures and topological invariants, often revealing unexpected connections between seemingly disparate mathematical domains. Albert and Dorothy Marden Professor Professor Lawson actively advises graduate students and participates in the topology seminar series at the University of Minnesota, where he has presented on topics ranging from filtrations and derived spaces to the generating hypothesis. His research program includes collaborations with mathematicians across institutions, contributing to advancements in homotopy theory and its applications to other mathematical fields. He maintains an active research group focused on exploring the frontiers of algebraic topology and its connections to related disciplines.

Ashis Mandalمشاهده پروفایل

دانشیار

• Algebraic Topology
• Deformation Theory of Algebraic Structures
• Operads
• +۳ مورد دیگر

Ashis Mandal is an Associate Professor in the Department of Mathematics and Statistics at Indian Institute of Technology Kanpur . He specializes in algebraic topology, deformation theory of algebraic structures, and operads, contributing extensively to these fields through research and teaching. Education PhD , Mathematics (2008), Indian Statistical Institute, Kolkata — Thesis: Versal deformations of Leibniz algebras under Prof. Goutam Mukherjee M.Sc. , Pure Mathematics (2002), University of Calcutta B.Sc. , Mathematics (2000), University of Calcutta Research Interests His work spans a rich intersection of algebraic topology , deformation theory , and homological algebra . Key areas include: Hom-Lie-Rinehart algebras and their deformations Operads and higher algebraic structures Leibniz algebras and cohomology Hom-Gerstenhaber algebras and Courant algebras Research Trends Mandal’s publications reflect a consistent trajectory in exploring algebraic deformations and homological structures . His 2019 and 2018 works delve into hom-Lie-Rinehart and Gerstenhaber algebras, expanding the theoretical framework. Earlier works (2007–2013) laid foundational insights into Leibniz algebras and their cohomological properties. The research spans pure algebra , category theory , and mathematical physics . Awards & Fellowships MATRICS Grant (2019) — SERB, DST, India (3-year research grant) AFR Postdoctoral Fellowship (2010) — Luxembourg National Research Fund N.B.H.M. Postdoctoral Fellowship (2009) — National Board for Higher Mathematics, India C.S.I.R. Research Associateship (2009) — Council of Scientific & Industrial Research, India JRF & Lectureship Eligibility (2002–2003) — CSIR-UGC NET, Indian Statistical Institute Research Groups & Collaborations He leads and collaborates in several interdisciplinary research groups: Lie algebroids over algebraic spaces — with Abhishek Sarkar Higher structures — with Apurba Das Quadratic Lie and Leibniz algebras — with Alice Fialowski Hom-Algebraic structures — with Satyendra Kumar Mishra Contact Office: FB 523, Department of Mathematics and Statistics, IIT Kanpur, Kanpur-208016, India Phone: +91-512-259-6783 Email: amandal@iitk.ac.in

Eli Hawkinsمشاهده پروفایل

مدرس ارشد

• Noncommutative Geometry
• Mathematical Physics
• Quantum Gravity
• +۴ مورد دیگر

Dr. Eli Hawkins is a Senior Lecturer in the Department of Mathematics at the University of York. His work bridges geometry and noncommutative algebras, with a focus on quantization, noncommutative geometry, and quantum gravity. Education: PhD in Physics and Mathematics from Penn State University Research Interests: His research integrates advanced mathematical frameworks like C*-algebras, Poisson geometry, and Lie groupoids to explore quantization and quantum gravity, with applications in quantum field theory and differential geometry. Recent Publications: His recent work includes studies on Hochschild cohomology, deformation quantization, and noncommutative regularization, reflecting his expertise in algebraic and geometric methods.

Shachar Carmeliمشاهده پروفایل

پژوهشگر

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

Shachar Carmeli is a researcher in the Department of Mathematics at the Weizmann Institute of Science. He previously held a postdoctoral position at the University of Copenhagen's Department of Mathematical Sciences, working with the Copenhagen Centre for Geometry and Topology. Carmeli earned his PhD from the Weizmann Institute under the supervision of Professor Dmitry Gourevitch, focusing on advanced topics in algebraic topology and representation theory. His research interests span homotopy theory, chromatic homotopy theory, algebraic geometry, and representation theory, with a current emphasis on higher semiadditivity in chromatic homotopy theory and its connections to algebraic K-theory. He also explores Nash stacks and geometric representation-theoretic frameworks. Notable collaborations include work with Tomer M. Schlank, Lior Yanovski, and Allen Yuan on cyclotomic extensions, redshift phenomena, and categorified trace constructions. Carmeli's recent publications highlight contributions to topics like chromatic Fourier transforms, descent in algebraic K-theory, and the topology of crystalline materials. His work bridges abstract algebraic structures with geometric and topological applications, often leveraging tools from higher category theory and spectral algebraic geometry.

Joachim Kockمشاهده پروفایل

دانشیار

• Category theory
• Homotopy theory
• Combinatorics
• +۴ مورد دیگر

Joachim Kock is an Associate Professor at the Department of Mathematical Sciences, University of Copenhagen, with research focusing on category theory, homotopy theory, combinatorics, and algebraic geometry. His work explores intersections with probability theory, mathematical physics, and computer science, particularly through decomposition spaces, operads, and categorical structures. Education: Not explicitly mentioned External Employment: Professor Titular at Autonomous University of Barcelona Research Areas: Category theory and higher structures Homotopy-theoretic combinatorics Decomposition spaces and incidence algebras Applications in computer science and mathematical physics Recent Publications: 2024: ∞-operads as symmetric monoidal ∞-categories 2022: Tracelet Hopf Algebras and Decomposition Spaces 2022: Infinity-Operads as Analytic Monads 2021: Every 2-Segal space is unital 2021: Operadic categories and decalage Editorial Activities: Editor, Theory and Applications of Categories (since 2017) Editor, Higher Structures (2016–2022) Editor, Compositionality (since 2018)

Kate Pontoمشاهده پروفایل

استاد

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

**Kate Ponto** is a **Professor** in the **Department of Mathematics** at the **University of Kentucky**, part of the **College of Arts & Sciences**. Her research focuses on **Topology and Geometry**, with expertise in **Homotopy Theory**, **Algebraic Topology**, and **Category Theory**. She is actively involved in the **UK Math Lab** and the **University of Kentucky Student Chapter of the Association for Women in Mathematics (AWM)**. Her work includes contributions to **K-theory**, **model categories**, and **traces in bicategories**. **Research Interests:** Topology, Geometry, Algebraic Topology, Homotopy Theory, Category Theory, K-Theory. She has published extensively on topics such as parametrized spectra, Riemann-Roch theorems, and homotopy invariants. **Teaching Roles:** Professor Kate Ponto has taught courses ranging from introductory calculus to advanced topics in topology, including **Topology II**, **Algebraic Topology**, and **Matrix Algebra**. She emphasizes student engagement and inquiry-based learning in courses like *Introduction to Topology*. **Affiliations and Activities:** She co-organizes the **University of Kentucky Topology Seminar** and has contributed to conferences such as the **Midwest Topology Seminar**. Her research has been published in journals like *International Mathematics Research Notices*, *Algebraic & Geometric Topology*, and *Theory and Applications of Categories*.

Simon Wadsleyمشاهده پروفایل

مدرس

• Iwasawa Algebras
• Representation Theory
• Algebraic Geometry
• +۵ مورد دیگر

Simon Wadsley is a Lecturer in the Department of Pure Mathematics and Mathematical Statistics (DPMMS) at the University of Cambridge's Faculty of Mathematics. His research focuses on algebraic structures, particularly in the realm of Iwasawa algebras, p-adic representation theory, and noncommutative geometry. He is affiliated with the Algebra research group and contributes to foundational work in D-modules on rigid analytic spaces and equivariant line bundles over p-adic spaces. Academic Position: Lecturer, DPMMS, University of Cambridge Research Group: Algebra Contact: S.J.Wadsley@dpmms.cam.ac.uk | Room C0.05 His research interests span prime ideals in Iwasawa algebras , p-adic analytic groups , and equivariant geometric structures . He explores connections between algebraic geometry and number theory, with notable contributions to the theory of D-modules in rigid analytic settings and the study of representations of p-adic Lie groups. Recent work includes investigations into global sections of line bundles on p-adic upper half planes and holonomicity properties of D-modules. Publications highlight advancements in p-adic analysis, including work on Kashiwara equivalences and weak holonomicity. His research also extends to categorical frameworks like PROPs for linear systems and foundational studies in noncommutative algebraic structures. Wadsley collaborates widely, with key contributions to Iwasawa theory and invariant ideals in noncommutative rings.

Christopher Schommer-Priesمشاهده پروفایل

دانشیار

• Topology
• Higher Category Theory
• Quantum Field Theory
• +۳ مورد دیگر

Christopher Schommer-Pries is an Associate Professor in the Department of Mathematics at the University of Notre Dame's College of Science. His research focuses on the intersection of topology, higher category theory, and quantum field theory, with notable contributions to classification of topological field theories and foundational work on higher categories. Education: Ph.D. in Mathematics (2009, UC Berkeley), B.S. in Mathematics (2003, Harvey Mudd College) Career: Taught at Notre Dame since 201?, previously at University of Bonn (2013) Research emphasizes dualizability in higher categories, TFTs' algebraic structures, and categorical unicity theorems. Key publications include foundational papers on tensor categories, invertible TFTs, and bordism classifications. Active in teaching advanced topology courses and mentoring graduate students, though no formal advisees listed here.

Martin Hylandمشاهده پروفایل

استاد

• Mathematical Logic
• Lambda Calculus
• Recursion Theory
• +۱۳ مورد دیگر

Professor Martin Hyland is a Professor of Mathematical Logic in the Department of Pure Mathematics and Mathematical Statistics within the Faculty of Mathematics at the University of Cambridge. His work bridges mathematical logic, category theory, and theoretical computer science, with significant contributions to lambda calculus, realizability, and game semantics. Professor Hyland's research spans three interconnected domains: Mathematical Logic (focusing on Lambda Calculus, Recursion Theory, Realizability, Proof Theory, and Linear Logic), Category Theory (specializing in Topos Theory, Categorical Algebra, Operads, and Higher-dimensional Categories), and Theoretical Computer Science (exploring Applications of Category Theory, Domain Theory, Polymorphism, and Game Semantics). His work demonstrates how abstract mathematical structures can illuminate computational phenomena. His recent publications reveal a continued focus on categorical structures for computation, with increasing attention to higher-dimensional categorical frameworks. His work connects foundational logic with practical computational models, showing how category theory provides unifying principles across diverse computational paradigms. The progression from lambda calculus to game semantics to higher categorical structures demonstrates deepening connections between abstract mathematics and computation. Professor Hyland has made foundational contributions to game semantics, categorical models of lambda calculus, and the categorical understanding of algebraic theories. His work on computational effects, particularly in papers like 'Combining algebraic effects with continuations' and 'Combining computational effects: Commutativity and sum,' has influenced both theoretical computer science and practical programming language design.

• Geometry
• Topology
• Quantum Field Theory
• +۵ مورد دیگر

Ryan Grady is an Associate Professor in the Department of Mathematical Sciences at Montana State University, affiliated with the College of Letters & Science. His research bridges geometry, topology, and quantum field theory (QFT), with a focus on derived geometry and higher Lie theory. Research Interests: His work applies QFT techniques to geometric and topological problems, explores derived algebraic structures (e.g., L-infinity spaces, cosheaves), and investigates connections between renormalization group flows and sigma models. Recent publications address K-theoretic invariants, operadic structures in topology, and algebraic models for topological field theories. Scientific Awards: Stannard Award for Graduate Teaching (2021) NExT Fellow (2019) ICCM Best Paper Award (2018) Research Enhancement Grant (2018) Member, MSU Center for Faculty Excellence (2017) Education: Ph.D. and M.S. in Mathematics from the University of Notre Dame (2012, 2009), and B.S. in Mathematics from the Colorado School of Mines (2007). Students: Co-chaired Eric Berry (PhD 2021) and Adam Howard (PhD 2021), advised Garrett Oren (MS 2021), and mentored Bryce Morrow (BS 2023).

• Quantum Computing
• Quantum Foundations
• Algebraic Topology
• +۳ مورد دیگر

Cihan Okay is an Assistant Professor in the Department of Mathematics at Bilkent University. He holds a PhD in Mathematics from the University of British Columbia (2014). His research explores quantum computation using topological and algebraic methods, focusing on quantum contextuality, classical simulation algorithms, and homotopical frameworks. Research interests include quantum foundations, category theory, and classical simulation of quantum systems. Key areas are quantum contextuality as a computational resource, simplicial distributions for modeling quantum phenomena, and optimization of simulation algorithms. His publications bridge quantum computing with topology, emphasizing Bell scenarios, operadic structures, and resource theories. Recent work targets quantum advantage verification and lattice-based simulations. Awards include the BAGEP Young Scientist Award. He leads the project 'Homotopical Quantum Computation' funded by the U.S. Air Force (2024–2029). Okay supervises graduate students in quantum algorithms and topology. His group, Bilkent Quantum Computing and Topology, collaborates internationally and develops computational tools like CNC simulators and simplicial distribution codebases.

• Algebraic Geometry
• Algebraic Topology
• Moduli Spaces
• +۳ مورد دیگر

Dan Petersen is a Professor of Mathematics at Stockholm University, specializing in the intersection of algebraic geometry and algebraic topology with a focus on moduli spaces. His research explores topics such as cohomology theories, homological stability, and geometric structures. He has advised PhD students including Erik Lindell, Louis Hainaut, Josefien Kuijper, and Oliver Lindström. His work frequently intersects with geometric topology, number theory, and representation theory, as seen in his recent publications on handlebody groups, Mumford conjectures, and configuration spaces. Collaborations with postdocs such as Johan Alm, Marcel Rubió, and Sylvain Douteau highlight his involvement in advanced research networks. His contributions to algebraic structures and topological methods have advanced understanding in both pure and applied mathematics contexts.

Robert J. Wonمشاهده پروفایل

استادیار

• Noncommutative Algebra
• Algebraic Geometry
• Ring Theory
• +۷ مورد دیگر

Robert J. Won is an Assistant Professor in the Department of Mathematics at George Washington University (GWU). He co-organizes the GWU Combinatorics and Algebra Seminar and works in noncommutative algebra, focusing on noncommutative algebraic geometry, ring theory, invariant theory, and quantum symmetries. Born and raised in New Jersey B.S. in Mathematics, Duke University (2011) Ph.D. in Mathematics, University of California San Diego (2016), advised by Daniel Rogalski Postdoctoral Fellow at Wake Forest University (2016-2018) Postdoctoral Scholar at University of Washington (2018-2021) Joined GWU faculty in 2021 Research interests include: Noncommutative algebraic geometry and ring theory Weak Hopf algebras and quantum symmetries Applications of combinatorics to finite affine geometry Homological techniques in noncommutative algebra Quantum groups and their actions on algebras His recent work explores homological integrals for weak Hopf algebras, degree bounds for Hopf actions, ozone groups of Artin-Schelter regular algebras, and combinatorial problems related to the card game SET. He has collaborated with prominent researchers including Kenneth Chan, Jason Gaddis, and James J. Zhang. He has delivered invited talks at institutions such as UC San Diego, University of Washington, and international conferences, including the Conference on Operad Theory in China.

Izak Moerdijkمشاهده پروفایل

استاد

• Category Theory
• Algebraic Topology
• Mathematical Logic
• +۳ مورد دیگر

Izak Moerdijk is a Distinguished University Professor at Utrecht University's Mathematical Institute, part of the Faculty of Science. He holds a part-time professorship in Pure Mathematics at the University of Sheffield. His academic career includes roles as Chair of Algebra and Topology at Radboud University Nijmegen (2011–2015) and Professor of Topology at Utrecht University (2002–2011). Moerdijk earned his PhD in Mathematics from the University of Amsterdam in 1985 (cum laude), followed by postdoctoral positions at the University of Chicago and Cambridge. His research focuses on category theory, algebraic topology, topos theory, and applications to mathematical logic. Notable contributions include foundational work on dendroidal sets, operads, and Lie groupoids. He co-authored influential texts like Sheaves in Geometry and Logic (with S. Mac Lane) and Introduction to Foliations and Lie Groupoids (with J. Mrcun). Awarded the prestigious Spinoza Prize (2011) and Descartes-Huygens Prize (2011), Moerdijk is a member of the Dutch Royal Academy of Sciences (KNAW) and Academia Europaea. His recent work emphasizes developing dendroidal set theory and advancing homotopy-theoretic frameworks.

Jakob Scholbachمشاهده پروفایل

دانشیار

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

Jakob Scholbach is an Associate Professor at the Department of Mathematics, University of Padua. His research focuses on motives in the Langlands program, abstract homotopy theory, and Arakelov theory. He has collaborated extensively with researchers like Timo Richarz, Robert Cass, and Thibaud van den Hove, producing influential work in geometric representation theory and motivic cohomology. Education: Completed his PhD in Mathematics at the University of Freiburg under Annette Huber in 2011. His habilitation thesis further solidified his expertise in motives and homotopy theory. Research Interests: Scholbach’s work bridges algebraic geometry, number theory, and homotopy theory. He explores categorical structures in motives, geometric Satake equivalence, and Frobenius rigidity. His recent publications address Künneth formulas for cohomological motives and integral motives on affine flag varieties. Publications: Over 20 peer-reviewed articles in top journals like Compositio Mathematica , Advances in Mathematics , and Documenta Mathematica . His work is widely cited in the fields of geometric representation theory and motivic cohomology. Awards: No specific awards are listed, though his prolific and impactful research suggests recognition in academic circles. Advising & Grants: Coordinates the MSCA Doctoral Network REMOLD (Representations, Motives and Langlands Duality) and has organized workshops on representation theory’s hidden motives. No advisees are explicitly listed in the provided text. Labs/Teams: Leads the REMOLD network, fostering collaboration between algebraic geometry and geometric representation theory researchers.