Find Academic Supervisors

• Mathematical Logic
• Category Theory
• Theoretical Computer Science
• +3 more

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.

Nitu KitchlooView profile

Professor

• Symplectic geometry
• Topology of Kac-Moody groups
• Classical algebraic topology
• +4 more

Nitu Kitchloo is a Professor and former Chair of the Department of Mathematics at Johns Hopkins University (JHU), part of the Krieger School of Arts & Sciences. He holds a PhD from MIT (1998) under Haynes Miller, focusing on Kac-Moody groups' topology. Previously, he served as Chair (2014–2017) and held academic roles at UC San Diego (2004–2010) and JHU (2001–2004). His research spans symplectic geometry, algebraic topology, and Kac-Moody group topology, with notable contributions to elliptic cohomology, stable symplectic categories, and real-oriented cohomology theories. Education: PhD in Mathematics from MIT (1998), BS from Caltech (1993). Professional roles include Associate Editor of the American Journal of Mathematics, NSF and Simons Foundation reviewer, and conference organizer (e.g., Midatlantic Topology Conference). Awards include the Simons Fellowship (2017–2018) and NSF grants (2004–2017). Research interests emphasize symplectic structures, Kac-Moody group topology, and algebraic topology applications. Recent work explores quantization in symplectic categories, real Johnson-Wilson theories, and unstable Adams operations' topological implications. Teaching includes advanced topology and calculus courses at JHU, UCSD, and Northwestern. Publications span over 30 peer-reviewed articles in journals like Advances in Mathematics and Duke Mathematical Journal. He has presented at international conferences, including the Alpine Conference on Algebraic Topology (2016) and MSRI workshops (2014).

Mark BehrensView profile

Professor

• Algebraic Topology
• Homotopy Theory
• Chromatic Homotopy
• +3 more

Mark Behrens is the John and Margaret McAndrews Professor of Mathematics at the University of Notre Dame. His research focuses on computational algebraic topology, particularly homotopy groups of spheres, chromatic homotopy theory, and applications to motivic homotopy. Education includes a PhD from University of Chicago (2003) and BS degrees in Mathematics/Physics from University of Alabama. Research develops connections between tensor-triangular geometry, topological automorphic forms, and Goodwillie calculus. Current projects investigate equivariant analogs of Mahowald's theorem and derived functors in unstable homotopy. Publications provide spectral algebra models for v-periodic phenomena, resolutions of telescope conjectures, and computational frameworks for tmf-based spectral sequences. Recent work establishes Lie algebra models for unstable homotopy and equivariant periodicity phenomena. Awards include AMS Fellowship (2022), NSF CAREER grant (2011), and Sloan Fellowship (2007). Supervises 21 PhD students and postdocs investigating equivariant homotopy, factorization homology, and operad theory. Current grants support research on equivariant and motivic deformations of stable homotopy theory.

Alexander VoronovView profile

Professor

• Mathematical physics
• Algebraic topology
• Algebra
• +1 more

Alexander A. Voronov is a Professor of Mathematics at the University of Minnesota, with additional affiliation as a Visiting Senior Scientist at the Kavli Institute for the Physics and Mathematics of the Universe (Kavli IPMU) at the University of Tokyo. His academic career spans several decades, with significant contributions to mathematical physics, algebraic topology, algebra, and algebraic geometry. Voronov's research interests center around the intersection of mathematics and theoretical physics, particularly exploring algebraic structures in string theory, homotopy theory, and quantum field theory. His work on higher structures, operads, and homotopy algebras has been influential in connecting abstract mathematical concepts with physical theories, especially through his investigations of string topology and the algebraic structures underlying quantum field theories. His recent publications demonstrate a sustained research program focused on triality phenomena, rational homotopy theory, and the mathematical foundations of string theory and M-theory. The trend in his work shows increasing sophistication in connecting algebraic structures with geometric and physical concepts, particularly through the lens of higher category theory and homotopical algebra. Voronov has been actively involved in the mathematical community through conference organization, editorial work (including serving on the Editorial Board for Higher Structures), and participation in numerous international research programs and workshops across the globe. His collaborations span multiple continents, reflecting the international nature of modern mathematical research.

• Algebraic geometry
• Representation theory
• Combinatorics
• +4 more

Sergey Mozgovoy is an Assistant Professor at the School of Mathematics , Trinity College Dublin , specializing in algebraic geometry, representation theory, and combinatorics. His research bridges mathematical physics and pure mathematics through quiver theory and moduli spaces.

Marcelo AguiarView profile

Professor

• Algebra
• Combinatorics
• Category Theory
• +3 more

Marcelo Aguiar is a Professor of Mathematics at Cornell University, affiliated with the College of Arts and Sciences. His research focuses on algebra, combinatorics, and category theory, with a particular emphasis on noncommutative algebra, Hopf algebras, and hyperplane arrangements. He has authored influential monographs such as Bimonoids for hyperplane arrangements and Topics in hyperplane arrangements , and contributed to foundational work on Hopf monoids and species theory. Education: Ph.D. in Mathematics from Cornell University (1997). His teaching includes advanced courses like MATH 6410 (Enumerative Combinatorics) and undergraduate courses like MATH 1120 (Calculus II). Key research interests include algebraic structures in combinatorics, Coxeter groups, and applications of Hopf algebras to discrete mathematics. Publications span over 30 years, with recent works exploring toric arrangements, generalized permutahedra, and monoidal functors. His collaborative research, including co-authored papers with Swapneel Mahajan and Federico Ardila, has advanced the intersection of algebra, combinatorics, and geometry.

• Algebraic Topology
• Category Theory
• Operads
• +3 more

Andor Lukács is a Lecturer and Teacher's Assistant at Babeş-Bolyai University's Faculty of Mathematics and Computer Science. His research focuses on algebraic topology, category theory (especially operads, dendroidal sets, and higher categories), and fixed-point theory in distance spaces. He is currently developing his academic profile and has a CV available online. Research interests include advanced topics in algebraic topology and modern category theory frameworks, with recent attention to fixed-point phenomena in specialized distance spaces. No specific articles, grants, or awards are listed in the provided text. His professional network and advising activities remain unspecified.

Richard SadyView profile

Assistant Professor

• Mathematics

Richard Sady was an Assistant Professor at Pembroke State University in North Carolina. He earned his Ph.D. in Mathematics from an unspecified institution (likely the department where the Richard Sady Dissertation Prize is awarded). Tragically, he passed away in 1982 at Pembroke State University, leaving a legacy remembered by many. A prize bearing his name honors outstanding doctoral dissertations in his former academic community. Affiliation: Pembroke State University (Assistant Professor) Education: Ph.D. in Mathematics (1977) While specific research interests are not detailed in the text, his academic background in Mathematics and the nature of the prize suggest a focus on advanced mathematical fields. No publications or direct advising records are mentioned, though the prize highlights contributions to areas like algebraic geometry, topology, and operad theory through its recipients' work. Awards/Recognition: The Richard Sady Dissertation Prize was established in his honor to recognize exemplary doctoral research.

Yingying WuView profile

Assistant Professor

• Differential Geometry
• Supersymmetry
• Computational Geometry
• +11 more

Yingying Wu is an Assistant Professor in the Department of Mathematics at the University of Houston. She serves as the Head Coach for Harvard University's International Collegiate Programming Contest (ICPC) teams and a trainer for the ICPC North America Championship Programming Camp. Her research focuses on differential geometry, supersymmetry, computational geometry, and machine learning applications in geometric analysis and biomedical problems. She has advised Ph.D. student Haotian Zuo, who specializes in derived categories and moduli spaces of vector bundles. Her academic contributions span theoretical mathematics and applied machine learning, with notable work on Laplace-Beltrami operators, Z/2 harmonic spinors, and protein structure analysis. She has served as a judge for multiple regional programming contests and developed training materials for competitive programming education. Her research bridges geometric analysis with computational techniques, addressing challenges in medical imaging, 3D shape recognition, and phylogenetic modeling. Key areas of expertise include eigenvalue problems in differential geometry, moduli spaces of curves with supersymmetric structures, and AI-driven approaches to geometric feature representation. Her programming contest leadership reflects expertise in algorithm design and competitive problem-solving strategies.

• Homotopy Theory
• Topology
• Category Theory
• +4 more

Naruki Masuda is an Assistant Professor (postdoctoral position) at Northwestern University since September 2025, specializing in advanced mathematical research. Previously, he was a postdoctoral researcher at the University of Hamburg (CRC 1624) from 2024-2025 and completed his graduate studies at Johns Hopkins University from 2018-2024. His educational background includes doctoral studies at Johns Hopkins University where he completed his thesis titled "The algebra of categorical spectra," which explores categorical spectra as a generalization of spectra in homotopy theory. His thesis work introduces the tensor product of categorical spectra and applies these concepts to derive the cobordism hypothesis with singularities from the plain version. Dr. Masuda's research focuses on the intersection of homotopy theory, topology, and category theory. His work bridges abstract mathematical concepts with concrete geometric applications, particularly in categorical spectra, Calabi-Yau geometry, and polytope theory. His research has significant implications for theoretical physics, especially in topological quantum field theories and mathematical physics frameworks. His publication record demonstrates progression from foundational work in polytope theory to advanced topics in categorical spectra and Calabi-Yau geometry. His most recent work explores sheaf theory applications, indicating expanding research connecting traditional algebraic topology with modern categorical frameworks. His articles collectively represent significant contributions to higher category theory and its applications in geometry and topology. Dr. Masuda is actively involved in academic service, having co-organized the Research Seminar on Quantum Topology and Categorification (QTCat) 2024-2025 and the JHU topology seminar 2022-2024. He also organized the prismatic cohomology seminar at Johns Hopkins in spring 2023 with David Gepner and Milton Lin, delivering talks on Hodge-Tate comparison and perfectoid rings. His teaching responsibilities at Northwestern include Multivariable differential calculus for Engineering (Fall 2025) and a specialized course on Higher Category Theory (March 2025), reflecting both his ability to teach foundational mathematics and advanced specialized topics. His lecture notes reveal a structured approach to complex mathematical concepts, particularly in (∞,1)-categories, stable categories, and categorical spectra.

Damien SimonView profile

Assistant Professor

• Probability Theory
• Theoretical Physics
• Statistical Mechanics
• +3 more

Damien Simon is an Assistant Professor at the Laboratory of Probability, Statistics, and Modeling (LPSM) within Sorbonne Université. His primary affiliation is with the LPSM, where he contributes to research in probability theory and theoretical physics. Contact details include an office at 16.26.207 on the Pierre et Marie Curie campus in Paris. Research interests focus on Statistical Mechanics , Operads , Integrable Systems , and Rough Paths , with connections to theoretical physics. To avoid confusion with a homonymous mathematician at Orsay, his ORCID identifier (0000-0001-7872-2642) confirms his authorship of recent publications. No academic awards or grants are explicitly mentioned in the provided text.

• Foundations of Computational Mathematics
• Geometric Integration
• Lie Group Integrators
• +12 more

Hans Z. Munthe-Kaas is a Professor in the Department of Mathematics at the University of Bergen. He holds several prominent academic leadership roles, including Chair of the Abel Prize Committee, Editor-in-Chief of Foundations of Computational Mathematics , President of the Norwegian Mathematical Society, and Project Leader of the RCN-Fripro project CODYSMA and the Lie–Størmer Center. His research lies at the intersection of pure and applied mathematics and computer science, with a focus on the Foundations of Computational Mathematics . Key areas include geometric integration, Lie group integrators, Lie–Butcher theory, structure-preserving algorithms for differential equations, multivariate Chebyshev polynomials, and computational algebra. He has pioneered coordinate-free algorithm design through the SOPHUS project and developed the DiffMan MATLAB toolbox for solving differential equations on manifolds. The recent publications show a strong trend in algebraic and geometric structures in numerical analysis, particularly in Lie–Butcher series , B-series , post-Lie algebras , and aromatic trees , with applications to integration on manifolds and homogeneous spaces. These works combine deep theoretical insights with practical computational implications. His scientific honors include the Esso Prize (1999) for his PhD work on numerical linear algebra and parallel algorithms. He has also led major research initiatives and collaborative projects, securing funding from the Research Council of Norway. Munthe-Kaas has advised students at the master’s level and welcomes new thesis projects. He has been active in teaching at all levels, including international courses at AIMS South Africa, CIMPA Brazil, and Morningside Center Beijing. He is also involved in public outreach through programs like 'Mattesirkelen' for high school students. He leads the Lie–Størmer Center and has developed software such as the SOPHUS C++ library and DiffMan toolbox, reflecting his commitment to bridging theoretical mathematics with computational practice.

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

Joachim Christian Kock is a Professor in the Department of Mathematics at Universitat Autònoma de Barcelona, where he is affiliated with the Laboratori d'interaccions entre geometria, àlgebra i topologia (LIGAT). His research focuses on the intersection of category theory, algebraic topology, and combinatorics. He received his Ph.D. (Doutor em ciências) from the Federal University of Pernambuco in 2000 and his Masters (Cand Scient) from Aarhus University in 1996. Following his doctorate, he held postdoctoral positions at prestigious institutions including Côte d'Azur University, KTH Royal Institute of Technology, and Caltech. Professor Kock's research primarily centers on decomposition spaces, operad theory, and higher category theory. His work establishes connections between combinatorial structures and homotopy theory, with significant contributions to the understanding of polynomial functors, groupoids, and bialgebras. He employs advanced categorical methods to explore fundamental structures in mathematics. His recent publications demonstrate a consistent focus on decomposition spaces and their applications across various mathematical domains. Kock has developed innovative approaches connecting combinatorial mathematics with higher categorical structures, particularly in the areas of operads and polynomial functors. His collaborative work spans multiple institutions and research groups across Europe. Professor Kock has received research funding from the Spanish Ministry of Economy and Competitiveness (MINECO) and the European Regional Development Fund (FEDER) for multiple projects, including 'Teoría de homotopía de estructuras algebráicas' and 'TEORIA DE HOMOTOPIA DE ESTRUCTURAS COMBINATORIAS Y ALGEBRAICAS.' He is actively involved in supervising graduate students and has mentored at least three students according to institutional records. His research group participates in international collaborations with institutions in France, Sweden, and the United States.

Coline EmprinView profile

Research Fellow

• Algebra
• Topology
• Mathematical Physics
• +2 more

Coline Emprin is a postdoctoral researcher in the Department of Mathematics at Stockholm University, Sweden, with her office located in the Albano building 1. Her current position is funded by the Göran Gustafsson Prize awarded to Professor Alexander Berglund. Education: PhD in Mathematics from University Sorbonne Paris Nord, supervised by Geoffroy Horel and Bruno Vallette. Teaching Assistant at École Normale Supérieure. Her research interests include Algebra, Topology, Mathematical Physics, Category Theory, and Operads, reflecting the expertise of her doctoral advisors in advanced mathematical structures and theoretical frameworks. Scientific awards: None mentioned. She is currently funded by the Göran Gustafsson Prize. No information on students or advising is provided in the given text.

• Algebraic Topology
• Homotopy Algebraic Structures
• Infinity Operads
• +4 more

Marcy Robertson is an Associate Professor (Reader) at the University of Melbourne, affiliated with the School of Mathematics and Statistics. Her research focuses on algebraic topology, particularly the study of up-to-homotopy algebraic structures and applications of operads to low-dimensional topology and geometry. She holds an ARC Future Fellowship (2021–2025) supporting her work on infinity operads and Teichmüller spaces. She currently serves as Deputy Head of the School of Mathematics and Statistics and co-organizes the weekly Topology Seminar. Robertson is actively involved in academic governance, including roles on the MATRIX Scientific Committee, the AustMS EDI committee, and the WIMSIG Executive committee. She is committed to supporting the Australian mathematics community, offering mentorship and advocacy. Contact: Email , Office: Peter Hall G28a, University of Melbourne.