Marcolli, Matilde

Committee Member — 39 thesises

• Tao, Jim — Analysis on Vector Bundles over Noncommutative Tori (2019, Dissertation (Ph.D.))
• Yeung, Melissa L. — Applied Computational Topology for Point Clouds and Sparse Timeseries Data (2017, Dissertation (Ph.D.))
• Artymowicz, Adam Markus — Aspects of Topology and Measurement in Quantum Lattice Systems (2025, Dissertation (Ph.D.))
• Abouamal, Ismail — Bost–Connes–Marcolli System for the Siegel Modular Variety (2024, Dissertation (Ph.D.))
• Stoica, Bogdan — Boundary Relative Entropy as Quasilocal Energy: Positive Energy Theorems and Tomography (2016, Dissertation (Ph.D.))
• Teh, Kevin Kai-Wen — Dirac Spectra, Summation Formulae, and the Spectral Action (2013, Dissertation (Ph.D.))
• Norton, Thomas Clark — Discrete Deligne Cohomology and Discretized Abelian Chern-Simons Theory (2022, Dissertation (Ph.D.))
• Lieber, Joshua Franklin — Études in Homotopical Thinking: F₁-geometry, Concurrent Computing, and Motivic Measures (2021, Dissertation (Ph.D.))
• Louwsma, Joel Ryan — Extremality of the Rotation Quasimorphism on the Modular Group (2011, Dissertation (Ph.D.))
• Torres Ruiz, Rafael — Geography and Botany of Irreducible Symplectic 4-Manifolds with Abelian Fundamental Group (2010, Dissertation (Ph.D.))
• Xu, Yixin — Geometric Constraints on CFT-Like Data at Genus 0, 1, and 2. (2026, Dissertation (Ph.D.))
• Skerritt, Paul Michael — Geometric Quantization and Foliation Reduction (2013, Dissertation (Ph.D.))
• Hinault, Thorgal Gaëtan — Gromov-Witten Theory, Non-Archimedean Geometry, and Mirror Symmetry (2025, Dissertation (Ph.D.))
• Fu, Lei — Immersing Essential Surfaces in Odd Dimensional Closed Hyperbolic Manifolds (2017, Dissertation (Ph.D.))
• Gu, Liling — Integral Finite Surgeries on Knots in S³ (2014, Dissertation (Ph.D.))
• Saberi, Ingmar Akira — Knots, Trees, and Fields: Common Ground Between Physics and Mathematics (2017, Dissertation (Ph.D.))
• Skinner, Brian Paul — Logarithmic Potential Theory on Riemann Surfaces (2015, Dissertation (Ph.D.))
• Gesteau, Elliott M. — Mathematics of the Holographic Principle (2025, Dissertation (Ph.D.))
• Zhang, Jiaxin — On Multiple SLE Systems and their Deterministic Limits (2025, Dissertation (Ph.D.))
• Ćaćić, Branimir Josip — On Reconstruction Theorems in Noncommutative Riemannian Geometry (2013, Dissertation (Ph.D.))
• Dawra, Nakul — On the Link Floer Homology of L-space Link (2015, Dissertation (Ph.D.))
• Nasrollahpoursamami, Emad — Periods of Feynman Diagrams (2017, Dissertation (Ph.D.))
• Zhang, Dapeng — Projective Dirac Operators, Twisted K-Theory, and Local Index Formula (2011, Dissertation (Ph.D.))
• Yang, Bowen — Quantum States: With a View Toward Homological Algebra (2023, Dissertation (Ph.D.))
• Panangaden, Jane Mariam — Quantum Statistical Mechanics, Noncommutative Geometry, and the Boundary of Modular Curves (2022, Dissertation (Ph.D.))
• Gruen, Angus Fred Wilkinson — Regularities, Resurgence and R-Matrices in Chern Simons Theory (2023, Dissertation (Ph.D.))
• Ni, Xiang — Rota-Baxter Algebras, Renormalization on Kausz Compactifications and Replicating of Binary Operads (2016, Dissertation (Ph.D.))
• Turzillo, Alexander Michael — Short-Range Entangled Phases of Fermions (2019, Dissertation (Ph.D.))
• Kasatkin, Victor — Some Constructions, Related to Noncommutative Tori; Fredholm Modules and the Beilinson–Bloch Regulator (2015, Dissertation (Ph.D.))
• Gakkhar, Sitanshu — Spin Geometry and Quantum Diffusion (2025, Dissertation (Ph.D.))
• Heydeman, Matthew Thomas Edwin — Supersymmetric Scattering Amplitudes and Algebraic Aspects of Holography from the Projective Line (2019, Dissertation (Ph.D.))
• Walker, Alden Kent — Surface Maps into Free Groups (2012, Dissertation (Ph.D.))
• Ye, Seunghee — The Geometry of Moduli Spaces of Maps from Curves (2017, Dissertation (Ph.D.))
• Flores-Bautista, Emanuel — The Topology of Cellular Ontogeny (2025, Dissertation (Ph.D.))
• Sopenko, Nikita A. — Topological Invariants of Gapped Quantum Lattice Systems (2023, Dissertation (Ph.D.))
• You, Minyoung — Topological Phases of Matter: Classification, Stacking Law, and Relation to Topological Quantum Field Theory (2021, Dissertation (Ph.D.))
• Elliot, Ross Filip — Topological Strings, Double Affine Hecke Algebras, and Exceptional Knot Homology (2015, Dissertation (Ph.D.))
• Gekhtman, Dmitri — Two Holomorphic Extremal Problems in Teichmüller Theory (2019, Dissertation (Ph.D.))
• Graven, Andrew J. — Weighted Quadrature Domains and the Faber Transform (2026, Dissertation (Ph.D.))