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1. Topics in large-scale limits of interacting systems: games with common noise, quantitative propagation of chaos and networks.

Le Flem, Luc
2023
Theses
MathematicsGame theoryChaotic behavior in systemsStochastic systems

2. Blessing of Dependence and Distribution-Freeness in Statistical Hypothesis Testing

Deb, Nabarun
2022
Theses
StatisticsMathematicsStatistical hypothesis testing

3. Computational Inversion with Wasserstein Distances and Neural Network Induced Loss Functions

Ding, Wen
2022
Theses
MathematicsDifferential equations, PartialDistribution (Probability theory)Deep learning (Machine learning)Neural networks (Computer science)--Mathematical models

4. Deep Networks Through the Lens of Low-Dimensional Structure: Towards Mathematical and Computational Principles for Nonlinear Data

Buchanan, Sam
2022
Theses
Computer scienceMathematicsElectrical engineeringDeep learning (Machine learning)Neural networks (Computer science)--Mathematical modelsLow-dimensional topology

5. Derived Hecke Operators on Unitary Shimura Varieties

Atanasov, Stanislav Ivanov
2022
Theses
MathematicsHomology theoryCohomology operations

6. Development of Cut Cell Methods for Barrier Simulations with Shallow Water Equations

Ryoo, Chanyang
2022
Theses
MathematicsSaline water barriers--Mathematical modelsSimulation methods

7. Geometric pullback formula for unitary Shimura varieties

Dung, Nguyen Chi
2022
Theses
MathematicsNumber theoryArithmetical algebraic geometryAutomorphic formsShimura varietiesL-functions

8. Geometry of q-bic Hypersurfaces

Cheng, Raymond
2022
Theses
MathematicsHypersurfacesGeometry, Algebraic

9. Innovative derivative pricing and time series simulation techniques via machine and deep learning

Fu, Weilong
2022
Theses
Operations researchMathematicsFinanceDerivative securities--Prices--Mathematical modelsDeep learning (Machine learning)Neural networks (Computer science)--Industrial applications

10. Learning predictive models from menstrual cycle data

Li, Kathy Yinuo
2022
Theses
MathematicsMedical sciencesStatisticsMenstruationMenstrual cycleWireless communication systems in medical care

11. Materials of Science in Norman Sicily: Translation, transmission, and trade in the central Mediterranean Corridor

Reich, Robin
2022
Theses
Middle AgesNormansMathematicsAlchemyPtolemy, active 2nd centuryPlatearius, Matthaeus, -1161Almagest (Ptolemy)Circa instans (Platearius, Matthaeus)

12. Mathematical modeling of traffic flow for connected and automated vehicles

Huang, Kuang
2022
Theses
MathematicsTraffic engineering--Mathematical modelsTraffic flow--Mathematical models

13. Mean field games with heterogeneous players: From portfolio optimization to network effects

Soret, Agathe Camille
2022
Theses
Operations researchMathematicsGame theoryGames--Mathematical modelsSymmetry groups

14. On chains of monoids and their representation rings

Sitaraman, Maithreya Aravind
2022
Theses
MathematicsMonoidsRepresentations of rings (Algebra)Polynomials

15. On the Misclassification Cost Problem and Dynamic Resource Allocation Models for EMS

Sanabria Buenaventura, Elioth Mirsha
2022
Theses
Operations researchMathematicsEmergency medical servicesDecision makingNosocomial infectionsHospital patientsCall centersMarkov processes

16. Overlapping Communities on Large-Scale Networks: Benchmark Generation and Learning via Adaptive Stochastic Optimization

Grande, Alessandro Antonio
2022
Theses
StatisticsMathematicsStochastic processesMathematical optimizationComputer networksMachine learning--Statistical methods

17. Resolutions, bounds, and dimensions for derived categories of varieties

Olander, Noah
2022
Theses
MathematicsAlgebraic spacesSheaf theory

18. Sections and unirulings of families over the projective line

Pieloch, Alexander
2022
Theses
MathematicsAlgebra, HomologicalHomology theoryAnalytic functionsAlgebraic varieties

19. Some results in weak KPZ universality

Parekh, Shalin
2022
Theses
MathematicsStochastic partial differential equationsApplied mathematics

20. Spectral Moments of Rankin-Selberg L-functions

Kwan, Chung Hang
2022
Theses
MathematicsSpectral theory (Mathematics)Functions

21. Structure and symmetry of singularity models of mean curvature flow

Zhu, Jingze
2022
Theses
MathematicsCurvatureSymmetry

22. The cubic Pell equation L-function

Hinkle, Gerhardt Nicholaus Farley
2022
Theses
MathematicsPell's equationEquations, CubicFunctions, ThetaEigenvaluesForms, Quadratic

23. Unforeseen Asymmetries: A Contemporary Mathematical Reading of Kant’s Second Antinomy

Connell, Anna F.
2022
Theses
PhilosophyMathematicsKant, Immanuel, 1724-1804

24. A Mathematical Study of Learning Dynamics

Keller, Rachael Tara
2021
Theses
MathematicsMachine learningMachine learning--Mathematical modelsNeural networks (Computer science)Numerical analysis

25. A renormalization approach to the Liouville quantum gravity metric

Falconet, Hugo Pierre
2021
Theses
MathematicsQuantum gravity--MathematicsGaussian Markov random fields

26. Asymptotic representations of shifted quantum affine algebras from critical K-theory

Liu, Huaxin
2021
Theses
MathematicsAffine algebraic groupsQuantum groupsToroidal harmonics

27. Characterization of the Fluctuations in a Symmetric Ensemble of Rank-Based Interacting Particles

Garrido Garcia, Miguel Angel
2021
Theses
StatisticsMathematicsStochastic processesStochastic differential equations

28. Eisenstein series for G₂ and the symmetric cube Bloch--Kato conjecture

Mundy, Samuel Raymond
2021
Theses
MathematicsEisenstein seriesAutomorphic functions

29. Elliptic stable envelopes and 3d mirror symmetry

Kononov, Iakov
2021
Theses
MathematicsPhysicsGeometry, EnumerativeSymplectic geometry

30. Essays on the Applications of Machine Learning in Financial Markets

Wang, Muye
2021
Theses
FinanceMathematicsArtificial intelligenceMachine learning--Industrial applicationsPortfolio management--Computer programsStocksNasdaq Stock Market

31. Floer Homology via Twisted Loop Spaces

Rezchikov, Semen
2021
Theses
MathematicsFloer homologyHomology theoryLoop spaces

32. In the Beginning was the Sign. Literary Modernism and Mathematical Modernity in Carl Einstein and Robert Musil

Franke, Alwin Jorga
2021
Theses
Comparative literatureModernism (Literature)DeconstructionMathematicsPsychoanalysisRationalismCivilization, ClassicalEinstein, Carl, 1885-1940Musil, Robert, 1880-1942Cassirer, Ernst, 1874-1945Lacan, Jacques, 1901-1981Meno (Plato)

33. Large deviations of the KPZ equation, Markov duality and SPDE limits of the vertex models

Lin, Yier
2021
Theses
MathematicsStochastic modelsDuality theory (Mathematics)Markov processes--Mathematical models

34. Me, Myself and I: time-inconsistent stochastic control, contract theory and backward stochastic Volterra integral equations

Hernandez Ramirez, Miguel Camilo
2021
Theses
MathematicsEconomicsContracts--Mathematical modelsVolterra equationsStochastic control theory--Statistical methods

35. Models of Reactive-Brittle Dynamics in the Earth's Lithosphere with Applications to Hydration and Carbonation of Mantle Peridotite

Evans, Owen
2021
Theses
MathematicsLithosphereUltrabasic rocksPlate tectonicsCarbon dioxide--Environmental aspects--Mathematical modelsThermodynamics

36. Moduli of stable maps with fields

Picciotto, Renata
2021
Theses
MathematicsMappings (Mathematics)

37. On the Kahler Ricci flow, positive curvature in Hermitian geometry and non-compact Calabi-Yau metrics

Tong, Cheng Yu
2021
Theses
MathematicsGeometryManifolds (Mathematics)Hermitian structures

38. Planarity and the mean curvature flow of pinched submanifolds in higher codimension

Naff, Keaton
2021
Theses
MathematicsManifolds (Mathematics)Curvature

39. Relative Gromov-Witten Invariants - A Computation

Dolfen, Clara
2021
Theses
MathematicsManifolds (Mathematics)Gromov-Witten invariantsFiber bundles (Mathematics)

40. Some Applications of Nonlocal Models to Smoothed Particle Hydrodynamics-like Methods

Lee, Hwi
2021
Theses
MathematicsMeshless methods (Numerical analysis)Hydrodynamics--Mathematical models

41. Some Exactly Solvable Models And Their Asymptotics

Rychnovsky, Mark
2021
Theses
MathematicsBrownian motion processesEpidemiologyMathematical modelsStochastic processes--Mathematical modelsProbabilities

42. Admissible subcategories of del Pezzo surfaces

Pirozhkov, Dmitrii
2020
Theses
Mathematics

43. A Geometric Approach to Dynamical System: Global Analysis for Non-Convex Optimization

Xu, Ji
2020
Theses
Computer scienceStatisticsMathematicsAlgorithms--EvaluationComputer algorithms

44. Arbitrage Theory Under Portfolio Constraints

Li, Zhi
2020
Theses
MathematicsFinance--Mathematical modelsProbabilitiesStock exchangesPortfolio management--Mathematical models

45. Brentanian continua and their boundaries

Heller Britto, Arthur
2020
Theses
MathematicsMetaphysicsHistologyBrentano, Franz, 1838-1917Aristotle

46. Cellular dg-categories and their applications to homotopy theory of A-infinity categories

Kravets, Oleksandr
2020
Theses
MathematicsAlgebra, HomologicalTopologyAlgebra, Abstract

47. Cryptographic approaches to security and optimization in machine learning

Shi, Kevin
2020
Theses
Computer scienceMathematicsMachine learningCryptographyMathematical optimization

48. Discrete Gibbsian line ensembles and weak noise scaling for directed polymers

Wu, Xuan
2020
Theses
MathematicsProbabilitiesMathematical physics

49. Jones grading from symplectic Khovanov homology

Cheng, Zhechi
2020
Theses
MathematicsHomology theory

50. Moduli of Surfaces and Applications to Curves

Marinescu, Monica
2020
Theses
Mathematics

51. On the enumerative geometry of branched covers of curves

Lian, Carl
2020
Theses
Mathematics

52. On Wrapped Fukaya Category and loop space of Lagrangians in a Liouville Manifold

Zhang, Zhongyi
2020
Theses
MathematicsSymplectic geometry

53. Path integral techniques and Gröbner basis approaches for stochastic response analysis and optimization of diverse nonlinear dynamic systems

Petromichelakis, Ioannis
2020
Theses
Civil engineeringMathematicsStochastic analysisNonlinear systems

54. Polygenic adaptation after a sudden change in environment

Hayward, Laura K.
2020
Theses
MathematicsBiologyEvolution (Biology)Adaptation (Biology)Ecological assessment (Biology)

55. Quantum Cohomology of Slices of the Affine Grassmannian

Danilenko, Ivan
2020
Theses
MathematicsGeometry, AlgebraicCohomology operations

56. Relative Gromov-Witten theory and vertex operators

Wang, Shuai
2020
Theses
MathematicsGromov-Witten invariantsVertex operator algebras

57. Smoothness Energies in Geometry Processing

Stein, Oded
2020
Theses
MathematicsComputer scienceSmoothing filters (Mathematics)Geometry--Data processingLaplacian matrices

58. Teachers and Students Mathematical Problem-Solving Beliefs and Skills with a Focus on PISA Problems

Pekgoz, Seyma
2020
Theses
Mathematics--Study and teachingEducationMathematicsProblem solvingProblem solving--Study and teaching

59. Time evolution of the Kardar-Parisi-Zhang equation

Ghosal, Promit
2020
Theses
MathematicsStatistical mechanicsStochastic differential equationsDifferential equations, PartialApplied mathematics

60. Topics in Stochastic Portfolio Theory: Pathwise Generation of Trading Strategies, and Portfolio Theory in Open Markets

Kim, Donghan
2020
Theses
MathematicsFinanceStock exchangesPortfolio management--Mathematical modelsInvestments

61. Training Decision Trees for Optimal Decision-Making

McNellis, Ryan Thomas
2020
Theses
Operations researchStatisticsMathematicsDecision makingDecision trees

62. An h-box Method for Shallow Water Equations

Li, Jiao
2019
Theses
MathematicsStorm surges--Mathematical modelsTsunamis--Mathematical modelsAlgorithms

63. A Significant Step Toward the Development of Algebra: Al-Samawʾal Ibn Yahya Al-Maghribi, a Twelfth Century Mathematician

Nadmi, Mustapha
2019
Theses
Mathematics--Study and teachingMathematicsIslamic learning and scholarshipAlgebraMathematics--Historiography

64. Biological Insights from Geometry and Structure of Single-Cell Data

Sharma, Roshan
2019
Theses
BioinformaticsMathematicsT cells--DifferentiationGeometrySingle cell proteins

65. Blowup rate control for solution of Jang's equation and its application on Penrose inequality

Yu, Wenhua
2019
Theses
MathematicsInequalities (Mathematics)Blowing up (Algebraic geometry)

66. Brauer class over the Picard scheme of curves

Ma, Qixiao
2019
Theses
MathematicsBrauer groupsPicard schemesAlgebra

67. Career Trajectories of Mathematics Professors of African Heritage

Thomas, Trevor Aubrey
2019
Theses
MathematicsMathematics--Study and teaching (Higher)African American college teachersAfrican American college teachers--Social conditionsAfrican American mathematicians

68. Fourier expansions for Eisenstein series twisted by modular symbols and the distribution of multiples of real points on an elliptic curve

Cowan, Alexander
2019
Theses
MathematicsDiophantine approximationFourier seriesCurves, Elliptic

69. Limit theorems beyond sums of I.I.D observations

Austern, Morgane
2019
Theses
StatisticsMathematicsLimit theorems (Probability theory)Symmetry (Mathematics)Central limit theorem

70. Linear Constraints in Optimal Transport

Stebegg, Florian
2019
Theses
StatisticsMathematicsMartingales (Mathematics)

71. Multiscale Modeling and Microfluidic Study of Particle-Laden Emulsions and Foams

Das, Subhabrata
2019
Theses
Chemical engineeringMathematicsEmulsionsFoamMicrofluidics

72. Non-compact geometric flows: long time existence and type II singularities

Choi, Beomjun
2019
Theses
MathematicsGeometry, DifferentialSingularities (Mathematics)

73. Nonlocal Neumann volume-constrained problems and their application to local-nonlocal coupling

Tao, Yunzhe
2019
Theses
MathematicsContinuum mechanicsFracture mechanicsMathematical modelsNeumann problem

74. On the Picard functor in formal-rigid geometry

Li, Shizhang
2019
Theses
MathematicsPicard groupsGeometry, AlgebraicHodge theoryp-adic analysis

75. Optimal Transport and Equilibrium Problems in Mathematical Finance

Tan, Xiaowei
2019
Theses
MathematicsFinanceFinance--Mathematical modelsEquilibriumFinance--Statistical methods

76. p-adic L-functions for non-critical adjoint L-values

Lee, Pak Hin
2019
Theses
MathematicsForms, Modularp-adic numbersCohomology operationsQuadratic fields

77. Polish Mathematics Education Periodicals from 1930 to 1950.

Dabkowska, Ewa
2019
Theses
Mathematics--Study and teachingMathematicsEducation--PeriodicalsPolish people--EducationMathematics--Periodicals

78. Some canonical metrics on Kähler orbifolds

Faulk, Mitchell
2019
Theses
MathematicsOrbifoldsKählerian structuresGeometry, Differential

79. Sparse representations and quadratic approximations in path integral techniques for stochastic response analysis of diverse systems/structures

Psaros Andriopoulos, Apostolos
2019
Theses
Civil engineeringMathematicsPath integralsStochastic analysisDynamics

80. Temporal Variability in Ocean Mesoscale and Submesoscale Turbulence

Sinha, Anirban
2019
Theses
OceanographyMathematicsTurbulence

81. Testing Convexity and Acyclicity, and New Constructions for Dense Graph Embeddings

Sun, Timothy
2019
Theses
Computer scienceAlgorithmsTopological graph theoryMathematics

82. The Effects of Mathematical Game Play on the Cognitive and Affective Development of Pre-Secondary Students

Galarza, Patrick David
2019
Theses
Mathematics--Study and teachingMathematicsEducational gamesGames in mathematics educationCognitive learning

83. The linear stability of Reissner-Nordström spacetime for small charge

Giorgi, Elena
2019
Theses
MathematicsSpace and timeStability

84. The two-legged K-theoretic equivariant vertex

Osinenko, Anton
2019
Theses
MathematicsGeometryGeometry, Enumerative

85. An intersection number formula for CM-cycles in Lubin-Tate spaces

Li, Qirui
2018
Theses
MathematicsNumber theoryGeometry, Algebraic

86. Completed Symplectic Cohomology and Liouville Cobordisms

Venkatesh, Saraswathi
2018
Theses
MathematicsCohomology operationsSymplectic groupsCobordism theoryInvariantsFloer homology

87. Dominating varieties by liftable ones

van Dobben de Bruyn, Remy
2018
Theses
MathematicsGeometry, AlgebraicAlgebra, Abstract

88. Equidimensional adic eigenvarieties for groups with discrete series

Gulotta, Daniel Robert
2018
Theses
MathematicsSeriesp-adic groups

89. Growth rate of 3-manifold homologies under branched covers

Cornish, James Stevens
2018
Theses
MathematicsLow-dimensional topologyAlgebra, HomologicalFloer homology

90. K-theoretic enumerative geometry and the Hilbert scheme of points on a surface

Arbesfeld, Noah
2018
Theses
MathematicsGeometry, EnumerativeHilbert schemes

91. On Constraints Imposed by Independent Gonal Morphisms for a Curve

Jiang, Feiqi
2018
Theses
MathematicsCurvesRiemann surfacesGeometry

92. Quantitative Approaches to the Genomics of Clonal Evolution

Zairis, Sakellarios
2018
Theses
GeneticsBioinformaticsMathematicsGenomicsClones (Plants)Evolution (Biology)

93. Quantum K-theory and the Baxter Operator

Pushkar, Petr
2018
Theses
MathematicsK-theoryGrassmann manifoldsTopologyQuantum groups

94. Some Problems in Graph Theory and Scheduling

Zhong, Mingxian
2018
Theses
Operations researchComputer science--MathematicsMathematicsGraph theoryScheduling

95. Stochastic Differential Equations and Strict Local Martingales

Qiu, Lisha
2018
Theses
StatisticsMathematicsStochastic differential equationsMartingales (Mathematics)Convergence

96. The coupled Ricci flow and the anomaly flow over Riemann surface

Huang, Zhijie
2018
Theses
MathematicsRicci flowRiemann surfaces

97. The Hull-Strominger system in complex geometry

Picard, Sebastien F.
2018
Theses
MathematicsGeometryTopologyEvolution equations

98. The linear stability of the Schwarzschild spacetime in the harmonic gauge: odd part

Hung, Pei-Ken
2018
Theses
MathematicsEinstein field equationsSpace and timeDifferential equations, Linear

99. Topics in Walsh Semimartingales and Diffusions: Construction, Stochastic Calculus, and Control

Yan, Minghan
2018
Theses
MathematicsSemimartingales (Mathematics)Walsh functionsStochastic control theory

100. A Large Sieve Zero Density Estimate for Maass Cusp Forms

Lewis, Paul Dunbar
2017
Theses
MathematicsSieves (Mathematics)Cusp forms (Mathematics)